%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP379-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:27 PM UTC 2026
% Result : Unsatisfiable 40.22s 7.85s
% Output : CNFRefutation 50.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 72
% Syntax : Number of formulae : 12473 ( 778 unt; 15 def)
% Number of atoms : 81597 (30431 equ)
% Maximal formula atoms : 15 ( 6 avg)
% Number of connectives : 22859 (3389 ~;19470 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 12 con; 0-2 aty)
% Number of variables : 4426 ( 0 sgn4426 !; 0 ?;4386 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c11 = inverse(sk_c3)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c10 = inverse(sk_c4)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c6)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| inverse(sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c10,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c10,sk_c9) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c11 = inverse(sk_c3)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( inverse(sk_c7) = sk_c6
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c8 = inverse(sk_c6)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f96,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f98,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f100,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f102,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f101]) ).
fof(f103,negated_conjecture,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| multiply(X5,sk_c10) != sk_c11
| inverse(X4) != X5
| multiply(X4,X5) != sk_c11
| inverse(X3) != sk_c10
| multiply(X3,sk_c10) != sk_c9
| inverse(X2) != sk_c11
| multiply(X2,sk_c11) != sk_c10
| multiply(X1,sk_c9) != sk_c11
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11
| multiply(sk_c10,sk_c9) != sk_c11
| inverse(sk_c11) != sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_51) ).
fof(f104,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| sk_c11 != multiply(X5,sk_c10)
| inverse(X4) != X5
| sk_c11 != multiply(X4,X5)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != multiply(X1,sk_c9)
| inverse(X0) != X1
| multiply(X0,X1) != sk_c11
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(sk_c11) != sk_c10 ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X6,X7,X4,X5] :
( multiply(X6,X5) != X7
| inverse(X7) != X5
| inverse(X6) != X7
| sk_c11 != multiply(X5,sk_c10)
| inverse(X4) != X5
| sk_c11 != multiply(X4,X5)
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(sk_c11) != sk_c10 ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X6,X7,X4] :
( multiply(X6,inverse(X4)) != X7
| inverse(X4) != inverse(X7)
| inverse(X6) != X7
| sk_c11 != multiply(inverse(X4),sk_c10)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(sk_c11) != sk_c10 ),
inference(equality_resolution,[],[f105]) ).
fof(f107,plain,
! [X2,X3,X0,X6,X4] :
( inverse(X6) != multiply(X6,inverse(X4))
| inverse(X4) != inverse(inverse(X6))
| sk_c11 != multiply(inverse(X4),sk_c10)
| sk_c11 != multiply(X4,inverse(X4))
| sk_c10 != inverse(X3)
| sk_c9 != multiply(X3,sk_c10)
| sk_c11 != inverse(X2)
| sk_c10 != multiply(X2,sk_c11)
| sk_c11 != multiply(inverse(X0),sk_c9)
| sk_c11 != multiply(X0,inverse(X0))
| sk_c11 != multiply(sk_c10,sk_c9)
| inverse(sk_c11) != sk_c10 ),
inference(equality_resolution,[],[f106]) ).
tcf(c_103,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_104,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_105,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_106,negated_conjecture,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_108,negated_conjecture,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_110,negated_conjecture,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c11) = sk_c10 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_116,negated_conjecture,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_118,negated_conjecture,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_120,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_122,negated_conjecture,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_125,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c10,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_126,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_128,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_129,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_132,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_133,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_134,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c11 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_135,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_136,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_138,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_139,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_140,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_141,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_142,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_143,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_145,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_146,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_147,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_148,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_149,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_150,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_151,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_152,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_153,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_154,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_155,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_156,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( inverse(sk_c11) != sk_c10 )
| ( inverse(X4) != sk_c10 )
| ( inverse(X3) != sk_c11 )
| ( multiply(sk_c10,sk_c9) != sk_c11 )
| ( multiply(X4,sk_c10) != sk_c9 )
| ( multiply(X3,sk_c11) != sk_c10 )
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X2),sk_c9) != sk_c11 )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X2,inverse(X2)) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_617,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_156]) ).
tcf(c_618,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_156]) ).
tcf(c_619,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c9) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_156]) ).
tcf(c_620,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_156]) ).
tcf(c_621,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c11) != sk_c10 )
| ( multiply(sk_c10,sk_c9) != sk_c11 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_156]) ).
tcf(c_622,definition,
iPr_def_14 = multiply(sk_c10,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_623,definition,
iPr_def_15 = inverse(sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_624,definition,
iPr_def_16 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_625,definition,
iPr_def_17 = multiply(sk_c2,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_626,definition,
iPr_def_18 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_627,definition,
iPr_def_19 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_628,definition,
iPr_def_20 = multiply(sk_c8,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_629,definition,
iPr_def_21 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_630,definition,
iPr_def_22 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_631,definition,
iPr_def_23 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_632,definition,
iPr_def_24 = multiply(sk_c4,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_633,definition,
iPr_def_25 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_634,definition,
iPr_def_26 = multiply(sk_c3,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_635,definition,
iPr_def_27 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_636,definition,
iPr_def_28 = multiply(sk_c1,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_637,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c10 )
| ( iPr_def_14 != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_621,c_623,c_622]) ).
tcf(c_638,negated_conjecture,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_620]) ).
tcf(c_639,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( multiply(inverse(X0),sk_c9) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(demodulation,[status(thm)],[c_619]) ).
tcf(c_640,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_618]) ).
tcf(c_641,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_617]) ).
tcf(c_642,negated_conjecture,
( ( iPr_def_17 = sk_c11 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_155,c_625,c_624]) ).
tcf(c_643,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_154,c_626]) ).
tcf(c_644,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_153,c_627]) ).
tcf(c_645,negated_conjecture,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_152,c_628]) ).
tcf(c_646,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_151,c_629]) ).
tcf(c_647,negated_conjecture,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_150,c_630]) ).
tcf(c_648,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_149,c_631]) ).
tcf(c_649,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_148,c_632]) ).
tcf(c_650,negated_conjecture,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_147,c_633]) ).
tcf(c_651,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_17 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_146,c_634]) ).
tcf(c_652,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_145,c_635]) ).
tcf(c_653,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_654,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_655,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_656,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_657,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_658,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_659,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_660,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_661,negated_conjecture,
( ( iPr_def_27 = sk_c2 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_136]) ).
tcf(c_662,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_135,c_636]) ).
tcf(c_663,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_18 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_664,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_665,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_20 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_666,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_21 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_667,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_22 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_668,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_23 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_669,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_24 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_670,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_25 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_671,negated_conjecture,
( ( iPr_def_28 = sk_c11 )
| ( iPr_def_26 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_672,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_125]) ).
tcf(c_673,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_674,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_675,negated_conjecture,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_676,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_677,negated_conjecture,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_678,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_679,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_680,negated_conjecture,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_681,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_14 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_682,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_115]) ).
tcf(c_683,negated_conjecture,
( ( iPr_def_18 = sk_c8 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_684,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_685,negated_conjecture,
( ( iPr_def_20 = sk_c11 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_686,negated_conjecture,
( ( iPr_def_21 = sk_c8 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_687,negated_conjecture,
( ( iPr_def_22 = sk_c11 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_688,negated_conjecture,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_689,negated_conjecture,
( ( iPr_def_24 = sk_c9 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_690,negated_conjecture,
( ( iPr_def_25 = sk_c11 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_691,negated_conjecture,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_15 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_692,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_693,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_694,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = inverse(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_696,plain,
( ( inverse(sk_c11) = inverse(sk_c11) )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_694]) ).
tcf(c_698,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_699,plain,
( ~ iPr_def_10
| ( inverse(sk_c11) != sk_c11 )
| ( multiply(sk_c11,sk_c11) != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_641]) ).
tcf(c_1007,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_642,c_644]) ).
tcf(c_1019,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_643,c_646]) ).
tcf(c_1027,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_645,c_647]) ).
tcf(c_1039,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_648,c_622]) ).
tcf(c_1040,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_649,c_622]) ).
tcf(c_1045,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_647,c_623]) ).
tcf(c_1046,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_645,c_623]) ).
tcf(c_1051,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_644,c_626]) ).
tcf(c_1052,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_642,c_626]) ).
tcf(c_1063,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_650,c_623]) ).
tcf(c_1064,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_650,c_647]) ).
tcf(c_1065,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_650,c_645]) ).
tcf(c_1077,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_651,c_622]) ).
tcf(c_1078,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_651,c_648]) ).
tcf(c_1088,plain,
( ( sk_c2 = iPr_def_27 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_652,c_626]) ).
tcf(c_1089,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_652,c_644]) ).
tcf(c_1099,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_646,c_653]) ).
tcf(c_1110,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c2 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_654,c_652]) ).
tcf(c_1111,plain,
( ( sk_c2 = iPr_def_27 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_654,c_626]) ).
tcf(c_1127,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c2 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_656,c_653]) ).
tcf(c_1135,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_656,c_624]) ).
tcf(c_1136,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_653,c_624]) ).
tcf(c_1137,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_646,c_624]) ).
tcf(c_1138,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_643,c_624]) ).
tcf(c_1147,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_657,c_625]) ).
tcf(c_1148,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_655,c_625]) ).
tcf(c_1149,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_625]) ).
tcf(c_1156,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_656,c_628]) ).
tcf(c_1157,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_653,c_628]) ).
tcf(c_1158,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_646,c_628]) ).
tcf(c_1159,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_643,c_628]) ).
tcf(c_1160,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_651,c_628]) ).
tcf(c_1161,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_648,c_628]) ).
tcf(c_1174,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_656,c_630]) ).
tcf(c_1175,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_653,c_630]) ).
tcf(c_1176,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_646,c_630]) ).
tcf(c_1177,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_643,c_630]) ).
tcf(c_1186,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_651,c_632]) ).
tcf(c_1187,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_648,c_632]) ).
tcf(c_1192,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_634]) ).
tcf(c_1193,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_647,c_634]) ).
tcf(c_1194,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_645,c_634]) ).
tcf(c_1201,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_657,c_636]) ).
tcf(c_1202,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_655,c_636]) ).
tcf(c_1207,plain,
multiply(iPr_def_15,sk_c11) = identity,
inference(superposition,[status(thm)],[c_623,c_104]) ).
tcf(c_1208,plain,
multiply(iPr_def_25,sk_c3) = identity,
inference(superposition,[status(thm)],[c_633,c_104]) ).
tcf(c_1209,plain,
multiply(iPr_def_23,sk_c4) = identity,
inference(superposition,[status(thm)],[c_631,c_104]) ).
tcf(c_1210,plain,
multiply(iPr_def_21,sk_c5) = identity,
inference(superposition,[status(thm)],[c_629,c_104]) ).
tcf(c_1211,plain,
multiply(iPr_def_19,sk_c7) = identity,
inference(superposition,[status(thm)],[c_627,c_104]) ).
tcf(c_1212,plain,
multiply(iPr_def_18,sk_c6) = identity,
inference(superposition,[status(thm)],[c_626,c_104]) ).
tcf(c_1213,plain,
multiply(iPr_def_27,sk_c1) = identity,
inference(superposition,[status(thm)],[c_635,c_104]) ).
tcf(c_1214,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_650,c_1207]) ).
tcf(c_1215,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_647,c_1207]) ).
tcf(c_1216,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_645,c_1207]) ).
tcf(c_1227,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_658,c_636]) ).
tcf(c_1228,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_658,c_625]) ).
tcf(c_1237,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_659,c_625]) ).
tcf(c_1238,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_659,c_622]) ).
tcf(c_1247,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_660,c_636]) ).
tcf(c_1248,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_660,c_625]) ).
tcf(c_1257,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_661,c_636]) ).
tcf(c_1258,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_625]) ).
tcf(c_1263,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c11 )
| ( iPr_def_14 != X0 )
| ( sk_c11 != X0 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1271,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_662,c_626]) ).
tcf(c_1272,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_662,c_644]) ).
tcf(c_1278,plain,
( ( iPr_def_14 = sk_c11 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c11 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_1279,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_1280,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1288,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_663,c_630]) ).
tcf(c_1289,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_663,c_628]) ).
tcf(c_1290,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_663,c_624]) ).
tcf(c_1292,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_663,c_646]) ).
tcf(c_1309,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_662]) ).
tcf(c_1311,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_664,c_626]) ).
tcf(c_1317,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != X0 )
| ( sk_c11 != X0 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1318,plain,
( ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != sk_c11 )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_1317]) ).
tcf(c_1326,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_665,c_1207]) ).
tcf(c_1327,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_665,c_634]) ).
tcf(c_1328,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_665,c_650]) ).
tcf(c_1329,plain,
( ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_665,c_623]) ).
tcf(c_1330,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_665,c_647]) ).
tcf(c_1331,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_665,c_645]) ).
tcf(c_1352,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1280]) ).
tcf(c_1375,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_666,c_663]) ).
tcf(c_1376,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_666,c_630]) ).
tcf(c_1377,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_666,c_628]) ).
tcf(c_1378,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_666,c_624]) ).
tcf(c_1396,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_1207]) ).
tcf(c_1397,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_667,c_634]) ).
tcf(c_1398,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_650]) ).
tcf(c_1399,plain,
( ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_623]) ).
tcf(c_1400,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_647]) ).
tcf(c_1401,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_645]) ).
tcf(c_1420,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1427,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_668,c_632]) ).
tcf(c_1428,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_668,c_628]) ).
tcf(c_1429,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_668,c_651]) ).
tcf(c_1430,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_668,c_622]) ).
tcf(c_1450,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_625]) ).
tcf(c_1451,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_669,c_622]) ).
tcf(c_1463,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_670,c_1207]) ).
tcf(c_1464,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_670,c_634]) ).
tcf(c_1465,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_670,c_650]) ).
tcf(c_1466,plain,
( ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_670,c_623]) ).
tcf(c_1467,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_670,c_647]) ).
tcf(c_1468,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_670,c_645]) ).
tcf(c_1498,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_671,c_668]) ).
tcf(c_1499,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_632]) ).
tcf(c_1500,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_628]) ).
tcf(c_1501,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_622]) ).
tcf(c_1531,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_672,c_626]) ).
tcf(c_1543,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_673,c_630]) ).
tcf(c_1544,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_673,c_628]) ).
tcf(c_1545,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_673,c_624]) ).
tcf(c_1562,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_672]) ).
tcf(c_1565,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_674,c_626]) ).
tcf(c_1591,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_675,c_670]) ).
tcf(c_1592,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_675,c_667]) ).
tcf(c_1593,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_675,c_665]) ).
tcf(c_1594,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_675,c_1207]) ).
tcf(c_1595,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_675,c_634]) ).
tcf(c_1597,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_675,c_623]) ).
tcf(c_1631,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_676,c_673]) ).
tcf(c_1633,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_676,c_630]) ).
tcf(c_1634,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_676,c_628]) ).
tcf(c_1635,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_676,c_624]) ).
tcf(c_1647,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_1649,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1660,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_677,c_675]) ).
tcf(c_1661,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_677,c_670]) ).
tcf(c_1662,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_677,c_667]) ).
tcf(c_1663,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_677,c_665]) ).
tcf(c_1664,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_1207]) ).
tcf(c_1665,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_634]) ).
tcf(c_1667,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_623]) ).
tcf(c_1708,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_678,c_632]) ).
tcf(c_1709,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_628]) ).
tcf(c_1711,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_678,c_622]) ).
tcf(c_1722,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_625]) ).
tcf(c_1723,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_679,c_622]) ).
tcf(c_1749,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_677]) ).
tcf(c_1750,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_675]) ).
tcf(c_1751,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_670]) ).
tcf(c_1752,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_667]) ).
tcf(c_1753,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_665]) ).
tcf(c_1754,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_680,c_1207]) ).
tcf(c_1755,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_680,c_634]) ).
tcf(c_1756,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_680,c_623]) ).
tcf(c_1794,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1807,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_681,c_678]) ).
tcf(c_1809,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_632]) ).
tcf(c_1810,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_628]) ).
tcf(c_1811,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_681,c_622]) ).
tcf(c_1829,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_682,c_674]) ).
tcf(c_1830,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_682,c_664]) ).
tcf(c_1832,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_682,c_626]) ).
tcf(c_1833,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_682,c_644]) ).
tcf(c_1862,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_683,c_676]) ).
tcf(c_1863,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_683,c_666]) ).
tcf(c_1864,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_630]) ).
tcf(c_1865,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_683,c_628]) ).
tcf(c_1866,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_683,c_624]) ).
tcf(c_1868,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_683,c_646]) ).
tcf(c_1904,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_682,c_1212]) ).
tcf(c_1905,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_674,c_1212]) ).
tcf(c_1906,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_672,c_1212]) ).
tcf(c_1907,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_664,c_1212]) ).
tcf(c_1908,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_662,c_1212]) ).
tcf(c_1909,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_654,c_1212]) ).
tcf(c_1910,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_652,c_1212]) ).
tcf(c_1911,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_644,c_1212]) ).
tcf(c_1912,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_642,c_1212]) ).
tcf(c_1950,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1649]) ).
tcf(c_1963,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = X3 )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_1977,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_684,c_1212]) ).
tcf(c_1978,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_684,c_682]) ).
tcf(c_1982,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_684,c_626]) ).
tcf(c_2000,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_681]) ).
tcf(c_2001,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_678]) ).
tcf(c_2002,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_671]) ).
tcf(c_2003,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_668]) ).
tcf(c_2004,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_685,c_632]) ).
tcf(c_2005,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_628]) ).
tcf(c_2006,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_685,c_651]) ).
tcf(c_2007,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_622]) ).
tcf(c_2008,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_685,c_648]) ).
tcf(c_2034,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_2038,plain,
sk_c9 = sk_c9,
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_2051,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_686,c_683]) ).
tcf(c_2054,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_686,c_630]) ).
tcf(c_2055,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_686,c_628]) ).
tcf(c_2056,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_686,c_624]) ).
tcf(c_2077,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_687,c_681]) ).
tcf(c_2078,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_687,c_678]) ).
tcf(c_2079,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_687,c_671]) ).
tcf(c_2080,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_687,c_668]) ).
tcf(c_2081,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_632]) ).
tcf(c_2082,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_628]) ).
tcf(c_2083,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_651]) ).
tcf(c_2084,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_687,c_622]) ).
tcf(c_2085,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_648]) ).
tcf(c_2120,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_2146,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_688,c_687]) ).
tcf(c_2147,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_688,c_685]) ).
tcf(c_2148,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_688,c_681]) ).
tcf(c_2149,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_688,c_671]) ).
tcf(c_2150,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_688,c_632]) ).
tcf(c_2151,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_688,c_628]) ).
tcf(c_2152,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_688,c_651]) ).
tcf(c_2153,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_688,c_622]) ).
tcf(c_2191,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_625]) ).
tcf(c_2192,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_689,c_622]) ).
tcf(c_2211,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_690,c_688]) ).
tcf(c_2212,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_681]) ).
tcf(c_2213,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_678]) ).
tcf(c_2214,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_690,c_671]) ).
tcf(c_2215,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_690,c_668]) ).
tcf(c_2216,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_690,c_632]) ).
tcf(c_2217,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_628]) ).
tcf(c_2218,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_690,c_651]) ).
tcf(c_2219,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_622]) ).
tcf(c_2220,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_690,c_648]) ).
tcf(c_2265,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_1420]) ).
tcf(c_2269,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = iPr_def_14 )
| ( iPr_def_14 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_1420]) ).
tcf(c_2288,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_691,c_690]) ).
tcf(c_2289,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
tcf(c_2290,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_691,c_687]) ).
tcf(c_2291,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_685]) ).
tcf(c_2294,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_691,c_632]) ).
tcf(c_2295,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_628]) ).
tcf(c_2296,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_691,c_622]) ).
tcf(c_2327,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_680,c_637]) ).
tcf(c_2328,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_677,c_637]) ).
tcf(c_2329,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_675,c_637]) ).
tcf(c_2330,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_25 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_670,c_637]) ).
tcf(c_2331,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_22 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_667,c_637]) ).
tcf(c_2332,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_665,c_637]) ).
tcf(c_2333,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_650,c_637]) ).
tcf(c_2334,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_647,c_637]) ).
tcf(c_2335,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_645,c_637]) ).
tcf(c_2448,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_632,c_640]) ).
tcf(c_2449,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(sk_c8) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_628,c_640]) ).
tcf(c_2450,plain,
( ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_640]) ).
tcf(c_2451,plain,
( ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104,c_640]) ).
tcf(c_2452,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_691,c_640]) ).
tcf(c_2453,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_690,c_640]) ).
tcf(c_2454,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_688,c_640]) ).
tcf(c_2455,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_687,c_640]) ).
tcf(c_2456,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_685,c_640]) ).
tcf(c_2457,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_681,c_640]) ).
tcf(c_2458,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_678,c_640]) ).
tcf(c_2459,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_671,c_640]) ).
tcf(c_2460,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_668,c_640]) ).
tcf(c_2461,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_651,c_640]) ).
tcf(c_2462,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_648,c_640]) ).
tcf(c_2469,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2448,c_631]) ).
tcf(c_2598,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1007,c_637]) ).
tcf(c_2602,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1007,c_670]) ).
tcf(c_2603,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1007,c_667]) ).
tcf(c_2604,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1007,c_665]) ).
tcf(c_2605,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_1007,c_1207]) ).
tcf(c_2606,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1007,c_634]) ).
tcf(c_2608,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1007,c_623]) ).
tcf(c_2657,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_634,c_105]) ).
tcf(c_2658,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_632,c_105]) ).
tcf(c_2659,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_630,c_105]) ).
tcf(c_2660,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_628,c_105]) ).
tcf(c_2661,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_624,c_105]) ).
tcf(c_2662,plain,
! [X0: $i] : multiply(sk_c10,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_622,c_105]) ).
tcf(c_2663,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_636,c_105]) ).
tcf(c_2664,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_625,c_105]) ).
tcf(c_2665,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_103,c_105]) ).
tcf(c_2666,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_2668,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1207,c_105]) ).
tcf(c_2669,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1208,c_105]) ).
tcf(c_2670,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1209,c_105]) ).
tcf(c_2671,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1210,c_105]) ).
tcf(c_2672,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1211,c_105]) ).
tcf(c_2673,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1212,c_105]) ).
tcf(c_2674,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1213,c_105]) ).
tcf(c_2675,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(multiply(X0,multiply(X1,X2)),X3) = multiply(multiply(X0,X1),multiply(X2,X3)),
inference(superposition,[status(thm)],[c_105,c_105]) ).
tcf(c_2676,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_105,c_640]) ).
tcf(c_2677,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2674,c_103]) ).
tcf(c_2678,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2673,c_103]) ).
tcf(c_2679,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2672,c_103]) ).
tcf(c_2680,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2671,c_103]) ).
tcf(c_2681,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2670,c_103]) ).
tcf(c_2682,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2669,c_103]) ).
tcf(c_2683,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c11,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2668,c_103]) ).
tcf(c_2798,plain,
( ( iPr_def_14 = sk_c10 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c10 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1352]) ).
tcf(c_2815,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1019,c_637]) ).
tcf(c_2816,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1019,c_680]) ).
tcf(c_2817,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1019,c_677]) ).
tcf(c_2818,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1019,c_675]) ).
tcf(c_2819,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1019,c_670]) ).
tcf(c_2820,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1019,c_667]) ).
tcf(c_2821,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1019,c_665]) ).
tcf(c_2822,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_1019,c_1207]) ).
tcf(c_2823,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1019,c_634]) ).
tcf(c_2824,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1019,c_650]) ).
tcf(c_2825,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1019,c_623]) ).
tcf(c_2826,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1019,c_647]) ).
tcf(c_2827,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1019,c_645]) ).
tcf(c_2868,plain,
( ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1950]) ).
tcf(c_2927,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1027,c_637]) ).
tcf(c_2928,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1027,c_680]) ).
tcf(c_2929,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1027,c_677]) ).
tcf(c_2930,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1027,c_675]) ).
tcf(c_2931,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1027,c_670]) ).
tcf(c_2932,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1027,c_667]) ).
tcf(c_2933,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1027,c_665]) ).
tcf(c_2934,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_1027,c_1207]) ).
tcf(c_2935,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1027,c_634]) ).
tcf(c_2936,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1027,c_650]) ).
tcf(c_2937,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1027,c_623]) ).
tcf(c_2938,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1027,c_647]) ).
tcf(c_2939,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1027,c_645]) ).
tcf(c_2991,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = X2 )
| ( X2 != iPr_def_14 )
| ( multiply(X0,X1) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1963]) ).
tcf(c_3042,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1064,c_637]) ).
tcf(c_3043,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1064,c_680]) ).
tcf(c_3044,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1064,c_677]) ).
tcf(c_3045,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1064,c_675]) ).
tcf(c_3046,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1064,c_670]) ).
tcf(c_3047,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1064,c_667]) ).
tcf(c_3048,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1064,c_665]) ).
tcf(c_3049,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_1064,c_1207]) ).
tcf(c_3050,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1064,c_634]) ).
tcf(c_3051,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1064,c_650]) ).
tcf(c_3052,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1064,c_623]) ).
tcf(c_3053,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1064,c_647]) ).
tcf(c_3054,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1064,c_645]) ).
tcf(c_3160,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1065,c_637]) ).
tcf(c_3161,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1065,c_680]) ).
tcf(c_3162,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1065,c_677]) ).
tcf(c_3163,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1065,c_675]) ).
tcf(c_3164,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1065,c_670]) ).
tcf(c_3165,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1065,c_667]) ).
tcf(c_3166,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1065,c_665]) ).
tcf(c_3167,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_1065,c_1207]) ).
tcf(c_3168,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1065,c_634]) ).
tcf(c_3169,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1065,c_650]) ).
tcf(c_3170,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1065,c_623]) ).
tcf(c_3171,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1065,c_647]) ).
tcf(c_3172,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1065,c_645]) ).
tcf(c_3215,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_15 )
| ( X0 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_1794]) ).
tcf(c_3241,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1078,c_637]) ).
tcf(c_3242,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1078,c_680]) ).
tcf(c_3243,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1078,c_677]) ).
tcf(c_3244,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1078,c_675]) ).
tcf(c_3245,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1078,c_670]) ).
tcf(c_3246,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1078,c_667]) ).
tcf(c_3247,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1078,c_665]) ).
tcf(c_3248,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_1078,c_1207]) ).
tcf(c_3249,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1078,c_634]) ).
tcf(c_3250,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1078,c_650]) ).
tcf(c_3251,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1078,c_623]) ).
tcf(c_3252,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1078,c_647]) ).
tcf(c_3253,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1078,c_645]) ).
tcf(c_3298,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_693]) ).
tcf(c_3326,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1110,c_636]) ).
tcf(c_3327,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1110,c_625]) ).
tcf(c_3354,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1127,c_636]) ).
tcf(c_3355,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1127,c_625]) ).
tcf(c_3366,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_634,c_641]) ).
tcf(c_3367,plain,
( ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_641]) ).
tcf(c_3368,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_641]) ).
tcf(c_3369,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( inverse(multiply(X0,X1)) != sk_c11 )
| ( multiply(X0,multiply(X1,sk_c11)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_105,c_641]) ).
tcf(c_3370,plain,
( ~ iPr_def_10
| ( sk_c10 != identity )
| ( inverse(iPr_def_15) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_641]) ).
tcf(c_3371,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1078,c_641]) ).
tcf(c_3372,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1065,c_641]) ).
tcf(c_3373,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1064,c_641]) ).
tcf(c_3374,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1027,c_641]) ).
tcf(c_3375,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1019,c_641]) ).
tcf(c_3376,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1007,c_641]) ).
tcf(c_3377,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_680,c_641]) ).
tcf(c_3378,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_677,c_641]) ).
tcf(c_3379,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_675,c_641]) ).
tcf(c_3380,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_670,c_641]) ).
tcf(c_3381,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_667,c_641]) ).
tcf(c_3382,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_665,c_641]) ).
tcf(c_3383,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_650,c_641]) ).
tcf(c_3384,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_647,c_641]) ).
tcf(c_3385,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_645,c_641]) ).
tcf(c_3392,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( sk_c11 != iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_3366,c_633]) ).
tcf(c_3477,plain,
! [X0: $i] :
( ( sk_c9 = X0 )
| ( sk_c9 != sk_c9 )
| ( X0 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_2034]) ).
tcf(c_3518,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c11 )
| ( multiply(inverse(identity),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_639]) ).
tcf(c_3519,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( multiply(inverse(multiply(X0,X1)),sk_c9) != sk_c11 )
| ( multiply(X0,multiply(X1,inverse(multiply(X0,X1)))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_105,c_639]) ).
tcf(c_3520,plain,
( ~ iPr_def_12
| ( multiply(sk_c11,iPr_def_15) != sk_c11 )
| ( multiply(inverse(sk_c11),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_623,c_639]) ).
tcf(c_3521,plain,
( ~ iPr_def_12
| ( multiply(sk_c3,iPr_def_25) != sk_c11 )
| ( multiply(inverse(sk_c3),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_633,c_639]) ).
tcf(c_3522,plain,
( ~ iPr_def_12
| ( multiply(sk_c4,iPr_def_23) != sk_c11 )
| ( multiply(inverse(sk_c4),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_631,c_639]) ).
tcf(c_3523,plain,
( ~ iPr_def_12
| ( multiply(sk_c5,iPr_def_21) != sk_c11 )
| ( multiply(inverse(sk_c5),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_629,c_639]) ).
tcf(c_3524,plain,
( ~ iPr_def_12
| ( multiply(sk_c7,iPr_def_19) != sk_c11 )
| ( multiply(inverse(sk_c7),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_627,c_639]) ).
tcf(c_3525,plain,
( ~ iPr_def_12
| ( multiply(sk_c6,iPr_def_18) != sk_c11 )
| ( multiply(inverse(sk_c6),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_626,c_639]) ).
tcf(c_3526,plain,
( ~ iPr_def_12
| ( multiply(sk_c1,iPr_def_27) != sk_c11 )
| ( multiply(inverse(sk_c1),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_635,c_639]) ).
tcf(c_3530,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_27,sk_c9) != sk_c11 )
| ( multiply(sk_c1,iPr_def_27) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3526,c_635]) ).
tcf(c_3534,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_18,sk_c9) != sk_c11 )
| ( multiply(sk_c6,iPr_def_18) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3525,c_626]) ).
tcf(c_3538,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_19,sk_c9) != sk_c11 )
| ( multiply(sk_c7,iPr_def_19) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3524,c_627]) ).
tcf(c_3542,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_21,sk_c9) != sk_c11 )
| ( multiply(sk_c5,iPr_def_21) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3523,c_629]) ).
tcf(c_3546,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_23,sk_c9) != sk_c11 )
| ( multiply(sk_c4,iPr_def_23) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3522,c_631]) ).
tcf(c_3550,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_25,sk_c9) != sk_c11 )
| ( multiply(sk_c3,iPr_def_25) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3521,c_633]) ).
tcf(c_3554,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_15,sk_c9) != sk_c11 )
| ( multiply(sk_c11,iPr_def_15) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_3520,c_623]) ).
tcf(c_3641,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_638]) ).
tcf(c_3642,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( inverse(inverse(inverse(X0))) != identity )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(inverse(inverse(X0)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_104,c_638]) ).
tcf(c_3643,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X2),sk_c10) != sk_c11 )
| ( multiply(X2,inverse(X2)) != sk_c11 )
| ( inverse(inverse(multiply(X0,X1))) != inverse(X2) )
| ( multiply(X0,multiply(X1,inverse(X2))) != inverse(multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_105,c_638]) ).
tcf(c_3644,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c11) )
| ( multiply(sk_c11,inverse(sk_c11)) != sk_c11 )
| ( multiply(inverse(sk_c11),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_623,c_638]) ).
tcf(c_3645,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c3) )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c11 )
| ( multiply(inverse(sk_c3),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_633,c_638]) ).
tcf(c_3646,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c4) )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c11 )
| ( multiply(inverse(sk_c4),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_631,c_638]) ).
tcf(c_3647,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,iPr_def_21) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c5) )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_629,c_638]) ).
tcf(c_3648,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c11 )
| ( multiply(inverse(sk_c7),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_627,c_638]) ).
tcf(c_3649,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c6) )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c11 )
| ( multiply(inverse(sk_c6),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_626,c_638]) ).
tcf(c_3650,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(sk_c1) )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c11 )
| ( multiply(inverse(sk_c1),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_635,c_638]) ).
tcf(c_3656,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_27,sk_c10) != sk_c11 )
| ( multiply(sk_c1,iPr_def_27) != sk_c11 )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_3650,c_635]) ).
tcf(c_3662,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_18,sk_c10) != sk_c11 )
| ( multiply(sk_c6,iPr_def_18) != sk_c11 )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_3649,c_626]) ).
tcf(c_3668,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_19,sk_c10) != sk_c11 )
| ( multiply(sk_c7,iPr_def_19) != sk_c11 )
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_3648,c_627]) ).
tcf(c_3674,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_21,sk_c10) != sk_c11 )
| ( multiply(sk_c5,iPr_def_21) != sk_c11 )
| ( multiply(X0,iPr_def_21) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_3647,c_629]) ).
tcf(c_3680,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_23,sk_c10) != sk_c11 )
| ( multiply(sk_c4,iPr_def_23) != sk_c11 )
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_3646,c_631]) ).
tcf(c_3686,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_25,sk_c10) != sk_c11 )
| ( multiply(sk_c3,iPr_def_25) != sk_c11 )
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_3645,c_633]) ).
tcf(c_3692,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_15,sk_c10) != sk_c11 )
| ( multiply(sk_c11,iPr_def_15) != sk_c11 )
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_3644,c_623]) ).
tcf(c_3782,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1309,c_641]) ).
tcf(c_3788,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1309,c_1007]) ).
tcf(c_3789,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1309,c_637]) ).
tcf(c_3793,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_1309,c_1207]) ).
tcf(c_3794,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1309,c_634]) ).
tcf(c_3796,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1309,c_623]) ).
tcf(c_3852,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1375,c_641]) ).
tcf(c_3857,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1375,c_1019]) ).
tcf(c_3859,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1375,c_637]) ).
tcf(c_3863,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_1375,c_1207]) ).
tcf(c_3864,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1375,c_634]) ).
tcf(c_3866,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1375,c_623]) ).
tcf(c_3914,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1498,c_641]) ).
tcf(c_3915,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1498,c_1078]) ).
tcf(c_3916,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1498,c_1065]) ).
tcf(c_3917,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1498,c_1064]) ).
tcf(c_3918,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1498,c_1027]) ).
tcf(c_3921,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1498,c_637]) ).
tcf(c_3923,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1498,c_677]) ).
tcf(c_3924,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1498,c_675]) ).
tcf(c_3925,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_1498,c_1207]) ).
tcf(c_3926,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1498,c_634]) ).
tcf(c_3928,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1498,c_623]) ).
tcf(c_3929,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1498,c_647]) ).
tcf(c_3930,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1498,c_645]) ).
tcf(c_3998,plain,
( ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_2265]) ).
tcf(c_4066,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1562,c_1309]) ).
tcf(c_4067,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1562,c_641]) ).
tcf(c_4073,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1562,c_1007]) ).
tcf(c_4074,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1562,c_637]) ).
tcf(c_4075,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1562,c_680]) ).
tcf(c_4076,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1562,c_677]) ).
tcf(c_4077,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1562,c_675]) ).
tcf(c_4081,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_1562,c_1207]) ).
tcf(c_4082,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1562,c_634]) ).
tcf(c_4083,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1562,c_650]) ).
tcf(c_4084,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1562,c_623]) ).
tcf(c_4085,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1562,c_647]) ).
tcf(c_4086,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1562,c_645]) ).
tcf(c_4190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1631,c_1375]) ).
tcf(c_4192,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1631,c_641]) ).
tcf(c_4197,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1631,c_1019]) ).
tcf(c_4199,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1631,c_637]) ).
tcf(c_4200,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1631,c_680]) ).
tcf(c_4201,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1631,c_677]) ).
tcf(c_4202,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1631,c_675]) ).
tcf(c_4206,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_1631,c_1207]) ).
tcf(c_4207,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1631,c_634]) ).
tcf(c_4208,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1631,c_650]) ).
tcf(c_4209,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1631,c_623]) ).
tcf(c_4210,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1631,c_647]) ).
tcf(c_4211,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1631,c_645]) ).
tcf(c_4292,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_679,c_1039]) ).
tcf(c_4295,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_649,c_1039]) ).
tcf(c_4296,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1039,c_105]) ).
tcf(c_4336,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1660,c_1498]) ).
tcf(c_4339,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1660,c_641]) ).
tcf(c_4343,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1660,c_1027]) ).
tcf(c_4346,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1660,c_637]) ).
tcf(c_4347,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1660,c_680]) ).
tcf(c_4348,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1660,c_677]) ).
tcf(c_4349,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1660,c_675]) ).
tcf(c_4350,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1660,c_670]) ).
tcf(c_4351,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1660,c_667]) ).
tcf(c_4352,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1660,c_665]) ).
tcf(c_4353,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_1660,c_1207]) ).
tcf(c_4354,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1660,c_634]) ).
tcf(c_4355,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1660,c_650]) ).
tcf(c_4356,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1660,c_623]) ).
tcf(c_4357,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1660,c_647]) ).
tcf(c_4358,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1660,c_645]) ).
tcf(c_4468,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1749,c_1498]) ).
tcf(c_4471,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1749,c_641]) ).
tcf(c_4473,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1749,c_1065]) ).
tcf(c_4474,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1749,c_1064]) ).
tcf(c_4478,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1749,c_637]) ).
tcf(c_4479,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_680]) ).
tcf(c_4480,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_677]) ).
tcf(c_4481,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_675]) ).
tcf(c_4482,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1749,c_670]) ).
tcf(c_4483,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1749,c_667]) ).
tcf(c_4484,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1749,c_665]) ).
tcf(c_4485,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_1749,c_1207]) ).
tcf(c_4486,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1749,c_634]) ).
tcf(c_4487,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1749,c_650]) ).
tcf(c_4488,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1749,c_623]) ).
tcf(c_4489,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1749,c_647]) ).
tcf(c_4490,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1749,c_645]) ).
tcf(c_4643,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1750,c_1498]) ).
tcf(c_4646,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1750,c_641]) ).
tcf(c_4648,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1750,c_1065]) ).
tcf(c_4653,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1750,c_637]) ).
tcf(c_4654,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1750,c_680]) ).
tcf(c_4655,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1750,c_677]) ).
tcf(c_4656,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1750,c_675]) ).
tcf(c_4657,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1750,c_670]) ).
tcf(c_4658,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1750,c_667]) ).
tcf(c_4659,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1750,c_665]) ).
tcf(c_4660,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_1750,c_1207]) ).
tcf(c_4661,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1750,c_634]) ).
tcf(c_4662,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1750,c_650]) ).
tcf(c_4663,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1750,c_623]) ).
tcf(c_4664,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1750,c_647]) ).
tcf(c_4665,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1750,c_645]) ).
tcf(c_4895,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1807,c_1498]) ).
tcf(c_4898,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1807,c_641]) ).
tcf(c_4899,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1807,c_1078]) ).
tcf(c_4905,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1807,c_637]) ).
tcf(c_4906,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1807,c_680]) ).
tcf(c_4907,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1807,c_677]) ).
tcf(c_4908,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1807,c_675]) ).
tcf(c_4912,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_1807,c_1207]) ).
tcf(c_4913,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1807,c_634]) ).
tcf(c_4914,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1807,c_650]) ).
tcf(c_4915,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1807,c_623]) ).
tcf(c_4916,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1807,c_647]) ).
tcf(c_4917,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1807,c_645]) ).
tcf(c_5015,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_1978,c_640]) ).
tcf(c_5016,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1978,c_691]) ).
tcf(c_5017,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1978,c_688]) ).
tcf(c_5018,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1978,c_681]) ).
tcf(c_5019,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1978,c_678]) ).
tcf(c_5020,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1978,c_671]) ).
tcf(c_5021,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1978,c_668]) ).
tcf(c_5022,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1978,c_632]) ).
tcf(c_5023,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1978,c_628]) ).
tcf(c_5024,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1978,c_651]) ).
tcf(c_5025,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1978,c_622]) ).
tcf(c_5026,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1978,c_648]) ).
tcf(c_5136,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2051,c_640]) ).
tcf(c_5137,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2051,c_691]) ).
tcf(c_5138,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2051,c_688]) ).
tcf(c_5139,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2051,c_681]) ).
tcf(c_5140,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2051,c_678]) ).
tcf(c_5141,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2051,c_671]) ).
tcf(c_5142,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2051,c_668]) ).
tcf(c_5143,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2051,c_632]) ).
tcf(c_5144,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2051,c_628]) ).
tcf(c_5145,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2051,c_651]) ).
tcf(c_5146,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2051,c_622]) ).
tcf(c_5147,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2051,c_648]) ).
tcf(c_5247,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_2289,c_640]) ).
tcf(c_5248,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2289,c_691]) ).
tcf(c_5249,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2289,c_688]) ).
tcf(c_5250,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2289,c_681]) ).
tcf(c_5251,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2289,c_678]) ).
tcf(c_5252,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2289,c_671]) ).
tcf(c_5253,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2289,c_668]) ).
tcf(c_5254,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2289,c_632]) ).
tcf(c_5255,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2289,c_628]) ).
tcf(c_5256,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2289,c_651]) ).
tcf(c_5257,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2289,c_622]) ).
tcf(c_5258,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2289,c_648]) ).
tcf(c_5304,plain,
multiply(iPr_def_27,iPr_def_28) = sk_c2,
inference(superposition,[status(thm)],[c_636,c_2677]) ).
tcf(c_5305,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2677,c_105]) ).
tcf(c_5316,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1045,c_639]) ).
tcf(c_5318,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1045,c_638]) ).
tcf(c_5363,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1046,c_639]) ).
tcf(c_5365,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1046,c_638]) ).
tcf(c_5381,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_19,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1051,c_639]) ).
tcf(c_5383,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1051,c_638]) ).
tcf(c_5410,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1052,c_639]) ).
tcf(c_5412,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1052,c_638]) ).
tcf(c_5438,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_25,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1063,c_639]) ).
tcf(c_5440,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1063,c_638]) ).
tcf(c_5456,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1088,c_639]) ).
tcf(c_5458,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1088,c_638]) ).
tcf(c_5474,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_12
| ( multiply(iPr_def_19,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1111,c_639]) ).
tcf(c_5476,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1111,c_638]) ).
tcf(c_5492,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1271,c_639]) ).
tcf(c_5494,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1271,c_638]) ).
tcf(c_5543,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_1040]) ).
tcf(c_5545,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_687,c_1040]) ).
tcf(c_5546,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_1040]) ).
tcf(c_5547,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_681,c_1040]) ).
tcf(c_5551,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_651,c_1040]) ).
tcf(c_5553,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1040,c_105]) ).
tcf(c_5599,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_5304,c_105]) ).
tcf(c_5620,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_684,c_2678]) ).
tcf(c_5621,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_682,c_2678]) ).
tcf(c_5622,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_674,c_2678]) ).
tcf(c_5623,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_672,c_2678]) ).
tcf(c_5624,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_664,c_2678]) ).
tcf(c_5625,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_662,c_2678]) ).
tcf(c_5626,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_654,c_2678]) ).
tcf(c_5627,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_652,c_2678]) ).
tcf(c_5628,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_644,c_2678]) ).
tcf(c_5629,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_642,c_2678]) ).
tcf(c_5630,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(sk_c6,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2678,c_105]) ).
tcf(c_5677,plain,
multiply(iPr_def_19,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_624,c_2679]) ).
tcf(c_5678,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2679,c_105]) ).
tcf(c_5694,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5677,c_105]) ).
tcf(c_5696,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_630,c_2680]) ).
tcf(c_5697,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(sk_c5,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2680,c_105]) ).
tcf(c_5730,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_5696,c_105]) ).
tcf(c_5741,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_632,c_2681]) ).
tcf(c_5742,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2681,c_105]) ).
tcf(c_5756,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_5741,c_105]) ).
tcf(c_5780,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_19,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1311,c_639]) ).
tcf(c_5782,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1311,c_638]) ).
tcf(c_5798,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_639]) ).
tcf(c_5800,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1329,c_638]) ).
tcf(c_5816,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1399,c_639]) ).
tcf(c_5818,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1399,c_638]) ).
tcf(c_5841,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1466,c_639]) ).
tcf(c_5843,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1466,c_638]) ).
tcf(c_5866,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1531,c_639]) ).
tcf(c_5868,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1531,c_638]) ).
tcf(c_5899,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(iPr_def_19,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1565,c_639]) ).
tcf(c_5901,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1565,c_638]) ).
tcf(c_5917,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1597,c_639]) ).
tcf(c_5919,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1597,c_638]) ).
tcf(c_5945,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1667,c_639]) ).
tcf(c_5947,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1667,c_638]) ).
tcf(c_5968,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1077,c_105]) ).
tcf(c_5985,plain,
multiply(iPr_def_25,iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_634,c_2682]) ).
tcf(c_5986,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2682,c_105]) ).
tcf(c_5997,plain,
! [X0: $i] : multiply(iPr_def_25,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_5985,c_105]) ).
tcf(c_5999,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1807,c_2683]) ).
tcf(c_6000,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1750,c_2683]) ).
tcf(c_6001,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1749,c_2683]) ).
tcf(c_6002,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1660,c_2683]) ).
tcf(c_6003,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1631,c_2683]) ).
tcf(c_6004,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1562,c_2683]) ).
tcf(c_6005,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1498,c_2683]) ).
tcf(c_6006,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1375,c_2683]) ).
tcf(c_6007,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1309,c_2683]) ).
tcf(c_6008,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1078,c_2683]) ).
tcf(c_6009,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1065,c_2683]) ).
tcf(c_6010,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1064,c_2683]) ).
tcf(c_6011,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1027,c_2683]) ).
tcf(c_6012,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1019,c_2683]) ).
tcf(c_6013,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1007,c_2683]) ).
tcf(c_6014,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_680,c_2683]) ).
tcf(c_6015,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_677,c_2683]) ).
tcf(c_6016,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_675,c_2683]) ).
tcf(c_6017,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_670,c_2683]) ).
tcf(c_6018,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_667,c_2683]) ).
tcf(c_6019,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_665,c_2683]) ).
tcf(c_6020,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_650,c_2683]) ).
tcf(c_6021,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_647,c_2683]) ).
tcf(c_6022,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_645,c_2683]) ).
tcf(c_6023,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(multiply(sk_c11,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_2683,c_105]) ).
tcf(c_6219,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(iPr_def_25,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1756,c_639]) ).
tcf(c_6221,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1756,c_638]) ).
tcf(c_6237,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3788,c_1466]) ).
tcf(c_6238,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3788,c_1399]) ).
tcf(c_6239,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3788,c_1329]) ).
tcf(c_6240,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_3788,c_5304]) ).
tcf(c_6256,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3857,c_1466]) ).
tcf(c_6257,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3857,c_1399]) ).
tcf(c_6258,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3857,c_1329]) ).
tcf(c_6259,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_3857,c_5304]) ).
tcf(c_6275,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3915,c_1466]) ).
tcf(c_6276,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3915,c_1399]) ).
tcf(c_6277,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3915,c_1329]) ).
tcf(c_6278,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_3915,c_5304]) ).
tcf(c_6319,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4066,c_1466]) ).
tcf(c_6320,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4066,c_1399]) ).
tcf(c_6321,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4066,c_1329]) ).
tcf(c_6322,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_4066,c_5304]) ).
tcf(c_6338,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1832,c_639]) ).
tcf(c_6340,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1832,c_638]) ).
tcf(c_6356,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(iPr_def_19,iPr_def_18) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1982,c_639]) ).
tcf(c_6358,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_1982,c_638]) ).
tcf(c_6387,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1135,c_105]) ).
tcf(c_6388,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1135,c_2679]) ).
tcf(c_6389,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c8 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_6388,c_5677]) ).
tcf(c_6418,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1136,c_105]) ).
tcf(c_6419,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1136,c_2679]) ).
tcf(c_6420,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c8 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_6419,c_5677]) ).
tcf(c_6430,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1137,c_105]) ).
tcf(c_6431,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1137,c_2679]) ).
tcf(c_6432,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6431,c_5677]) ).
tcf(c_6442,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1138,c_105]) ).
tcf(c_6443,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1138,c_2679]) ).
tcf(c_6444,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6443,c_5677]) ).
tcf(c_6465,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_1147]) ).
tcf(c_6466,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_1147]) ).
tcf(c_6467,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_1147]) ).
tcf(c_6468,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_659,c_1147]) ).
tcf(c_6469,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_1147]) ).
tcf(c_6470,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1147,c_105]) ).
tcf(c_6519,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_1148]) ).
tcf(c_6520,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_1148]) ).
tcf(c_6521,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_1148]) ).
tcf(c_6522,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_659,c_1148]) ).
tcf(c_6523,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_1148]) ).
tcf(c_6524,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1148,c_105]) ).
tcf(c_6598,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2608,c_639]) ).
tcf(c_6600,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2608,c_638]) ).
tcf(c_6616,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2825,c_639]) ).
tcf(c_6618,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2825,c_638]) ).
tcf(c_6634,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2937,c_639]) ).
tcf(c_6636,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_2937,c_638]) ).
tcf(c_6699,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3052,c_639]) ).
tcf(c_6701,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3052,c_638]) ).
tcf(c_6720,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_4073,c_5677]) ).
tcf(c_6721,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c7,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4073,c_2679]) ).
tcf(c_6724,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c7) = identity ) ),
inference(superposition,[status(thm)],[c_4073,c_1211]) ).
tcf(c_6742,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4190,c_1466]) ).
tcf(c_6743,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4190,c_1399]) ).
tcf(c_6744,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4190,c_1329]) ).
tcf(c_6745,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_4190,c_5304]) ).
tcf(c_6763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_4197,c_5696]) ).
tcf(c_6764,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c5,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4197,c_2680]) ).
tcf(c_6765,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c5) = identity ) ),
inference(superposition,[status(thm)],[c_4197,c_1210]) ).
tcf(c_6778,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_4343,c_5696]) ).
tcf(c_6788,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_1149]) ).
tcf(c_6789,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_660,c_1149]) ).
tcf(c_6790,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_658,c_1149]) ).
tcf(c_6793,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1149,c_105]) ).
tcf(c_6811,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2289,c_1156]) ).
tcf(c_6814,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_1156]) ).
tcf(c_6815,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1156]) ).
tcf(c_6816,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_688,c_1156]) ).
tcf(c_6817,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1156]) ).
tcf(c_6818,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_1156]) ).
tcf(c_6819,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1156]) ).
tcf(c_6820,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1156]) ).
tcf(c_6821,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_1156]) ).
tcf(c_6822,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_668,c_1156]) ).
tcf(c_6823,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_651,c_1156]) ).
tcf(c_6824,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_648,c_1156]) ).
tcf(c_6825,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1156,c_105]) ).
tcf(c_6826,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1156,c_640]) ).
tcf(c_6947,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2289,c_1157]) ).
tcf(c_6950,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_1157]) ).
tcf(c_6951,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1157]) ).
tcf(c_6952,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_688,c_1157]) ).
tcf(c_6953,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1157]) ).
tcf(c_6954,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_1157]) ).
tcf(c_6955,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1157]) ).
tcf(c_6956,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1157]) ).
tcf(c_6957,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_1157]) ).
tcf(c_6958,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_668,c_1157]) ).
tcf(c_6959,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_651,c_1157]) ).
tcf(c_6960,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_648,c_1157]) ).
tcf(c_6961,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1157,c_105]) ).
tcf(c_6962,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1157,c_640]) ).
tcf(c_7075,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1158]) ).
tcf(c_7077,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1158]) ).
tcf(c_7078,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_1158]) ).
tcf(c_7079,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1158]) ).
tcf(c_7080,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1158]) ).
tcf(c_7083,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_651,c_1158]) ).
tcf(c_7084,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_648,c_1158]) ).
tcf(c_7085,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1158,c_105]) ).
tcf(c_7086,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1158,c_640]) ).
tcf(c_7117,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_23 )
| ( X0 != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_1794]) ).
tcf(c_7129,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1159]) ).
tcf(c_7131,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1159]) ).
tcf(c_7132,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_1159]) ).
tcf(c_7133,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1159]) ).
tcf(c_7134,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1159]) ).
tcf(c_7137,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_651,c_1159]) ).
tcf(c_7138,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_648,c_1159]) ).
tcf(c_7139,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1159,c_105]) ).
tcf(c_7140,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_640]) ).
tcf(c_7181,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_3298]) ).
tcf(c_7187,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_26 )
| ( X0 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1794]) ).
tcf(c_7205,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1160,c_105]) ).
tcf(c_7223,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1161,c_105]) ).
tcf(c_7249,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1174,c_105]) ).
tcf(c_7250,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1174,c_2680]) ).
tcf(c_7261,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3170,c_639]) ).
tcf(c_7263,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3170,c_638]) ).
tcf(c_7289,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3251,c_639]) ).
tcf(c_7291,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3251,c_638]) ).
tcf(c_7312,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3796,c_639]) ).
tcf(c_7314,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3796,c_638]) ).
tcf(c_7346,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3866,c_639]) ).
tcf(c_7348,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3866,c_638]) ).
tcf(c_7365,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4474,c_5985]) ).
tcf(c_7366,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4474,c_2682]) ).
tcf(c_7368,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4474,c_1208]) ).
tcf(c_7393,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4648,c_5985]) ).
tcf(c_7394,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4648,c_2682]) ).
tcf(c_7396,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_4648,c_1208]) ).
tcf(c_7416,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4895,c_1466]) ).
tcf(c_7417,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4895,c_1399]) ).
tcf(c_7418,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4895,c_1329]) ).
tcf(c_7419,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_4895,c_5304]) ).
tcf(c_7448,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4899,c_5985]) ).
tcf(c_7496,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1175,c_105]) ).
tcf(c_7497,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1175,c_2680]) ).
tcf(c_7507,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1176,c_105]) ).
tcf(c_7508,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1176,c_2680]) ).
tcf(c_7517,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1177,c_105]) ).
tcf(c_7518,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1177,c_2680]) ).
tcf(c_7540,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1186,c_105]) ).
tcf(c_7541,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1186,c_2681]) ).
tcf(c_7542,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7541,c_5741]) ).
tcf(c_7552,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1187,c_105]) ).
tcf(c_7553,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1187,c_2681]) ).
tcf(c_7554,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7553,c_5741]) ).
tcf(c_7577,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1192,c_105]) ).
tcf(c_7578,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1192,c_2682]) ).
tcf(c_7579,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7578,c_5985]) ).
tcf(c_7590,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1193,c_105]) ).
tcf(c_7591,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1193,c_2682]) ).
tcf(c_7592,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7591,c_5985]) ).
tcf(c_7602,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1194,c_105]) ).
tcf(c_7603,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1194,c_2682]) ).
tcf(c_7604,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7603,c_5985]) ).
tcf(c_7614,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1201,c_105]) ).
tcf(c_7615,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1201,c_2677]) ).
tcf(c_7616,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_7615,c_5304]) ).
tcf(c_7632,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3928,c_639]) ).
tcf(c_7634,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_3928,c_638]) ).
tcf(c_7650,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4084,c_639]) ).
tcf(c_7652,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4084,c_638]) ).
tcf(c_7668,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4209,c_639]) ).
tcf(c_7670,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4209,c_638]) ).
tcf(c_7686,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4356,c_639]) ).
tcf(c_7688,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4356,c_638]) ).
tcf(c_7788,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1202,c_105]) ).
tcf(c_7789,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1202,c_2677]) ).
tcf(c_7790,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_7789,c_5304]) ).
tcf(c_7802,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1214,c_105]) ).
tcf(c_7809,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1215,c_105]) ).
tcf(c_7815,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1216,c_105]) ).
tcf(c_7821,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1227,c_105]) ).
tcf(c_7822,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1227,c_2677]) ).
tcf(c_7823,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_7822,c_5304]) ).
tcf(c_7833,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_1228]) ).
tcf(c_7834,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_1228]) ).
tcf(c_7835,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_1228]) ).
tcf(c_7838,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1228,c_105]) ).
tcf(c_7869,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_661,c_1237]) ).
tcf(c_7870,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_660,c_1237]) ).
tcf(c_7874,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1237,c_105]) ).
tcf(c_7888,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2289,c_1238]) ).
tcf(c_7891,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_691,c_1238]) ).
tcf(c_7892,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_1238]) ).
tcf(c_7893,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_688,c_1238]) ).
tcf(c_7896,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_681,c_1238]) ).
tcf(c_7897,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_678,c_1238]) ).
tcf(c_7898,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_1238]) ).
tcf(c_7899,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_668,c_1238]) ).
tcf(c_7902,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1238,c_105]) ).
tcf(c_7905,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_7899,c_5741]) ).
tcf(c_7912,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7897,c_5741]) ).
tcf(c_7919,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7893,c_5741]) ).
tcf(c_7955,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1247,c_105]) ).
tcf(c_7956,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1247,c_2677]) ).
tcf(c_7957,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_7956,c_5304]) ).
tcf(c_7967,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4488,c_639]) ).
tcf(c_7969,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4488,c_638]) ).
tcf(c_8008,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4663,c_639]) ).
tcf(c_8010,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4663,c_638]) ).
tcf(c_8047,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4915,c_639]) ).
tcf(c_8049,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_4915,c_638]) ).
tcf(c_8065,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_1248]) ).
tcf(c_8066,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_1248]) ).
tcf(c_8067,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_1248]) ).
tcf(c_8070,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1248,c_105]) ).
tcf(c_8279,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1257,c_105]) ).
tcf(c_8280,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1257,c_2677]) ).
tcf(c_8281,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_8280,c_5304]) ).
tcf(c_8291,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_1258]) ).
tcf(c_8292,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_1258]) ).
tcf(c_8293,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_1258]) ).
tcf(c_8296,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1258,c_105]) ).
tcf(c_8324,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1288,c_105]) ).
tcf(c_8325,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1288,c_2680]) ).
tcf(c_8326,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_8325,c_5696]) ).
tcf(c_8342,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1289]) ).
tcf(c_8344,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1289]) ).
tcf(c_8345,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_1289]) ).
tcf(c_8346,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1289]) ).
tcf(c_8347,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1289]) ).
tcf(c_8348,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_1289]) ).
tcf(c_8349,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_668,c_1289]) ).
tcf(c_8352,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1289,c_105]) ).
tcf(c_8353,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1289,c_640]) ).
tcf(c_8419,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1290,c_105]) ).
tcf(c_8420,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1290,c_2679]) ).
tcf(c_8429,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_1326]) ).
tcf(c_8430,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_1326]) ).
tcf(c_8431,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_1326]) ).
tcf(c_8432,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_1326]) ).
tcf(c_8433,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_1326]) ).
tcf(c_8434,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_1326]) ).
tcf(c_8435,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1326,c_105]) ).
tcf(c_8459,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4895,c_1327]) ).
tcf(c_8460,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4190,c_1327]) ).
tcf(c_8461,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4066,c_1327]) ).
tcf(c_8462,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3915,c_1327]) ).
tcf(c_8463,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3857,c_1327]) ).
tcf(c_8464,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3788,c_1327]) ).
tcf(c_8465,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1327,c_105]) ).
tcf(c_8466,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1327,c_2682]) ).
tcf(c_8467,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_8466,c_5985]) ).
tcf(c_8539,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1376,c_105]) ).
tcf(c_8540,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1376,c_2680]) ).
tcf(c_8541,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_8540,c_5696]) ).
tcf(c_8570,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1377]) ).
tcf(c_8572,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1377]) ).
tcf(c_8574,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1377]) ).
tcf(c_8575,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1377]) ).
tcf(c_8576,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_671,c_1377]) ).
tcf(c_8577,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_668,c_1377]) ).
tcf(c_8580,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1377,c_105]) ).
tcf(c_8581,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1377,c_640]) ).
tcf(c_8611,plain,
( ( iPr_def_15 = sk_c10 )
| ( iPr_def_15 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_3215]) ).
tcf(c_8612,plain,
iPr_def_15 = iPr_def_15,
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_8625,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1378,c_105]) ).
tcf(c_8626,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1378,c_2679]) ).
tcf(c_8635,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_1396]) ).
tcf(c_8636,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_1396]) ).
tcf(c_8637,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_1396]) ).
tcf(c_8638,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_1396]) ).
tcf(c_8639,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_1396]) ).
tcf(c_8640,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_1396]) ).
tcf(c_8641,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1396,c_105]) ).
tcf(c_8665,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4895,c_1397]) ).
tcf(c_8666,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4190,c_1397]) ).
tcf(c_8667,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4066,c_1397]) ).
tcf(c_8668,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3915,c_1397]) ).
tcf(c_8669,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3857,c_1397]) ).
tcf(c_8670,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3788,c_1397]) ).
tcf(c_8671,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1397,c_105]) ).
tcf(c_8672,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1397,c_2682]) ).
tcf(c_8673,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_8672,c_5985]) ).
tcf(c_8833,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1427,c_105]) ).
tcf(c_8834,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1427,c_2681]) ).
tcf(c_8835,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_8834,c_5741]) ).
tcf(c_8886,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1428,c_105]) ).
tcf(c_8894,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_689,c_1430]) ).
tcf(c_8895,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_679,c_1430]) ).
tcf(c_8896,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_669,c_1430]) ).
tcf(c_8899,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1430,c_105]) ).
tcf(c_8900,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_8896,c_5741]) ).
tcf(c_8922,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1450,c_105]) ).
tcf(c_8936,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_1451]) ).
tcf(c_8940,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_681,c_1451]) ).
tcf(c_8942,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_1451]) ).
tcf(c_8946,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1451,c_105]) ).
tcf(c_8962,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_1463]) ).
tcf(c_8963,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_1463]) ).
tcf(c_8964,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_1463]) ).
tcf(c_8965,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_1463]) ).
tcf(c_8966,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_1463]) ).
tcf(c_8967,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_1463]) ).
tcf(c_8968,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1463,c_105]) ).
tcf(c_9010,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4895,c_1464]) ).
tcf(c_9011,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4190,c_1464]) ).
tcf(c_9012,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4066,c_1464]) ).
tcf(c_9013,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3915,c_1464]) ).
tcf(c_9014,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3857,c_1464]) ).
tcf(c_9015,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3788,c_1464]) ).
tcf(c_9016,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1464,c_105]) ).
tcf(c_9017,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1464,c_2682]) ).
tcf(c_9018,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_9017,c_5985]) ).
tcf(c_9059,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1499,c_105]) ).
tcf(c_9060,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1499,c_2681]) ).
tcf(c_9061,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_9060,c_5741]) ).
tcf(c_9089,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_8900,c_1451]) ).
tcf(c_9090,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_8900,c_1377]) ).
tcf(c_9091,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_8900,c_1289]) ).
tcf(c_9095,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_8900,c_1159]) ).
tcf(c_9096,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_8900,c_1158]) ).
tcf(c_9099,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_8900,c_1040]) ).
tcf(c_9100,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8900,c_2289]) ).
tcf(c_9101,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8900,c_2051]) ).
tcf(c_9102,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8900,c_1978]) ).
tcf(c_9103,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_8900,c_640]) ).
tcf(c_9104,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8900,c_691]) ).
tcf(c_9106,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8900,c_688]) ).
tcf(c_9111,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8900,c_671]) ).
tcf(c_9112,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_8900,c_668]) ).
tcf(c_9113,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8900,c_632]) ).
tcf(c_9114,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_8900,c_628]) ).
tcf(c_9116,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_8900,c_622]) ).
tcf(c_9255,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_9111,c_2683]) ).
tcf(c_9257,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_1750]) ).
tcf(c_9258,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_1749]) ).
tcf(c_9259,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_1660]) ).
tcf(c_9262,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_9111,c_641]) ).
tcf(c_9264,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_1065]) ).
tcf(c_9265,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_1064]) ).
tcf(c_9266,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_1027]) ).
tcf(c_9269,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9111,c_637]) ).
tcf(c_9270,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9111,c_680]) ).
tcf(c_9271,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9111,c_677]) ).
tcf(c_9272,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9111,c_675]) ).
tcf(c_9273,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_9111,c_1207]) ).
tcf(c_9274,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_634]) ).
tcf(c_9275,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9111,c_650]) ).
tcf(c_9276,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9111,c_623]) ).
tcf(c_9277,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9111,c_647]) ).
tcf(c_9278,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9111,c_645]) ).
tcf(c_9442,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_9112,c_2683]) ).
tcf(c_9444,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9112,c_1750]) ).
tcf(c_9445,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9112,c_1749]) ).
tcf(c_9446,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9112,c_1660]) ).
tcf(c_9449,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_9112,c_641]) ).
tcf(c_9451,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9112,c_1065]) ).
tcf(c_9452,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9112,c_1064]) ).
tcf(c_9453,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9112,c_1027]) ).
tcf(c_9456,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9112,c_637]) ).
tcf(c_9457,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9112,c_680]) ).
tcf(c_9458,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9112,c_677]) ).
tcf(c_9459,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9112,c_675]) ).
tcf(c_9460,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_9112,c_1207]) ).
tcf(c_9461,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9112,c_634]) ).
tcf(c_9462,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9112,c_650]) ).
tcf(c_9463,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9112,c_623]) ).
tcf(c_9464,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9112,c_647]) ).
tcf(c_9465,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9112,c_645]) ).
tcf(c_9549,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4895,c_9276]) ).
tcf(c_9550,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4190,c_9276]) ).
tcf(c_9551,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4066,c_9276]) ).
tcf(c_9552,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3915,c_9276]) ).
tcf(c_9553,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3857,c_9276]) ).
tcf(c_9554,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3788,c_9276]) ).
tcf(c_9555,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_9276,c_639]) ).
tcf(c_9557,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_9276,c_638]) ).
tcf(c_9714,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1500,c_105]) ).
tcf(c_9753,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1501,c_105]) ).
tcf(c_9761,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1543,c_105]) ).
tcf(c_9762,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1543,c_2680]) ).
tcf(c_9763,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_9762,c_5696]) ).
tcf(c_9773,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_8900,c_1544]) ).
tcf(c_9780,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1544]) ).
tcf(c_9782,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1544]) ).
tcf(c_9783,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_1544]) ).
tcf(c_9784,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1544]) ).
tcf(c_9785,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1544]) ).
tcf(c_9790,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1544,c_105]) ).
tcf(c_9791,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1544,c_640]) ).
tcf(c_9831,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1545,c_105]) ).
tcf(c_9832,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1545,c_2679]) ).
tcf(c_9841,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1594,c_105]) ).
tcf(c_9847,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1595,c_105]) ).
tcf(c_9848,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1595,c_2682]) ).
tcf(c_9849,plain,
( ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_9848,c_5985]) ).
tcf(c_9860,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1633,c_105]) ).
tcf(c_9861,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1633,c_2680]) ).
tcf(c_9862,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_9861,c_5696]) ).
tcf(c_9872,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4895,c_9463]) ).
tcf(c_9873,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4190,c_9463]) ).
tcf(c_9874,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4066,c_9463]) ).
tcf(c_9875,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3915,c_9463]) ).
tcf(c_9876,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3857,c_9463]) ).
tcf(c_9877,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3788,c_9463]) ).
tcf(c_9878,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_9463,c_639]) ).
tcf(c_9880,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_9463,c_638]) ).
tcf(c_9915,plain,
( ( sk_c9 = iPr_def_24 )
| ( iPr_def_24 != sk_c9 )
| ( sk_c9 != sk_c9 ) ),
inference(instantiation,[status(thm)],[c_3477]) ).
tcf(c_9964,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_8900,c_1634]) ).
tcf(c_9971,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1634]) ).
tcf(c_9973,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1634]) ).
tcf(c_9975,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_681,c_1634]) ).
tcf(c_9976,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_678,c_1634]) ).
tcf(c_9981,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1634,c_105]) ).
tcf(c_9982,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1634,c_640]) ).
tcf(c_10008,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1635,c_105]) ).
tcf(c_10009,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1635,c_2679]) ).
tcf(c_10019,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1664,c_105]) ).
tcf(c_10200,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1665,c_105]) ).
tcf(c_10201,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1665,c_2682]) ).
tcf(c_10202,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_10201,c_5985]) ).
tcf(c_10212,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1708,c_105]) ).
tcf(c_10213,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1708,c_2681]) ).
tcf(c_10214,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_10213,c_5741]) ).
tcf(c_10240,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1709,c_105]) ).
tcf(c_10248,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_689,c_1711]) ).
tcf(c_10249,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_679,c_1711]) ).
tcf(c_10253,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1711,c_105]) ).
tcf(c_10254,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_10249,c_5741]) ).
tcf(c_10277,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1722,c_105]) ).
tcf(c_10286,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_8900,c_1723]) ).
tcf(c_10293,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_1723]) ).
tcf(c_10297,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_681,c_1723]) ).
tcf(c_10303,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1723,c_105]) ).
tcf(c_10364,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1754,c_105]) ).
tcf(c_10372,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1755,c_105]) ).
tcf(c_10373,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1755,c_2682]) ).
tcf(c_10374,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_10373,c_5985]) ).
tcf(c_10401,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_1723]) ).
tcf(c_10403,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_10254,c_1634]) ).
tcf(c_10404,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_10254,c_1544]) ).
tcf(c_10416,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_2289]) ).
tcf(c_10417,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_2051]) ).
tcf(c_10418,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_1978]) ).
tcf(c_10419,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_10254,c_640]) ).
tcf(c_10420,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_691]) ).
tcf(c_10422,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_688]) ).
tcf(c_10425,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_681]) ).
tcf(c_10426,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_678]) ).
tcf(c_10429,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10254,c_632]) ).
tcf(c_10430,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_10254,c_628]) ).
tcf(c_10431,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_651]) ).
tcf(c_10432,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_622]) ).
tcf(c_10433,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10254,c_648]) ).
tcf(c_10510,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10425,c_9111]) ).
tcf(c_10514,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10425,c_2683]) ).
tcf(c_10518,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_10425,c_641]) ).
tcf(c_10519,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_1078]) ).
tcf(c_10520,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_1065]) ).
tcf(c_10521,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_1064]) ).
tcf(c_10522,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_1027]) ).
tcf(c_10523,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_1019]) ).
tcf(c_10524,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_1007]) ).
tcf(c_10525,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10425,c_637]) ).
tcf(c_10526,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10425,c_680]) ).
tcf(c_10527,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10425,c_677]) ).
tcf(c_10528,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10425,c_675]) ).
tcf(c_10532,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10425,c_1207]) ).
tcf(c_10533,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10425,c_634]) ).
tcf(c_10534,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_650]) ).
tcf(c_10535,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10425,c_623]) ).
tcf(c_10536,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_647]) ).
tcf(c_10537,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10425,c_645]) ).
tcf(c_10662,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_10426,c_9112]) ).
tcf(c_10667,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10426,c_2683]) ).
tcf(c_10671,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_10426,c_641]) ).
tcf(c_10672,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_1078]) ).
tcf(c_10673,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_1065]) ).
tcf(c_10674,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_1064]) ).
tcf(c_10675,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_1027]) ).
tcf(c_10676,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_1019]) ).
tcf(c_10677,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_1007]) ).
tcf(c_10678,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10426,c_637]) ).
tcf(c_10680,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10426,c_677]) ).
tcf(c_10681,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10426,c_675]) ).
tcf(c_10685,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10426,c_1207]) ).
tcf(c_10686,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10426,c_634]) ).
tcf(c_10687,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_650]) ).
tcf(c_10688,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10426,c_623]) ).
tcf(c_10689,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_647]) ).
tcf(c_10690,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_10426,c_645]) ).
tcf(c_10793,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_10535,c_639]) ).
tcf(c_10795,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_10535,c_638]) ).
tcf(c_10990,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1809,c_105]) ).
tcf(c_10991,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1809,c_2681]) ).
tcf(c_10992,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_10991,c_5741]) ).
tcf(c_11059,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1810,c_105]) ).
tcf(c_11073,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1811,c_105]) ).
tcf(c_11081,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1864,c_105]) ).
tcf(c_11082,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1864,c_2680]) ).
tcf(c_11083,plain,
( ( sk_c8 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_11082,c_5696]) ).
tcf(c_11116,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_1865]) ).
tcf(c_11117,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_1865]) ).
tcf(c_11118,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_688,c_1865]) ).
tcf(c_11119,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_1865]) ).
tcf(c_11120,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_1865]) ).
tcf(c_11127,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1865,c_105]) ).
tcf(c_11128,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_18) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_1865,c_640]) ).
tcf(c_11153,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1866,c_105]) ).
tcf(c_11154,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1866,c_2679]) ).
tcf(c_11163,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1904,c_105]) ).
tcf(c_11170,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1905,c_105]) ).
tcf(c_11176,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_10688,c_639]) ).
tcf(c_11178,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_10688,c_638]) ).
tcf(c_11194,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1906,c_105]) ).
tcf(c_11227,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1907,c_105]) ).
tcf(c_11233,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1908,c_105]) ).
tcf(c_11443,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10510,c_1464]) ).
tcf(c_11444,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_1463]) ).
tcf(c_11445,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10510,c_1397]) ).
tcf(c_11446,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_1396]) ).
tcf(c_11447,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10510,c_1327]) ).
tcf(c_11448,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_1326]) ).
tcf(c_11455,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10510,c_1466]) ).
tcf(c_11456,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10510,c_1399]) ).
tcf(c_11457,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10510,c_1329]) ).
tcf(c_11458,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_10510,c_5304]) ).
tcf(c_11493,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1909,c_105]) ).
tcf(c_11499,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1910,c_105]) ).
tcf(c_11506,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1911,c_105]) ).
tcf(c_11512,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1912,c_105]) ).
tcf(c_11519,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_1977,c_105]) ).
tcf(c_11525,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2004,c_105]) ).
tcf(c_11526,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2004,c_2681]) ).
tcf(c_11527,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_11526,c_5741]) ).
tcf(c_11555,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2005,c_105]) ).
tcf(c_11568,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2007,c_105]) ).
tcf(c_11577,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2054,c_105]) ).
tcf(c_11578,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2054,c_2680]) ).
tcf(c_11579,plain,
( ( sk_c8 = iPr_def_21 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_11578,c_5696]) ).
tcf(c_11600,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_691,c_2055]) ).
tcf(c_11601,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_690,c_2055]) ).
tcf(c_11602,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_688,c_2055]) ).
tcf(c_11603,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_687,c_2055]) ).
tcf(c_11611,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2055,c_105]) ).
tcf(c_11612,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_20 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2055,c_640]) ).
tcf(c_11654,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2056,c_105]) ).
tcf(c_11655,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2056,c_2679]) ).
tcf(c_11664,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2081,c_105]) ).
tcf(c_11665,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2081,c_2681]) ).
tcf(c_11666,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_11665,c_5741]) ).
tcf(c_11681,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10662,c_1464]) ).
tcf(c_11682,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_1463]) ).
tcf(c_11683,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10662,c_1397]) ).
tcf(c_11684,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_1396]) ).
tcf(c_11685,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10662,c_1327]) ).
tcf(c_11686,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_1326]) ).
tcf(c_11693,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10662,c_1466]) ).
tcf(c_11694,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10662,c_1399]) ).
tcf(c_11695,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10662,c_1329]) ).
tcf(c_11696,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_10662,c_5304]) ).
tcf(c_11951,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2082,c_105]) ).
tcf(c_11964,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2084,c_105]) ).
tcf(c_11972,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2150,c_105]) ).
tcf(c_11973,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2150,c_2681]) ).
tcf(c_11974,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_11973,c_5741]) ).
tcf(c_11992,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = sk_c10 )
| ( sk_c10 != iPr_def_14 )
| ( multiply(X0,X1) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_2991]) ).
tcf(c_11993,plain,
( ( multiply(sk_c11,sk_c11) = sk_c10 )
| ( sk_c10 != iPr_def_14 )
| ( multiply(sk_c11,sk_c11) != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_11992]) ).
tcf(c_12017,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2151,c_105]) ).
tcf(c_12025,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_689,c_2153]) ).
tcf(c_12030,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2153,c_105]) ).
tcf(c_12031,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_12025,c_5741]) ).
tcf(c_12053,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2191,c_105]) ).
tcf(c_12073,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_691,c_2192]) ).
tcf(c_12074,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_690,c_2192]) ).
tcf(c_12084,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2192,c_105]) ).
tcf(c_12097,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2216,c_105]) ).
tcf(c_12098,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2216,c_2681]) ).
tcf(c_12099,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_12098,c_5741]) ).
tcf(c_12111,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1280]) ).
tcf(c_12156,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_1238]) ).
tcf(c_12157,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12031,c_1159]) ).
tcf(c_12158,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12031,c_1158]) ).
tcf(c_12159,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12031,c_1157]) ).
tcf(c_12160,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12031,c_1156]) ).
tcf(c_12161,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_1040]) ).
tcf(c_12162,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_12031,c_640]) ).
tcf(c_12169,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12031,c_632]) ).
tcf(c_12170,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12031,c_628]) ).
tcf(c_12171,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12031,c_651]) ).
tcf(c_12172,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_622]) ).
tcf(c_12173,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12031,c_648]) ).
tcf(c_12232,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2217,c_105]) ).
tcf(c_12245,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2219,c_105]) ).
tcf(c_12254,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2294,c_105]) ).
tcf(c_12255,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2294,c_2681]) ).
tcf(c_12256,plain,
( ( sk_c10 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_12255,c_5741]) ).
tcf(c_12518,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2295,c_105]) ).
tcf(c_12532,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2296,c_105]) ).
tcf(c_12536,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_4295,c_5741]) ).
tcf(c_12589,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12536,c_1159]) ).
tcf(c_12590,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12536,c_1158]) ).
tcf(c_12593,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12536,c_1040]) ).
tcf(c_12594,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12536,c_2289]) ).
tcf(c_12595,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12536,c_2051]) ).
tcf(c_12596,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12536,c_1978]) ).
tcf(c_12597,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_12536,c_640]) ).
tcf(c_12598,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12536,c_691]) ).
tcf(c_12600,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12536,c_688]) ).
tcf(c_12607,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12536,c_632]) ).
tcf(c_12608,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12536,c_628]) ).
tcf(c_12609,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12536,c_651]) ).
tcf(c_12610,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12536,c_622]) ).
tcf(c_12611,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12536,c_648]) ).
tcf(c_12690,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12609,c_10426]) ).
tcf(c_12691,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12609,c_10425]) ).
tcf(c_12696,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12609,c_9111]) ).
tcf(c_12700,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12609,c_2683]) ).
tcf(c_12710,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_12609,c_641]) ).
tcf(c_12711,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12609,c_637]) ).
tcf(c_12718,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12609,c_1207]) ).
tcf(c_12719,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12609,c_634]) ).
tcf(c_12721,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12609,c_623]) ).
tcf(c_12809,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12611,c_10426]) ).
tcf(c_12814,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_12611,c_9112]) ).
tcf(c_12819,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12611,c_2683]) ).
tcf(c_12829,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_12611,c_641]) ).
tcf(c_12830,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12611,c_637]) ).
tcf(c_12837,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12611,c_1207]) ).
tcf(c_12838,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12611,c_634]) ).
tcf(c_12840,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12611,c_623]) ).
tcf(c_12872,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4899,c_5551]) ).
tcf(c_12873,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5551,c_105]) ).
tcf(c_12884,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_7083,c_105]) ).
tcf(c_12893,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_7084,c_105]) ).
tcf(c_12901,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_12721,c_639]) ).
tcf(c_12903,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_12721,c_638]) ).
tcf(c_12919,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_12840,c_639]) ).
tcf(c_12921,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_12840,c_638]) ).
tcf(c_12937,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2606,c_105]) ).
tcf(c_12938,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2606,c_2682]) ).
tcf(c_12943,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_12611,c_2657]) ).
tcf(c_12944,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_12609,c_2657]) ).
tcf(c_12948,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_10426,c_2657]) ).
tcf(c_12949,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_10425,c_2657]) ).
tcf(c_12953,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_9112,c_2657]) ).
tcf(c_12954,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_9111,c_2657]) ).
tcf(c_12958,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1807,c_2657]) ).
tcf(c_12959,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1750,c_2657]) ).
tcf(c_12960,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1749,c_2657]) ).
tcf(c_12961,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1660,c_2657]) ).
tcf(c_12962,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1631,c_2657]) ).
tcf(c_12963,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1562,c_2657]) ).
tcf(c_12964,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1498,c_2657]) ).
tcf(c_12965,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1375,c_2657]) ).
tcf(c_12966,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1309,c_2657]) ).
tcf(c_12967,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1078,c_2657]) ).
tcf(c_12968,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1065,c_2657]) ).
tcf(c_12969,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1064,c_2657]) ).
tcf(c_12970,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1027,c_2657]) ).
tcf(c_12971,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_1019,c_2657]) ).
tcf(c_12982,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1),
inference(superposition,[status(thm)],[c_2657,c_105]) ).
tcf(c_13221,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12691,c_2296]) ).
tcf(c_13222,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12691,c_2295]) ).
tcf(c_13223,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12691,c_2294]) ).
tcf(c_13233,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_12691,c_5985]) ).
tcf(c_13259,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12696,c_1464]) ).
tcf(c_13260,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_1463]) ).
tcf(c_13261,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12696,c_1397]) ).
tcf(c_13262,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_1396]) ).
tcf(c_13263,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12696,c_1327]) ).
tcf(c_13264,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_1326]) ).
tcf(c_13271,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12696,c_1466]) ).
tcf(c_13272,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12696,c_1399]) ).
tcf(c_13273,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12696,c_1329]) ).
tcf(c_13274,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_12696,c_5304]) ).
tcf(c_13395,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_12809,c_5741]) ).
tcf(c_13396,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12809,c_2681]) ).
tcf(c_13398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_12809,c_1209]) ).
tcf(c_13496,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_7137,c_105]) ).
tcf(c_13505,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_7138,c_105]) ).
tcf(c_13515,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8348,c_105]) ).
tcf(c_13524,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8349,c_105]) ).
tcf(c_13553,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8576,c_105]) ).
tcf(c_13563,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8577,c_105]) ).
tcf(c_13572,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4899,c_8942]) ).
tcf(c_13573,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_8942,c_105]) ).
tcf(c_13584,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_9784,c_105]) ).
tcf(c_13590,plain,
multiply(sk_c4,iPr_def_14) = multiply(iPr_def_24,sk_c9),
inference(superposition,[status(thm)],[c_622,c_2658]) ).
tcf(c_13591,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_24,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_2192,c_2658]) ).
tcf(c_13592,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_24,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1723,c_2658]) ).
tcf(c_13593,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_24,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1451,c_2658]) ).
tcf(c_13594,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_24,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1238,c_2658]) ).
tcf(c_13595,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_24,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1040,c_2658]) ).
tcf(c_13597,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_12536,c_2658]) ).
tcf(c_13601,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_12031,c_2658]) ).
tcf(c_13606,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_10254,c_2658]) ).
tcf(c_13608,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_8900,c_2658]) ).
tcf(c_13611,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2289,c_2658]) ).
tcf(c_13612,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_2051,c_2658]) ).
tcf(c_13613,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_1978,c_2658]) ).
tcf(c_13625,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_2658,c_105]) ).
tcf(c_13754,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c9),X0) = multiply(sk_c4,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_13590,c_105]) ).
tcf(c_13755,plain,
multiply(iPr_def_23,multiply(iPr_def_24,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_13590,c_2681]) ).
tcf(c_13757,plain,
multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,sk_c10),
inference(superposition,[status(thm)],[c_628,c_2659]) ).
tcf(c_13758,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2295,c_2659]) ).
tcf(c_13759,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1810,c_2659]) ).
tcf(c_13760,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1500,c_2659]) ).
tcf(c_13761,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1160,c_2659]) ).
tcf(c_13762,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2151,c_2659]) ).
tcf(c_13763,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1709,c_2659]) ).
tcf(c_13764,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1428,c_2659]) ).
tcf(c_13765,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1161,c_2659]) ).
tcf(c_13766,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2217,c_2659]) ).
tcf(c_13767,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2082,c_2659]) ).
tcf(c_13768,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2005,c_2659]) ).
tcf(c_13789,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1),
inference(superposition,[status(thm)],[c_2659,c_105]) ).
tcf(c_13928,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c10),X0) = multiply(sk_c5,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_13757,c_105]) ).
tcf(c_13929,plain,
multiply(iPr_def_21,multiply(iPr_def_22,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_13757,c_2680]) ).
tcf(c_13944,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12814,c_1464]) ).
tcf(c_13945,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_1463]) ).
tcf(c_13946,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12814,c_1397]) ).
tcf(c_13947,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_1396]) ).
tcf(c_13948,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12814,c_1327]) ).
tcf(c_13949,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_1326]) ).
tcf(c_13956,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12814,c_1466]) ).
tcf(c_13957,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12814,c_1399]) ).
tcf(c_13958,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12814,c_1329]) ).
tcf(c_13959,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_12814,c_5304]) ).
tcf(c_13993,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2605,c_105]) ).
tcf(c_14000,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_9785,c_105]) ).
tcf(c_14011,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_9975,c_105]) ).
tcf(c_14021,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_9976,c_105]) ).
tcf(c_14030,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4899,c_10297]) ).
tcf(c_14031,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_10297,c_105]) ).
tcf(c_14040,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12691,c_11116]) ).
tcf(c_14042,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_11116,c_105]) ).
tcf(c_14054,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_11118,c_105]) ).
tcf(c_14063,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12691,c_11600]) ).
tcf(c_14065,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_11600,c_105]) ).
tcf(c_14078,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_11602,c_105]) ).
tcf(c_14102,plain,
multiply(sk_c8,iPr_def_14) = multiply(iPr_def_20,sk_c9),
inference(superposition,[status(thm)],[c_622,c_2660]) ).
tcf(c_14103,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_2192,c_2660]) ).
tcf(c_14104,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1723,c_2660]) ).
tcf(c_14105,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1451,c_2660]) ).
tcf(c_14106,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1238,c_2660]) ).
tcf(c_14107,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1040,c_2660]) ).
tcf(c_14109,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_12536,c_2660]) ).
tcf(c_14113,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_12031,c_2660]) ).
tcf(c_14118,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_10254,c_2660]) ).
tcf(c_14120,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_8900,c_2660]) ).
tcf(c_14123,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2289,c_2660]) ).
tcf(c_14124,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2051,c_2660]) ).
tcf(c_14125,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_1978,c_2660]) ).
tcf(c_14137,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_20,X0),X1),
inference(superposition,[status(thm)],[c_2660,c_105]) ).
tcf(c_14138,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_2660,c_2659]) ).
tcf(c_14210,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_686,c_14102]) ).
tcf(c_14211,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,sk_c9) ) ),
inference(superposition,[status(thm)],[c_683,c_14102]) ).
tcf(c_14212,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_676,c_14102]) ).
tcf(c_14213,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,sk_c9) ) ),
inference(superposition,[status(thm)],[c_673,c_14102]) ).
tcf(c_14214,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_666,c_14102]) ).
tcf(c_14215,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,sk_c9) ) ),
inference(superposition,[status(thm)],[c_663,c_14102]) ).
tcf(c_14216,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_656,c_14102]) ).
tcf(c_14217,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,sk_c9) ) ),
inference(superposition,[status(thm)],[c_653,c_14102]) ).
tcf(c_14218,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_646,c_14102]) ).
tcf(c_14219,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,sk_c9) ) ),
inference(superposition,[status(thm)],[c_643,c_14102]) ).
tcf(c_14220,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(sk_c8,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_14102,c_105]) ).
tcf(c_14221,plain,
multiply(sk_c5,multiply(iPr_def_20,sk_c9)) = multiply(iPr_def_22,iPr_def_14),
inference(superposition,[status(thm)],[c_14102,c_2659]) ).
tcf(c_14243,plain,
multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,sk_c10),
inference(superposition,[status(thm)],[c_628,c_2661]) ).
tcf(c_14244,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_2295,c_2661]) ).
tcf(c_14245,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1810,c_2661]) ).
tcf(c_14246,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1500,c_2661]) ).
tcf(c_14247,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_1160,c_2661]) ).
tcf(c_14248,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_2151,c_2661]) ).
tcf(c_14249,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1709,c_2661]) ).
tcf(c_14250,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1428,c_2661]) ).
tcf(c_14251,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_1161,c_2661]) ).
tcf(c_14252,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2217,c_2661]) ).
tcf(c_14253,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2082,c_2661]) ).
tcf(c_14254,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_2005,c_2661]) ).
tcf(c_14255,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_2660,c_2661]) ).
tcf(c_14256,plain,
multiply(sk_c7,multiply(iPr_def_20,sk_c9)) = multiply(iPr_def_16,iPr_def_14),
inference(superposition,[status(thm)],[c_14102,c_2661]) ).
tcf(c_14277,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1),
inference(superposition,[status(thm)],[c_2661,c_105]) ).
tcf(c_14384,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c10),X0) = multiply(sk_c7,multiply(iPr_def_20,X0)),
inference(superposition,[status(thm)],[c_14243,c_105]) ).
tcf(c_14385,plain,
multiply(iPr_def_19,multiply(iPr_def_16,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_14243,c_2679]) ).
tcf(c_14386,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c10),X0) = multiply(iPr_def_16,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_14384,c_14255]) ).
tcf(c_14388,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_12536,c_2662]) ).
tcf(c_14392,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_12031,c_2662]) ).
tcf(c_14397,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_10254,c_2662]) ).
tcf(c_14399,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_8900,c_2662]) ).
tcf(c_14402,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2289,c_2662]) ).
tcf(c_14403,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_2051,c_2662]) ).
tcf(c_14404,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_1978,c_2662]) ).
tcf(c_14421,plain,
! [X0: $i,X1: $i] : multiply(sk_c10,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1),
inference(superposition,[status(thm)],[c_2662,c_105]) ).
tcf(c_14422,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_20,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_2662,c_2660]) ).
tcf(c_14423,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_24,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_2662,c_2658]) ).
tcf(c_14472,plain,
multiply(sk_c1,iPr_def_17) = multiply(iPr_def_28,sk_c9),
inference(superposition,[status(thm)],[c_625,c_2663]) ).
tcf(c_14473,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_28,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_2191,c_2663]) ).
tcf(c_14474,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_28,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1722,c_2663]) ).
tcf(c_14475,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_28,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1450,c_2663]) ).
tcf(c_14476,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_28,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1237,c_2663]) ).
tcf(c_14477,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_28,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_1149,c_2663]) ).
tcf(c_14483,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1127,c_2663]) ).
tcf(c_14484,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_1110,c_2663]) ).
tcf(c_14490,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(sk_c2,X0),X1)) = multiply(multiply(iPr_def_28,X0),X1),
inference(superposition,[status(thm)],[c_2663,c_105]) ).
tcf(c_14509,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c9),X0) = multiply(sk_c1,multiply(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_14472,c_105]) ).
tcf(c_14510,plain,
multiply(iPr_def_27,multiply(iPr_def_28,sk_c9)) = iPr_def_17,
inference(superposition,[status(thm)],[c_14472,c_2677]) ).
tcf(c_14516,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12691,c_12073]) ).
tcf(c_14517,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4899,c_12073]) ).
tcf(c_14518,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_12073,c_105]) ).
tcf(c_14531,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1127,c_2664]) ).
tcf(c_14532,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1110,c_2664]) ).
tcf(c_14543,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_17,X0),X1),
inference(superposition,[status(thm)],[c_2664,c_105]) ).
tcf(c_14544,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_2664,c_2663]) ).
tcf(c_14616,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2823,c_2682]) ).
tcf(c_14623,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2935,c_2682]) ).
tcf(c_14630,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3050,c_2682]) ).
tcf(c_14636,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2822,c_105]) ).
tcf(c_14642,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_2934,c_105]) ).
tcf(c_14648,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3049,c_105]) ).
tcf(c_14667,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3168,c_2682]) ).
tcf(c_14674,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3249,c_2682]) ).
tcf(c_14681,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3326,c_2677]) ).
tcf(c_14697,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3167,c_105]) ).
tcf(c_14703,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3248,c_105]) ).
tcf(c_14710,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3354,c_2677]) ).
tcf(c_14737,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3794,c_2682]) ).
tcf(c_14754,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3864,c_2682]) ).
tcf(c_14771,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3926,c_2682]) ).
tcf(c_14778,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4082,c_2682]) ).
tcf(c_14794,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3793,c_105]) ).
tcf(c_14810,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3863,c_105]) ).
tcf(c_14826,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_3925,c_105]) ).
tcf(c_14832,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4081,c_105]) ).
tcf(c_14845,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4207,c_2682]) ).
tcf(c_14852,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4354,c_2682]) ).
tcf(c_14859,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4486,c_2682]) ).
tcf(c_14866,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4661,c_2682]) ).
tcf(c_14872,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4206,c_105]) ).
tcf(c_14878,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4353,c_105]) ).
tcf(c_14884,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4485,c_105]) ).
tcf(c_14890,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4660,c_105]) ).
tcf(c_14897,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4913,c_2682]) ).
tcf(c_14904,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5022,c_2681]) ).
tcf(c_14931,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5023,c_2661]) ).
tcf(c_14932,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5023,c_2659]) ).
tcf(c_14933,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_14932,c_13757]) ).
tcf(c_14936,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_14931,c_14243]) ).
tcf(c_14953,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_4912,c_105]) ).
tcf(c_14960,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5143,c_2681]) ).
tcf(c_14987,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5144,c_2661]) ).
tcf(c_14988,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5144,c_2659]) ).
tcf(c_14989,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_14988,c_13757]) ).
tcf(c_14992,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_14987,c_14243]) ).
tcf(c_15021,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2666,c_103]) ).
tcf(c_15069,plain,
multiply(inverse(sk_c3),iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_634,c_15021]) ).
tcf(c_15070,plain,
multiply(inverse(sk_c4),iPr_def_24) = sk_c10,
inference(superposition,[status(thm)],[c_632,c_15021]) ).
tcf(c_15071,plain,
multiply(inverse(sk_c5),iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_630,c_15021]) ).
tcf(c_15072,plain,
multiply(inverse(sk_c8),iPr_def_20) = sk_c10,
inference(superposition,[status(thm)],[c_628,c_15021]) ).
tcf(c_15073,plain,
multiply(inverse(sk_c7),iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_624,c_15021]) ).
tcf(c_15074,plain,
multiply(inverse(sk_c10),iPr_def_14) = sk_c9,
inference(superposition,[status(thm)],[c_622,c_15021]) ).
tcf(c_15075,plain,
multiply(inverse(sk_c1),iPr_def_28) = sk_c2,
inference(superposition,[status(thm)],[c_636,c_15021]) ).
tcf(c_15076,plain,
multiply(inverse(sk_c2),iPr_def_17) = sk_c9,
inference(superposition,[status(thm)],[c_625,c_15021]) ).
tcf(c_15077,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_15021]) ).
tcf(c_15078,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_15021]) ).
tcf(c_15079,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_105,c_15021]) ).
tcf(c_15080,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2153,c_15021]) ).
tcf(c_15081,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_23),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1711,c_15021]) ).
tcf(c_15082,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_23),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1430,c_15021]) ).
tcf(c_15083,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1039,c_15021]) ).
tcf(c_15084,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c10),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2192,c_15021]) ).
tcf(c_15085,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c10),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1723,c_15021]) ).
tcf(c_15086,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c10),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1451,c_15021]) ).
tcf(c_15087,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c10),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1238,c_15021]) ).
tcf(c_15088,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1040,c_15021]) ).
tcf(c_15089,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2296,c_15021]) ).
tcf(c_15090,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1811,c_15021]) ).
tcf(c_15091,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1501,c_15021]) ).
tcf(c_15092,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1077,c_15021]) ).
tcf(c_15093,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2056,c_15021]) ).
tcf(c_15094,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1635,c_15021]) ).
tcf(c_15095,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1378,c_15021]) ).
tcf(c_15096,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1137,c_15021]) ).
tcf(c_15097,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1135,c_15021]) ).
tcf(c_15098,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1866,c_15021]) ).
tcf(c_15099,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1545,c_15021]) ).
tcf(c_15100,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1290,c_15021]) ).
tcf(c_15101,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1138,c_15021]) ).
tcf(c_15102,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1136,c_15021]) ).
tcf(c_15103,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3355,c_15021]) ).
tcf(c_15104,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3327,c_15021]) ).
tcf(c_15105,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1258,c_15021]) ).
tcf(c_15106,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1248,c_15021]) ).
tcf(c_15107,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1228,c_15021]) ).
tcf(c_15108,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1148,c_15021]) ).
tcf(c_15109,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1147,c_15021]) ).
tcf(c_15110,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2191,c_15021]) ).
tcf(c_15111,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1722,c_15021]) ).
tcf(c_15112,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1450,c_15021]) ).
tcf(c_15113,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1237,c_15021]) ).
tcf(c_15114,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1149,c_15021]) ).
tcf(c_15115,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_2055,c_15021]) ).
tcf(c_15116,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1634,c_15021]) ).
tcf(c_15117,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1377,c_15021]) ).
tcf(c_15118,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1158,c_15021]) ).
tcf(c_15119,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1156,c_15021]) ).
tcf(c_15120,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1865,c_15021]) ).
tcf(c_15121,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1544,c_15021]) ).
tcf(c_15122,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1289,c_15021]) ).
tcf(c_15123,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_15021]) ).
tcf(c_15124,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1157,c_15021]) ).
tcf(c_15125,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2295,c_15021]) ).
tcf(c_15126,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1810,c_15021]) ).
tcf(c_15127,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1500,c_15021]) ).
tcf(c_15128,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1160,c_15021]) ).
tcf(c_15129,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2151,c_15021]) ).
tcf(c_15130,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1709,c_15021]) ).
tcf(c_15131,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1428,c_15021]) ).
tcf(c_15132,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1161,c_15021]) ).
tcf(c_15133,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2054,c_15021]) ).
tcf(c_15134,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1633,c_15021]) ).
tcf(c_15135,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1376,c_15021]) ).
tcf(c_15136,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1176,c_15021]) ).
tcf(c_15137,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1174,c_15021]) ).
tcf(c_15138,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1864,c_15021]) ).
tcf(c_15139,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1543,c_15021]) ).
tcf(c_15140,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1288,c_15021]) ).
tcf(c_15141,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1177,c_15021]) ).
tcf(c_15142,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1175,c_15021]) ).
tcf(c_15143,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2294,c_15021]) ).
tcf(c_15144,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1809,c_15021]) ).
tcf(c_15145,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1499,c_15021]) ).
tcf(c_15146,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1186,c_15021]) ).
tcf(c_15147,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2150,c_15021]) ).
tcf(c_15148,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1708,c_15021]) ).
tcf(c_15149,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1427,c_15021]) ).
tcf(c_15150,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1187,c_15021]) ).
tcf(c_15151,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1755,c_15021]) ).
tcf(c_15152,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1192,c_15021]) ).
tcf(c_15153,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1665,c_15021]) ).
tcf(c_15154,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1193,c_15021]) ).
tcf(c_15155,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1595,c_15021]) ).
tcf(c_15156,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1194,c_15021]) ).
tcf(c_15157,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3354,c_15021]) ).
tcf(c_15158,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3326,c_15021]) ).
tcf(c_15159,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1257,c_15021]) ).
tcf(c_15160,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1247,c_15021]) ).
tcf(c_15161,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1227,c_15021]) ).
tcf(c_15162,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1202,c_15021]) ).
tcf(c_15163,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1201,c_15021]) ).
tcf(c_15164,plain,
multiply(inverse(iPr_def_15),identity) = sk_c11,
inference(superposition,[status(thm)],[c_1207,c_15021]) ).
tcf(c_15165,plain,
multiply(inverse(iPr_def_25),identity) = sk_c3,
inference(superposition,[status(thm)],[c_1208,c_15021]) ).
tcf(c_15166,plain,
multiply(inverse(iPr_def_23),identity) = sk_c4,
inference(superposition,[status(thm)],[c_1209,c_15021]) ).
tcf(c_15167,plain,
multiply(inverse(iPr_def_21),identity) = sk_c5,
inference(superposition,[status(thm)],[c_1210,c_15021]) ).
tcf(c_15168,plain,
multiply(inverse(iPr_def_19),identity) = sk_c7,
inference(superposition,[status(thm)],[c_1211,c_15021]) ).
tcf(c_15169,plain,
multiply(inverse(iPr_def_18),identity) = sk_c6,
inference(superposition,[status(thm)],[c_1212,c_15021]) ).
tcf(c_15170,plain,
multiply(inverse(iPr_def_27),identity) = sk_c1,
inference(superposition,[status(thm)],[c_1213,c_15021]) ).
tcf(c_15171,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1754,c_15021]) ).
tcf(c_15172,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1214,c_15021]) ).
tcf(c_15173,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1664,c_15021]) ).
tcf(c_15174,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1215,c_15021]) ).
tcf(c_15175,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1594,c_15021]) ).
tcf(c_15176,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_15021]) ).
tcf(c_15177,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3925,c_15021]) ).
tcf(c_15178,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3863,c_15021]) ).
tcf(c_15179,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3793,c_15021]) ).
tcf(c_15180,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1463,c_15021]) ).
tcf(c_15181,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1396,c_15021]) ).
tcf(c_15182,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1326,c_15021]) ).
tcf(c_15183,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3926,c_15021]) ).
tcf(c_15184,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3864,c_15021]) ).
tcf(c_15185,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3794,c_15021]) ).
tcf(c_15186,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1464,c_15021]) ).
tcf(c_15187,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1397,c_15021]) ).
tcf(c_15188,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1327,c_15021]) ).
tcf(c_15189,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_15021]) ).
tcf(c_15190,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1910,c_15021]) ).
tcf(c_15191,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1908,c_15021]) ).
tcf(c_15192,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1906,c_15021]) ).
tcf(c_15193,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1904,c_15021]) ).
tcf(c_15194,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1977,c_15021]) ).
tcf(c_15195,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1911,c_15021]) ).
tcf(c_15196,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1909,c_15021]) ).
tcf(c_15197,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1907,c_15021]) ).
tcf(c_15198,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_18),identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1905,c_15021]) ).
tcf(c_15199,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5143,c_15021]) ).
tcf(c_15200,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5022,c_15021]) ).
tcf(c_15201,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2216,c_15021]) ).
tcf(c_15202,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2081,c_15021]) ).
tcf(c_15203,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2004,c_15021]) ).
tcf(c_15204,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5144,c_15021]) ).
tcf(c_15205,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5023,c_15021]) ).
tcf(c_15206,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2217,c_15021]) ).
tcf(c_15207,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2082,c_15021]) ).
tcf(c_15208,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2005,c_15021]) ).
tcf(c_15209,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5146,c_15021]) ).
tcf(c_15210,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5025,c_15021]) ).
tcf(c_15211,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2219,c_15021]) ).
tcf(c_15212,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2084,c_15021]) ).
tcf(c_15213,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2007,c_15021]) ).
tcf(c_15214,plain,
multiply(inverse(iPr_def_23),sk_c10) = iPr_def_24,
inference(superposition,[status(thm)],[c_5741,c_15021]) ).
tcf(c_15215,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12073,c_15021]) ).
tcf(c_15216,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10297,c_15021]) ).
tcf(c_15217,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8942,c_15021]) ).
tcf(c_15218,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5551,c_15021]) ).
tcf(c_15219,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_15021]) ).
tcf(c_15220,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3167,c_15021]) ).
tcf(c_15221,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3049,c_15021]) ).
tcf(c_15222,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2934,c_15021]) ).
tcf(c_15223,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2822,c_15021]) ).
tcf(c_15224,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2605,c_15021]) ).
tcf(c_15225,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3249,c_15021]) ).
tcf(c_15226,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3168,c_15021]) ).
tcf(c_15227,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3050,c_15021]) ).
tcf(c_15228,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2935,c_15021]) ).
tcf(c_15229,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2823,c_15021]) ).
tcf(c_15230,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2606,c_15021]) ).
tcf(c_15231,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_2657,c_15021]) ).
tcf(c_15232,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_24,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2658,c_15021]) ).
tcf(c_15233,plain,
! [X0: $i] : multiply(inverse(sk_c5),multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2659,c_15021]) ).
tcf(c_15234,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_20,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_2660,c_15021]) ).
tcf(c_15235,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2661,c_15021]) ).
tcf(c_15236,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_14,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2662,c_15021]) ).
tcf(c_15237,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_28,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2663,c_15021]) ).
tcf(c_15238,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_17,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_2664,c_15021]) ).
tcf(c_15240,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_2683,c_15021]) ).
tcf(c_15241,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2682,c_15021]) ).
tcf(c_15242,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2681,c_15021]) ).
tcf(c_15243,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2680,c_15021]) ).
tcf(c_15244,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2679,c_15021]) ).
tcf(c_15245,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2678,c_15021]) ).
tcf(c_15246,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2677,c_15021]) ).
tcf(c_15247,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4912,c_15021]) ).
tcf(c_15248,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4660,c_15021]) ).
tcf(c_15249,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4485,c_15021]) ).
tcf(c_15250,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4353,c_15021]) ).
tcf(c_15251,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4206,c_15021]) ).
tcf(c_15252,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4081,c_15021]) ).
tcf(c_15253,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4913,c_15021]) ).
tcf(c_15254,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4661,c_15021]) ).
tcf(c_15255,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4486,c_15021]) ).
tcf(c_15256,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4354,c_15021]) ).
tcf(c_15257,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4207,c_15021]) ).
tcf(c_15258,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4082,c_15021]) ).
tcf(c_15259,plain,
multiply(inverse(iPr_def_27),sk_c2) = iPr_def_28,
inference(superposition,[status(thm)],[c_5304,c_15021]) ).
tcf(c_15260,plain,
multiply(inverse(iPr_def_19),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_5677,c_15021]) ).
tcf(c_15261,plain,
multiply(inverse(iPr_def_21),sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_5696,c_15021]) ).
tcf(c_15262,plain,
multiply(inverse(iPr_def_25),sk_c11) = iPr_def_26,
inference(superposition,[status(thm)],[c_5985,c_15021]) ).
tcf(c_15263,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11600,c_15021]) ).
tcf(c_15264,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9975,c_15021]) ).
tcf(c_15265,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8576,c_15021]) ).
tcf(c_15266,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7083,c_15021]) ).
tcf(c_15267,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11602,c_15021]) ).
tcf(c_15268,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9976,c_15021]) ).
tcf(c_15269,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8577,c_15021]) ).
tcf(c_15270,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7084,c_15021]) ).
tcf(c_15271,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11116,c_15021]) ).
tcf(c_15272,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9784,c_15021]) ).
tcf(c_15273,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8348,c_15021]) ).
tcf(c_15274,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7137,c_15021]) ).
tcf(c_15275,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_15021]) ).
tcf(c_15276,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9785,c_15021]) ).
tcf(c_15277,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8349,c_15021]) ).
tcf(c_15278,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7138,c_15021]) ).
tcf(c_15279,plain,
multiply(inverse(sk_c4),multiply(iPr_def_24,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_13590,c_15021]) ).
tcf(c_15280,plain,
multiply(inverse(sk_c8),multiply(iPr_def_20,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_14102,c_15021]) ).
tcf(c_15281,plain,
multiply(inverse(sk_c5),multiply(iPr_def_22,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_13757,c_15021]) ).
tcf(c_15282,plain,
multiply(inverse(sk_c7),multiply(iPr_def_16,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_14243,c_15021]) ).
tcf(c_15283,plain,
multiply(inverse(sk_c1),multiply(iPr_def_28,sk_c9)) = iPr_def_17,
inference(superposition,[status(thm)],[c_14472,c_15021]) ).
tcf(c_15284,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15021,c_15021]) ).
tcf(c_15285,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_15021,c_105]) ).
tcf(c_16072,plain,
multiply(inverse(inverse(sk_c8)),sk_c10) = iPr_def_20,
inference(superposition,[status(thm)],[c_15072,c_15021]) ).
tcf(c_16075,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12536,c_15074]) ).
tcf(c_16079,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12031,c_15074]) ).
tcf(c_16084,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10254,c_15074]) ).
tcf(c_16086,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_8900,c_15074]) ).
tcf(c_16089,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2289,c_15074]) ).
tcf(c_16103,plain,
multiply(inverse(inverse(sk_c10)),sk_c9) = iPr_def_14,
inference(superposition,[status(thm)],[c_15074,c_15021]) ).
tcf(c_16127,plain,
multiply(inverse(inverse(sk_c2)),sk_c9) = iPr_def_17,
inference(superposition,[status(thm)],[c_15076,c_15021]) ).
tcf(c_16130,plain,
! [X0: $i] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[c_15077,c_15021]) ).
tcf(c_16132,plain,
( ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(inverse(identity)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15077,c_640]) ).
tcf(c_16133,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(identity)) != inverse(X0) )
| ( inverse(inverse(inverse(identity))) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15077,c_638]) ).
tcf(c_16134,plain,
( ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(inverse(identity)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15077,c_641]) ).
tcf(c_16135,plain,
( ~ iPr_def_12
| ( inverse(inverse(identity)) != sk_c11 )
| ( multiply(inverse(inverse(identity)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15077,c_639]) ).
tcf(c_16225,plain,
multiply(sk_c11,identity) = sk_c11,
inference(demodulation,[status(thm)],[c_15164,c_15240]) ).
tcf(c_16226,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12611,c_16225]) ).
tcf(c_16227,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12609,c_16225]) ).
tcf(c_16231,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10426,c_16225]) ).
tcf(c_16232,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10425,c_16225]) ).
tcf(c_16236,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9112,c_16225]) ).
tcf(c_16237,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9111,c_16225]) ).
tcf(c_16241,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1807,c_16225]) ).
tcf(c_16242,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1750,c_16225]) ).
tcf(c_16243,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1749,c_16225]) ).
tcf(c_16244,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1660,c_16225]) ).
tcf(c_16245,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1631,c_16225]) ).
tcf(c_16246,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1562,c_16225]) ).
tcf(c_16247,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1498,c_16225]) ).
tcf(c_16248,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1375,c_16225]) ).
tcf(c_16249,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1309,c_16225]) ).
tcf(c_16250,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1078,c_16225]) ).
tcf(c_16251,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1065,c_16225]) ).
tcf(c_16252,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1064,c_16225]) ).
tcf(c_16253,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1027,c_16225]) ).
tcf(c_16254,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1019,c_16225]) ).
tcf(c_16255,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1007,c_16225]) ).
tcf(c_16256,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_680,c_16225]) ).
tcf(c_16257,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_677,c_16225]) ).
tcf(c_16258,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_675,c_16225]) ).
tcf(c_16259,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_670,c_16225]) ).
tcf(c_16260,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_667,c_16225]) ).
tcf(c_16261,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_665,c_16225]) ).
tcf(c_16262,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_650,c_16225]) ).
tcf(c_16263,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_647,c_16225]) ).
tcf(c_16264,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_645,c_16225]) ).
tcf(c_16265,plain,
multiply(inverse(sk_c11),sk_c11) = identity,
inference(superposition,[status(thm)],[c_16225,c_15021]) ).
tcf(c_16266,plain,
! [X0: $i] : multiply(sk_c11,multiply(identity,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_16225,c_105]) ).
tcf(c_16267,plain,
multiply(sk_c3,sk_c11) = multiply(iPr_def_26,identity),
inference(superposition,[status(thm)],[c_16225,c_2657]) ).
tcf(c_16270,plain,
multiply(iPr_def_26,identity) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_16267,c_634]) ).
tcf(c_16456,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12691,c_16270]) ).
tcf(c_16457,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4899,c_16270]) ).
tcf(c_16458,plain,
multiply(inverse(iPr_def_26),iPr_def_26) = identity,
inference(superposition,[status(thm)],[c_16270,c_15021]) ).
tcf(c_16459,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(identity,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_16270,c_105]) ).
tcf(c_16465,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm)],[c_15165,c_15241]) ).
tcf(c_16466,plain,
multiply(inverse(sk_c3),sk_c3) = identity,
inference(superposition,[status(thm)],[c_16465,c_15021]) ).
tcf(c_16467,plain,
! [X0: $i] : multiply(sk_c3,multiply(identity,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_16465,c_105]) ).
tcf(c_16471,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm)],[c_15166,c_15242]) ).
tcf(c_16472,plain,
multiply(inverse(sk_c4),sk_c4) = identity,
inference(superposition,[status(thm)],[c_16471,c_15021]) ).
tcf(c_16473,plain,
! [X0: $i] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_16471,c_105]) ).
tcf(c_16483,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_25),iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_16256,c_15021]) ).
tcf(c_16484,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_16256,c_105]) ).
tcf(c_16491,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_22),iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_16257,c_15021]) ).
tcf(c_16492,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(identity,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_16257,c_105]) ).
tcf(c_16498,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_16258,c_15021]) ).
tcf(c_16499,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(identity,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_16258,c_105]) ).
tcf(c_16505,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_16259]) ).
tcf(c_16506,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_16259]) ).
tcf(c_16507,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_16259]) ).
tcf(c_16508,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_16259]) ).
tcf(c_16509,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_16259]) ).
tcf(c_16510,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4190,c_16259]) ).
tcf(c_16511,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_16259]) ).
tcf(c_16512,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3915,c_16259]) ).
tcf(c_16513,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3857,c_16259]) ).
tcf(c_16514,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_16259]) ).
tcf(c_16515,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_16259,c_15021]) ).
tcf(c_16516,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_16259,c_105]) ).
tcf(c_16579,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_16260]) ).
tcf(c_16580,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_16260]) ).
tcf(c_16581,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_16260]) ).
tcf(c_16582,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_16260]) ).
tcf(c_16583,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_16260]) ).
tcf(c_16584,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4190,c_16260]) ).
tcf(c_16585,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_16260]) ).
tcf(c_16586,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3915,c_16260]) ).
tcf(c_16587,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3857,c_16260]) ).
tcf(c_16588,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_16260]) ).
tcf(c_16589,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_16260,c_15021]) ).
tcf(c_16590,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_16260,c_105]) ).
tcf(c_16655,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_16261]) ).
tcf(c_16656,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_16261]) ).
tcf(c_16657,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_16261]) ).
tcf(c_16658,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_16261]) ).
tcf(c_16659,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_16261]) ).
tcf(c_16660,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4190,c_16261]) ).
tcf(c_16661,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_16261]) ).
tcf(c_16662,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3915,c_16261]) ).
tcf(c_16663,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3857,c_16261]) ).
tcf(c_16664,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_16261]) ).
tcf(c_16665,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_16261,c_15021]) ).
tcf(c_16666,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(identity,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_16261,c_105]) ).
tcf(c_16704,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_16262,c_15021]) ).
tcf(c_16705,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_16262,c_105]) ).
tcf(c_16712,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_16263,c_15021]) ).
tcf(c_16713,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(identity,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_16263,c_105]) ).
tcf(c_16715,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15078,c_15284]) ).
tcf(c_16732,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16715,c_105]) ).
tcf(c_16734,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_16715,c_105]) ).
tcf(c_16735,plain,
multiply(sk_c8,sk_c10) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_16715,c_2660]) ).
tcf(c_16736,plain,
multiply(sk_c4,sk_c10) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_16715,c_2658]) ).
tcf(c_16739,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_16715,c_2661]) ).
tcf(c_16740,plain,
multiply(sk_c5,sk_c8) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_16715,c_2659]) ).
tcf(c_16741,plain,
multiply(sk_c2,sk_c9) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_16715,c_2664]) ).
tcf(c_16742,plain,
multiply(sk_c10,sk_c9) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_16715,c_2662]) ).
tcf(c_16743,plain,
multiply(sk_c1,sk_c2) = multiply(iPr_def_28,identity),
inference(superposition,[status(thm)],[c_16715,c_2663]) ).
tcf(c_16750,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_16715,c_15077]) ).
tcf(c_16751,plain,
multiply(iPr_def_28,identity) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_16743,c_636]) ).
tcf(c_16752,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_16742,c_622]) ).
tcf(c_16753,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_16741,c_625]) ).
tcf(c_16754,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_16740,c_630]) ).
tcf(c_16755,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_16739,c_624]) ).
tcf(c_16756,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_16736,c_632]) ).
tcf(c_16757,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_16735,c_628]) ).
tcf(c_16765,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5254,c_15021]) ).
tcf(c_16767,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5254,c_2681]) ).
tcf(c_16794,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5255,c_15021]) ).
tcf(c_16796,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5255,c_2661]) ).
tcf(c_16797,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_5255,c_2659]) ).
tcf(c_16799,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_16797,c_13757]) ).
tcf(c_16802,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_16796,c_14243]) ).
tcf(c_16816,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_16750,c_15021]) ).
tcf(c_16817,plain,
( ~ iPr_def_12
| ( multiply(identity,identity) != sk_c11 )
| ( multiply(inverse(identity),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16750,c_639]) ).
tcf(c_16818,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_16750,c_104]) ).
tcf(c_16819,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,identity) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(identity) )
| ( multiply(identity,inverse(identity)) != sk_c11 )
| ( multiply(inverse(identity),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_16750,c_638]) ).
tcf(c_16821,plain,
( ~ iPr_def_12
| ( multiply(identity,identity) != sk_c11 )
| ( multiply(identity,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_16817,c_16750]) ).
tcf(c_16825,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != X0 )
| ( multiply(identity,identity) != sk_c11 )
| ( multiply(identity,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != identity ) ),
inference(light_normalisation,[status(thm)],[c_16819,c_16715,c_16750]) ).
tcf(c_16887,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2931,c_2657]) ).
tcf(c_16901,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2931,c_2683]) ).
tcf(c_16905,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2931,c_1660]) ).
tcf(c_16911,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2931,c_641]) ).
tcf(c_16915,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2931,c_1027]) ).
tcf(c_16918,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2931,c_637]) ).
tcf(c_16919,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2931,c_677]) ).
tcf(c_16920,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2931,c_675]) ).
tcf(c_16924,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_2931,c_1207]) ).
tcf(c_16925,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2931,c_634]) ).
tcf(c_16926,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2931,c_623]) ).
tcf(c_16927,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2931,c_647]) ).
tcf(c_16928,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2931,c_645]) ).
tcf(c_16982,plain,
multiply(sk_c2,identity) = multiply(iPr_def_27,iPr_def_28),
inference(superposition,[status(thm)],[c_16715,c_5599]) ).
tcf(c_16983,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_12814,c_5599]) ).
tcf(c_16984,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_12696,c_5599]) ).
tcf(c_16985,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_10662,c_5599]) ).
tcf(c_16986,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_10510,c_5599]) ).
tcf(c_16987,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_4895,c_5599]) ).
tcf(c_16988,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_4190,c_5599]) ).
tcf(c_16989,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_4066,c_5599]) ).
tcf(c_16990,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_3915,c_5599]) ).
tcf(c_16991,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_3857,c_5599]) ).
tcf(c_16992,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_3788,c_5599]) ).
tcf(c_16993,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(sk_c2,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_5599,c_15021]) ).
tcf(c_16994,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(iPr_def_28,X0),X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_5599,c_105]) ).
tcf(c_16995,plain,
multiply(sk_c2,identity) = sk_c2,
inference(light_normalisation,[status(thm)],[c_16982,c_5304]) ).
tcf(c_17175,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_4073,c_5694]) ).
tcf(c_17176,plain,
multiply(sk_c8,identity) = multiply(iPr_def_19,iPr_def_16),
inference(superposition,[status(thm)],[c_16715,c_5694]) ).
tcf(c_17177,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_5694,c_15021]) ).
tcf(c_17178,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_5694,c_105]) ).
tcf(c_17179,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_17176,c_5677]) ).
tcf(c_17307,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_4197,c_5730]) ).
tcf(c_17308,plain,
multiply(sk_c8,identity) = multiply(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_16715,c_5730]) ).
tcf(c_17309,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_4343,c_5730]) ).
tcf(c_17310,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_5730,c_15021]) ).
tcf(c_17311,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_5730,c_105]) ).
tcf(c_17348,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_12809,c_5756]) ).
tcf(c_17349,plain,
multiply(sk_c10,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_16715,c_5756]) ).
tcf(c_17350,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c10,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_5756,c_15021]) ).
tcf(c_17351,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_5756,c_105]) ).
tcf(c_17352,plain,
multiply(sk_c10,identity) = sk_c10,
inference(light_normalisation,[status(thm)],[c_17349,c_5741]) ).
tcf(c_17400,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2932,c_2931]) ).
tcf(c_17401,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_2932,c_2657]) ).
tcf(c_17415,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_2932,c_2683]) ).
tcf(c_17419,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2932,c_1660]) ).
tcf(c_17422,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2932,c_1498]) ).
tcf(c_17425,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_2932,c_641]) ).
tcf(c_17429,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2932,c_1027]) ).
tcf(c_17432,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2932,c_637]) ).
tcf(c_17434,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2932,c_675]) ).
tcf(c_17438,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_2932,c_1207]) ).
tcf(c_17439,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2932,c_634]) ).
tcf(c_17441,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2932,c_623]) ).
tcf(c_17442,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2932,c_645]) ).
tcf(c_17565,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2933,c_2932]) ).
tcf(c_17668,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_3046,c_2657]) ).
tcf(c_17682,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3046,c_2683]) ).
tcf(c_17684,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3046,c_1750]) ).
tcf(c_17685,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3046,c_1749]) ).
tcf(c_17692,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3046,c_641]) ).
tcf(c_17694,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3046,c_1065]) ).
tcf(c_17695,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3046,c_1064]) ).
tcf(c_17699,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3046,c_637]) ).
tcf(c_17700,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3046,c_677]) ).
tcf(c_17701,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3046,c_675]) ).
tcf(c_17705,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_3046,c_1207]) ).
tcf(c_17706,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3046,c_634]) ).
tcf(c_17707,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3046,c_623]) ).
tcf(c_17708,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3046,c_647]) ).
tcf(c_17709,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3046,c_645]) ).
tcf(c_17805,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4648,c_5997]) ).
tcf(c_17806,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4474,c_5997]) ).
tcf(c_17807,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,sk_c9) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_2296,c_5997]) ).
tcf(c_17808,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,sk_c9) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_1811,c_5997]) ).
tcf(c_17809,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,sk_c9) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_1501,c_5997]) ).
tcf(c_17810,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,sk_c9) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_1077,c_5997]) ).
tcf(c_17811,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,iPr_def_24) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_12073,c_5997]) ).
tcf(c_17812,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,iPr_def_24) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_10297,c_5997]) ).
tcf(c_17813,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_24) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_8942,c_5997]) ).
tcf(c_17814,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_24) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_5551,c_5997]) ).
tcf(c_17815,plain,
multiply(sk_c11,identity) = multiply(iPr_def_25,iPr_def_26),
inference(superposition,[status(thm)],[c_16715,c_5997]) ).
tcf(c_17816,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_12691,c_5997]) ).
tcf(c_17817,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_4899,c_5997]) ).
tcf(c_17818,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_5997,c_15021]) ).
tcf(c_17819,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_5997,c_105]) ).
tcf(c_17881,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_9113,c_13590]) ).
tcf(c_17889,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_679,c_17881]) ).
tcf(c_17890,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_669,c_17881]) ).
tcf(c_17892,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_649,c_17881]) ).
tcf(c_17893,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_17881,c_15021]) ).
tcf(c_17894,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_17881,c_105]) ).
tcf(c_17895,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,sk_c9) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_17881,c_5756]) ).
tcf(c_17920,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_9114,c_14102]) ).
tcf(c_17928,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_17920]) ).
tcf(c_17929,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_669,c_17920]) ).
tcf(c_17931,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_17920]) ).
tcf(c_17932,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_17920,c_15021]) ).
tcf(c_17933,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_17920,c_105]) ).
tcf(c_18038,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17890,c_15021]) ).
tcf(c_18039,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_17890,c_105]) ).
tcf(c_18040,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_17890,c_5756]) ).
tcf(c_18043,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_24) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_18040,c_5741]) ).
tcf(c_18053,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17929,c_15021]) ).
tcf(c_18054,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_17929,c_105]) ).
tcf(c_18103,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3047,c_3046]) ).
tcf(c_18177,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9274,c_15021]) ).
tcf(c_18179,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9274,c_2682]) ).
tcf(c_18196,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9461,c_15021]) ).
tcf(c_18198,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9461,c_2682]) ).
tcf(c_18201,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_10429,c_13590]) ).
tcf(c_18209,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_679,c_18201]) ).
tcf(c_18213,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18201,c_15021]) ).
tcf(c_18214,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_18201,c_105]) ).
tcf(c_18215,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,sk_c9) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_18201,c_5756]) ).
tcf(c_18224,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_10430,c_14102]) ).
tcf(c_18232,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_679,c_18224]) ).
tcf(c_18236,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18224,c_15021]) ).
tcf(c_18237,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18224,c_105]) ).
tcf(c_18257,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_17565,c_5599]) ).
tcf(c_18268,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_17565,c_1464]) ).
tcf(c_18269,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_1463]) ).
tcf(c_18270,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_17565,c_1397]) ).
tcf(c_18271,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_1396]) ).
tcf(c_18272,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_17565,c_1327]) ).
tcf(c_18273,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_1326]) ).
tcf(c_18280,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_17565,c_1466]) ).
tcf(c_18281,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_17565,c_1399]) ).
tcf(c_18282,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_17565,c_1329]) ).
tcf(c_18283,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_17565,c_5304]) ).
tcf(c_18337,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_18103,c_5599]) ).
tcf(c_18348,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18103,c_1464]) ).
tcf(c_18349,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_1463]) ).
tcf(c_18350,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18103,c_1397]) ).
tcf(c_18351,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_1396]) ).
tcf(c_18352,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18103,c_1327]) ).
tcf(c_18353,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_1326]) ).
tcf(c_18360,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18103,c_1466]) ).
tcf(c_18361,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18103,c_1399]) ).
tcf(c_18362,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18103,c_1329]) ).
tcf(c_18363,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_18103,c_5304]) ).
tcf(c_18455,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18209,c_15021]) ).
tcf(c_18456,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_18209,c_105]) ).
tcf(c_18457,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_18209,c_5756]) ).
tcf(c_18460,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_24) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_18457,c_5741]) ).
tcf(c_18470,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18232,c_15021]) ).
tcf(c_18471,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_18232,c_105]) ).
tcf(c_18520,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_3164,c_2657]) ).
tcf(c_18534,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3164,c_2683]) ).
tcf(c_18536,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3164,c_1750]) ).
tcf(c_18544,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3164,c_641]) ).
tcf(c_18546,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3164,c_1065]) ).
tcf(c_18551,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3164,c_637]) ).
tcf(c_18553,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3164,c_675]) ).
tcf(c_18557,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_3164,c_1207]) ).
tcf(c_18558,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3164,c_634]) ).
tcf(c_18559,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3164,c_623]) ).
tcf(c_18561,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3164,c_645]) ).
tcf(c_18676,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3165,c_3164]) ).
tcf(c_18677,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_3165,c_2657]) ).
tcf(c_18691,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3165,c_2683]) ).
tcf(c_18693,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3165,c_1750]) ).
tcf(c_18698,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3165,c_1498]) ).
tcf(c_18701,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_3165,c_641]) ).
tcf(c_18703,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3165,c_1065]) ).
tcf(c_18708,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3165,c_637]) ).
tcf(c_18714,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_3165,c_1207]) ).
tcf(c_18715,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_3165,c_634]) ).
tcf(c_18717,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3165,c_623]) ).
tcf(c_18948,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3166,c_3164]) ).
tcf(c_19016,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10533,c_15021]) ).
tcf(c_19018,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10533,c_2682]) ).
tcf(c_19025,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10686,c_15021]) ).
tcf(c_19027,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10686,c_2682]) ).
tcf(c_19034,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12169,c_15021]) ).
tcf(c_19036,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12169,c_2681]) ).
tcf(c_19050,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_18948,c_5599]) ).
tcf(c_19061,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18948,c_1464]) ).
tcf(c_19062,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_1463]) ).
tcf(c_19063,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18948,c_1397]) ).
tcf(c_19064,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_1396]) ).
tcf(c_19065,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18948,c_1327]) ).
tcf(c_19066,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_1326]) ).
tcf(c_19073,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18948,c_1466]) ).
tcf(c_19074,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18948,c_1399]) ).
tcf(c_19075,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_18948,c_1329]) ).
tcf(c_19076,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_18948,c_5304]) ).
tcf(c_19112,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_15)),multiply(sk_c11,X0)) = X0,
inference(superposition,[status(thm)],[c_15240,c_15021]) ).
tcf(c_19113,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_15),multiply(X0,X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_15240,c_105]) ).
tcf(c_19114,plain,
multiply(sk_c11,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_15240,c_104]) ).
tcf(c_19115,plain,
( ~ iPr_def_11
| ( multiply(sk_c11,sk_c10) != sk_c9 )
| ( inverse(inverse(iPr_def_15)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15240,c_640]) ).
tcf(c_19116,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_15))) != inverse(X0) )
| ( multiply(sk_c11,inverse(X0)) != inverse(inverse(iPr_def_15)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15240,c_638]) ).
tcf(c_19117,plain,
( ~ iPr_def_10
| ( multiply(sk_c11,sk_c11) != sk_c10 )
| ( inverse(inverse(iPr_def_15)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15240,c_641]) ).
tcf(c_19118,plain,
( ~ iPr_def_12
| ( multiply(sk_c11,inverse(inverse(iPr_def_15))) != sk_c11 )
| ( multiply(inverse(inverse(iPr_def_15)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15240,c_639]) ).
tcf(c_19119,plain,
! [X0: $i] : multiply(sk_c11,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_15240,c_15021]) ).
tcf(c_19120,plain,
multiply(sk_c11,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_15240,c_16715]) ).
tcf(c_19139,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12611,c_19114]) ).
tcf(c_19140,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12609,c_19114]) ).
tcf(c_19144,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10426,c_19114]) ).
tcf(c_19145,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10425,c_19114]) ).
tcf(c_19149,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_9112,c_19114]) ).
tcf(c_19150,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_9111,c_19114]) ).
tcf(c_19154,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1807,c_19114]) ).
tcf(c_19155,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1750,c_19114]) ).
tcf(c_19156,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1749,c_19114]) ).
tcf(c_19157,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1660,c_19114]) ).
tcf(c_19158,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1631,c_19114]) ).
tcf(c_19159,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1562,c_19114]) ).
tcf(c_19160,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1498,c_19114]) ).
tcf(c_19161,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1375,c_19114]) ).
tcf(c_19162,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1309,c_19114]) ).
tcf(c_19163,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1078,c_19114]) ).
tcf(c_19164,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1065,c_19114]) ).
tcf(c_19165,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1064,c_19114]) ).
tcf(c_19166,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1027,c_19114]) ).
tcf(c_19167,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1019,c_19114]) ).
tcf(c_19168,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_1007,c_19114]) ).
tcf(c_19169,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_680,c_19114]) ).
tcf(c_19170,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_19114]) ).
tcf(c_19171,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_675,c_19114]) ).
tcf(c_19172,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_670,c_19114]) ).
tcf(c_19173,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_19114]) ).
tcf(c_19174,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_665,c_19114]) ).
tcf(c_19175,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_650,c_19114]) ).
tcf(c_19176,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_647,c_19114]) ).
tcf(c_19177,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_645,c_19114]) ).
tcf(c_19178,plain,
multiply(inverse(sk_c11),identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_19114,c_15021]) ).
tcf(c_19179,plain,
! [X0: $i] : multiply(sk_c11,multiply(iPr_def_15,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_19114,c_105]) ).
tcf(c_19180,plain,
multiply(sk_c3,identity) = multiply(iPr_def_26,iPr_def_15),
inference(superposition,[status(thm)],[c_19114,c_2657]) ).
tcf(c_19181,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_19114,c_2683]) ).
tcf(c_19364,plain,
inverse(iPr_def_15) = sk_c11,
inference(demodulation,[status(thm)],[c_19120,c_16715]) ).
tcf(c_19367,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_15,sk_c11) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_19364,c_639]) ).
tcf(c_19369,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_19364,c_638]) ).
tcf(c_19370,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(sk_c11,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_19367,c_1207,c_19364]) ).
tcf(c_19374,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c11,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c11) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_19369,c_1207,c_19364]) ).
tcf(c_19387,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_25),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19169,c_15021]) ).
tcf(c_19388,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19169,c_105]) ).
tcf(c_19391,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19388,c_103]) ).
tcf(c_19419,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19170,c_15021]) ).
tcf(c_19420,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19170,c_105]) ).
tcf(c_19421,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_19170,c_5730]) ).
tcf(c_19426,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19420,c_103]) ).
tcf(c_19449,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19171,c_15021]) ).
tcf(c_19450,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19171,c_105]) ).
tcf(c_19453,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19450,c_103]) ).
tcf(c_19461,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_19172]) ).
tcf(c_19462,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_19172]) ).
tcf(c_19463,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_19172]) ).
tcf(c_19464,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_19172]) ).
tcf(c_19465,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_19172]) ).
tcf(c_19466,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_19172]) ).
tcf(c_19467,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_19172]) ).
tcf(c_19468,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_19172]) ).
tcf(c_19469,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_19172]) ).
tcf(c_19470,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_19172]) ).
tcf(c_19471,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_19172]) ).
tcf(c_19472,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_19172]) ).
tcf(c_19473,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_19172]) ).
tcf(c_19474,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19172,c_15021]) ).
tcf(c_19475,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19172,c_105]) ).
tcf(c_19476,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_19172,c_5599]) ).
tcf(c_19481,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19475,c_103]) ).
tcf(c_19572,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_19173]) ).
tcf(c_19573,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_19173]) ).
tcf(c_19574,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_19173]) ).
tcf(c_19575,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_19173]) ).
tcf(c_19576,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_19173]) ).
tcf(c_19577,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_19173]) ).
tcf(c_19578,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_19173]) ).
tcf(c_19579,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_19173]) ).
tcf(c_19580,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_19173]) ).
tcf(c_19581,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_19173]) ).
tcf(c_19582,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_19173]) ).
tcf(c_19583,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_19173]) ).
tcf(c_19584,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_19173]) ).
tcf(c_19585,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19173,c_15021]) ).
tcf(c_19586,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19173,c_105]) ).
tcf(c_19587,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_19173,c_5599]) ).
tcf(c_19592,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19586,c_103]) ).
tcf(c_19662,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_19174]) ).
tcf(c_19663,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_19174]) ).
tcf(c_19664,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_19174]) ).
tcf(c_19665,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_19174]) ).
tcf(c_19666,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_19174]) ).
tcf(c_19667,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_19174]) ).
tcf(c_19668,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_19174]) ).
tcf(c_19669,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_19174]) ).
tcf(c_19670,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_19174]) ).
tcf(c_19671,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_19174]) ).
tcf(c_19672,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_19174]) ).
tcf(c_19673,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_19174]) ).
tcf(c_19674,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_19174]) ).
tcf(c_19675,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_15021]) ).
tcf(c_19676,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19174,c_105]) ).
tcf(c_19677,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_19174,c_5599]) ).
tcf(c_19682,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19676,c_103]) ).
tcf(c_19808,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19175,c_15021]) ).
tcf(c_19809,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19175,c_105]) ).
tcf(c_19812,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19809,c_103]) ).
tcf(c_19821,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19176,c_15021]) ).
tcf(c_19822,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19176,c_105]) ).
tcf(c_19823,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_19176,c_5730]) ).
tcf(c_19828,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_19822,c_103]) ).
tcf(c_19902,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12170,c_15021]) ).
tcf(c_19904,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_12170,c_2661]) ).
tcf(c_19905,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_12170,c_2659]) ).
tcf(c_19907,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_19905,c_13757]) ).
tcf(c_19910,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_19904,c_14243]) ).
tcf(c_19924,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_12607,c_13590]) ).
tcf(c_19935,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_649,c_19924]) ).
tcf(c_19936,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_19924,c_15021]) ).
tcf(c_19937,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_19924,c_105]) ).
tcf(c_19938,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,sk_c9) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_19924,c_5756]) ).
tcf(c_19947,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_12608,c_14102]) ).
tcf(c_19958,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_649,c_19947]) ).
tcf(c_19959,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_19947,c_15021]) ).
tcf(c_19960,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_19947,c_105]) ).
tcf(c_19968,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12611,c_19119]) ).
tcf(c_19969,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12609,c_19119]) ).
tcf(c_19973,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10426,c_19119]) ).
tcf(c_19974,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10425,c_19119]) ).
tcf(c_19978,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_9112,c_19119]) ).
tcf(c_19979,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_9111,c_19119]) ).
tcf(c_19983,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1807,c_19119]) ).
tcf(c_19984,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1750,c_19119]) ).
tcf(c_19985,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1749,c_19119]) ).
tcf(c_19986,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1660,c_19119]) ).
tcf(c_19987,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1631,c_19119]) ).
tcf(c_19988,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1562,c_19119]) ).
tcf(c_19989,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1498,c_19119]) ).
tcf(c_19990,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1375,c_19119]) ).
tcf(c_19991,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1309,c_19119]) ).
tcf(c_19992,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1078,c_19119]) ).
tcf(c_19993,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1065,c_19119]) ).
tcf(c_19994,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1064,c_19119]) ).
tcf(c_19995,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1027,c_19119]) ).
tcf(c_19996,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1019,c_19119]) ).
tcf(c_19997,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1007,c_19119]) ).
tcf(c_20006,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_645,c_19119]) ).
tcf(c_20008,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1754,c_19119]) ).
tcf(c_20009,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1214,c_19119]) ).
tcf(c_20010,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1664,c_19119]) ).
tcf(c_20011,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1215,c_19119]) ).
tcf(c_20012,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1594,c_19119]) ).
tcf(c_20013,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_19119]) ).
tcf(c_20014,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c11,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3925,c_19119]) ).
tcf(c_20015,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3863,c_19119]) ).
tcf(c_20016,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3793,c_19119]) ).
tcf(c_20017,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c11,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1463,c_19119]) ).
tcf(c_20018,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c11,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1396,c_19119]) ).
tcf(c_20019,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c11,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1326,c_19119]) ).
tcf(c_20020,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12172,c_19119]) ).
tcf(c_20021,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5257,c_19119]) ).
tcf(c_20022,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5146,c_19119]) ).
tcf(c_20023,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5025,c_19119]) ).
tcf(c_20024,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2219,c_19119]) ).
tcf(c_20025,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2084,c_19119]) ).
tcf(c_20026,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2007,c_19119]) ).
tcf(c_20027,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c11,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_19119]) ).
tcf(c_20028,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c11,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3167,c_19119]) ).
tcf(c_20029,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c11,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3049,c_19119]) ).
tcf(c_20030,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c11,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2934,c_19119]) ).
tcf(c_20031,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2822,c_19119]) ).
tcf(c_20032,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2605,c_19119]) ).
tcf(c_20033,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c11,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4912,c_19119]) ).
tcf(c_20034,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c11,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4660,c_19119]) ).
tcf(c_20035,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c11,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4485,c_19119]) ).
tcf(c_20036,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c11,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4353,c_19119]) ).
tcf(c_20037,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4206,c_19119]) ).
tcf(c_20038,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4081,c_19119]) ).
tcf(c_20040,plain,
! [X0: $i] : multiply(inverse(sk_c11),X0) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_19119,c_15021]) ).
tcf(c_20041,plain,
! [X0: $i,X1: $i] : multiply(sk_c11,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_19119,c_105]) ).
tcf(c_20042,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(iPr_def_15,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_19119,c_2657]) ).
tcf(c_20361,plain,
multiply(iPr_def_26,iPr_def_15) = sk_c3,
inference(demodulation,[status(thm)],[c_19180,c_16715]) ).
tcf(c_20362,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_12691,c_20361]) ).
tcf(c_20363,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4899,c_20361]) ).
tcf(c_20364,plain,
multiply(inverse(iPr_def_26),sk_c3) = iPr_def_15,
inference(superposition,[status(thm)],[c_20361,c_15021]) ).
tcf(c_20366,plain,
multiply(sk_c11,iPr_def_15) = multiply(iPr_def_25,sk_c3),
inference(superposition,[status(thm)],[c_20361,c_5997]) ).
tcf(c_20372,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12691,c_20364]) ).
tcf(c_20373,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4899,c_20364]) ).
tcf(c_20374,plain,
multiply(inverse(inverse(iPr_def_26)),iPr_def_15) = sk_c3,
inference(superposition,[status(thm)],[c_20364,c_15021]) ).
tcf(c_20375,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_20364,c_105]) ).
tcf(c_20441,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19177,c_15021]) ).
tcf(c_20442,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_19177,c_105]) ).
tcf(c_20450,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19935,c_15021]) ).
tcf(c_20451,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_19935,c_105]) ).
tcf(c_20452,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_19935,c_5756]) ).
tcf(c_20455,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_20452,c_5741]) ).
tcf(c_20469,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19958,c_15021]) ).
tcf(c_20470,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_19958,c_105]) ).
tcf(c_20507,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12719,c_15021]) ).
tcf(c_20509,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12719,c_2682]) ).
tcf(c_20516,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12838,c_15021]) ).
tcf(c_20518,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12838,c_2682]) ).
tcf(c_20524,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1756,c_15241]) ).
tcf(c_20525,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_1063,c_15241]) ).
tcf(c_20526,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4648,c_15241]) ).
tcf(c_20527,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_4474,c_15241]) ).
tcf(c_20528,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_25)),multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_15241,c_15021]) ).
tcf(c_20529,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_25),multiply(X0,X1)) = multiply(multiply(sk_c3,X0),X1),
inference(superposition,[status(thm)],[c_15241,c_105]) ).
tcf(c_20530,plain,
multiply(sk_c3,iPr_def_25) = identity,
inference(superposition,[status(thm)],[c_15241,c_104]) ).
tcf(c_20531,plain,
( ~ iPr_def_11
| ( multiply(sk_c3,sk_c10) != sk_c9 )
| ( inverse(inverse(iPr_def_25)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15241,c_640]) ).
tcf(c_20532,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_25))) != inverse(X0) )
| ( multiply(sk_c3,inverse(X0)) != inverse(inverse(iPr_def_25)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15241,c_638]) ).
tcf(c_20533,plain,
( ~ iPr_def_10
| ( multiply(sk_c3,sk_c11) != sk_c10 )
| ( inverse(inverse(iPr_def_25)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15241,c_641]) ).
tcf(c_20534,plain,
( ~ iPr_def_12
| ( multiply(sk_c3,inverse(inverse(iPr_def_25))) != sk_c11 )
| ( multiply(inverse(inverse(iPr_def_25)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15241,c_639]) ).
tcf(c_20535,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_15241,c_15021]) ).
tcf(c_20536,plain,
multiply(sk_c3,identity) = inverse(iPr_def_25),
inference(superposition,[status(thm)],[c_15241,c_16715]) ).
tcf(c_20545,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( inverse(inverse(iPr_def_25)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20533,c_634]) ).
tcf(c_20560,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1755,c_20530]) ).
tcf(c_20561,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1192,c_20530]) ).
tcf(c_20586,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_4648,c_20530]) ).
tcf(c_20587,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_4474,c_20530]) ).
tcf(c_20588,plain,
multiply(inverse(sk_c3),identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_20530,c_15021]) ).
tcf(c_20589,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_20530,c_105]) ).
tcf(c_20590,plain,
multiply(iPr_def_25,identity) = iPr_def_25,
inference(superposition,[status(thm)],[c_20530,c_2682]) ).
tcf(c_20601,plain,
inverse(iPr_def_25) = sk_c3,
inference(demodulation,[status(thm)],[c_20536,c_16715]) ).
tcf(c_20603,plain,
( ( sk_c3 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1756,c_20601]) ).
tcf(c_20604,plain,
( ( sk_c3 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1063,c_20601]) ).
tcf(c_20609,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4648,c_20601]) ).
tcf(c_20610,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_4474,c_20601]) ).
tcf(c_20612,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_25,sk_c3) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20601,c_639]) ).
tcf(c_20614,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_25) )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) != sk_c11 )
| ( multiply(inverse(iPr_def_25),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20601,c_638]) ).
tcf(c_20619,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(sk_c3,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_20612,c_1208,c_20601]) ).
tcf(c_20623,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c3,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_20614,c_1208,c_20601]) ).
tcf(c_20700,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19175,c_20535]) ).
tcf(c_20701,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19169,c_20535]) ).
tcf(c_20702,plain,
multiply(sk_c3,sk_c11) = iPr_def_26,
inference(superposition,[status(thm)],[c_5985,c_20535]) ).
tcf(c_20705,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4648,c_20535]) ).
tcf(c_20706,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4474,c_20535]) ).
tcf(c_20707,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_20535,c_15021]) ).
tcf(c_20708,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_20535,c_105]) ).
tcf(c_20789,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20560,c_19119]) ).
tcf(c_20790,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20560,c_19114]) ).
tcf(c_20791,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_20560,c_2657]) ).
tcf(c_20805,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20560,c_2683]) ).
tcf(c_20809,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_20560,c_641]) ).
tcf(c_20816,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20560,c_637]) ).
tcf(c_20820,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20560,c_670]) ).
tcf(c_20821,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20560,c_667]) ).
tcf(c_20822,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_20560,c_665]) ).
tcf(c_20823,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_20560,c_1207]) ).
tcf(c_20824,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20560,c_634]) ).
tcf(c_20826,plain,
( ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20560,c_623]) ).
tcf(c_20988,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20561,c_20560]) ).
tcf(c_20989,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20561,c_19119]) ).
tcf(c_20990,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_20561,c_19114]) ).
tcf(c_20991,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_20561,c_2657]) ).
tcf(c_21005,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_20561,c_2683]) ).
tcf(c_21015,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_20561,c_641]) ).
tcf(c_21016,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20561,c_637]) ).
tcf(c_21020,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20561,c_670]) ).
tcf(c_21021,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_20561,c_667]) ).
tcf(c_21022,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_20561,c_665]) ).
tcf(c_21023,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_20561,c_1207]) ).
tcf(c_21024,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20561,c_634]) ).
tcf(c_21026,plain,
( ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20561,c_623]) ).
tcf(c_21177,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20826,c_639]) ).
tcf(c_21179,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20826,c_638]) ).
tcf(c_21196,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21026,c_639]) ).
tcf(c_21198,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21026,c_638]) ).
tcf(c_21264,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20603,c_20364]) ).
tcf(c_21283,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_20603,c_2657]) ).
tcf(c_21285,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20603,c_1665]) ).
tcf(c_21286,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20603,c_1595]) ).
tcf(c_21294,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20603,c_634]) ).
tcf(c_21295,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20603,c_633]) ).
tcf(c_21304,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_21283,c_2683]) ).
tcf(c_21331,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20604,c_20364]) ).
tcf(c_21350,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_20604,c_2657]) ).
tcf(c_21357,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20604,c_1194]) ).
tcf(c_21358,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20604,c_1193]) ).
tcf(c_21361,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20604,c_634]) ).
tcf(c_21362,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20604,c_633]) ).
tcf(c_21371,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_21350,c_2683]) ).
tcf(c_21379,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20988,c_16750]) ).
tcf(c_21380,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_20988,c_16715]) ).
tcf(c_21381,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20988,c_103]) ).
tcf(c_21414,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_20824,c_15021]) ).
tcf(c_21416,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_20824,c_2682]) ).
tcf(c_21439,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21024,c_15021]) ).
tcf(c_21441,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21024,c_2682]) ).
tcf(c_21458,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12691,c_21381]) ).
tcf(c_21459,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4899,c_21381]) ).
tcf(c_21460,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_21381,c_15021]) ).
tcf(c_21461,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_21381,c_105]) ).
tcf(c_21462,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21381,c_640]) ).
tcf(c_21463,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21381,c_638]) ).
tcf(c_21464,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21381,c_641]) ).
tcf(c_21465,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21381,c_639]) ).
tcf(c_21466,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21381,c_2296]) ).
tcf(c_21467,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21381,c_1811]) ).
tcf(c_21468,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21381,c_1501]) ).
tcf(c_21469,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21381,c_1077]) ).
tcf(c_21470,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_21381,c_5997]) ).
tcf(c_21471,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21381,c_12073]) ).
tcf(c_21472,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21381,c_10297]) ).
tcf(c_21473,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_21381,c_8942]) ).
tcf(c_21474,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21381,c_5551]) ).
tcf(c_21476,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21381,c_20361]) ).
tcf(c_21572,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21476,c_20535]) ).
tcf(c_21573,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_21476,c_20530]) ).
tcf(c_21576,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21476,c_20364]) ).
tcf(c_21595,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_21476,c_2657]) ).
tcf(c_21600,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21476,c_1397]) ).
tcf(c_21601,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21476,c_1327]) ).
tcf(c_21604,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21476,c_2682]) ).
tcf(c_21605,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21476,c_1208]) ).
tcf(c_21606,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21476,c_634]) ).
tcf(c_21607,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21476,c_633]) ).
tcf(c_21608,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_21607,c_19364]) ).
tcf(c_21691,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_21608,c_2657]) ).
tcf(c_21697,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_10425]) ).
tcf(c_21706,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1807]) ).
tcf(c_21707,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1750]) ).
tcf(c_21708,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1749]) ).
tcf(c_21709,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1660]) ).
tcf(c_21710,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1631]) ).
tcf(c_21711,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1562]) ).
tcf(c_21715,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21608,c_641]) ).
tcf(c_21716,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1078]) ).
tcf(c_21717,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1065]) ).
tcf(c_21718,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1064]) ).
tcf(c_21719,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1027]) ).
tcf(c_21720,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21608,c_1019]) ).
tcf(c_21722,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21608,c_637]) ).
tcf(c_21726,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_21608,c_667]) ).
tcf(c_21727,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21608,c_665]) ).
tcf(c_21729,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21608,c_634]) ).
tcf(c_21730,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21608,c_623]) ).
tcf(c_21890,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),X0) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_12809,c_15242]) ).
tcf(c_21891,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_23)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_15242,c_15021]) ).
tcf(c_21892,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_23),multiply(X0,X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_15242,c_105]) ).
tcf(c_21893,plain,
multiply(sk_c4,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_15242,c_104]) ).
tcf(c_21894,plain,
( ~ iPr_def_11
| ( multiply(sk_c4,sk_c10) != sk_c9 )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15242,c_640]) ).
tcf(c_21895,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_23))) != inverse(X0) )
| ( multiply(sk_c4,inverse(X0)) != inverse(inverse(iPr_def_23)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15242,c_638]) ).
tcf(c_21896,plain,
( ~ iPr_def_10
| ( multiply(sk_c4,sk_c11) != sk_c10 )
| ( inverse(inverse(iPr_def_23)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15242,c_641]) ).
tcf(c_21897,plain,
( ~ iPr_def_12
| ( multiply(sk_c4,inverse(inverse(iPr_def_23))) != sk_c11 )
| ( multiply(inverse(inverse(iPr_def_23)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15242,c_639]) ).
tcf(c_21898,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_15242,c_15021]) ).
tcf(c_21899,plain,
multiply(sk_c4,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_15242,c_16715]) ).
tcf(c_21905,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_21894,c_632]) ).
tcf(c_21917,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_2150,c_21893]) ).
tcf(c_21918,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1708,c_21893]) ).
tcf(c_21919,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_1427,c_21893]) ).
tcf(c_21920,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1187,c_21893]) ).
tcf(c_21997,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_12809,c_21893]) ).
tcf(c_21998,plain,
multiply(inverse(sk_c4),identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_21893,c_15021]) ).
tcf(c_21999,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_21893,c_105]) ).
tcf(c_22000,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_21893,c_2681]) ).
tcf(c_22003,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = identity ) ),
inference(light_normalisation,[status(thm)],[c_21997,c_13590]) ).
tcf(c_22058,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4350,c_19119]) ).
tcf(c_22059,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4350,c_19114]) ).
tcf(c_22060,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_4350,c_2657]) ).
tcf(c_22074,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4350,c_2683]) ).
tcf(c_22078,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4350,c_1660]) ).
tcf(c_22084,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4350,c_641]) ).
tcf(c_22088,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4350,c_1027]) ).
tcf(c_22089,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4350,c_1019]) ).
tcf(c_22091,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4350,c_637]) ).
tcf(c_22092,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4350,c_677]) ).
tcf(c_22093,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4350,c_675]) ).
tcf(c_22097,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4350,c_1207]) ).
tcf(c_22098,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4350,c_634]) ).
tcf(c_22099,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4350,c_623]) ).
tcf(c_22100,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4350,c_647]) ).
tcf(c_22101,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4350,c_645]) ).
tcf(c_22108,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c3 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_22099,c_20601]) ).
tcf(c_22112,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_22098,c_20530]) ).
tcf(c_22148,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_22060,c_20535]) ).
tcf(c_22327,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4351,c_4350]) ).
tcf(c_22332,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4351,c_19119]) ).
tcf(c_22333,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4351,c_19114]) ).
tcf(c_22334,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_4351,c_2657]) ).
tcf(c_22348,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4351,c_2683]) ).
tcf(c_22352,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4351,c_1660]) ).
tcf(c_22355,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4351,c_1498]) ).
tcf(c_22358,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4351,c_641]) ).
tcf(c_22362,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4351,c_1027]) ).
tcf(c_22363,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4351,c_1019]) ).
tcf(c_22365,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4351,c_637]) ).
tcf(c_22367,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4351,c_675]) ).
tcf(c_22371,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_4351,c_1207]) ).
tcf(c_22372,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4351,c_634]) ).
tcf(c_22374,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4351,c_623]) ).
tcf(c_22375,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4351,c_645]) ).
tcf(c_22483,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4352,c_4351]) ).
tcf(c_22566,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21917,c_15074]) ).
tcf(c_22567,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_21917,c_2662]) ).
tcf(c_22568,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_21917,c_2660]) ).
tcf(c_22569,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_21917,c_2658]) ).
tcf(c_22590,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21917,c_1238]) ).
tcf(c_22593,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21917,c_1157]) ).
tcf(c_22594,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21917,c_1156]) ).
tcf(c_22596,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_21917,c_640]) ).
tcf(c_22603,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21917,c_632]) ).
tcf(c_22604,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21917,c_628]) ).
tcf(c_22606,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21917,c_622]) ).
tcf(c_22614,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_22566,c_19364]) ).
tcf(c_22764,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21918,c_21608]) ).
tcf(c_22767,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21918,c_19119]) ).
tcf(c_22768,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21918,c_19114]) ).
tcf(c_22769,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_21918,c_2657]) ).
tcf(c_22783,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21918,c_2683]) ).
tcf(c_22787,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21918,c_641]) ).
tcf(c_22794,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_24 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21918,c_637]) ).
tcf(c_22798,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21918,c_670]) ).
tcf(c_22799,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_21918,c_667]) ).
tcf(c_22800,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21918,c_665]) ).
tcf(c_22801,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_21918,c_1207]) ).
tcf(c_22802,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21918,c_634]) ).
tcf(c_22804,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21918,c_623]) ).
tcf(c_23038,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21919,c_21918]) ).
tcf(c_23041,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21919,c_21608]) ).
tcf(c_23043,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21919,c_20561]) ).
tcf(c_23044,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21919,c_20560]) ).
tcf(c_23045,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21919,c_19119]) ).
tcf(c_23046,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21919,c_19114]) ).
tcf(c_23047,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_21919,c_2657]) ).
tcf(c_23058,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21919,c_2683]) ).
tcf(c_23065,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21919,c_641]) ).
tcf(c_23072,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_24 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21919,c_637]) ).
tcf(c_23076,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_21919,c_1207]) ).
tcf(c_23077,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21919,c_634]) ).
tcf(c_23079,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21919,c_623]) ).
tcf(c_23163,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21920,c_21919]) ).
tcf(c_23164,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21920,c_21918]) ).
tcf(c_23170,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21920,c_19119]) ).
tcf(c_23171,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21920,c_19114]) ).
tcf(c_23172,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_21920,c_2657]) ).
tcf(c_23186,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21920,c_2683]) ).
tcf(c_23196,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21920,c_641]) ).
tcf(c_23197,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_24 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21920,c_637]) ).
tcf(c_23204,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_21920,c_1207]) ).
tcf(c_23205,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21920,c_634]) ).
tcf(c_23207,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21920,c_623]) ).
tcf(c_23243,plain,
inverse(iPr_def_23) = sk_c4,
inference(demodulation,[status(thm)],[c_21899,c_16715]) ).
tcf(c_23245,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_12809,c_23243]) ).
tcf(c_23247,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_23,sk_c4) != sk_c11 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23243,c_639]) ).
tcf(c_23249,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) != sk_c11 )
| ( multiply(inverse(iPr_def_23),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23243,c_638]) ).
tcf(c_23252,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(sk_c4,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_23247,c_1209,c_23243]) ).
tcf(c_23256,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != iPr_def_24 )
| ( sk_c11 != identity )
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_23249,c_632,c_1209,c_23243]) ).
tcf(c_23263,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2153,c_21898]) ).
tcf(c_23264,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1711,c_21898]) ).
tcf(c_23265,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1430,c_21898]) ).
tcf(c_23266,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1039,c_21898]) ).
tcf(c_23268,plain,
multiply(sk_c4,sk_c10) = iPr_def_24,
inference(superposition,[status(thm)],[c_5741,c_21898]) ).
tcf(c_23271,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12809,c_21898]) ).
tcf(c_23272,plain,
! [X0: $i] : multiply(inverse(sk_c4),X0) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_21898,c_15021]) ).
tcf(c_23273,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_23,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_21898,c_105]) ).
tcf(c_23275,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_23266,c_13590]) ).
tcf(c_23278,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_23265,c_13590]) ).
tcf(c_23281,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_23264,c_13590]) ).
tcf(c_23284,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_23263,c_13590]) ).
tcf(c_23287,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23271,c_14423]) ).
tcf(c_23434,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_19174]) ).
tcf(c_23435,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_19173]) ).
tcf(c_23436,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_19172]) ).
tcf(c_23442,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_22483,c_5599]) ).
tcf(c_23453,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_22483,c_1464]) ).
tcf(c_23454,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_1463]) ).
tcf(c_23455,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_22483,c_1397]) ).
tcf(c_23456,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_1396]) ).
tcf(c_23457,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_22483,c_1327]) ).
tcf(c_23458,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_1326]) ).
tcf(c_23465,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22483,c_1466]) ).
tcf(c_23466,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22483,c_1399]) ).
tcf(c_23467,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22483,c_1329]) ).
tcf(c_23468,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_22483,c_5304]) ).
tcf(c_23587,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4482,c_19119]) ).
tcf(c_23588,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4482,c_19114]) ).
tcf(c_23589,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_4482,c_2657]) ).
tcf(c_23603,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4482,c_2683]) ).
tcf(c_23605,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4482,c_1750]) ).
tcf(c_23606,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4482,c_1749]) ).
tcf(c_23613,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4482,c_641]) ).
tcf(c_23615,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4482,c_1065]) ).
tcf(c_23616,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4482,c_1064]) ).
tcf(c_23618,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4482,c_1019]) ).
tcf(c_23620,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4482,c_637]) ).
tcf(c_23621,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4482,c_677]) ).
tcf(c_23622,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4482,c_675]) ).
tcf(c_23626,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4482,c_1207]) ).
tcf(c_23627,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4482,c_634]) ).
tcf(c_23628,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4482,c_623]) ).
tcf(c_23629,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4482,c_647]) ).
tcf(c_23630,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4482,c_645]) ).
tcf(c_23643,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c3 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_23628,c_20601]) ).
tcf(c_23647,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_23627,c_20530]) ).
tcf(c_23683,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_23589,c_20535]) ).
tcf(c_23845,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4483,c_4482]) ).
tcf(c_23927,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = multiply(iPr_def_23,sk_c9) ) ),
inference(superposition,[status(thm)],[c_16715,c_4296]) ).
tcf(c_23928,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_689,c_4296]) ).
tcf(c_23929,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_679,c_4296]) ).
tcf(c_23930,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_669,c_4296]) ).
tcf(c_23931,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_659,c_4296]) ).
tcf(c_23932,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_649,c_4296]) ).
tcf(c_23933,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_14,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4296,c_15021]) ).
tcf(c_23934,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_4296,c_105]) ).
tcf(c_23935,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_4296,c_21898]) ).
tcf(c_23938,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(sk_c9,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23935,c_14423]) ).
tcf(c_23941,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23932,c_5756]) ).
tcf(c_23949,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_23929,c_5756]) ).
tcf(c_24004,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_22804,c_639]) ).
tcf(c_24006,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_22804,c_638]) ).
tcf(c_24037,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23079,c_639]) ).
tcf(c_24039,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23079,c_638]) ).
tcf(c_24056,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23207,c_639]) ).
tcf(c_24058,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23207,c_638]) ).
tcf(c_24074,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22603,c_15021]) ).
tcf(c_24076,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22603,c_2681]) ).
tcf(c_24083,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20988,c_23038]) ).
tcf(c_24085,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23038,c_16750]) ).
tcf(c_24086,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_23038,c_16715]) ).
tcf(c_24087,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23038,c_103]) ).
tcf(c_24103,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20988,c_23163]) ).
tcf(c_24105,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23163,c_16750]) ).
tcf(c_24106,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_23163,c_16715]) ).
tcf(c_24107,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23163,c_103]) ).
tcf(c_24123,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_20988,c_23164]) ).
tcf(c_24125,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23164,c_16750]) ).
tcf(c_24126,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_23164,c_16715]) ).
tcf(c_24127,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23164,c_103]) ).
tcf(c_24193,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_19174]) ).
tcf(c_24194,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_19173]) ).
tcf(c_24195,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_19172]) ).
tcf(c_24201,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_23845,c_5599]) ).
tcf(c_24212,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23845,c_1464]) ).
tcf(c_24213,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_1463]) ).
tcf(c_24214,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23845,c_1397]) ).
tcf(c_24215,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_1396]) ).
tcf(c_24216,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_23845,c_1327]) ).
tcf(c_24217,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_1326]) ).
tcf(c_24224,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23845,c_1466]) ).
tcf(c_24225,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23845,c_1399]) ).
tcf(c_24226,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23845,c_1329]) ).
tcf(c_24227,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_23845,c_5304]) ).
tcf(c_24331,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4657,c_19119]) ).
tcf(c_24332,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4657,c_19114]) ).
tcf(c_24333,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_4657,c_2657]) ).
tcf(c_24347,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4657,c_2683]) ).
tcf(c_24349,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4657,c_1750]) ).
tcf(c_24357,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4657,c_641]) ).
tcf(c_24359,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4657,c_1065]) ).
tcf(c_24362,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4657,c_1019]) ).
tcf(c_24364,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4657,c_637]) ).
tcf(c_24366,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4657,c_675]) ).
tcf(c_24370,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_4657,c_1207]) ).
tcf(c_24371,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4657,c_634]) ).
tcf(c_24372,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4657,c_623]) ).
tcf(c_24374,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4657,c_645]) ).
tcf(c_24387,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c3 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_24372,c_20601]) ).
tcf(c_24391,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_24371,c_20530]) ).
tcf(c_24411,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_24333,c_20535]) ).
tcf(c_24503,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4658,c_4657]) ).
tcf(c_24511,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4658,c_19119]) ).
tcf(c_24512,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_4658,c_19114]) ).
tcf(c_24513,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_4658,c_2657]) ).
tcf(c_24527,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4658,c_2683]) ).
tcf(c_24529,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4658,c_1750]) ).
tcf(c_24534,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4658,c_1498]) ).
tcf(c_24537,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_4658,c_641]) ).
tcf(c_24539,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4658,c_1065]) ).
tcf(c_24542,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4658,c_1019]) ).
tcf(c_24544,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4658,c_637]) ).
tcf(c_24550,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_4658,c_1207]) ).
tcf(c_24551,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4658,c_634]) ).
tcf(c_24553,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4658,c_623]) ).
tcf(c_24769,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_4659,c_4657]) ).
tcf(c_24851,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22604,c_15021]) ).
tcf(c_24853,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_22604,c_2661]) ).
tcf(c_24854,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_22604,c_2659]) ).
tcf(c_24856,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_24854,c_13757]) ).
tcf(c_24859,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_24853,c_14243]) ).
tcf(c_24881,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22802,c_15021]) ).
tcf(c_24883,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22802,c_2682]) ).
tcf(c_24908,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_23077,c_15021]) ).
tcf(c_24910,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_23077,c_2682]) ).
tcf(c_24920,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24123,c_20364]) ).
tcf(c_24921,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_24123,c_20361]) ).
tcf(c_24922,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_24,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_24123,c_5997]) ).
tcf(c_24923,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_12073]) ).
tcf(c_24924,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_11600]) ).
tcf(c_24925,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_11116]) ).
tcf(c_24926,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_10297]) ).
tcf(c_24927,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_9975]) ).
tcf(c_24928,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_9784]) ).
tcf(c_24929,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_8942]) ).
tcf(c_24930,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_8576]) ).
tcf(c_24931,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_8348]) ).
tcf(c_24932,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_7137]) ).
tcf(c_24933,plain,
( ( iPr_def_14 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24123,c_12691]) ).
tcf(c_24934,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_7083]) ).
tcf(c_24935,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_5551]) ).
tcf(c_24936,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_2296]) ).
tcf(c_24937,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_2295]) ).
tcf(c_24938,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24123,c_2294]) ).
tcf(c_24939,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_1811]) ).
tcf(c_24940,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_1810]) ).
tcf(c_24941,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24123,c_1809]) ).
tcf(c_24942,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_1501]) ).
tcf(c_24943,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_1500]) ).
tcf(c_24944,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24123,c_1499]) ).
tcf(c_24945,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24123,c_1186]) ).
tcf(c_24946,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24123,c_4899]) ).
tcf(c_24947,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_1160]) ).
tcf(c_24948,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_24123,c_5985]) ).
tcf(c_24949,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_1077]) ).
tcf(c_25144,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c11) )
| ( inverse(X0) != inverse(sk_c11) ) ),
inference(instantiation,[status(thm)],[c_7181]) ).
tcf(c_25145,plain,
( ( inverse(sk_c11) = iPr_def_15 )
| ( iPr_def_15 != inverse(sk_c11) )
| ( inverse(sk_c11) != inverse(sk_c11) ) ),
inference(instantiation,[status(thm)],[c_25144]) ).
tcf(c_25178,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_19174]) ).
tcf(c_25179,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_19173]) ).
tcf(c_25180,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_19172]) ).
tcf(c_25186,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_24769,c_5599]) ).
tcf(c_25197,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_24769,c_1464]) ).
tcf(c_25198,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_1463]) ).
tcf(c_25199,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_24769,c_1397]) ).
tcf(c_25200,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_1396]) ).
tcf(c_25201,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_24769,c_1327]) ).
tcf(c_25202,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_1326]) ).
tcf(c_25209,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24769,c_1466]) ).
tcf(c_25210,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24769,c_1399]) ).
tcf(c_25211,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24769,c_1329]) ).
tcf(c_25212,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_24769,c_5304]) ).
tcf(c_25293,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24933,c_19958]) ).
tcf(c_25294,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_19935]) ).
tcf(c_25296,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24933,c_18232]) ).
tcf(c_25297,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_18209]) ).
tcf(c_25299,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24933,c_17929]) ).
tcf(c_25300,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_17890]) ).
tcf(c_25302,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_24933,c_5756]) ).
tcf(c_25303,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_12073]) ).
tcf(c_25304,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_10297]) ).
tcf(c_25305,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_8942]) ).
tcf(c_25306,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_5551]) ).
tcf(c_25307,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_2192]) ).
tcf(c_25308,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24933,c_2191]) ).
tcf(c_25309,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_1723]) ).
tcf(c_25310,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24933,c_1722]) ).
tcf(c_25311,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_1451]) ).
tcf(c_25312,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24933,c_1450]) ).
tcf(c_25313,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_1238]) ).
tcf(c_25314,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24933,c_1237]) ).
tcf(c_25315,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24933,c_1149]) ).
tcf(c_25316,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_14) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24933,c_5741]) ).
tcf(c_25317,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24933,c_1040]) ).
tcf(c_25537,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24946,c_19958]) ).
tcf(c_25538,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_19935]) ).
tcf(c_25539,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_19924]) ).
tcf(c_25540,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24946,c_18232]) ).
tcf(c_25541,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_18209]) ).
tcf(c_25542,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_18201]) ).
tcf(c_25543,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24946,c_17929]) ).
tcf(c_25544,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_17890]) ).
tcf(c_25545,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_17881]) ).
tcf(c_25546,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_24946,c_5756]) ).
tcf(c_25547,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_12073]) ).
tcf(c_25548,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_10297]) ).
tcf(c_25549,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_8942]) ).
tcf(c_25550,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_5551]) ).
tcf(c_25551,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_2192]) ).
tcf(c_25552,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24946,c_2191]) ).
tcf(c_25553,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_1723]) ).
tcf(c_25554,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24946,c_1722]) ).
tcf(c_25555,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_1451]) ).
tcf(c_25556,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24946,c_1450]) ).
tcf(c_25557,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_1238]) ).
tcf(c_25558,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24946,c_1237]) ).
tcf(c_25559,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24946,c_1149]) ).
tcf(c_25560,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24946,c_5741]) ).
tcf(c_25561,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24946,c_1040]) ).
tcf(c_25757,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23205,c_15021]) ).
tcf(c_25759,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23205,c_2682]) ).
tcf(c_25772,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24087,c_15021]) ).
tcf(c_25773,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_24087,c_105]) ).
tcf(c_25774,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24087,c_640]) ).
tcf(c_25775,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24087,c_638]) ).
tcf(c_25776,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24087,c_641]) ).
tcf(c_25777,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24087,c_639]) ).
tcf(c_25778,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_24087,c_5756]) ).
tcf(c_25779,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24087,c_19924]) ).
tcf(c_25780,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24087,c_18201]) ).
tcf(c_25781,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_24087,c_17881]) ).
tcf(c_25830,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24107,c_15021]) ).
tcf(c_25831,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_24107,c_105]) ).
tcf(c_25832,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24107,c_640]) ).
tcf(c_25833,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24107,c_638]) ).
tcf(c_25834,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24107,c_641]) ).
tcf(c_25835,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24107,c_639]) ).
tcf(c_25836,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_24107,c_5756]) ).
tcf(c_25837,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24107,c_19924]) ).
tcf(c_25838,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24107,c_18201]) ).
tcf(c_25839,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_24107,c_17881]) ).
tcf(c_25911,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24127,c_15021]) ).
tcf(c_25912,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_24127,c_105]) ).
tcf(c_25913,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_24127,c_640]) ).
tcf(c_25914,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24127,c_638]) ).
tcf(c_25915,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24127,c_641]) ).
tcf(c_25916,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24127,c_639]) ).
tcf(c_25917,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_24127,c_5756]) ).
tcf(c_25918,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_24127,c_19924]) ).
tcf(c_25919,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24127,c_18201]) ).
tcf(c_25920,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_24127,c_17881]) ).
tcf(c_26091,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_4197,c_15243]) ).
tcf(c_26092,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_21)),multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_15243,c_15021]) ).
tcf(c_26093,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_21),multiply(X0,X1)) = multiply(multiply(sk_c5,X0),X1),
inference(superposition,[status(thm)],[c_15243,c_105]) ).
tcf(c_26094,plain,
multiply(sk_c5,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_15243,c_104]) ).
tcf(c_26095,plain,
( ~ iPr_def_11
| ( multiply(sk_c5,sk_c10) != sk_c9 )
| ( inverse(inverse(iPr_def_21)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15243,c_640]) ).
tcf(c_26096,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_21))) != inverse(X0) )
| ( multiply(sk_c5,inverse(X0)) != inverse(inverse(iPr_def_21)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15243,c_638]) ).
tcf(c_26097,plain,
( ~ iPr_def_10
| ( multiply(sk_c5,sk_c11) != sk_c10 )
| ( inverse(inverse(iPr_def_21)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15243,c_641]) ).
tcf(c_26098,plain,
( ~ iPr_def_12
| ( multiply(sk_c5,inverse(inverse(iPr_def_21))) != sk_c11 )
| ( multiply(inverse(inverse(iPr_def_21)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15243,c_639]) ).
tcf(c_26099,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_15243,c_15021]) ).
tcf(c_26100,plain,
multiply(sk_c5,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_15243,c_16715]) ).
tcf(c_26101,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,X0) = multiply(sk_c6,X0) ) ),
inference(light_normalisation,[status(thm)],[c_26091,c_15245]) ).
tcf(c_26118,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_2054,c_26094]) ).
tcf(c_26119,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1633,c_26094]) ).
tcf(c_26120,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_1376,c_26094]) ).
tcf(c_26121,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1176,c_26094]) ).
tcf(c_26122,plain,
( ( identity = iPr_def_22 )
| ( sk_c2 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1174,c_26094]) ).
tcf(c_26161,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_4197,c_26094]) ).
tcf(c_26162,plain,
multiply(inverse(sk_c5),identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_26094,c_15021]) ).
tcf(c_26163,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_21,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_26094,c_105]) ).
tcf(c_26164,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(superposition,[status(thm)],[c_26094,c_2680]) ).
tcf(c_26169,plain,
inverse(iPr_def_21) = sk_c5,
inference(demodulation,[status(thm)],[c_26100,c_16715]) ).
tcf(c_26171,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_18) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_4197,c_26169]) ).
tcf(c_26173,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_21,sk_c5) != sk_c11 )
| ( multiply(inverse(iPr_def_21),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26169,c_639]) ).
tcf(c_26175,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_21) )
| ( multiply(iPr_def_21,inverse(iPr_def_21)) != sk_c11 )
| ( multiply(inverse(iPr_def_21),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26169,c_638]) ).
tcf(c_26178,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(sk_c5,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_26173,c_1210,c_26169]) ).
tcf(c_26182,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c5,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_26175,c_1210,c_26169]) ).
tcf(c_26212,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_2055,c_26099]) ).
tcf(c_26213,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1634,c_26099]) ).
tcf(c_26214,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1377,c_26099]) ).
tcf(c_26215,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1158,c_26099]) ).
tcf(c_26216,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1156,c_26099]) ).
tcf(c_26217,plain,
multiply(sk_c5,identity) = sk_c5,
inference(superposition,[status(thm)],[c_1210,c_26099]) ).
tcf(c_26218,plain,
multiply(sk_c5,sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_5696,c_26099]) ).
tcf(c_26220,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11600,c_26099]) ).
tcf(c_26221,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9975,c_26099]) ).
tcf(c_26222,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8576,c_26099]) ).
tcf(c_26223,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7083,c_26099]) ).
tcf(c_26224,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11602,c_26099]) ).
tcf(c_26225,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9976,c_26099]) ).
tcf(c_26226,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8577,c_26099]) ).
tcf(c_26227,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7084,c_26099]) ).
tcf(c_26229,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4197,c_26099]) ).
tcf(c_26230,plain,
! [X0: $i] : multiply(inverse(sk_c5),X0) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_26099,c_15021]) ).
tcf(c_26231,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(iPr_def_21,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_26099,c_105]) ).
tcf(c_26233,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_26227,c_13757]) ).
tcf(c_26236,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_26226,c_13757]) ).
tcf(c_26239,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_26225,c_13757]) ).
tcf(c_26242,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_26224,c_13757]) ).
tcf(c_26245,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_26223,c_13757]) ).
tcf(c_26248,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_26222,c_13757]) ).
tcf(c_26251,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_26221,c_13757]) ).
tcf(c_26254,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_26220,c_13757]) ).
tcf(c_26257,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_26216,c_13757]) ).
tcf(c_26260,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_26215,c_13757]) ).
tcf(c_26263,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_26214,c_13757]) ).
tcf(c_26266,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_26213,c_13757]) ).
tcf(c_26269,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_26212,c_13757]) ).
tcf(c_26356,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26118,c_15074]) ).
tcf(c_26357,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_26118,c_2662]) ).
tcf(c_26358,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_26118,c_2660]) ).
tcf(c_26359,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_26118,c_2658]) ).
tcf(c_26386,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_26118,c_640]) ).
tcf(c_26393,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26118,c_632]) ).
tcf(c_26394,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26118,c_628]) ).
tcf(c_26396,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26118,c_622]) ).
tcf(c_26404,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_26356,c_19364]) ).
tcf(c_26481,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26119,c_21608]) ).
tcf(c_26484,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26119,c_19119]) ).
tcf(c_26485,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26119,c_19114]) ).
tcf(c_26486,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_26119,c_2657]) ).
tcf(c_26500,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26119,c_2683]) ).
tcf(c_26504,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26119,c_641]) ).
tcf(c_26511,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26119,c_637]) ).
tcf(c_26515,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26119,c_670]) ).
tcf(c_26516,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26119,c_667]) ).
tcf(c_26517,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_26119,c_665]) ).
tcf(c_26518,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_26119,c_1207]) ).
tcf(c_26519,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26119,c_634]) ).
tcf(c_26521,plain,
( ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26119,c_623]) ).
tcf(c_26621,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26120,c_26119]) ).
tcf(c_26624,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26120,c_21608]) ).
tcf(c_26626,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26120,c_20561]) ).
tcf(c_26627,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26120,c_20560]) ).
tcf(c_26628,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26120,c_19119]) ).
tcf(c_26629,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26120,c_19114]) ).
tcf(c_26630,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_26120,c_2657]) ).
tcf(c_26641,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26120,c_2683]) ).
tcf(c_26648,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26120,c_641]) ).
tcf(c_26655,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_22 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26120,c_637]) ).
tcf(c_26659,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_26120,c_1207]) ).
tcf(c_26660,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26120,c_634]) ).
tcf(c_26662,plain,
( ( identity = iPr_def_22 )
| ( inverse(iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26120,c_623]) ).
tcf(c_26848,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26121,c_26120]) ).
tcf(c_26849,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26121,c_26119]) ).
tcf(c_26855,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26121,c_19119]) ).
tcf(c_26856,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_26121,c_19114]) ).
tcf(c_26857,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_26121,c_2657]) ).
tcf(c_26871,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_26121,c_2683]) ).
tcf(c_26881,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_26121,c_641]) ).
tcf(c_26882,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_22 )
| ( iPr_def_14 != iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26121,c_637]) ).
tcf(c_26889,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_26121,c_1207]) ).
tcf(c_26890,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26121,c_634]) ).
tcf(c_26892,plain,
( ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26121,c_623]) ).
tcf(c_26976,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26122,c_15076]) ).
tcf(c_26977,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_26122,c_2664]) ).
tcf(c_26978,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_26122,c_2663]) ).
tcf(c_26984,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26122,c_636]) ).
tcf(c_26985,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26122,c_625]) ).
tcf(c_27012,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26621,c_23163]) ).
tcf(c_27013,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26621,c_23038]) ).
tcf(c_27014,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26621,c_20988]) ).
tcf(c_27015,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26621,c_16750]) ).
tcf(c_27016,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_26621,c_16715]) ).
tcf(c_27017,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26621,c_103]) ).
tcf(c_27035,plain,
( ( iPr_def_23 = sk_c10 )
| ( iPr_def_23 != iPr_def_23 )
| ( sk_c10 != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_7117]) ).
tcf(c_27036,plain,
iPr_def_23 = iPr_def_23,
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_27054,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26848,c_23163]) ).
tcf(c_27056,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26848,c_20988]) ).
tcf(c_27057,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26848,c_16750]) ).
tcf(c_27058,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_26848,c_16715]) ).
tcf(c_27059,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26848,c_103]) ).
tcf(c_27111,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26521,c_639]) ).
tcf(c_27113,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26521,c_638]) ).
tcf(c_27126,plain,
( ( iPr_def_26 = sk_c10 )
| ( iPr_def_26 != iPr_def_26 )
| ( sk_c10 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_7187]) ).
tcf(c_27127,plain,
iPr_def_26 = iPr_def_26,
inference(instantiation,[status(thm)],[c_692]) ).
tcf(c_27157,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26662,c_639]) ).
tcf(c_27159,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26662,c_638]) ).
tcf(c_27176,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26892,c_639]) ).
tcf(c_27178,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_26892,c_638]) ).
tcf(c_27194,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26393,c_15021]) ).
tcf(c_27196,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26393,c_2681]) ).
tcf(c_27207,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26849,c_23164]) ).
tcf(c_27210,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26849,c_20988]) ).
tcf(c_27211,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26849,c_16750]) ).
tcf(c_27212,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_16715]) ).
tcf(c_27213,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26849,c_103]) ).
tcf(c_27309,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_19174]) ).
tcf(c_27310,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_19173]) ).
tcf(c_27311,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_19172]) ).
tcf(c_27317,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_27013,c_5599]) ).
tcf(c_27318,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_3925]) ).
tcf(c_27321,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27013,c_3926]) ).
tcf(c_27328,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27013,c_1464]) ).
tcf(c_27329,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_1463]) ).
tcf(c_27330,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27013,c_1397]) ).
tcf(c_27331,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_1396]) ).
tcf(c_27332,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27013,c_1327]) ).
tcf(c_27333,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_1326]) ).
tcf(c_27334,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27013,c_3928]) ).
tcf(c_27340,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27013,c_1466]) ).
tcf(c_27341,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27013,c_1399]) ).
tcf(c_27342,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27013,c_1329]) ).
tcf(c_27343,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_27013,c_5304]) ).
tcf(c_27460,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_19174]) ).
tcf(c_27461,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_19173]) ).
tcf(c_27462,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_19172]) ).
tcf(c_27465,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_27054,c_5599]) ).
tcf(c_27466,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_3925]) ).
tcf(c_27469,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27054,c_3926]) ).
tcf(c_27476,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27054,c_1464]) ).
tcf(c_27477,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_1463]) ).
tcf(c_27478,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27054,c_1397]) ).
tcf(c_27479,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_1396]) ).
tcf(c_27480,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27054,c_1327]) ).
tcf(c_27481,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_1326]) ).
tcf(c_27482,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27054,c_3928]) ).
tcf(c_27488,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27054,c_1466]) ).
tcf(c_27489,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27054,c_1399]) ).
tcf(c_27490,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27054,c_1329]) ).
tcf(c_27491,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_27054,c_5304]) ).
tcf(c_27629,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27207,c_24946]) ).
tcf(c_27630,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27207,c_24933]) ).
tcf(c_27631,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27207,c_19958]) ).
tcf(c_27632,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27207,c_19935]) ).
tcf(c_27633,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27207,c_19924]) ).
tcf(c_27634,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27207,c_18232]) ).
tcf(c_27635,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27207,c_18209]) ).
tcf(c_27636,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27207,c_18201]) ).
tcf(c_27637,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27207,c_17929]) ).
tcf(c_27638,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27207,c_17890]) ).
tcf(c_27639,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27207,c_17881]) ).
tcf(c_27640,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_22,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_27207,c_5756]) ).
tcf(c_27641,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_12073]) ).
tcf(c_27642,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_10297]) ).
tcf(c_27643,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_8942]) ).
tcf(c_27644,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_5551]) ).
tcf(c_27645,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_2192]) ).
tcf(c_27646,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27207,c_2191]) ).
tcf(c_27647,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_1723]) ).
tcf(c_27648,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27207,c_1722]) ).
tcf(c_27649,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_1451]) ).
tcf(c_27650,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27207,c_1450]) ).
tcf(c_27651,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_1238]) ).
tcf(c_27652,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27207,c_1237]) ).
tcf(c_27653,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27207,c_1149]) ).
tcf(c_27654,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_22) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27207,c_5741]) ).
tcf(c_27655,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27207,c_1040]) ).
tcf(c_28017,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1211,c_5620]) ).
tcf(c_28018,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2679,c_5620]) ).
tcf(c_28019,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5677,c_5620]) ).
tcf(c_28020,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5694,c_5620]) ).
tcf(c_28023,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5620,c_15021]) ).
tcf(c_28024,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5620,c_105]) ).
tcf(c_28031,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28023,c_15245]) ).
tcf(c_28047,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5621,c_15021]) ).
tcf(c_28048,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5621,c_105]) ).
tcf(c_28049,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28047,c_15245]) ).
tcf(c_28060,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1211,c_5622]) ).
tcf(c_28061,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2679,c_5622]) ).
tcf(c_28062,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5677,c_5622]) ).
tcf(c_28063,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5694,c_5622]) ).
tcf(c_28066,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5622,c_15021]) ).
tcf(c_28067,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5622,c_105]) ).
tcf(c_28074,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28066,c_15245]) ).
tcf(c_28145,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26394,c_15021]) ).
tcf(c_28147,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26394,c_2661]) ).
tcf(c_28148,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_26394,c_2659]) ).
tcf(c_28150,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_28148,c_13757]) ).
tcf(c_28153,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_28147,c_14243]) ).
tcf(c_28175,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26519,c_15021]) ).
tcf(c_28177,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26519,c_2682]) ).
tcf(c_28205,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26660,c_15021]) ).
tcf(c_28207,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26660,c_2682]) ).
tcf(c_28219,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27210,c_20364]) ).
tcf(c_28220,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_27210,c_20361]) ).
tcf(c_28221,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_22,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_27210,c_5997]) ).
tcf(c_28222,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_12073]) ).
tcf(c_28223,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_11600]) ).
tcf(c_28224,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_11116]) ).
tcf(c_28225,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_10297]) ).
tcf(c_28226,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_9975]) ).
tcf(c_28227,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_9784]) ).
tcf(c_28228,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_8942]) ).
tcf(c_28229,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_8576]) ).
tcf(c_28230,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_8348]) ).
tcf(c_28231,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_7137]) ).
tcf(c_28233,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_7083]) ).
tcf(c_28234,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_5551]) ).
tcf(c_28235,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_2296]) ).
tcf(c_28236,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_2295]) ).
tcf(c_28237,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27210,c_2294]) ).
tcf(c_28238,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_1811]) ).
tcf(c_28239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_1810]) ).
tcf(c_28240,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27210,c_1809]) ).
tcf(c_28241,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_1501]) ).
tcf(c_28242,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_1500]) ).
tcf(c_28243,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27210,c_1499]) ).
tcf(c_28244,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27210,c_1186]) ).
tcf(c_28246,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_1160]) ).
tcf(c_28247,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_22) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_27210,c_5985]) ).
tcf(c_28248,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_1077]) ).
tcf(c_28294,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_28233,c_5696]) ).
tcf(c_28304,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_28229,c_5696]) ).
tcf(c_28314,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_28226,c_5696]) ).
tcf(c_28324,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_28223,c_5696]) ).
tcf(c_28381,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_27629,c_4296]) ).
tcf(c_28382,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27629,c_21898]) ).
tcf(c_28383,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_27629,c_23243]) ).
tcf(c_28384,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27629,c_21893]) ).
tcf(c_28385,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_27629,c_5756]) ).
tcf(c_28402,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27629,c_5741]) ).
tcf(c_28403,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27629,c_2681]) ).
tcf(c_28405,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_27629,c_1209]) ).
tcf(c_28466,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27630,c_19176]) ).
tcf(c_28467,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_27630,c_19170]) ).
tcf(c_28468,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_14,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_27630,c_5730]) ).
tcf(c_28469,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27630,c_1665]) ).
tcf(c_28470,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27630,c_1664]) ).
tcf(c_28471,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27630,c_1215]) ).
tcf(c_28472,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27630,c_1193]) ).
tcf(c_28473,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27630,c_4343]) ).
tcf(c_28474,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27630,c_1667]) ).
tcf(c_28475,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_14) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_27630,c_5696]) ).
tcf(c_28476,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27630,c_1045]) ).
tcf(c_28559,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_14) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_15072]) ).
tcf(c_28560,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_14) = multiply(iPr_def_16,sk_c10) ) ),
inference(superposition,[status(thm)],[c_28473,c_14243]) ).
tcf(c_28561,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_14) = multiply(iPr_def_22,sk_c10) ) ),
inference(superposition,[status(thm)],[c_28473,c_13757]) ).
tcf(c_28579,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5623,c_15021]) ).
tcf(c_28580,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5623,c_105]) ).
tcf(c_28581,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28579,c_15245]) ).
tcf(c_28609,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1211,c_5624]) ).
tcf(c_28610,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2679,c_5624]) ).
tcf(c_28611,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5677,c_5624]) ).
tcf(c_28612,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5694,c_5624]) ).
tcf(c_28615,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5624,c_15021]) ).
tcf(c_28616,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5624,c_105]) ).
tcf(c_28623,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28615,c_15245]) ).
tcf(c_28713,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5625,c_15021]) ).
tcf(c_28714,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5625,c_105]) ).
tcf(c_28715,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28713,c_15245]) ).
tcf(c_28760,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1211,c_5626]) ).
tcf(c_28761,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2679,c_5626]) ).
tcf(c_28762,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5677,c_5626]) ).
tcf(c_28763,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5694,c_5626]) ).
tcf(c_28766,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5626,c_15021]) ).
tcf(c_28767,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5626,c_105]) ).
tcf(c_28774,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28766,c_15245]) ).
tcf(c_28851,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5627,c_15021]) ).
tcf(c_28852,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5627,c_105]) ).
tcf(c_28853,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28851,c_15245]) ).
tcf(c_28959,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1211,c_5628]) ).
tcf(c_28960,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_2679,c_5628]) ).
tcf(c_28961,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_5677,c_5628]) ).
tcf(c_28962,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5694,c_5628]) ).
tcf(c_28965,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5628,c_15021]) ).
tcf(c_28966,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5628,c_105]) ).
tcf(c_28973,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_19,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28965,c_15245]) ).
tcf(c_28989,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_18),X0) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_5629,c_15021]) ).
tcf(c_28990,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5629,c_105]) ).
tcf(c_28991,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_28989,c_15245]) ).
tcf(c_29002,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1208,c_6014]) ).
tcf(c_29004,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19175,c_6014]) ).
tcf(c_29005,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19169,c_6014]) ).
tcf(c_29011,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6014,c_15021]) ).
tcf(c_29012,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6014,c_105]) ).
tcf(c_29013,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6014,c_19119]) ).
tcf(c_29032,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26890,c_15021]) ).
tcf(c_29034,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26890,c_2682]) ).
tcf(c_29041,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26984,c_15021]) ).
tcf(c_29043,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_26984,c_2677]) ).
tcf(c_29065,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4343,c_27017]) ).
tcf(c_29066,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27017,c_15021]) ).
tcf(c_29067,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_27017,c_105]) ).
tcf(c_29068,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_27017,c_640]) ).
tcf(c_29069,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27017,c_638]) ).
tcf(c_29070,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27017,c_641]) ).
tcf(c_29071,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27017,c_639]) ).
tcf(c_29072,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_27017,c_5730]) ).
tcf(c_29073,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27017,c_19176]) ).
tcf(c_29074,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27017,c_19170]) ).
tcf(c_29156,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_4073,c_15244]) ).
tcf(c_29157,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_19)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_15244,c_15021]) ).
tcf(c_29158,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_19),multiply(X0,X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_15244,c_105]) ).
tcf(c_29159,plain,
multiply(sk_c7,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_15244,c_104]) ).
tcf(c_29160,plain,
( ~ iPr_def_11
| ( multiply(sk_c7,sk_c10) != sk_c9 )
| ( inverse(inverse(iPr_def_19)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15244,c_640]) ).
tcf(c_29161,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_19))) != inverse(X0) )
| ( multiply(sk_c7,inverse(X0)) != inverse(inverse(iPr_def_19)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15244,c_638]) ).
tcf(c_29162,plain,
( ~ iPr_def_10
| ( multiply(sk_c7,sk_c11) != sk_c10 )
| ( inverse(inverse(iPr_def_19)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15244,c_641]) ).
tcf(c_29163,plain,
( ~ iPr_def_12
| ( multiply(sk_c7,inverse(inverse(iPr_def_19))) != sk_c11 )
| ( multiply(inverse(inverse(iPr_def_19)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15244,c_639]) ).
tcf(c_29164,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_15244,c_15021]) ).
tcf(c_29165,plain,
multiply(sk_c7,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_15244,c_16715]) ).
tcf(c_29239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_4073,c_29159]) ).
tcf(c_29240,plain,
multiply(inverse(sk_c7),identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_29159,c_15021]) ).
tcf(c_29241,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_29159,c_105]) ).
tcf(c_29242,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(superposition,[status(thm)],[c_29159,c_2679]) ).
tcf(c_29247,plain,
inverse(iPr_def_19) = sk_c7,
inference(demodulation,[status(thm)],[c_29165,c_16715]) ).
tcf(c_29249,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1982,c_29247]) ).
tcf(c_29250,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1565,c_29247]) ).
tcf(c_29251,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_1311,c_29247]) ).
tcf(c_29252,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_1111,c_29247]) ).
tcf(c_29253,plain,
( ( sk_c7 = iPr_def_18 )
| ( sk_c11 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_1051,c_29247]) ).
tcf(c_29264,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_4073,c_29247]) ).
tcf(c_29266,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_19,sk_c7) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29247,c_639]) ).
tcf(c_29268,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_19) )
| ( multiply(iPr_def_19,inverse(iPr_def_19)) != sk_c11 )
| ( multiply(inverse(iPr_def_19),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29247,c_638]) ).
tcf(c_29271,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(sk_c7,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_29266,c_1211,c_29247]) ).
tcf(c_29275,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c7,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_29268,c_1211,c_29247]) ).
tcf(c_29282,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm)],[c_1211,c_29164]) ).
tcf(c_29283,plain,
multiply(sk_c7,sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_5677,c_29164]) ).
tcf(c_29286,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4073,c_29164]) ).
tcf(c_29287,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_29164,c_15021]) ).
tcf(c_29288,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_19,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_29164,c_105]) ).
tcf(c_29308,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27017,c_6015]) ).
tcf(c_29312,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27630,c_6015]) ).
tcf(c_29314,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6015,c_15021]) ).
tcf(c_29315,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_22,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6015,c_105]) ).
tcf(c_29316,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6015,c_19119]) ).
tcf(c_29347,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_20) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18224,c_6016]) ).
tcf(c_29350,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18232,c_6016]) ).
tcf(c_29354,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_6016,c_15021]) ).
tcf(c_29355,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6016,c_105]) ).
tcf(c_29356,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_6016,c_19119]) ).
tcf(c_29453,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_6017]) ).
tcf(c_29454,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19173,c_6017]) ).
tcf(c_29455,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19172,c_6017]) ).
tcf(c_29457,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_6017]) ).
tcf(c_29458,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_6017]) ).
tcf(c_29459,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_6017]) ).
tcf(c_29460,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_6017]) ).
tcf(c_29461,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_6017]) ).
tcf(c_29462,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_6017]) ).
tcf(c_29463,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_6017]) ).
tcf(c_29464,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_6017]) ).
tcf(c_29465,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_6017]) ).
tcf(c_29466,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_6017]) ).
tcf(c_29467,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_6017]) ).
tcf(c_29468,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_6017]) ).
tcf(c_29469,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_6017]) ).
tcf(c_29470,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_6017]) ).
tcf(c_29471,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_6017]) ).
tcf(c_29472,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_6017]) ).
tcf(c_29473,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_6017]) ).
tcf(c_29474,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_6017]) ).
tcf(c_29475,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6017,c_15021]) ).
tcf(c_29476,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6017,c_105]) ).
tcf(c_29477,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6017,c_19119]) ).
tcf(c_29630,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_6018]) ).
tcf(c_29631,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19173,c_6018]) ).
tcf(c_29634,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_6018]) ).
tcf(c_29635,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_6018]) ).
tcf(c_29636,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_6018]) ).
tcf(c_29637,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_6018]) ).
tcf(c_29638,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_6018]) ).
tcf(c_29639,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_6018]) ).
tcf(c_29640,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_6018]) ).
tcf(c_29641,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_6018]) ).
tcf(c_29642,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_6018]) ).
tcf(c_29643,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_6018]) ).
tcf(c_29644,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_6018]) ).
tcf(c_29645,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_6018]) ).
tcf(c_29646,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_6018]) ).
tcf(c_29647,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_6018]) ).
tcf(c_29648,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_6018]) ).
tcf(c_29649,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_6018]) ).
tcf(c_29650,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_6018]) ).
tcf(c_29651,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_6018]) ).
tcf(c_29652,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6018,c_15021]) ).
tcf(c_29653,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6018,c_105]) ).
tcf(c_29654,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6018,c_19119]) ).
tcf(c_29758,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_6019]) ).
tcf(c_29762,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_6019]) ).
tcf(c_29763,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_6019]) ).
tcf(c_29764,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_6019]) ).
tcf(c_29765,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_6019]) ).
tcf(c_29766,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_6019]) ).
tcf(c_29767,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_6019]) ).
tcf(c_29768,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_6019]) ).
tcf(c_29769,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_6019]) ).
tcf(c_29770,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_6019]) ).
tcf(c_29771,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_6019]) ).
tcf(c_29772,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_6019]) ).
tcf(c_29773,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_6019]) ).
tcf(c_29774,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_6019]) ).
tcf(c_29775,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_6019]) ).
tcf(c_29776,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_6019]) ).
tcf(c_29777,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_6019]) ).
tcf(c_29778,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_6019]) ).
tcf(c_29779,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_6019]) ).
tcf(c_29780,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6019,c_15021]) ).
tcf(c_29781,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6019,c_105]) ).
tcf(c_29782,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6019,c_19119]) ).
tcf(c_29881,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1208,c_6020]) ).
tcf(c_29883,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19175,c_6020]) ).
tcf(c_29890,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6020,c_15021]) ).
tcf(c_29891,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_25,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6020,c_105]) ).
tcf(c_29892,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6020,c_19119]) ).
tcf(c_29908,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27017,c_6021]) ).
tcf(c_29912,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27630,c_6021]) ).
tcf(c_29914,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6021,c_15021]) ).
tcf(c_29915,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_22,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6021,c_105]) ).
tcf(c_29916,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6021,c_19119]) ).
tcf(c_29954,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_19947,c_6022]) ).
tcf(c_29957,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19958,c_6022]) ).
tcf(c_29962,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_6022,c_15021]) ).
tcf(c_29963,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6022,c_105]) ).
tcf(c_29964,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_6022,c_19119]) ).
tcf(c_29986,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4343,c_27059]) ).
tcf(c_29987,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27059,c_15021]) ).
tcf(c_29988,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_27059,c_105]) ).
tcf(c_29989,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_27059,c_640]) ).
tcf(c_29990,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27059,c_638]) ).
tcf(c_29991,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27059,c_641]) ).
tcf(c_29992,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27059,c_639]) ).
tcf(c_29993,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27059,c_6021]) ).
tcf(c_29994,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27059,c_6015]) ).
tcf(c_29995,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_27059,c_5730]) ).
tcf(c_29996,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27059,c_19176]) ).
tcf(c_29997,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27059,c_19170]) ).
tcf(c_30073,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4343,c_27213]) ).
tcf(c_30074,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27213,c_15021]) ).
tcf(c_30075,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_27213,c_105]) ).
tcf(c_30076,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_27213,c_640]) ).
tcf(c_30077,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27213,c_638]) ).
tcf(c_30078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27213,c_641]) ).
tcf(c_30079,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27213,c_639]) ).
tcf(c_30080,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27213,c_6021]) ).
tcf(c_30081,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27213,c_6015]) ).
tcf(c_30082,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_27213,c_5730]) ).
tcf(c_30083,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27213,c_19176]) ).
tcf(c_30084,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27213,c_19170]) ).
tcf(c_30148,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_27210,c_20375]) ).
tcf(c_30149,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_24123,c_20375]) ).
tcf(c_30150,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_12691,c_20375]) ).
tcf(c_30151,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_4899,c_20375]) ).
tcf(c_30152,plain,
multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,sk_c11),
inference(superposition,[status(thm)],[c_20702,c_20375]) ).
tcf(c_30154,plain,
multiply(inverse(iPr_def_26),identity) = multiply(iPr_def_15,iPr_def_25),
inference(superposition,[status(thm)],[c_20530,c_20375]) ).
tcf(c_30155,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1665,c_20375]) ).
tcf(c_30156,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_1193,c_20375]) ).
tcf(c_30157,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1595,c_20375]) ).
tcf(c_30158,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_1194,c_20375]) ).
tcf(c_30159,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_26660,c_20375]) ).
tcf(c_30160,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_23077,c_20375]) ).
tcf(c_30161,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_9461,c_20375]) ).
tcf(c_30162,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_9274,c_20375]) ).
tcf(c_30163,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_3926,c_20375]) ).
tcf(c_30164,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_3864,c_20375]) ).
tcf(c_30165,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_3794,c_20375]) ).
tcf(c_30166,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1464,c_20375]) ).
tcf(c_30167,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1397,c_20375]) ).
tcf(c_30168,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_1327,c_20375]) ).
tcf(c_30169,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_26890,c_20375]) ).
tcf(c_30170,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_23205,c_20375]) ).
tcf(c_30171,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_21024,c_20375]) ).
tcf(c_30172,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_12838,c_20375]) ).
tcf(c_30173,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_12719,c_20375]) ).
tcf(c_30174,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3249,c_20375]) ).
tcf(c_30175,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3168,c_20375]) ).
tcf(c_30176,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_3050,c_20375]) ).
tcf(c_30177,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2935,c_20375]) ).
tcf(c_30178,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2823,c_20375]) ).
tcf(c_30179,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_2606,c_20375]) ).
tcf(c_30180,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_26,X0)) = multiply(iPr_def_15,multiply(sk_c11,X0)),
inference(superposition,[status(thm)],[c_2657,c_20375]) ).
tcf(c_30181,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_26519,c_20375]) ).
tcf(c_30182,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_22802,c_20375]) ).
tcf(c_30183,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_20824,c_20375]) ).
tcf(c_30184,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_10686,c_20375]) ).
tcf(c_30185,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_10533,c_20375]) ).
tcf(c_30186,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_4913,c_20375]) ).
tcf(c_30187,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_4661,c_20375]) ).
tcf(c_30188,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_4486,c_20375]) ).
tcf(c_30189,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_4354,c_20375]) ).
tcf(c_30190,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_4207,c_20375]) ).
tcf(c_30191,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_4082,c_20375]) ).
tcf(c_30192,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_25,X0)) = multiply(inverse(iPr_def_26),X0),
inference(superposition,[status(thm)],[c_20535,c_20375]) ).
tcf(c_30193,plain,
multiply(inverse(iPr_def_26),sk_c3) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_16715,c_20375]) ).
tcf(c_30194,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_21476,c_20375]) ).
tcf(c_30197,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_26)),multiply(iPr_def_15,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_20375,c_15021]) ).
tcf(c_30198,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_26),multiply(multiply(sk_c3,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_20375,c_105]) ).
tcf(c_30223,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_26,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_30180,c_2683]) ).
tcf(c_30274,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(X0,X1))) = multiply(multiply(iPr_def_15,X0),X1),
inference(light_normalisation,[status(thm)],[c_30198,c_20529,c_20601]) ).
tcf(c_30281,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_30151,c_23243]) ).
tcf(c_30290,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_6020,c_30192]) ).
tcf(c_30291,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(demodulation,[status(thm)],[c_6014,c_30192]) ).
tcf(c_30569,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_26118,c_2469]) ).
tcf(c_30570,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21917,c_2469]) ).
tcf(c_30572,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12536,c_2469]) ).
tcf(c_30576,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12031,c_2469]) ).
tcf(c_30581,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10254,c_2469]) ).
tcf(c_30583,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8900,c_2469]) ).
tcf(c_30586,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2289,c_2469]) ).
tcf(c_30587,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2051,c_2469]) ).
tcf(c_30588,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1978,c_2469]) ).
tcf(c_30589,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_691,c_2469]) ).
tcf(c_30590,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_690,c_2469]) ).
tcf(c_30591,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_688,c_2469]) ).
tcf(c_30592,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_687,c_2469]) ).
tcf(c_30593,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_685,c_2469]) ).
tcf(c_30594,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_681,c_2469]) ).
tcf(c_30595,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_678,c_2469]) ).
tcf(c_30596,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_671,c_2469]) ).
tcf(c_30597,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_668,c_2469]) ).
tcf(c_30598,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_651,c_2469]) ).
tcf(c_30599,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_648,c_2469]) ).
tcf(c_30783,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_29249,c_14243]) ).
tcf(c_30785,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_2056]) ).
tcf(c_30786,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_1866]) ).
tcf(c_30787,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_1635]) ).
tcf(c_30788,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_1545]) ).
tcf(c_30789,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_1378]) ).
tcf(c_30790,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_1290]) ).
tcf(c_30791,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_1138]) ).
tcf(c_30792,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29249,c_1137]) ).
tcf(c_30795,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29249,c_2679]) ).
tcf(c_30796,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_29249,c_1211]) ).
tcf(c_30798,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29249,c_627]) ).
tcf(c_30934,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_29250,c_14243]) ).
tcf(c_30938,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29250,c_1635]) ).
tcf(c_30939,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29250,c_1545]) ).
tcf(c_30946,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29250,c_2679]) ).
tcf(c_30947,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_29250,c_1211]) ).
tcf(c_30949,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29250,c_627]) ).
tcf(c_30970,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_29251,c_14243]) ).
tcf(c_30976,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29251,c_1378]) ).
tcf(c_30977,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29251,c_1290]) ).
tcf(c_30978,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29251,c_1138]) ).
tcf(c_30979,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29251,c_1137]) ).
tcf(c_30982,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29251,c_2679]) ).
tcf(c_30983,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_29251,c_1211]) ).
tcf(c_30985,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29251,c_627]) ).
tcf(c_31005,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_30591,c_689,c_1647,c_2038,c_2868,c_9915,c_30591]) ).
tcf(c_31034,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_30595,c_698,c_679,c_1318,c_2038,c_9915,c_30595]) ).
tcf(c_31048,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_669,c_30597]) ).
tcf(c_31069,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_649,c_30599]) ).
tcf(c_31089,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(iPr_def_18,iPr_def_19) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30798,c_639]) ).
tcf(c_31091,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30798,c_638]) ).
tcf(c_31108,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(iPr_def_18,iPr_def_19) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30949,c_639]) ).
tcf(c_31110,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30949,c_638]) ).
tcf(c_31150,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_18,iPr_def_19) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30985,c_639]) ).
tcf(c_31152,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_30985,c_638]) ).
tcf(c_31170,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26121,c_3392]) ).
tcf(c_31171,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26120,c_3392]) ).
tcf(c_31172,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26119,c_3392]) ).
tcf(c_31173,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21920,c_3392]) ).
tcf(c_31174,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21919,c_3392]) ).
tcf(c_31175,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21918,c_3392]) ).
tcf(c_31176,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21608,c_3392]) ).
tcf(c_31177,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20561,c_3392]) ).
tcf(c_31178,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20560,c_3392]) ).
tcf(c_31179,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12611,c_3392]) ).
tcf(c_31180,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_12609,c_3392]) ).
tcf(c_31184,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10426,c_3392]) ).
tcf(c_31185,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_10425,c_3392]) ).
tcf(c_31189,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9112,c_3392]) ).
tcf(c_31190,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9111,c_3392]) ).
tcf(c_31194,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1807,c_3392]) ).
tcf(c_31195,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1750,c_3392]) ).
tcf(c_31196,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1749,c_3392]) ).
tcf(c_31197,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1660,c_3392]) ).
tcf(c_31198,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1631,c_3392]) ).
tcf(c_31199,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1562,c_3392]) ).
tcf(c_31200,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1498,c_3392]) ).
tcf(c_31201,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1375,c_3392]) ).
tcf(c_31202,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1309,c_3392]) ).
tcf(c_31203,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1078,c_3392]) ).
tcf(c_31204,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1065,c_3392]) ).
tcf(c_31205,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1064,c_3392]) ).
tcf(c_31206,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1027,c_3392]) ).
tcf(c_31207,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1019,c_3392]) ).
tcf(c_31208,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_17 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1007,c_3392]) ).
tcf(c_31209,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_680,c_3392]) ).
tcf(c_31210,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_3392]) ).
tcf(c_31211,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_675,c_3392]) ).
tcf(c_31212,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_670,c_3392]) ).
tcf(c_31213,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_667,c_3392]) ).
tcf(c_31214,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_28 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_665,c_3392]) ).
tcf(c_31215,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_3392]) ).
tcf(c_31216,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_647,c_3392]) ).
tcf(c_31217,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_645,c_3392]) ).
tcf(c_31481,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_29252,c_14243]) ).
tcf(c_31489,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29252,c_1138]) ).
tcf(c_31490,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29252,c_1137]) ).
tcf(c_31491,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29252,c_1136]) ).
tcf(c_31492,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29252,c_1135]) ).
tcf(c_31493,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29252,c_2679]) ).
tcf(c_31494,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_29252,c_1211]) ).
tcf(c_31496,plain,
( ( sk_c2 = iPr_def_27 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29252,c_627]) ).
tcf(c_31542,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_18,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_29253,c_14243]) ).
tcf(c_31550,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_18) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29253,c_1138]) ).
tcf(c_31551,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29253,c_1137]) ).
tcf(c_31554,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_29253,c_2679]) ).
tcf(c_31555,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_29253,c_1211]) ).
tcf(c_31557,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29253,c_627]) ).
tcf(c_31577,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_18)),multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_15245,c_15021]) ).
tcf(c_31578,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_18),multiply(X0,X1)) = multiply(multiply(sk_c6,X0),X1),
inference(superposition,[status(thm)],[c_15245,c_105]) ).
tcf(c_31579,plain,
multiply(sk_c6,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_15245,c_104]) ).
tcf(c_31580,plain,
( ~ iPr_def_11
| ( multiply(sk_c6,sk_c10) != sk_c9 )
| ( inverse(inverse(iPr_def_18)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15245,c_640]) ).
tcf(c_31581,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_18))) != inverse(X0) )
| ( multiply(sk_c6,inverse(X0)) != inverse(inverse(iPr_def_18)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15245,c_638]) ).
tcf(c_31582,plain,
( ~ iPr_def_10
| ( multiply(sk_c6,sk_c11) != sk_c10 )
| ( inverse(inverse(iPr_def_18)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15245,c_641]) ).
tcf(c_31583,plain,
( ~ iPr_def_12
| ( multiply(sk_c6,inverse(inverse(iPr_def_18))) != sk_c11 )
| ( multiply(inverse(inverse(iPr_def_18)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15245,c_639]) ).
tcf(c_31584,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_15245,c_15021]) ).
tcf(c_31585,plain,
multiply(sk_c6,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_15245,c_16715]) ).
tcf(c_31659,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_682,c_31579]) ).
tcf(c_31661,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_672,c_31579]) ).
tcf(c_31663,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_662,c_31579]) ).
tcf(c_31665,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_652,c_31579]) ).
tcf(c_31667,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_642,c_31579]) ).
tcf(c_31668,plain,
multiply(inverse(sk_c6),identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_31579,c_15021]) ).
tcf(c_31669,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_18,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_31579,c_105]) ).
tcf(c_31670,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_31579,c_2678]) ).
tcf(c_31730,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31659,c_15021]) ).
tcf(c_31731,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_31659,c_105]) ).
tcf(c_31732,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31659,c_5629]) ).
tcf(c_31733,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31659,c_5627]) ).
tcf(c_31734,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31659,c_5625]) ).
tcf(c_31735,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31659,c_5623]) ).
tcf(c_31736,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31659,c_5621]) ).
tcf(c_31737,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_31659,c_5694]) ).
tcf(c_31742,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_31731,c_103]) ).
tcf(c_31761,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31661,c_15021]) ).
tcf(c_31762,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_31661,c_105]) ).
tcf(c_31763,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31661,c_5629]) ).
tcf(c_31764,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31661,c_5627]) ).
tcf(c_31765,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31661,c_5625]) ).
tcf(c_31766,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31661,c_5623]) ).
tcf(c_31768,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_31661,c_5694]) ).
tcf(c_31773,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_31762,c_103]) ).
tcf(c_31802,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31663,c_15021]) ).
tcf(c_31803,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_31663,c_105]) ).
tcf(c_31804,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31663,c_5629]) ).
tcf(c_31805,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31663,c_5627]) ).
tcf(c_31806,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31663,c_5625]) ).
tcf(c_31809,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_31663,c_5694]) ).
tcf(c_31814,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_31803,c_103]) ).
tcf(c_31822,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31665,c_15021]) ).
tcf(c_31823,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_31665,c_105]) ).
tcf(c_31824,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31665,c_5629]) ).
tcf(c_31825,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31665,c_5627]) ).
tcf(c_31829,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_31665,c_5694]) ).
tcf(c_31834,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_31823,c_103]) ).
tcf(c_31842,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31667,c_15021]) ).
tcf(c_31843,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_31667,c_105]) ).
tcf(c_31844,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31667,c_5629]) ).
tcf(c_31849,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_31667,c_5694]) ).
tcf(c_31854,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_18,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_31843,c_103]) ).
tcf(c_31874,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_31209,c_10992,c_31209]) ).
tcf(c_31880,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_31215,c_7542,c_31215]) ).
tcf(c_31891,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_12
| ( multiply(iPr_def_18,iPr_def_19) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31496,c_639]) ).
tcf(c_31893,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31496,c_638]) ).
tcf(c_31928,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_18,iPr_def_19) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31557,c_639]) ).
tcf(c_31930,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_19) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31557,c_638]) ).
tcf(c_31943,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(inverse(iPr_def_18),multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5630,c_31578]) ).
tcf(c_31944,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_19,multiply(sk_c7,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5678,c_29158,c_29247]) ).
tcf(c_31945,plain,
inverse(iPr_def_18) = sk_c6,
inference(demodulation,[status(thm)],[c_31585,c_16715]) ).
tcf(c_31946,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_31557,c_31945]) ).
tcf(c_31947,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c6 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_31496,c_31945]) ).
tcf(c_31949,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_30985,c_31945]) ).
tcf(c_31950,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_30949,c_31945]) ).
tcf(c_31951,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c10 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_30798,c_31945]) ).
tcf(c_31963,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_18,sk_c6) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31945,c_639]) ).
tcf(c_31965,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_31945,c_638]) ).
tcf(c_31966,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(sk_c6,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_31963,c_1212,c_31945]) ).
tcf(c_31970,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c6,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_31965,c_1212,c_31945]) ).
tcf(c_32000,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1865,c_31584]) ).
tcf(c_32001,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1544,c_31584]) ).
tcf(c_32002,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1289,c_31584]) ).
tcf(c_32003,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_31584]) ).
tcf(c_32004,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1157,c_31584]) ).
tcf(c_32005,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_1212,c_31584]) ).
tcf(c_32006,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_31584]) ).
tcf(c_32007,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1910,c_31584]) ).
tcf(c_32008,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1908,c_31584]) ).
tcf(c_32009,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1906,c_31584]) ).
tcf(c_32010,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1904,c_31584]) ).
tcf(c_32011,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1977,c_31584]) ).
tcf(c_32012,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1911,c_31584]) ).
tcf(c_32013,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1909,c_31584]) ).
tcf(c_32014,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1907,c_31584]) ).
tcf(c_32015,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1905,c_31584]) ).
tcf(c_32026,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11116,c_31584]) ).
tcf(c_32027,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9784,c_31584]) ).
tcf(c_32028,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8348,c_31584]) ).
tcf(c_32029,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7137,c_31584]) ).
tcf(c_32030,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_31584]) ).
tcf(c_32031,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9785,c_31584]) ).
tcf(c_32032,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8349,c_31584]) ).
tcf(c_32033,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7138,c_31584]) ).
tcf(c_32035,plain,
! [X0: $i] : multiply(inverse(sk_c6),X0) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_31584,c_15021]) ).
tcf(c_32036,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_31584,c_105]) ).
tcf(c_32221,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_12536,c_5553]) ).
tcf(c_32230,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_10254,c_5553]) ).
tcf(c_32252,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_14,sk_c9) ) ),
inference(superposition,[status(thm)],[c_19924,c_5553]) ).
tcf(c_32253,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_14,sk_c9) ) ),
inference(superposition,[status(thm)],[c_18201,c_5553]) ).
tcf(c_32255,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_19935,c_5553]) ).
tcf(c_32256,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_18209,c_5553]) ).
tcf(c_32258,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_14,identity) ) ),
inference(superposition,[status(thm)],[c_16715,c_5553]) ).
tcf(c_32259,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_27207,c_5553]) ).
tcf(c_32260,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_24946,c_5553]) ).
tcf(c_32261,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_24933,c_5553]) ).
tcf(c_32262,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_14,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_5553,c_15021]) ).
tcf(c_32263,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_5553,c_105]) ).
tcf(c_32264,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_5553,c_2660]) ).
tcf(c_32265,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_24,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_5553,c_2658]) ).
tcf(c_32274,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_32262,c_15236]) ).
tcf(c_32277,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_24,multiply(iPr_def_24,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_32265,c_14423]) ).
tcf(c_32280,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_32264,c_14422]) ).
tcf(c_32347,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_21,multiply(sk_c5,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5697,c_26093,c_26169]) ).
tcf(c_32348,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_23,multiply(sk_c4,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5742,c_21892,c_23243]) ).
tcf(c_32349,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_25,multiply(sk_c3,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_5986,c_20529,c_20601]) ).
tcf(c_32350,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(sk_c11,multiply(X0,X1))) = multiply(X0,X1),
inference(light_normalisation,[status(thm)],[c_6023,c_19113,c_19364]) ).
tcf(c_32411,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_27)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_15246,c_15021]) ).
tcf(c_32412,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_27),multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_15246,c_105]) ).
tcf(c_32413,plain,
multiply(sk_c1,iPr_def_27) = identity,
inference(superposition,[status(thm)],[c_15246,c_104]) ).
tcf(c_32414,plain,
( ~ iPr_def_11
| ( multiply(sk_c1,sk_c10) != sk_c9 )
| ( inverse(inverse(iPr_def_27)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_15246,c_640]) ).
tcf(c_32415,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_27))) != inverse(X0) )
| ( multiply(sk_c1,inverse(X0)) != inverse(inverse(iPr_def_27)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15246,c_638]) ).
tcf(c_32416,plain,
( ~ iPr_def_10
| ( multiply(sk_c1,sk_c11) != sk_c10 )
| ( inverse(inverse(iPr_def_27)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15246,c_641]) ).
tcf(c_32417,plain,
( ~ iPr_def_12
| ( multiply(sk_c1,inverse(inverse(iPr_def_27))) != sk_c11 )
| ( multiply(inverse(inverse(iPr_def_27)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_15246,c_639]) ).
tcf(c_32418,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_27,X0)) = X0,
inference(superposition,[status(thm)],[c_15246,c_15021]) ).
tcf(c_32419,plain,
multiply(sk_c1,identity) = inverse(iPr_def_27),
inference(superposition,[status(thm)],[c_15246,c_16715]) ).
tcf(c_32434,plain,
( ( identity = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_26984,c_32413]) ).
tcf(c_32435,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_3354,c_32413]) ).
tcf(c_32436,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_3326,c_32413]) ).
tcf(c_32437,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1257,c_32413]) ).
tcf(c_32438,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_1247,c_32413]) ).
tcf(c_32439,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_1227,c_32413]) ).
tcf(c_32440,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1202,c_32413]) ).
tcf(c_32441,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1201,c_32413]) ).
tcf(c_32542,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_24123,c_5968]) ).
tcf(c_32545,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = multiply(iPr_def_26,sk_c9) ) ),
inference(superposition,[status(thm)],[c_16715,c_5968]) ).
tcf(c_32551,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_14,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_5968,c_15021]) ).
tcf(c_32552,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_5968,c_105]) ).
tcf(c_32553,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5968,c_21381]) ).
tcf(c_32554,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c9,X0)) = multiply(iPr_def_25,multiply(iPr_def_14,X0)) ) ),
inference(superposition,[status(thm)],[c_5968,c_5997]) ).
tcf(c_32658,plain,
multiply(inverse(sk_c1),identity) = iPr_def_27,
inference(superposition,[status(thm)],[c_32413,c_15021]) ).
tcf(c_32659,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_32413,c_105]) ).
tcf(c_32660,plain,
multiply(iPr_def_27,identity) = iPr_def_27,
inference(superposition,[status(thm)],[c_32413,c_2677]) ).
tcf(c_32681,plain,
( ( identity = iPr_def_22 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32434,c_16750]) ).
tcf(c_32682,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_32434,c_16715]) ).
tcf(c_32683,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32434,c_103]) ).
tcf(c_32819,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32435,c_16750]) ).
tcf(c_32820,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_32435,c_16715]) ).
tcf(c_32821,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32435,c_103]) ).
tcf(c_32873,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32436,c_16750]) ).
tcf(c_32874,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_32436,c_16715]) ).
tcf(c_32875,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32436,c_103]) ).
tcf(c_32919,plain,
inverse(iPr_def_27) = sk_c1,
inference(demodulation,[status(thm)],[c_32419,c_16715]) ).
tcf(c_32922,plain,
( ~ iPr_def_12
| ( multiply(iPr_def_27,sk_c1) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32919,c_639]) ).
tcf(c_32924,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32919,c_638]) ).
tcf(c_32925,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(sk_c1,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_32922,c_1213,c_32919]) ).
tcf(c_32929,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c1,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_32924,c_1213,c_32919]) ).
tcf(c_32936,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26985,c_32418]) ).
tcf(c_32937,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3355,c_32418]) ).
tcf(c_32938,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3327,c_32418]) ).
tcf(c_32939,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1258,c_32418]) ).
tcf(c_32940,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1248,c_32418]) ).
tcf(c_32941,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1228,c_32418]) ).
tcf(c_32942,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1148,c_32418]) ).
tcf(c_32943,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1147,c_32418]) ).
tcf(c_32944,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_1213,c_32418]) ).
tcf(c_32945,plain,
multiply(sk_c1,sk_c2) = iPr_def_28,
inference(superposition,[status(thm)],[c_5304,c_32418]) ).
tcf(c_32948,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_32418,c_15021]) ).
tcf(c_32949,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_27,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_32418,c_105]) ).
tcf(c_32951,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32943,c_14472]) ).
tcf(c_32954,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32942,c_14472]) ).
tcf(c_32957,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32941,c_14472]) ).
tcf(c_32960,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32940,c_14472]) ).
tcf(c_32963,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32939,c_14472]) ).
tcf(c_32966,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32938,c_14472]) ).
tcf(c_32969,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32937,c_14472]) ).
tcf(c_32972,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_32936,c_14472]) ).
tcf(c_33134,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32437,c_2469]) ).
tcf(c_33137,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32437,c_21917]) ).
tcf(c_33138,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32437,c_15074]) ).
tcf(c_33139,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_32437,c_2662]) ).
tcf(c_33140,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_32437,c_2660]) ).
tcf(c_33141,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_32437,c_2658]) ).
tcf(c_33142,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32437,c_12536]) ).
tcf(c_33146,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32437,c_12031]) ).
tcf(c_33152,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32437,c_10254]) ).
tcf(c_33157,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32437,c_8900]) ).
tcf(c_33162,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32437,c_1238]) ).
tcf(c_33165,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32437,c_1157]) ).
tcf(c_33166,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32437,c_1156]) ).
tcf(c_33168,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32437,c_2289]) ).
tcf(c_33169,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32437,c_2051]) ).
tcf(c_33170,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32437,c_1978]) ).
tcf(c_33171,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_32437,c_640]) ).
tcf(c_33173,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32437,c_688]) ).
tcf(c_33176,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32437,c_678]) ).
tcf(c_33177,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32437,c_668]) ).
tcf(c_33178,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32437,c_632]) ).
tcf(c_33179,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32437,c_628]) ).
tcf(c_33180,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32437,c_622]) ).
tcf(c_33181,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32437,c_648]) ).
tcf(c_33353,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5999,c_15021]) ).
tcf(c_33354,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_5999,c_105]) ).
tcf(c_33355,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5999,c_19119]) ).
tcf(c_33421,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32438,c_3392]) ).
tcf(c_33425,plain,
( ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32438,c_21920]) ).
tcf(c_33426,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( identity = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32438,c_21919]) ).
tcf(c_33427,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32438,c_21918]) ).
tcf(c_33431,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32438,c_19119]) ).
tcf(c_33432,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_32438,c_19114]) ).
tcf(c_33433,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_32438,c_2657]) ).
tcf(c_33434,plain,
( ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_12611]) ).
tcf(c_33435,plain,
( ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_12609]) ).
tcf(c_33438,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_10426]) ).
tcf(c_33439,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_10425]) ).
tcf(c_33443,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_9112]) ).
tcf(c_33444,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_9111]) ).
tcf(c_33447,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32438,c_2683]) ).
tcf(c_33448,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1807]) ).
tcf(c_33449,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1750]) ).
tcf(c_33450,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1749]) ).
tcf(c_33451,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1660]) ).
tcf(c_33452,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1631]) ).
tcf(c_33453,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1562]) ).
tcf(c_33454,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1498]) ).
tcf(c_33457,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_32438,c_641]) ).
tcf(c_33458,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1078]) ).
tcf(c_33459,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1065]) ).
tcf(c_33460,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1064]) ).
tcf(c_33461,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1027]) ).
tcf(c_33462,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32438,c_1019]) ).
tcf(c_33464,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32438,c_637]) ).
tcf(c_33465,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32438,c_677]) ).
tcf(c_33466,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32438,c_675]) ).
tcf(c_33470,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_32438,c_1207]) ).
tcf(c_33471,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32438,c_634]) ).
tcf(c_33472,plain,
( ( identity = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32438,c_623]) ).
tcf(c_33473,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32438,c_647]) ).
tcf(c_33474,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32438,c_645]) ).
tcf(c_33475,plain,
( ( identity = iPr_def_28 )
| ( sk_c3 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_33472,c_20601]) ).
tcf(c_33478,plain,
( ( identity = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_33471,c_20530]) ).
tcf(c_33536,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_33447,c_30192]) ).
tcf(c_33568,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_33433,c_20535]) ).
tcf(c_33590,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_23 != sk_c10 )
| ( iPr_def_14 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_12111]) ).
tcf(c_33591,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_26 != sk_c10 )
| ( iPr_def_14 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_12111]) ).
tcf(c_33772,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32439,c_32437]) ).
tcf(c_33773,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_32439,c_5553]) ).
tcf(c_33774,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32439,c_2469]) ).
tcf(c_33778,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_23),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32439,c_15074]) ).
tcf(c_33779,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_32439,c_2662]) ).
tcf(c_33780,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_32439,c_2660]) ).
tcf(c_33781,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_32439,c_2658]) ).
tcf(c_33783,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32439,c_12536]) ).
tcf(c_33786,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_12031]) ).
tcf(c_33787,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_2192]) ).
tcf(c_33793,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_10254]) ).
tcf(c_33794,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_1723]) ).
tcf(c_33797,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32439,c_8900]) ).
tcf(c_33798,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_1451]) ).
tcf(c_33802,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_1238]) ).
tcf(c_33805,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32439,c_1157]) ).
tcf(c_33806,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32439,c_1156]) ).
tcf(c_33807,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_1040]) ).
tcf(c_33808,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32439,c_2289]) ).
tcf(c_33809,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32439,c_2051]) ).
tcf(c_33810,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32439,c_1978]) ).
tcf(c_33811,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_32439,c_640]) ).
tcf(c_33818,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32439,c_632]) ).
tcf(c_33819,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32439,c_628]) ).
tcf(c_33821,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32439,c_622]) ).
tcf(c_33828,plain,
( ( identity = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_33818,c_21893]) ).
tcf(c_33865,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_33802,c_5741]) ).
tcf(c_33872,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_33781,c_21898]) ).
tcf(c_33973,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_32438]) ).
tcf(c_33974,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32440,c_3392]) ).
tcf(c_33985,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32440,c_19119]) ).
tcf(c_33986,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_32440,c_19114]) ).
tcf(c_33987,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_32440,c_2657]) ).
tcf(c_33988,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_12611]) ).
tcf(c_33989,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_12609]) ).
tcf(c_33992,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_10426]) ).
tcf(c_33993,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_10425]) ).
tcf(c_33997,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_9112]) ).
tcf(c_33998,plain,
( ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_9111]) ).
tcf(c_34001,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32440,c_2683]) ).
tcf(c_34002,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1807]) ).
tcf(c_34003,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1750]) ).
tcf(c_34004,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1749]) ).
tcf(c_34005,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1660]) ).
tcf(c_34006,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1631]) ).
tcf(c_34007,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1562]) ).
tcf(c_34008,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1498]) ).
tcf(c_34011,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_32440,c_641]) ).
tcf(c_34012,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1078]) ).
tcf(c_34013,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1065]) ).
tcf(c_34014,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1064]) ).
tcf(c_34015,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1027]) ).
tcf(c_34016,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32440,c_1019]) ).
tcf(c_34018,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_28 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32440,c_637]) ).
tcf(c_34020,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_32440,c_677]) ).
tcf(c_34024,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_32440,c_1207]) ).
tcf(c_34025,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32440,c_634]) ).
tcf(c_34027,plain,
( ( identity = iPr_def_28 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32440,c_623]) ).
tcf(c_34028,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_32440,c_647]) ).
tcf(c_34338,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_32440]) ).
tcf(c_34339,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_32438]) ).
tcf(c_34340,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32441,c_3392]) ).
tcf(c_34351,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32441,c_19119]) ).
tcf(c_34352,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_32441,c_19114]) ).
tcf(c_34353,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_32441,c_2657]) ).
tcf(c_34354,plain,
( ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_12611]) ).
tcf(c_34355,plain,
( ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_12609]) ).
tcf(c_34358,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_10426]) ).
tcf(c_34359,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_10425]) ).
tcf(c_34363,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_9112]) ).
tcf(c_34364,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_9111]) ).
tcf(c_34367,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32441,c_2683]) ).
tcf(c_34368,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1807]) ).
tcf(c_34369,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1750]) ).
tcf(c_34370,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1749]) ).
tcf(c_34371,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1660]) ).
tcf(c_34372,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1631]) ).
tcf(c_34373,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1562]) ).
tcf(c_34374,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1498]) ).
tcf(c_34377,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_32441,c_641]) ).
tcf(c_34378,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1078]) ).
tcf(c_34379,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1065]) ).
tcf(c_34380,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1064]) ).
tcf(c_34381,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1027]) ).
tcf(c_34382,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32441,c_1019]) ).
tcf(c_34384,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32441,c_637]) ).
tcf(c_34390,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_32441,c_1207]) ).
tcf(c_34391,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32441,c_634]) ).
tcf(c_34393,plain,
( ( identity = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32441,c_623]) ).
tcf(c_34614,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_33475,c_20375]) ).
tcf(c_34626,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_12838]) ).
tcf(c_34627,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_12719]) ).
tcf(c_34628,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_33475,c_20364]) ).
tcf(c_34629,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_10686]) ).
tcf(c_34630,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_10533]) ).
tcf(c_34631,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_9461]) ).
tcf(c_34632,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_9274]) ).
tcf(c_34647,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_33475,c_2657]) ).
tcf(c_34658,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_634]) ).
tcf(c_34659,plain,
( ( identity = iPr_def_28 )
| ( inverse(iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_33475,c_633]) ).
tcf(c_34698,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33478,c_26848]) ).
tcf(c_34699,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33478,c_26621]) ).
tcf(c_34701,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33478,c_23163]) ).
tcf(c_34702,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33478,c_23038]) ).
tcf(c_34704,plain,
( ( identity = iPr_def_26 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33478,c_16750]) ).
tcf(c_34705,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_33478,c_16715]) ).
tcf(c_34706,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33478,c_103]) ).
tcf(c_34763,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_33772,c_26849]) ).
tcf(c_34764,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33772,c_26848]) ).
tcf(c_34765,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33772,c_26621]) ).
tcf(c_34770,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33772,c_16750]) ).
tcf(c_34771,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_33772,c_16715]) ).
tcf(c_34772,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33772,c_103]) ).
tcf(c_34808,plain,
( ( identity = iPr_def_24 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33828,c_16750]) ).
tcf(c_34809,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_33828,c_16715]) ).
tcf(c_34810,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33828,c_103]) ).
tcf(c_34838,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_12598,c_1279,c_2798,c_12031,c_12256,c_27126,c_27127,c_33591]) ).
tcf(c_34865,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34838,c_32439]) ).
tcf(c_34866,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34838,c_32437]) ).
tcf(c_34868,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34838,c_2469]) ).
tcf(c_34870,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34838,c_15074]) ).
tcf(c_34871,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_34838,c_2662]) ).
tcf(c_34872,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_34838,c_2660]) ).
tcf(c_34873,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_34838,c_2658]) ).
tcf(c_34875,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_34838,c_12536]) ).
tcf(c_34883,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_34838,c_10254]) ).
tcf(c_34888,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34838,c_8900]) ).
tcf(c_34894,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_34838,c_1238]) ).
tcf(c_34897,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34838,c_1157]) ).
tcf(c_34898,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34838,c_1156]) ).
tcf(c_34900,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_34838,c_640]) ).
tcf(c_34907,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34838,c_632]) ).
tcf(c_34908,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34838,c_628]) ).
tcf(c_34910,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_34838,c_622]) ).
tcf(c_34918,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_34870,c_19364]) ).
tcf(c_35002,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_15 ) ),
inference(global_subsumption_just,[status(thm)],[c_12600,c_1279,c_2798,c_11974,c_12031,c_27035,c_27036,c_33590]) ).
tcf(c_35029,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35002,c_32439]) ).
tcf(c_35030,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35002,c_32437]) ).
tcf(c_35032,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_15 != iPr_def_23 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35002,c_2469]) ).
tcf(c_35034,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_15),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35002,c_15074]) ).
tcf(c_35035,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_35002,c_2662]) ).
tcf(c_35036,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_35002,c_2660]) ).
tcf(c_35037,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_35002,c_2658]) ).
tcf(c_35039,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_35002,c_12536]) ).
tcf(c_35047,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_35002,c_10254]) ).
tcf(c_35052,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35002,c_8900]) ).
tcf(c_35058,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_35002,c_1238]) ).
tcf(c_35061,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35002,c_1157]) ).
tcf(c_35062,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35002,c_1156]) ).
tcf(c_35064,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_15) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_35002,c_640]) ).
tcf(c_35071,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35002,c_632]) ).
tcf(c_35072,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35002,c_628]) ).
tcf(c_35074,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_35002,c_622]) ).
tcf(c_35082,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c11,iPr_def_14) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_35034,c_19364]) ).
tcf(c_35185,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14210,c_15021]) ).
tcf(c_35186,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(superposition,[status(thm)],[c_14210,c_105]) ).
tcf(c_35187,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14210,c_26099]) ).
tcf(c_35188,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_14) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_35187,c_14221]) ).
tcf(c_35192,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_35186,c_14220,c_14422]) ).
tcf(c_35203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_14211]) ).
tcf(c_35204,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_689,c_14211]) ).
tcf(c_35205,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_679,c_14211]) ).
tcf(c_35206,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_669,c_14211]) ).
tcf(c_35208,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_649,c_14211]) ).
tcf(c_35209,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14211,c_15021]) ).
tcf(c_35210,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(sk_c9,X0)) ) ),
inference(superposition,[status(thm)],[c_14211,c_105]) ).
tcf(c_35211,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14211,c_6022]) ).
tcf(c_35212,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14211,c_6016]) ).
tcf(c_35310,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_9116,c_6000]) ).
tcf(c_35312,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6000,c_15021]) ).
tcf(c_35313,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6000,c_105]) ).
tcf(c_35314,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6000,c_19119]) ).
tcf(c_35329,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28473,c_34027]) ).
tcf(c_35331,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34027,c_639]) ).
tcf(c_35333,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34027,c_638]) ).
tcf(c_35355,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34393,c_639]) ).
tcf(c_35357,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34393,c_638]) ).
tcf(c_35377,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_32683]) ).
tcf(c_35378,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_32683]) ).
tcf(c_35379,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_32683]) ).
tcf(c_35380,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_32683]) ).
tcf(c_35381,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_32683]) ).
tcf(c_35382,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_32683]) ).
tcf(c_35383,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_32683]) ).
tcf(c_35384,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_32683]) ).
tcf(c_35385,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_32683]) ).
tcf(c_35386,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_32683]) ).
tcf(c_35387,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_32683]) ).
tcf(c_35388,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_32683]) ).
tcf(c_35389,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_32683]) ).
tcf(c_35390,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_32683]) ).
tcf(c_35391,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_32683]) ).
tcf(c_35392,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_32683]) ).
tcf(c_35393,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_32683]) ).
tcf(c_35394,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_32683]) ).
tcf(c_35395,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32683,c_15021]) ).
tcf(c_35396,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_32683,c_105]) ).
tcf(c_35397,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_32683,c_640]) ).
tcf(c_35398,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32683,c_638]) ).
tcf(c_35399,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32683,c_641]) ).
tcf(c_35400,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32683,c_639]) ).
tcf(c_35401,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32683,c_6019]) ).
tcf(c_35402,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32683,c_6018]) ).
tcf(c_35403,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32683,c_6017]) ).
tcf(c_35404,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_32683,c_5599]) ).
tcf(c_35405,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32683,c_19174]) ).
tcf(c_35406,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32683,c_19173]) ).
tcf(c_35407,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_32683,c_19172]) ).
tcf(c_35638,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_32821]) ).
tcf(c_35639,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_32821]) ).
tcf(c_35640,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_32821]) ).
tcf(c_35641,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_32821]) ).
tcf(c_35643,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_32821]) ).
tcf(c_35644,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_32821]) ).
tcf(c_35646,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_32821]) ).
tcf(c_35647,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_32821]) ).
tcf(c_35648,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32821,c_15021]) ).
tcf(c_35649,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_32821,c_105]) ).
tcf(c_35650,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_32821,c_640]) ).
tcf(c_35651,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32821,c_638]) ).
tcf(c_35652,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32821,c_641]) ).
tcf(c_35653,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32821,c_639]) ).
tcf(c_35654,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32821,c_6019]) ).
tcf(c_35655,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32821,c_6018]) ).
tcf(c_35656,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32821,c_6017]) ).
tcf(c_35657,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_32821,c_5599]) ).
tcf(c_35658,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32821,c_19174]) ).
tcf(c_35659,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32821,c_19173]) ).
tcf(c_35660,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_32821,c_19172]) ).
tcf(c_35884,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33973,c_16750]) ).
tcf(c_35885,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_33973,c_16715]) ).
tcf(c_35886,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_33973,c_103]) ).
tcf(c_35913,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34338,c_16750]) ).
tcf(c_35914,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_34338,c_16715]) ).
tcf(c_35915,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34338,c_103]) ).
tcf(c_35958,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34339,c_16750]) ).
tcf(c_35959,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_34339,c_16715]) ).
tcf(c_35960,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34339,c_103]) ).
tcf(c_35990,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14212,c_15021]) ).
tcf(c_35991,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(superposition,[status(thm)],[c_14212,c_105]) ).
tcf(c_35992,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14212,c_26099]) ).
tcf(c_35993,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_14) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_35992,c_14221]) ).
tcf(c_35997,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_35991,c_14220,c_14422]) ).
tcf(c_36008,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_14213]) ).
tcf(c_36010,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_679,c_14213]) ).
tcf(c_36014,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14213,c_15021]) ).
tcf(c_36015,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(sk_c9,X0)) ) ),
inference(superposition,[status(thm)],[c_14213,c_105]) ).
tcf(c_36017,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14213,c_6016]) ).
tcf(c_36095,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14214,c_15021]) ).
tcf(c_36096,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(superposition,[status(thm)],[c_14214,c_105]) ).
tcf(c_36097,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14214,c_26099]) ).
tcf(c_36098,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_14) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_36097,c_14221]) ).
tcf(c_36102,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_36096,c_14220,c_14422]) ).
tcf(c_36113,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_14215]) ).
tcf(c_36116,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_669,c_14215]) ).
tcf(c_36118,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_649,c_14215]) ).
tcf(c_36119,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14215,c_15021]) ).
tcf(c_36120,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(sk_c9,X0)) ) ),
inference(superposition,[status(thm)],[c_14215,c_105]) ).
tcf(c_36121,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14215,c_6022]) ).
tcf(c_36169,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14216,c_15021]) ).
tcf(c_36170,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(superposition,[status(thm)],[c_14216,c_105]) ).
tcf(c_36171,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14216,c_26099]) ).
tcf(c_36172,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_14) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_36171,c_14221]) ).
tcf(c_36176,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_36170,c_14220,c_14422]) ).
tcf(c_36204,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_14217]) ).
tcf(c_36208,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_659,c_14217]) ).
tcf(c_36209,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_649,c_14217]) ).
tcf(c_36210,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14217,c_15021]) ).
tcf(c_36211,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(sk_c9,X0)) ) ),
inference(superposition,[status(thm)],[c_14217,c_105]) ).
tcf(c_36212,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14217,c_6022]) ).
tcf(c_36255,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14218,c_15021]) ).
tcf(c_36256,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(superposition,[status(thm)],[c_14218,c_105]) ).
tcf(c_36257,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_20,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14218,c_26099]) ).
tcf(c_36258,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_14) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_36257,c_14221]) ).
tcf(c_36262,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_21,multiply(iPr_def_14,X0)) ) ),
inference(light_normalisation,[status(thm)],[c_36256,c_14220,c_14422]) ).
tcf(c_36273,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_14219]) ).
tcf(c_36278,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_649,c_14219]) ).
tcf(c_36279,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14219,c_15021]) ).
tcf(c_36280,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(sk_c9,X0)) ) ),
inference(superposition,[status(thm)],[c_14219,c_105]) ).
tcf(c_36281,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14219,c_6022]) ).
tcf(c_36321,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_9116,c_6001]) ).
tcf(c_36323,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6001,c_15021]) ).
tcf(c_36324,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6001,c_105]) ).
tcf(c_36325,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6001,c_19119]) ).
tcf(c_36352,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_32875]) ).
tcf(c_36353,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_32875]) ).
tcf(c_36354,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_32875]) ).
tcf(c_36355,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_32875]) ).
tcf(c_36358,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_32875]) ).
tcf(c_36361,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_32875]) ).
tcf(c_36362,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32875,c_15021]) ).
tcf(c_36363,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_32875,c_105]) ).
tcf(c_36364,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_32875,c_640]) ).
tcf(c_36365,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32875,c_638]) ).
tcf(c_36366,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32875,c_641]) ).
tcf(c_36367,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32875,c_639]) ).
tcf(c_36368,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32875,c_6019]) ).
tcf(c_36369,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32875,c_6018]) ).
tcf(c_36370,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32875,c_6017]) ).
tcf(c_36371,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_32875,c_5599]) ).
tcf(c_36372,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32875,c_19174]) ).
tcf(c_36373,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32875,c_19173]) ).
tcf(c_36374,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_32875,c_19172]) ).
tcf(c_36600,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27210,c_33178]) ).
tcf(c_36601,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24123,c_33178]) ).
tcf(c_36602,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12691,c_33178]) ).
tcf(c_36603,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4899,c_33178]) ).
tcf(c_36604,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33178,c_15021]) ).
tcf(c_36606,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33178,c_2681]) ).
tcf(c_36610,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_36602,c_13590]) ).
tcf(c_36669,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_33179]) ).
tcf(c_36670,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_33179]) ).
tcf(c_36671,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12691,c_33179]) ).
tcf(c_36673,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33179,c_15021]) ).
tcf(c_36675,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_33179,c_2661]) ).
tcf(c_36676,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_33179,c_2659]) ).
tcf(c_36678,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_36676,c_13757]) ).
tcf(c_36681,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_36675,c_14243]) ).
tcf(c_36684,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_36671,c_14102]) ).
tcf(c_36699,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_33180]) ).
tcf(c_36700,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_33180]) ).
tcf(c_36701,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12691,c_33180]) ).
tcf(c_36710,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_33180,c_21381]) ).
tcf(c_36711,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c11,sk_c9) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_33180,c_5997]) ).
tcf(c_36758,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_28473,c_20609]) ).
tcf(c_36760,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,sk_c3) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20609,c_639]) ).
tcf(c_36762,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20609,c_638]) ).
tcf(c_36834,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,sk_c3) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20610,c_639]) ).
tcf(c_36836,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_20610,c_638]) ).
tcf(c_36857,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12691,c_21379]) ).
tcf(c_36858,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4899,c_21379]) ).
tcf(c_36859,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21379,c_15021]) ).
tcf(c_36860,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,iPr_def_26) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21379,c_639]) ).
tcf(c_36861,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_21379,c_104]) ).
tcf(c_36862,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_21379,c_638]) ).
tcf(c_36863,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_21379,c_20375]) ).
tcf(c_36864,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21379,c_20364]) ).
tcf(c_36865,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_36858,c_23243]) ).
tcf(c_36926,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_33178]) ).
tcf(c_36932,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_12169]) ).
tcf(c_36936,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_36865,c_13590]) ).
tcf(c_36937,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_36865,c_2658]) ).
tcf(c_36938,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_2294]) ).
tcf(c_36940,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_2081]) ).
tcf(c_36941,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_2004]) ).
tcf(c_36942,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_1809]) ).
tcf(c_36943,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_1499]) ).
tcf(c_36944,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_1186]) ).
tcf(c_36945,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_36865,c_2681]) ).
tcf(c_36946,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_36865,c_1209]) ).
tcf(c_36947,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36865,c_632]) ).
tcf(c_37027,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_28473,c_20006]) ).
tcf(c_37028,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_20006]) ).
tcf(c_37029,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1754,c_20006]) ).
tcf(c_37030,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1214,c_20006]) ).
tcf(c_37031,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1664,c_20006]) ).
tcf(c_37032,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1215,c_20006]) ).
tcf(c_37033,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1594,c_20006]) ).
tcf(c_37069,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6021,c_20006]) ).
tcf(c_37070,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6015,c_20006]) ).
tcf(c_37072,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_20006,c_15021]) ).
tcf(c_37073,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_20006,c_105]) ).
tcf(c_37266,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20820,c_634]) ).
tcf(c_37267,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20820,c_623]) ).
tcf(c_37280,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_37266,c_20530]) ).
tcf(c_37291,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_9116,c_6002]) ).
tcf(c_37293,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6002,c_15021]) ).
tcf(c_37294,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6002,c_105]) ).
tcf(c_37296,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6002,c_19119]) ).
tcf(c_37336,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37280,c_26848]) ).
tcf(c_37337,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37280,c_26621]) ).
tcf(c_37339,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37280,c_23163]) ).
tcf(c_37340,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37280,c_23038]) ).
tcf(c_37341,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37280,c_16750]) ).
tcf(c_37342,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_37280,c_16715]) ).
tcf(c_37343,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37280,c_103]) ).
tcf(c_37398,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33819,c_15021]) ).
tcf(c_37400,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_33819,c_2661]) ).
tcf(c_37401,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_33819,c_2659]) ).
tcf(c_37403,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_37401,c_13757]) ).
tcf(c_37406,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_37400,c_14243]) ).
tcf(c_37467,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_33821,c_21898]) ).
tcf(c_37468,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_37467,c_13590]) ).
tcf(c_37475,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_34025]) ).
tcf(c_37479,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_28473,c_34025]) ).
tcf(c_37480,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34025,c_15021]) ).
tcf(c_37482,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_34025,c_20375]) ).
tcf(c_37483,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34025,c_2682]) ).
tcf(c_37508,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_32683]) ).
tcf(c_37509,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_6019]) ).
tcf(c_37510,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_6018]) ).
tcf(c_37511,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_6017]) ).
tcf(c_37517,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_19174]) ).
tcf(c_37518,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_19173]) ).
tcf(c_37519,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_19172]) ).
tcf(c_37525,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_37337,c_5599]) ).
tcf(c_37526,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_3925]) ).
tcf(c_37529,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37337,c_3926]) ).
tcf(c_37536,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37337,c_1464]) ).
tcf(c_37537,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_1463]) ).
tcf(c_37538,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37337,c_1397]) ).
tcf(c_37539,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_1396]) ).
tcf(c_37540,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37337,c_1327]) ).
tcf(c_37541,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_1326]) ).
tcf(c_37542,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37337,c_3928]) ).
tcf(c_37548,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37337,c_1466]) ).
tcf(c_37549,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37337,c_1399]) ).
tcf(c_37550,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37337,c_1329]) ).
tcf(c_37551,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37337,c_5304]) ).
tcf(c_37780,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_32683]) ).
tcf(c_37781,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_6019]) ).
tcf(c_37782,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_6018]) ).
tcf(c_37783,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_6017]) ).
tcf(c_37789,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_19174]) ).
tcf(c_37790,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_19173]) ).
tcf(c_37791,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_19172]) ).
tcf(c_37797,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_37340,c_5599]) ).
tcf(c_37808,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37340,c_1464]) ).
tcf(c_37809,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_1463]) ).
tcf(c_37810,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37340,c_1397]) ).
tcf(c_37811,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_1396]) ).
tcf(c_37812,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37340,c_1327]) ).
tcf(c_37813,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_1326]) ).
tcf(c_37820,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37340,c_1466]) ).
tcf(c_37821,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37340,c_1399]) ).
tcf(c_37822,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37340,c_1329]) ).
tcf(c_37823,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_37340,c_5304]) ).
tcf(c_37971,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,sk_c4) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23245,c_639]) ).
tcf(c_37973,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23245,c_638]) ).
tcf(c_38001,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_24085]) ).
tcf(c_38003,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24085,c_15021]) ).
tcf(c_38004,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_24,iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24085,c_639]) ).
tcf(c_38005,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_24085,c_104]) ).
tcf(c_38006,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24085,c_638]) ).
tcf(c_38131,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21020,c_634]) ).
tcf(c_38132,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21020,c_623]) ).
tcf(c_38145,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_38131,c_20530]) ).
tcf(c_38208,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21726,c_3392]) ).
tcf(c_38219,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21726,c_19119]) ).
tcf(c_38220,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21726,c_19114]) ).
tcf(c_38221,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_21726,c_2657]) ).
tcf(c_38235,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21726,c_2683]) ).
tcf(c_38245,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21726,c_641]) ).
tcf(c_38246,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21726,c_1078]) ).
tcf(c_38247,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21726,c_1065]) ).
tcf(c_38248,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21726,c_1064]) ).
tcf(c_38249,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21726,c_1027]) ).
tcf(c_38250,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21726,c_1019]) ).
tcf(c_38252,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21726,c_637]) ).
tcf(c_38256,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_21726,c_667]) ).
tcf(c_38257,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21726,c_665]) ).
tcf(c_38258,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_21726,c_1207]) ).
tcf(c_38259,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21726,c_634]) ).
tcf(c_38261,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21726,c_623]) ).
tcf(c_38434,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21727,c_3392]) ).
tcf(c_38445,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21727,c_19119]) ).
tcf(c_38446,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_21727,c_19114]) ).
tcf(c_38447,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_21727,c_2657]) ).
tcf(c_38461,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_21727,c_2683]) ).
tcf(c_38468,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21727,c_1498]) ).
tcf(c_38471,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_21727,c_641]) ).
tcf(c_38472,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21727,c_1078]) ).
tcf(c_38473,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21727,c_1065]) ).
tcf(c_38474,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21727,c_1064]) ).
tcf(c_38475,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21727,c_1027]) ).
tcf(c_38476,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21727,c_1019]) ).
tcf(c_38478,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21727,c_637]) ).
tcf(c_38482,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_21727,c_667]) ).
tcf(c_38483,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_21727,c_665]) ).
tcf(c_38484,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_21727,c_1207]) ).
tcf(c_38485,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21727,c_634]) ).
tcf(c_38487,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21727,c_623]) ).
tcf(c_38617,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6003,c_15021]) ).
tcf(c_38618,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6003,c_105]) ).
tcf(c_38620,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6003,c_19119]) ).
tcf(c_38667,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38145,c_26848]) ).
tcf(c_38670,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38145,c_23163]) ).
tcf(c_38672,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38145,c_16750]) ).
tcf(c_38673,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_38145,c_16715]) ).
tcf(c_38674,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38145,c_103]) ).
tcf(c_38712,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_34391]) ).
tcf(c_38718,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34391,c_15021]) ).
tcf(c_38720,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_34391,c_20375]) ).
tcf(c_38721,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34391,c_2682]) ).
tcf(c_38759,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_34706]) ).
tcf(c_38760,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_34706]) ).
tcf(c_38761,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_34706]) ).
tcf(c_38762,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_34706]) ).
tcf(c_38763,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_34706]) ).
tcf(c_38764,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_34706]) ).
tcf(c_38765,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_34706]) ).
tcf(c_38766,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_34706]) ).
tcf(c_38767,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_34706]) ).
tcf(c_38768,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_34706]) ).
tcf(c_38769,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_34706]) ).
tcf(c_38770,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_34706]) ).
tcf(c_38771,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_34706]) ).
tcf(c_38772,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_34706]) ).
tcf(c_38773,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_34706]) ).
tcf(c_38774,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_34706]) ).
tcf(c_38775,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_34706]) ).
tcf(c_38776,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_34706]) ).
tcf(c_38777,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_34706]) ).
tcf(c_38778,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_34706]) ).
tcf(c_38779,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34706,c_15021]) ).
tcf(c_38780,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_34706,c_105]) ).
tcf(c_38781,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34706,c_640]) ).
tcf(c_38782,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34706,c_638]) ).
tcf(c_38783,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34706,c_641]) ).
tcf(c_38784,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34706,c_639]) ).
tcf(c_38785,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34706,c_6019]) ).
tcf(c_38786,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34706,c_6018]) ).
tcf(c_38787,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34706,c_6017]) ).
tcf(c_38788,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_34706,c_5599]) ).
tcf(c_38789,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34706,c_19174]) ).
tcf(c_38790,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34706,c_19173]) ).
tcf(c_38791,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_34706,c_19172]) ).
tcf(c_39222,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_34772]) ).
tcf(c_39223,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_34772]) ).
tcf(c_39224,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_34772]) ).
tcf(c_39225,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_34772]) ).
tcf(c_39226,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_34772]) ).
tcf(c_39227,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_34772]) ).
tcf(c_39228,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_34772]) ).
tcf(c_39229,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_34772]) ).
tcf(c_39230,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_34772]) ).
tcf(c_39231,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_34772]) ).
tcf(c_39232,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_34772]) ).
tcf(c_39233,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_34772]) ).
tcf(c_39234,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_34772]) ).
tcf(c_39235,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_34772]) ).
tcf(c_39238,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_34772]) ).
tcf(c_39241,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34772,c_15021]) ).
tcf(c_39242,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_34772,c_105]) ).
tcf(c_39243,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34772,c_640]) ).
tcf(c_39244,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34772,c_638]) ).
tcf(c_39245,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34772,c_641]) ).
tcf(c_39246,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34772,c_639]) ).
tcf(c_39247,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34772,c_6019]) ).
tcf(c_39248,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34772,c_6018]) ).
tcf(c_39249,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34772,c_6017]) ).
tcf(c_39250,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_34772,c_5599]) ).
tcf(c_39251,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34772,c_19174]) ).
tcf(c_39252,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34772,c_19173]) ).
tcf(c_39253,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_34772,c_19172]) ).
tcf(c_39602,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_34772]) ).
tcf(c_39603,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_34706]) ).
tcf(c_39608,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_32683]) ).
tcf(c_39609,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_6019]) ).
tcf(c_39610,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_6018]) ).
tcf(c_39611,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_6017]) ).
tcf(c_39620,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_19174]) ).
tcf(c_39621,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_19173]) ).
tcf(c_39622,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_19172]) ).
tcf(c_39625,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_38667,c_5599]) ).
tcf(c_39626,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_3925]) ).
tcf(c_39629,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38667,c_3926]) ).
tcf(c_39636,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38667,c_1464]) ).
tcf(c_39637,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_1463]) ).
tcf(c_39638,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38667,c_1397]) ).
tcf(c_39639,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_1396]) ).
tcf(c_39640,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38667,c_1327]) ).
tcf(c_39641,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_1326]) ).
tcf(c_39642,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38667,c_3928]) ).
tcf(c_39648,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38667,c_1466]) ).
tcf(c_39649,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38667,c_1399]) ).
tcf(c_39650,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38667,c_1329]) ).
tcf(c_39651,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38667,c_5304]) ).
tcf(c_39980,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_34706]) ).
tcf(c_39985,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_32683]) ).
tcf(c_39986,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_6019]) ).
tcf(c_39987,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_6018]) ).
tcf(c_39988,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_6017]) ).
tcf(c_39997,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_19174]) ).
tcf(c_39998,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_19173]) ).
tcf(c_39999,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_19172]) ).
tcf(c_40002,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_17,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_38670,c_5599]) ).
tcf(c_40013,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38670,c_1464]) ).
tcf(c_40014,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_1463]) ).
tcf(c_40015,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38670,c_1397]) ).
tcf(c_40016,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_1396]) ).
tcf(c_40017,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38670,c_1327]) ).
tcf(c_40018,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_1326]) ).
tcf(c_40025,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38670,c_1466]) ).
tcf(c_40026,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38670,c_1399]) ).
tcf(c_40027,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38670,c_1329]) ).
tcf(c_40028,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_17) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_38670,c_5304]) ).
tcf(c_40167,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_24105]) ).
tcf(c_40169,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24105,c_15021]) ).
tcf(c_40170,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_24,iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24105,c_639]) ).
tcf(c_40171,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_24105,c_104]) ).
tcf(c_40172,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24105,c_638]) ).
tcf(c_40214,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24125,c_15021]) ).
tcf(c_40215,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_24,iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24125,c_639]) ).
tcf(c_40216,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_24125,c_104]) ).
tcf(c_40217,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_24125,c_638]) ).
tcf(c_40268,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6004,c_15021]) ).
tcf(c_40269,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6004,c_105]) ).
tcf(c_40271,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_6004,c_19119]) ).
tcf(c_40287,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_34810]) ).
tcf(c_40288,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_34810]) ).
tcf(c_40289,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_34810]) ).
tcf(c_40290,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_34810]) ).
tcf(c_40291,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_34810]) ).
tcf(c_40292,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_34810]) ).
tcf(c_40293,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_34810]) ).
tcf(c_40294,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_34810]) ).
tcf(c_40295,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_34810]) ).
tcf(c_40296,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_34810]) ).
tcf(c_40297,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_34810]) ).
tcf(c_40298,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_34810]) ).
tcf(c_40299,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_34810]) ).
tcf(c_40300,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_34810]) ).
tcf(c_40301,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_34810]) ).
tcf(c_40302,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_34810]) ).
tcf(c_40303,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_34810]) ).
tcf(c_40304,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_34810]) ).
tcf(c_40305,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_34810]) ).
tcf(c_40306,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_34810]) ).
tcf(c_40307,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_34810]) ).
tcf(c_40308,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_34810]) ).
tcf(c_40309,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34810,c_15021]) ).
tcf(c_40310,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_34810,c_105]) ).
tcf(c_40311,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_34810,c_640]) ).
tcf(c_40312,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34810,c_638]) ).
tcf(c_40313,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34810,c_641]) ).
tcf(c_40314,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34810,c_639]) ).
tcf(c_40315,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34810,c_6019]) ).
tcf(c_40316,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34810,c_6018]) ).
tcf(c_40317,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34810,c_6017]) ).
tcf(c_40318,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_34810,c_5599]) ).
tcf(c_40319,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34810,c_19174]) ).
tcf(c_40320,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34810,c_19173]) ).
tcf(c_40321,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_34810,c_19172]) ).
tcf(c_40586,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34907,c_15021]) ).
tcf(c_40588,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34907,c_2681]) ).
tcf(c_40651,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34908,c_15021]) ).
tcf(c_40653,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_34908,c_2661]) ).
tcf(c_40654,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_34908,c_2659]) ).
tcf(c_40656,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_40654,c_13757]) ).
tcf(c_40659,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_40653,c_14243]) ).
tcf(c_40796,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c5 = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_26171,c_31945]) ).
tcf(c_40804,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_40796,c_26099]) ).
tcf(c_40805,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_40796,c_26094]) ).
tcf(c_40806,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_22,sk_c10) ) ),
inference(superposition,[status(thm)],[c_40796,c_13757]) ).
tcf(c_40807,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_40796,c_2659]) ).
tcf(c_40808,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40796,c_1864]) ).
tcf(c_40809,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40796,c_1543]) ).
tcf(c_40810,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40796,c_1288]) ).
tcf(c_40811,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40796,c_1177]) ).
tcf(c_40812,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40796,c_1175]) ).
tcf(c_40813,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(sk_c6,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_40796,c_2680]) ).
tcf(c_40814,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c6) = identity ) ),
inference(superposition,[status(thm)],[c_40796,c_1210]) ).
tcf(c_40815,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c6,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40796,c_630]) ).
tcf(c_40816,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(sk_c6) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_40796,c_629]) ).
tcf(c_40888,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4343,c_27015]) ).
tcf(c_40889,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27015,c_15021]) ).
tcf(c_40890,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27015,c_639]) ).
tcf(c_40891,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27015,c_104]) ).
tcf(c_40892,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27015,c_638]) ).
tcf(c_40893,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27015,c_20610]) ).
tcf(c_40894,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_27015,c_34393]) ).
tcf(c_40895,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27015,c_1667]) ).
tcf(c_40896,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27015,c_1045]) ).
tcf(c_40955,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4343,c_27057]) ).
tcf(c_40956,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27057,c_15021]) ).
tcf(c_40957,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27057,c_639]) ).
tcf(c_40958,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27057,c_104]) ).
tcf(c_40959,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27057,c_638]) ).
tcf(c_40960,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27057,c_20610]) ).
tcf(c_40961,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_27057,c_34393]) ).
tcf(c_40962,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27057,c_1667]) ).
tcf(c_40963,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27057,c_1045]) ).
tcf(c_41057,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4343,c_27211]) ).
tcf(c_41058,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27211,c_15021]) ).
tcf(c_41059,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27211,c_639]) ).
tcf(c_41060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27211,c_104]) ).
tcf(c_41061,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_27211,c_638]) ).
tcf(c_41062,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27211,c_20610]) ).
tcf(c_41063,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_27211,c_34393]) ).
tcf(c_41064,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27211,c_1667]) ).
tcf(c_41065,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27211,c_1045]) ).
tcf(c_41162,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34810,c_6005]) ).
tcf(c_41163,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34772,c_6005]) ).
tcf(c_41164,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34706,c_6005]) ).
tcf(c_41165,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32875,c_6005]) ).
tcf(c_41166,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32821,c_6005]) ).
tcf(c_41167,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32683,c_6005]) ).
tcf(c_41168,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_6005]) ).
tcf(c_41169,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19173,c_6005]) ).
tcf(c_41170,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19172,c_6005]) ).
tcf(c_41173,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_6005]) ).
tcf(c_41175,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_6005]) ).
tcf(c_41176,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_6005]) ).
tcf(c_41177,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_6005]) ).
tcf(c_41194,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6005,c_15021]) ).
tcf(c_41195,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6005,c_105]) ).
tcf(c_41197,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6005,c_19119]) ).
tcf(c_41264,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35071,c_15021]) ).
tcf(c_41266,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35071,c_2681]) ).
tcf(c_41293,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35072,c_15021]) ).
tcf(c_41295,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_35072,c_2661]) ).
tcf(c_41296,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_35072,c_2659]) ).
tcf(c_41298,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_41296,c_13757]) ).
tcf(c_41301,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_41295,c_14243]) ).
tcf(c_41331,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_35886]) ).
tcf(c_41333,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_35886]) ).
tcf(c_41334,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_35886]) ).
tcf(c_41336,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_35886]) ).
tcf(c_41337,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_35886]) ).
tcf(c_41338,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_35886]) ).
tcf(c_41339,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_35886]) ).
tcf(c_41340,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_35886]) ).
tcf(c_41347,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35886,c_15021]) ).
tcf(c_41348,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35886,c_105]) ).
tcf(c_41349,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35886,c_640]) ).
tcf(c_41350,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35886,c_638]) ).
tcf(c_41351,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35886,c_641]) ).
tcf(c_41352,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35886,c_639]) ).
tcf(c_41353,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35886,c_6005]) ).
tcf(c_41354,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35886,c_6019]) ).
tcf(c_41355,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35886,c_6018]) ).
tcf(c_41356,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35886,c_6017]) ).
tcf(c_41357,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_35886,c_5599]) ).
tcf(c_41358,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35886,c_19174]) ).
tcf(c_41359,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_35886,c_19173]) ).
tcf(c_41360,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_35886,c_19172]) ).
tcf(c_41537,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_34391]) ).
tcf(c_41538,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_34025]) ).
tcf(c_41540,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_22,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_41062,c_20375]) ).
tcf(c_41547,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41062,c_21476]) ).
tcf(c_41553,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41062,c_20535]) ).
tcf(c_41554,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_41062,c_20530]) ).
tcf(c_41557,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41062,c_20364]) ).
tcf(c_41576,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_41062,c_2657]) ).
tcf(c_41578,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_1665]) ).
tcf(c_41579,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_1595]) ).
tcf(c_41581,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_1397]) ).
tcf(c_41582,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_1327]) ).
tcf(c_41583,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_1194]) ).
tcf(c_41584,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_1193]) ).
tcf(c_41585,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41062,c_2682]) ).
tcf(c_41586,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_41062,c_1208]) ).
tcf(c_41587,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41062,c_634]) ).
tcf(c_41588,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_41062,c_633]) ).
tcf(c_41711,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_27211]) ).
tcf(c_41712,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_27057]) ).
tcf(c_41713,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_27015]) ).
tcf(c_41714,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41547,c_34391]) ).
tcf(c_41715,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_41547,c_20610]) ).
tcf(c_41716,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_34393]) ).
tcf(c_41717,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_41547,c_27213]) ).
tcf(c_41719,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41547,c_6021]) ).
tcf(c_41720,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41547,c_6015]) ).
tcf(c_41722,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_27630]) ).
tcf(c_41725,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_15,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_41547,c_5730]) ).
tcf(c_41726,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41547,c_1665]) ).
tcf(c_41727,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_41547,c_1664]) ).
tcf(c_41728,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_41547,c_1215]) ).
tcf(c_41729,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41547,c_1193]) ).
tcf(c_41730,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41547,c_4343]) ).
tcf(c_41731,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_1667]) ).
tcf(c_41732,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_41547,c_5696]) ).
tcf(c_41733,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_1045]) ).
tcf(c_41738,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_41715,c_19364]) ).
tcf(c_41741,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_41711,c_19364]) ).
tcf(c_41748,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_41733,c_19364]) ).
tcf(c_41753,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_41716,c_19364]) ).
tcf(c_41851,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_12838]) ).
tcf(c_41852,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_12719]) ).
tcf(c_41853,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_15076]) ).
tcf(c_41854,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_41722,c_3248]) ).
tcf(c_41855,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_41722,c_3167]) ).
tcf(c_41856,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_3249]) ).
tcf(c_41857,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_3168]) ).
tcf(c_41858,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_41722,c_3049]) ).
tcf(c_41859,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_41722,c_2934]) ).
tcf(c_41860,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_41722,c_2822]) ).
tcf(c_41861,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_3050]) ).
tcf(c_41862,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_2935]) ).
tcf(c_41863,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_2823]) ).
tcf(c_41864,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,sk_c9) ) ),
inference(superposition,[status(thm)],[c_41722,c_14472]) ).
tcf(c_41865,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_41722,c_2605]) ).
tcf(c_41866,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41722,c_2606]) ).
tcf(c_41867,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_12840]) ).
tcf(c_41868,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_12721]) ).
tcf(c_41869,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_3251]) ).
tcf(c_41870,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_3170]) ).
tcf(c_41871,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_3052]) ).
tcf(c_41872,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_2937]) ).
tcf(c_41873,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_2825]) ).
tcf(c_41874,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41722,c_2608]) ).
tcf(c_46825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_14219]) ).
tcf(c_46826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_14217]) ).
tcf(c_46827,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_14215]) ).
tcf(c_46828,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_14213]) ).
tcf(c_46830,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,sk_c9) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_14211]) ).
tcf(c_46834,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41730,c_19958]) ).
tcf(c_46836,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41730,c_19947]) ).
tcf(c_46838,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41730,c_18232]) ).
tcf(c_46839,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41730,c_18224]) ).
tcf(c_46840,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41730,c_17929]) ).
tcf(c_46841,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41730,c_17920]) ).
tcf(c_46842,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_15072]) ).
tcf(c_46843,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_15) = multiply(iPr_def_16,sk_c10) ) ),
inference(superposition,[status(thm)],[c_41730,c_14243]) ).
tcf(c_46844,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_15) = multiply(iPr_def_22,sk_c10) ) ),
inference(superposition,[status(thm)],[c_41730,c_13757]) ).
tcf(c_46934,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_35204]) ).
tcf(c_46935,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_35204]) ).
tcf(c_46936,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_27207,c_35204]) ).
tcf(c_46937,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_24946,c_35204]) ).
tcf(c_46938,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_24933,c_35204]) ).
tcf(c_46939,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35204,c_15021]) ).
tcf(c_46940,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_35204,c_105]) ).
tcf(c_46941,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35204,c_6022]) ).
tcf(c_46942,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35204,c_6016]) ).
tcf(c_47097,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_36010]) ).
tcf(c_47098,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_36010]) ).
tcf(c_47099,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_27207,c_36010]) ).
tcf(c_47100,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_24946,c_36010]) ).
tcf(c_47101,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_24933,c_36010]) ).
tcf(c_47102,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36010,c_15021]) ).
tcf(c_47103,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_36010,c_105]) ).
tcf(c_47105,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36010,c_6016]) ).
tcf(c_47201,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_36116]) ).
tcf(c_47202,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_36116]) ).
tcf(c_47203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_27207,c_36116]) ).
tcf(c_47204,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_24946,c_36116]) ).
tcf(c_47205,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_24933,c_36116]) ).
tcf(c_47206,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36116,c_15021]) ).
tcf(c_47207,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_36116,c_105]) ).
tcf(c_47208,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36116,c_6022]) ).
tcf(c_47251,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34810,c_6006]) ).
tcf(c_47253,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34706,c_6006]) ).
tcf(c_47254,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32875,c_6006]) ).
tcf(c_47255,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32821,c_6006]) ).
tcf(c_47256,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32683,c_6006]) ).
tcf(c_47257,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_6006]) ).
tcf(c_47258,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19173,c_6006]) ).
tcf(c_47259,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19172,c_6006]) ).
tcf(c_47283,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6006,c_15021]) ).
tcf(c_47284,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6006,c_105]) ).
tcf(c_47286,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6006,c_19119]) ).
tcf(c_47346,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27630,c_41588]) ).
tcf(c_47347,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4343,c_41588]) ).
tcf(c_47349,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_25) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_41588,c_639]) ).
tcf(c_47351,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_41588,c_638]) ).
tcf(c_47355,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_41588,c_20610]) ).
tcf(c_47356,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_41588,c_34393]) ).
tcf(c_47357,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_41588,c_1667]) ).
tcf(c_47358,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41588,c_1045]) ).
tcf(c_47439,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_35915]) ).
tcf(c_47442,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_35915]) ).
tcf(c_47443,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_35915]) ).
tcf(c_47444,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_35915]) ).
tcf(c_47445,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_35915]) ).
tcf(c_47446,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_35915]) ).
tcf(c_47453,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35915,c_15021]) ).
tcf(c_47454,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35915,c_105]) ).
tcf(c_47455,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35915,c_640]) ).
tcf(c_47456,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35915,c_638]) ).
tcf(c_47457,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35915,c_641]) ).
tcf(c_47458,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35915,c_639]) ).
tcf(c_47460,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35915,c_6005]) ).
tcf(c_47461,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35915,c_6019]) ).
tcf(c_47462,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35915,c_6018]) ).
tcf(c_47463,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35915,c_6017]) ).
tcf(c_47464,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_35915,c_5599]) ).
tcf(c_47465,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35915,c_19174]) ).
tcf(c_47466,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_35915,c_19173]) ).
tcf(c_47467,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_35915,c_19172]) ).
tcf(c_47617,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_35960]) ).
tcf(c_47618,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_35960]) ).
tcf(c_47620,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_35960]) ).
tcf(c_47623,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_35960]) ).
tcf(c_47625,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_35960]) ).
tcf(c_47626,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_35960]) ).
tcf(c_47627,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_35960]) ).
tcf(c_47628,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_35960]) ).
tcf(c_47635,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35960,c_15021]) ).
tcf(c_47636,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_35960,c_105]) ).
tcf(c_47637,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_35960,c_640]) ).
tcf(c_47638,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35960,c_638]) ).
tcf(c_47639,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_28) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35960,c_641]) ).
tcf(c_47640,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35960,c_639]) ).
tcf(c_47642,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35960,c_6005]) ).
tcf(c_47643,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35960,c_6019]) ).
tcf(c_47644,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35960,c_6018]) ).
tcf(c_47645,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_35960,c_6017]) ).
tcf(c_47646,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_35960,c_5599]) ).
tcf(c_47647,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35960,c_19174]) ).
tcf(c_47648,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_35960,c_19173]) ).
tcf(c_47649,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_35960,c_19172]) ).
tcf(c_47811,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_36861]) ).
tcf(c_47813,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36861,c_15021]) ).
tcf(c_47814,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_36861,c_105]) ).
tcf(c_47816,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_26) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_36861,c_5997]) ).
tcf(c_47819,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_47813,c_30154]) ).
tcf(c_47834,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_41738,c_41062]) ).
tcf(c_47835,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_34391]) ).
tcf(c_47836,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_34025]) ).
tcf(c_47838,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c11,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_41738,c_20375]) ).
tcf(c_47851,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41738,c_20535]) ).
tcf(c_47852,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_41738,c_20530]) ).
tcf(c_47855,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41738,c_20364]) ).
tcf(c_47874,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_41738,c_2657]) ).
tcf(c_47876,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_1665]) ).
tcf(c_47877,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_1595]) ).
tcf(c_47880,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c11,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_1327]) ).
tcf(c_47881,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_1194]) ).
tcf(c_47882,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_1193]) ).
tcf(c_47883,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41738,c_2682]) ).
tcf(c_47884,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_41738,c_1208]) ).
tcf(c_47885,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_634]) ).
tcf(c_47886,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(sk_c11) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_41738,c_633]) ).
tcf(c_47889,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_47886,c_623]) ).
tcf(c_48080,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41741,c_3392]) ).
tcf(c_48093,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_41741,c_2657]) ).
tcf(c_48109,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41741,c_2683]) ).
tcf(c_48116,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1498]) ).
tcf(c_48117,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1375]) ).
tcf(c_48118,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1309]) ).
tcf(c_48119,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_41741,c_641]) ).
tcf(c_48120,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1078]) ).
tcf(c_48121,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1065]) ).
tcf(c_48122,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1064]) ).
tcf(c_48123,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1027]) ).
tcf(c_48124,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1019]) ).
tcf(c_48125,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_41741,c_1007]) ).
tcf(c_48126,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41741,c_637]) ).
tcf(c_48132,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_41741,c_665]) ).
tcf(c_48133,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_41741,c_1207]) ).
tcf(c_48134,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41741,c_634]) ).
tcf(c_48248,plain,
( ( iPr_def_14 = sk_c11 )
| ( iPr_def_14 != iPr_def_23 )
| ( sk_c11 != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_1263]) ).
tcf(c_48307,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_34391]) ).
tcf(c_48308,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_34025]) ).
tcf(c_48310,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_25,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_47355,c_20375]) ).
tcf(c_48327,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_47355,c_20364]) ).
tcf(c_48346,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_47355,c_2657]) ).
tcf(c_48348,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_1665]) ).
tcf(c_48349,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_1595]) ).
tcf(c_48352,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_1327]) ).
tcf(c_48353,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_1194]) ).
tcf(c_48354,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_1193]) ).
tcf(c_48355,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_47355,c_2682]) ).
tcf(c_48356,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_47355,c_1208]) ).
tcf(c_48357,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_634]) ).
tcf(c_48358,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_47355,c_633]) ).
tcf(c_48418,plain,
( ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_26 )
| ( sk_c11 != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_1317]) ).
tcf(c_48426,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,X1) = iPr_def_14 )
| ( iPr_def_14 != iPr_def_26 )
| ( multiply(X0,X1) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_2269]) ).
tcf(c_48427,plain,
( ( multiply(sk_c11,sk_c11) = iPr_def_14 )
| ( iPr_def_14 != iPr_def_26 )
| ( multiply(sk_c11,sk_c11) != iPr_def_26 ) ),
inference(instantiation,[status(thm)],[c_48426]) ).
tcf(c_48495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47834,c_3392]) ).
tcf(c_48506,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_47834,c_19119]) ).
tcf(c_48507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_47834,c_19114]) ).
tcf(c_48508,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_47834,c_2657]) ).
tcf(c_48522,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_47834,c_2683]) ).
tcf(c_48532,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_47834,c_641]) ).
tcf(c_48533,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_47834,c_1078]) ).
tcf(c_48534,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_47834,c_1065]) ).
tcf(c_48535,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_47834,c_1064]) ).
tcf(c_48536,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_47834,c_1027]) ).
tcf(c_48537,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_47834,c_1019]) ).
tcf(c_48539,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_47834,c_637]) ).
tcf(c_48544,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_47834,c_665]) ).
tcf(c_48545,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_47834,c_1207]) ).
tcf(c_48546,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47834,c_634]) ).
tcf(c_48548,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_47834,c_623]) ).
tcf(c_48608,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_36208]) ).
tcf(c_48609,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_14,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_36208]) ).
tcf(c_48610,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_27207,c_36208]) ).
tcf(c_48611,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_24946,c_36208]) ).
tcf(c_48612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_24933,c_36208]) ).
tcf(c_48613,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36208,c_15021]) ).
tcf(c_48614,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_36208,c_105]) ).
tcf(c_48615,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36208,c_6022]) ).
tcf(c_48825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_41730,c_36278]) ).
tcf(c_48826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_24) = multiply(iPr_def_18,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_28473,c_36278]) ).
tcf(c_48827,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_27207,c_36278]) ).
tcf(c_48828,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_24946,c_36278]) ).
tcf(c_48829,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_24933,c_36278]) ).
tcf(c_48830,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36278,c_15021]) ).
tcf(c_48831,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(multiply(iPr_def_18,iPr_def_14),X0) = multiply(iPr_def_20,multiply(iPr_def_24,X0)) ) ),
inference(superposition,[status(thm)],[c_36278,c_105]) ).
tcf(c_48832,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_18,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36278,c_6022]) ).
tcf(c_48941,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_47834]) ).
tcf(c_48945,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48132,c_3392]) ).
tcf(c_48952,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_21608]) ).
tcf(c_48956,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48132,c_19119]) ).
tcf(c_48957,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_48132,c_19114]) ).
tcf(c_48958,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_48132,c_2657]) ).
tcf(c_48972,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48132,c_2683]) ).
tcf(c_48979,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_1498]) ).
tcf(c_48982,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48132,c_641]) ).
tcf(c_48983,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_1078]) ).
tcf(c_48984,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_1065]) ).
tcf(c_48985,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_1064]) ).
tcf(c_48986,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_1027]) ).
tcf(c_48987,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48132,c_1019]) ).
tcf(c_48989,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48132,c_637]) ).
tcf(c_48995,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_48132,c_1207]) ).
tcf(c_48996,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48132,c_634]) ).
tcf(c_48998,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48132,c_623]) ).
tcf(c_49237,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48544,c_3392]) ).
tcf(c_49248,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48544,c_19119]) ).
tcf(c_49249,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_48544,c_19114]) ).
tcf(c_49250,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_48544,c_2657]) ).
tcf(c_49264,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_48544,c_2683]) ).
tcf(c_49271,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48544,c_1498]) ).
tcf(c_49274,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_48544,c_641]) ).
tcf(c_49275,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48544,c_1078]) ).
tcf(c_49276,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48544,c_1065]) ).
tcf(c_49277,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48544,c_1064]) ).
tcf(c_49278,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48544,c_1027]) ).
tcf(c_49279,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48544,c_1019]) ).
tcf(c_49281,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48544,c_637]) ).
tcf(c_49286,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_48544,c_665]) ).
tcf(c_49287,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_48544,c_1207]) ).
tcf(c_49288,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48544,c_634]) ).
tcf(c_49290,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48544,c_623]) ).
tcf(c_49408,plain,
( ~ iPr_def_11
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_2450,c_16750]) ).
tcf(c_49421,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_24 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_659,c_49408]) ).
tcf(c_49427,plain,
( ~ iPr_def_10
| ( sk_c11 != identity )
| ( sk_c11 != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_3367,c_16750]) ).
tcf(c_49437,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_35002,c_49427]) ).
tcf(c_49438,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_34838,c_49427]) ).
tcf(c_49439,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_32439,c_49427]) ).
tcf(c_49440,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_26 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_32437,c_49427]) ).
tcf(c_49441,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_26118,c_49427]) ).
tcf(c_49442,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_21917,c_49427]) ).
tcf(c_49448,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_12031,c_49427]) ).
tcf(c_49455,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_14 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_8900,c_49427]) ).
tcf(c_49458,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_2289,c_49427]) ).
tcf(c_49459,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_2051,c_49427]) ).
tcf(c_49460,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_1978,c_49427]) ).
tcf(c_49461,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_26 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_691,c_49427]) ).
tcf(c_49462,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_690,c_49427]) ).
tcf(c_49463,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_688,c_49427]) ).
tcf(c_49464,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_687,c_49427]) ).
tcf(c_49465,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_15 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_685,c_49427]) ).
tcf(c_49468,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_26 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_671,c_49427]) ).
tcf(c_49469,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_668,c_49427]) ).
tcf(c_49641,plain,
( ~ iPr_def_10
| ( sk_c10 != identity ) ),
inference(ground_joinability,[status(thm)],[c_3370,c_19364]) ).
tcf(c_49648,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35002,c_49641]) ).
tcf(c_49649,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34838,c_49641]) ).
tcf(c_49650,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32439,c_49641]) ).
tcf(c_49651,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_10
| ( identity != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32437,c_49641]) ).
tcf(c_49652,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26118,c_49641]) ).
tcf(c_49653,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21917,c_49641]) ).
tcf(c_49659,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12031,c_49641]) ).
tcf(c_49666,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( identity != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_8900,c_49641]) ).
tcf(c_49669,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2289,c_49641]) ).
tcf(c_49670,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2051,c_49641]) ).
tcf(c_49671,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1978,c_49641]) ).
tcf(c_49672,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( identity != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_691,c_49641]) ).
tcf(c_49673,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_690,c_49641]) ).
tcf(c_49674,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_688,c_49641]) ).
tcf(c_49675,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_49641]) ).
tcf(c_49676,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( identity != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_685,c_49641]) ).
tcf(c_49679,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( identity != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_49641]) ).
tcf(c_49680,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10
| ( identity != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_668,c_49641]) ).
tcf(c_49858,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34810,c_6007]) ).
tcf(c_49860,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_34706,c_6007]) ).
tcf(c_49861,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32875,c_6007]) ).
tcf(c_49863,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32683,c_6007]) ).
tcf(c_49864,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_6007]) ).
tcf(c_49865,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19173,c_6007]) ).
tcf(c_49866,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19172,c_6007]) ).
tcf(c_49890,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6007,c_15021]) ).
tcf(c_49891,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6007,c_105]) ).
tcf(c_49893,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6007,c_19119]) ).
tcf(c_49919,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_47889,c_20535]) ).
tcf(c_49921,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_47889,c_20530]) ).
tcf(c_49924,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_47889,c_5997]) ).
tcf(c_49929,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_47889,c_5985]) ).
tcf(c_49930,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_47889,c_2682]) ).
tcf(c_49931,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_47889,c_1208]) ).
tcf(c_49974,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27630,c_48548]) ).
tcf(c_49975,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_4343,c_48548]) ).
tcf(c_49977,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_48548,c_639]) ).
tcf(c_49979,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_48548,c_638]) ).
tcf(c_49983,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_48548,c_27015]) ).
tcf(c_50007,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27629,c_36947]) ).
tcf(c_50008,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12809,c_36947]) ).
tcf(c_50011,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32439,c_36947]) ).
tcf(c_50016,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12536,c_36947]) ).
tcf(c_50025,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10254,c_36947]) ).
tcf(c_50027,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8900,c_36947]) ).
tcf(c_50035,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_688,c_36947]) ).
tcf(c_50039,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_678,c_36947]) ).
tcf(c_50041,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_668,c_36947]) ).
tcf(c_50043,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_648,c_36947]) ).
tcf(c_50044,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_36947,c_15021]) ).
tcf(c_50046,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_36947,c_640]) ).
tcf(c_50047,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_36947,c_21898]) ).
tcf(c_50079,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_50046,c_23243]) ).
tcf(c_50191,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_37343,c_15021]) ).
tcf(c_50192,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_37343,c_105]) ).
tcf(c_50193,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_37343,c_640]) ).
tcf(c_50194,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_37343,c_638]) ).
tcf(c_50195,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_37343,c_641]) ).
tcf(c_50196,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_37343,c_639]) ).
tcf(c_50197,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_28 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37343,c_33180]) ).
tcf(c_50198,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37343,c_2296]) ).
tcf(c_50199,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37343,c_1811]) ).
tcf(c_50200,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37343,c_1501]) ).
tcf(c_50201,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_37343,c_1077]) ).
tcf(c_50202,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_37343,c_5997]) ).
tcf(c_50203,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37343,c_12073]) ).
tcf(c_50204,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37343,c_10297]) ).
tcf(c_50205,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_37343,c_8942]) ).
tcf(c_50206,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_37343,c_5551]) ).
tcf(c_50207,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_37343,c_5968]) ).
tcf(c_50209,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c3 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37343,c_20361]) ).
tcf(c_50338,plain,
( ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50209,c_47355]) ).
tcf(c_50343,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_50209,c_20375]) ).
tcf(c_50353,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50209,c_20535]) ).
tcf(c_50354,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_50209,c_20530]) ).
tcf(c_50357,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50209,c_20364]) ).
tcf(c_50376,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_50209,c_2657]) ).
tcf(c_50381,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50209,c_1397]) ).
tcf(c_50382,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50209,c_1327]) ).
tcf(c_50385,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50209,c_2682]) ).
tcf(c_50386,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_50209,c_1208]) ).
tcf(c_50387,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50209,c_634]) ).
tcf(c_50388,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50209,c_633]) ).
tcf(c_50389,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_50388,c_19364]) ).
tcf(c_50471,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50389,c_48132]) ).
tcf(c_50477,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50389,c_3392]) ).
tcf(c_50480,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50389,c_26119]) ).
tcf(c_50483,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50389,c_21918]) ).
tcf(c_50486,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50389,c_20560]) ).
tcf(c_50489,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_50389,c_2657]) ).
tcf(c_50494,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50389,c_10426]) ).
tcf(c_50513,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50389,c_641]) ).
tcf(c_50514,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50389,c_1078]) ).
tcf(c_50518,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50389,c_1019]) ).
tcf(c_50520,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50389,c_637]) ).
tcf(c_50524,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50389,c_667]) ).
tcf(c_50525,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50389,c_665]) ).
tcf(c_50527,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50389,c_634]) ).
tcf(c_50528,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50389,c_623]) ).
tcf(c_50670,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_41547,c_28383]) ).
tcf(c_50672,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_4343,c_28383]) ).
tcf(c_50674,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,sk_c4) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28383,c_639]) ).
tcf(c_50676,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_28383,c_638]) ).
tcf(c_50677,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28383,c_48548]) ).
tcf(c_50678,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_28383,c_41588]) ).
tcf(c_50679,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28383,c_27211]) ).
tcf(c_50682,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = sk_c4 ) ),
inference(superposition,[status(thm)],[c_28383,c_20610]) ).
tcf(c_50683,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( sk_c4 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_28383,c_34393]) ).
tcf(c_50696,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_50670,c_19364]) ).
tcf(c_50741,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50677,c_36865]) ).
tcf(c_50742,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_33178]) ).
tcf(c_50746,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50677,c_21898]) ).
tcf(c_50747,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_50677,c_21893]) ).
tcf(c_50748,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_12169]) ).
tcf(c_50752,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_50677,c_13590]) ).
tcf(c_50753,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_50677,c_2658]) ).
tcf(c_50754,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_2294]) ).
tcf(c_50757,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_2004]) ).
tcf(c_50758,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_1809]) ).
tcf(c_50759,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_1499]) ).
tcf(c_50760,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_1186]) ).
tcf(c_50761,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50677,c_2681]) ).
tcf(c_50762,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_50677,c_1209]) ).
tcf(c_50763,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50677,c_632]) ).
tcf(c_50764,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50677,c_631]) ).
tcf(c_50767,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_50764,c_19364]) ).
tcf(c_50912,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_49672,c_3392,c_12099,c_12256]) ).
tcf(c_50924,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38145,c_49673]) ).
tcf(c_50926,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34339,c_49673]) ).
tcf(c_50927,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34338,c_49673]) ).
tcf(c_50928,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33973,c_49673]) ).
tcf(c_50929,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33828,c_49673]) ).
tcf(c_50930,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33772,c_49673]) ).
tcf(c_50931,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33478,c_49673]) ).
tcf(c_50932,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32436,c_49673]) ).
tcf(c_50933,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32435,c_49673]) ).
tcf(c_50934,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32434,c_49673]) ).
tcf(c_50936,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26848,c_49673]) ).
tcf(c_50939,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23163,c_49673]) ).
tcf(c_51028,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != iPr_def_15 )
| ( inverse(X0) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_2120]) ).
tcf(c_51029,plain,
( ( inverse(sk_c11) = sk_c11 )
| ( sk_c11 != iPr_def_15 )
| ( inverse(sk_c11) != iPr_def_15 ) ),
inference(instantiation,[status(thm)],[c_51028]) ).
tcf(c_51043,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38145,c_49675]) ).
tcf(c_51044,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37280,c_49675]) ).
tcf(c_51045,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34339,c_49675]) ).
tcf(c_51046,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34338,c_49675]) ).
tcf(c_51047,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33973,c_49675]) ).
tcf(c_51048,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33828,c_49675]) ).
tcf(c_51049,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33772,c_49675]) ).
tcf(c_51050,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33478,c_49675]) ).
tcf(c_51051,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32436,c_49675]) ).
tcf(c_51052,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32435,c_49675]) ).
tcf(c_51053,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32434,c_49675]) ).
tcf(c_51055,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26848,c_49675]) ).
tcf(c_51056,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26621,c_49675]) ).
tcf(c_51058,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23163,c_49675]) ).
tcf(c_51059,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23038,c_49675]) ).
tcf(c_51183,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_38145,c_49676]) ).
tcf(c_51184,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_37280,c_49676]) ).
tcf(c_51185,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34339,c_49676]) ).
tcf(c_51186,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34338,c_49676]) ).
tcf(c_51187,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33973,c_49676]) ).
tcf(c_51188,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33828,c_49676]) ).
tcf(c_51189,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33772,c_49676]) ).
tcf(c_51190,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_33478,c_49676]) ).
tcf(c_51191,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32436,c_49676]) ).
tcf(c_51192,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32435,c_49676]) ).
tcf(c_51193,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32434,c_49676]) ).
tcf(c_51194,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26849,c_49676]) ).
tcf(c_51195,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26848,c_49676]) ).
tcf(c_51196,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26621,c_49676]) ).
tcf(c_51197,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23164,c_49676]) ).
tcf(c_51198,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23163,c_49676]) ).
tcf(c_51199,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23038,c_49676]) ).
tcf(c_51200,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20988,c_49676]) ).
tcf(c_51434,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_49679,c_3392,c_9018,c_9061]) ).
tcf(c_51501,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50524,c_48132]) ).
tcf(c_51506,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50524,c_3392]) ).
tcf(c_51509,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50524,c_26119]) ).
tcf(c_51512,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50524,c_21918]) ).
tcf(c_51516,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50524,c_20560]) ).
tcf(c_51517,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50524,c_19119]) ).
tcf(c_51518,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_50524,c_19114]) ).
tcf(c_51519,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_50524,c_2657]) ).
tcf(c_51533,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50524,c_2683]) ).
tcf(c_51543,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50524,c_641]) ).
tcf(c_51544,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50524,c_1078]) ).
tcf(c_51546,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50524,c_1064]) ).
tcf(c_51548,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50524,c_1019]) ).
tcf(c_51550,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50524,c_637]) ).
tcf(c_51554,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50524,c_667]) ).
tcf(c_51555,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50524,c_665]) ).
tcf(c_51556,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_50524,c_1207]) ).
tcf(c_51557,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50524,c_634]) ).
tcf(c_51559,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50524,c_623]) ).
tcf(c_51732,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41722,c_6008]) ).
tcf(c_51733,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6008,c_15021]) ).
tcf(c_51734,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6008,c_105]) ).
tcf(c_51736,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6008,c_19119]) ).
tcf(c_51764,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38005,c_15021]) ).
tcf(c_51765,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_38005,c_105]) ).
tcf(c_51766,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_38005,c_5553]) ).
tcf(c_51770,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_38005,c_5756]) ).
tcf(c_51803,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_38674,c_15021]) ).
tcf(c_51804,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_38674,c_105]) ).
tcf(c_51805,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_38674,c_640]) ).
tcf(c_51806,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_26) )
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38674,c_638]) ).
tcf(c_51807,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_26) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38674,c_641]) ).
tcf(c_51808,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_26) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38674,c_639]) ).
tcf(c_51809,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( identity = iPr_def_28 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_38674,c_33180]) ).
tcf(c_51810,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38674,c_2296]) ).
tcf(c_51811,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_38674,c_1811]) ).
tcf(c_51812,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38674,c_1501]) ).
tcf(c_51813,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38674,c_1077]) ).
tcf(c_51814,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_38674,c_5997]) ).
tcf(c_51815,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c10 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38674,c_12073]) ).
tcf(c_51816,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_38674,c_10297]) ).
tcf(c_51817,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_38674,c_8942]) ).
tcf(c_51818,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38674,c_5551]) ).
tcf(c_51819,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,X0) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_38674,c_5968]) ).
tcf(c_51821,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c3 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38674,c_20361]) ).
tcf(c_51989,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_40171,c_15021]) ).
tcf(c_51990,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_40171,c_105]) ).
tcf(c_51991,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_40171,c_5553]) ).
tcf(c_51995,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_40171,c_5756]) ).
tcf(c_52040,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_40216,c_15021]) ).
tcf(c_52041,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_40216,c_105]) ).
tcf(c_52042,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_40216,c_5553]) ).
tcf(c_52046,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_40216,c_5756]) ).
tcf(c_52084,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50678,c_36865]) ).
tcf(c_52085,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_33178]) ).
tcf(c_52089,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50678,c_21898]) ).
tcf(c_52090,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_50678,c_21893]) ).
tcf(c_52091,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_12169]) ).
tcf(c_52095,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_50678,c_13590]) ).
tcf(c_52096,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_50678,c_2658]) ).
tcf(c_52097,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_2294]) ).
tcf(c_52100,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_2004]) ).
tcf(c_52101,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_1809]) ).
tcf(c_52102,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_1499]) ).
tcf(c_52103,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_1186]) ).
tcf(c_52104,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50678,c_2681]) ).
tcf(c_52105,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_50678,c_1209]) ).
tcf(c_52106,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50678,c_632]) ).
tcf(c_52107,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50678,c_631]) ).
tcf(c_52110,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_52107,c_20601]) ).
tcf(c_52125,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_52103,c_5985]) ).
tcf(c_52129,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_52102,c_5985]) ).
tcf(c_52133,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_52101,c_5985]) ).
tcf(c_52140,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_52097,c_5985]) ).
tcf(c_52149,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_52085,c_5985]) ).
tcf(c_52233,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_33178]) ).
tcf(c_52237,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50679,c_21898]) ).
tcf(c_52238,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_50679,c_21893]) ).
tcf(c_52239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_12169]) ).
tcf(c_52243,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_50679,c_13590]) ).
tcf(c_52244,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_50679,c_2658]) ).
tcf(c_52245,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_2294]) ).
tcf(c_52248,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_2004]) ).
tcf(c_52249,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_1809]) ).
tcf(c_52250,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_1499]) ).
tcf(c_52251,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_1186]) ).
tcf(c_52252,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50679,c_2681]) ).
tcf(c_52253,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_50679,c_1209]) ).
tcf(c_52255,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50679,c_631]) ).
tcf(c_52392,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_33178]) ).
tcf(c_52396,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50682,c_21898]) ).
tcf(c_52397,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_50682,c_21893]) ).
tcf(c_52398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_12169]) ).
tcf(c_52402,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_50682,c_13590]) ).
tcf(c_52403,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_50682,c_2658]) ).
tcf(c_52404,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_2294]) ).
tcf(c_52407,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_2004]) ).
tcf(c_52408,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_1809]) ).
tcf(c_52409,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_1499]) ).
tcf(c_52410,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_1186]) ).
tcf(c_52411,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50682,c_2681]) ).
tcf(c_52412,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_50682,c_1209]) ).
tcf(c_52413,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50682,c_632]) ).
tcf(c_52414,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(sk_c3) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50682,c_631]) ).
tcf(c_52516,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_33178]) ).
tcf(c_52520,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50696,c_21898]) ).
tcf(c_52521,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_50696,c_21893]) ).
tcf(c_52522,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c11,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_12169]) ).
tcf(c_52526,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_50696,c_13590]) ).
tcf(c_52527,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_50696,c_2658]) ).
tcf(c_52528,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_2294]) ).
tcf(c_52531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c11,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_2004]) ).
tcf(c_52532,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_1809]) ).
tcf(c_52533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_1499]) ).
tcf(c_52534,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_1186]) ).
tcf(c_52535,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50696,c_2681]) ).
tcf(c_52536,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = identity ) ),
inference(superposition,[status(thm)],[c_50696,c_1209]) ).
tcf(c_52537,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50696,c_632]) ).
tcf(c_52538,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_50696,c_631]) ).
tcf(c_52672,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50525,c_41741]) ).
tcf(c_52675,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50525,c_3392]) ).
tcf(c_52678,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50525,c_26119]) ).
tcf(c_52681,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50525,c_21918]) ).
tcf(c_52685,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50525,c_20560]) ).
tcf(c_52686,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50525,c_19119]) ).
tcf(c_52687,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_50525,c_19114]) ).
tcf(c_52688,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_50525,c_2657]) ).
tcf(c_52702,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50525,c_2683]) ).
tcf(c_52709,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50525,c_1498]) ).
tcf(c_52712,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50525,c_641]) ).
tcf(c_52713,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50525,c_1078]) ).
tcf(c_52714,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50525,c_1065]) ).
tcf(c_52715,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50525,c_1064]) ).
tcf(c_52716,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50525,c_1027]) ).
tcf(c_52717,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50525,c_1019]) ).
tcf(c_52719,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50525,c_637]) ).
tcf(c_52723,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_50525,c_667]) ).
tcf(c_52724,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50525,c_665]) ).
tcf(c_52725,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_50525,c_1207]) ).
tcf(c_52726,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50525,c_634]) ).
tcf(c_52728,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50525,c_623]) ).
tcf(c_52949,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_4074,c_637,c_1278,c_1279,c_1562,c_1978,c_8611,c_8612]) ).
tcf(c_52961,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_18 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_4199,c_637,c_1278,c_1279,c_1631,c_2051,c_8611,c_8612]) ).
tcf(c_52985,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_35002,c_4346]) ).
tcf(c_52986,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_34838,c_4346]) ).
tcf(c_52989,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26118,c_4346]) ).
tcf(c_52990,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21917,c_4346]) ).
tcf(c_52996,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_4346]) ).
tcf(c_53003,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8900,c_4346]) ).
tcf(c_53006,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2289,c_4346]) ).
tcf(c_53007,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2051,c_4346]) ).
tcf(c_53008,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1978,c_4346]) ).
tcf(c_53009,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_691,c_4346]) ).
tcf(c_53010,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_690,c_4346]) ).
tcf(c_53011,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_688,c_4346]) ).
tcf(c_53012,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_687,c_4346]) ).
tcf(c_53013,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_4346]) ).
tcf(c_53016,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_4346]) ).
tcf(c_53017,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_668,c_4346]) ).
tcf(c_53146,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_53010,c_637,c_1278,c_1279,c_8611,c_8612,c_10374,c_12099]) ).
tcf(c_53158,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_53012,c_637,c_1278,c_1279,c_8611,c_8612,c_10202,c_11666]) ).
tcf(c_53170,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_53013,c_637,c_1278,c_1279,c_8611,c_8612,c_9849,c_11527]) ).
tcf(c_53194,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_35002,c_4478]) ).
tcf(c_53195,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_34838,c_4478]) ).
tcf(c_53198,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26118,c_4478]) ).
tcf(c_53199,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21917,c_4478]) ).
tcf(c_53205,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_4478]) ).
tcf(c_53212,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8900,c_4478]) ).
tcf(c_53215,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2289,c_4478]) ).
tcf(c_53216,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2051,c_4478]) ).
tcf(c_53217,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1978,c_4478]) ).
tcf(c_53218,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_691,c_4478]) ).
tcf(c_53219,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_690,c_4478]) ).
tcf(c_53220,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_688,c_4478]) ).
tcf(c_53221,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_687,c_4478]) ).
tcf(c_53222,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_4478]) ).
tcf(c_53225,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_4478]) ).
tcf(c_53226,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_668,c_4478]) ).
tcf(c_53397,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41722,c_6009]) ).
tcf(c_53398,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6009,c_15021]) ).
tcf(c_53399,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6009,c_105]) ).
tcf(c_53401,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6009,c_19119]) ).
tcf(c_53428,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_27630,c_52255]) ).
tcf(c_53429,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4343,c_52255]) ).
tcf(c_53431,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_23) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_52255,c_639]) ).
tcf(c_53433,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_52255,c_638]) ).
tcf(c_53438,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52255,c_27057]) ).
tcf(c_53439,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52255,c_27015]) ).
tcf(c_53557,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_684,c_40815]) ).
tcf(c_53558,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_40815]) ).
tcf(c_53559,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_674,c_40815]) ).
tcf(c_53560,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_40815]) ).
tcf(c_53561,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_664,c_40815]) ).
tcf(c_53562,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_40815]) ).
tcf(c_53563,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_654,c_40815]) ).
tcf(c_53564,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_40815]) ).
tcf(c_53565,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_644,c_40815]) ).
tcf(c_53566,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_642,c_40815]) ).
tcf(c_53577,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_686,c_40815]) ).
tcf(c_53579,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_676,c_40815]) ).
tcf(c_53581,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_666,c_40815]) ).
tcf(c_53583,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_656,c_40815]) ).
tcf(c_53585,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_646,c_40815]) ).
tcf(c_53587,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c6),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_40815,c_15021]) ).
tcf(c_53665,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_4343,c_40891]) ).
tcf(c_53666,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40891,c_15021]) ).
tcf(c_53667,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_40891,c_105]) ).
tcf(c_53670,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40891,c_6021]) ).
tcf(c_53671,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40891,c_6015]) ).
tcf(c_53673,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_40891,c_5730]) ).
tcf(c_53806,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_4343,c_40958]) ).
tcf(c_53807,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40958,c_15021]) ).
tcf(c_53808,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_40958,c_105]) ).
tcf(c_53811,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40958,c_6021]) ).
tcf(c_53812,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40958,c_6015]) ).
tcf(c_53814,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_40958,c_5730]) ).
tcf(c_53836,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50741,c_33821]) ).
tcf(c_53837,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_33819]) ).
tcf(c_53839,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_50741,c_4296]) ).
tcf(c_53840,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50741,c_21898]) ).
tcf(c_53842,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_50741,c_21893]) ).
tcf(c_53843,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_50741,c_5756]) ).
tcf(c_53844,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_11602]) ).
tcf(c_53845,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_11118]) ).
tcf(c_53846,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_9976]) ).
tcf(c_53847,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_9785]) ).
tcf(c_53848,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_8577]) ).
tcf(c_53849,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_8349]) ).
tcf(c_53850,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_7138]) ).
tcf(c_53852,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_7084]) ).
tcf(c_53853,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50741,c_2153]) ).
tcf(c_53854,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_2151]) ).
tcf(c_53855,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50741,c_1711]) ).
tcf(c_53856,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_1709]) ).
tcf(c_53857,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50741,c_1430]) ).
tcf(c_53858,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_1428]) ).
tcf(c_53859,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50741,c_1161]) ).
tcf(c_53860,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50741,c_5741]) ).
tcf(c_53861,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_50741,c_2681]) ).
tcf(c_53862,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50741,c_1039]) ).
tcf(c_53863,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_50741,c_1209]) ).
tcf(c_54047,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_50525]) ).
tcf(c_54049,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_50389]) ).
tcf(c_54050,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_48544]) ).
tcf(c_54051,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_48132]) ).
tcf(c_54054,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_21727]) ).
tcf(c_54056,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_50767,c_32440]) ).
tcf(c_54058,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_23 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50767,c_3392]) ).
tcf(c_54071,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_23,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_50767,c_2657]) ).
tcf(c_54097,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50767,c_641]) ).
tcf(c_54098,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_1078]) ).
tcf(c_54099,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_1065]) ).
tcf(c_54100,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_1064]) ).
tcf(c_54101,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_1027]) ).
tcf(c_54102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_1019]) ).
tcf(c_54104,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_23 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50767,c_637]) ).
tcf(c_54107,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50767,c_675]) ).
tcf(c_54110,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50767,c_665]) ).
tcf(c_54112,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50767,c_634]) ).
tcf(c_54114,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50767,c_623]) ).
tcf(c_54116,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_50767,c_645]) ).
tcf(c_54299,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_15,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_51821,c_20375]) ).
tcf(c_54309,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_51821,c_20535]) ).
tcf(c_54310,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_51821,c_20530]) ).
tcf(c_54313,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_51821,c_20364]) ).
tcf(c_54332,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_51821,c_2657]) ).
tcf(c_54337,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_51821,c_1397]) ).
tcf(c_54338,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_51821,c_1327]) ).
tcf(c_54341,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_51821,c_2682]) ).
tcf(c_54342,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_51821,c_1208]) ).
tcf(c_54343,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_51821,c_634]) ).
tcf(c_54344,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_51821,c_633]) ).
tcf(c_54345,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_54344,c_19364]) ).
tcf(c_54378,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_52084,c_20601]) ).
tcf(c_54380,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_52084,c_19175]) ).
tcf(c_54381,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_52084,c_19169]) ).
tcf(c_54382,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_52084,c_5997]) ).
tcf(c_54383,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_52084,c_1754]) ).
tcf(c_54384,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_52084,c_1214]) ).
tcf(c_54385,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52084,c_4648]) ).
tcf(c_54387,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_52084,c_5985]) ).
tcf(c_54493,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54110,c_3392]) ).
tcf(c_54504,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_54110,c_19119]) ).
tcf(c_54505,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_54110,c_19114]) ).
tcf(c_54506,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_54110,c_2657]) ).
tcf(c_54520,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_54110,c_2683]) ).
tcf(c_54527,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54110,c_1498]) ).
tcf(c_54530,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_54110,c_641]) ).
tcf(c_54531,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54110,c_1078]) ).
tcf(c_54532,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54110,c_1065]) ).
tcf(c_54533,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54110,c_1064]) ).
tcf(c_54534,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54110,c_1027]) ).
tcf(c_54535,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54110,c_1019]) ).
tcf(c_54537,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54110,c_637]) ).
tcf(c_54542,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54110,c_665]) ).
tcf(c_54543,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_54110,c_1207]) ).
tcf(c_54544,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54110,c_634]) ).
tcf(c_54721,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_35002,c_4653]) ).
tcf(c_54722,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_34838,c_4653]) ).
tcf(c_54725,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26118,c_4653]) ).
tcf(c_54726,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21917,c_4653]) ).
tcf(c_54732,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_4653]) ).
tcf(c_54739,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8900,c_4653]) ).
tcf(c_54742,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2289,c_4653]) ).
tcf(c_54743,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2051,c_4653]) ).
tcf(c_54744,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1978,c_4653]) ).
tcf(c_54745,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_691,c_4653]) ).
tcf(c_54746,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_690,c_4653]) ).
tcf(c_54747,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_688,c_4653]) ).
tcf(c_54748,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_687,c_4653]) ).
tcf(c_54749,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_4653]) ).
tcf(c_54752,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_4653]) ).
tcf(c_54753,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_668,c_4653]) ).
tcf(c_54969,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41722,c_6010]) ).
tcf(c_54970,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6010,c_15021]) ).
tcf(c_54971,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6010,c_105]) ).
tcf(c_54973,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6010,c_19119]) ).
tcf(c_54997,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_4343,c_41060]) ).
tcf(c_54998,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_41060,c_15021]) ).
tcf(c_54999,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_41060,c_105]) ).
tcf(c_55002,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_41060,c_6021]) ).
tcf(c_55003,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_41060,c_6015]) ).
tcf(c_55005,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_41060,c_5730]) ).
tcf(c_55057,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_27630,c_41587]) ).
tcf(c_55058,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4343,c_41587]) ).
tcf(c_55059,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54110,c_41587]) ).
tcf(c_55060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50767,c_41587]) ).
tcf(c_55061,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50525,c_41587]) ).
tcf(c_55064,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48544,c_41587]) ).
tcf(c_55065,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48132,c_41587]) ).
tcf(c_55066,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47834,c_41587]) ).
tcf(c_55067,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41741,c_41587]) ).
tcf(c_55068,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21727,c_41587]) ).
tcf(c_55071,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32438,c_41587]) ).
tcf(c_55078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21608,c_41587]) ).
tcf(c_55111,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_680,c_41587]) ).
tcf(c_55117,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_41587]) ).
tcf(c_55120,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_41587,c_15021]) ).
tcf(c_55123,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41587,c_27213]) ).
tcf(c_55125,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_41587,c_6021]) ).
tcf(c_55126,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_41587,c_6015]) ).
tcf(c_55128,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,sk_c11) = multiply(iPr_def_21,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_41587,c_5730]) ).
tcf(c_55363,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54110,c_47885]) ).
tcf(c_55364,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50767,c_47885]) ).
tcf(c_55365,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50525,c_47885]) ).
tcf(c_55368,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48544,c_47885]) ).
tcf(c_55369,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48132,c_47885]) ).
tcf(c_55371,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41741,c_47885]) ).
tcf(c_55372,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21727,c_47885]) ).
tcf(c_55374,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32440,c_47885]) ).
tcf(c_55375,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32438,c_47885]) ).
tcf(c_55382,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21608,c_47885]) ).
tcf(c_55415,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_680,c_47885]) ).
tcf(c_55417,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_675,c_47885]) ).
tcf(c_55420,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_665,c_47885]) ).
tcf(c_55421,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_47885]) ).
tcf(c_55423,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_645,c_47885]) ).
tcf(c_55424,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c11),iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_47885,c_15021]) ).
tcf(c_55427,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_26) = multiply(iPr_def_26,sk_c11) ) ),
inference(superposition,[status(thm)],[c_47885,c_2657]) ).
tcf(c_55571,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47355,c_48134]) ).
tcf(c_55572,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_48134]) ).
tcf(c_55574,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_48134]) ).
tcf(c_55576,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20604,c_48134]) ).
tcf(c_55577,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20603,c_48134]) ).
tcf(c_55578,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48134,c_15021]) ).
tcf(c_55580,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_48134,c_20375]) ).
tcf(c_55581,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48134,c_2682]) ).
tcf(c_55650,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_48134]) ).
tcf(c_55652,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_52110,c_50209]) ).
tcf(c_55656,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_34391]) ).
tcf(c_55657,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_34025]) ).
tcf(c_55659,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_23,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_52110,c_20375]) ).
tcf(c_55676,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_52110,c_20364]) ).
tcf(c_55695,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_52110,c_2657]) ).
tcf(c_55697,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_1665]) ).
tcf(c_55698,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_1595]) ).
tcf(c_55701,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_1327]) ).
tcf(c_55702,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_1194]) ).
tcf(c_55703,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_1193]) ).
tcf(c_55706,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_634]) ).
tcf(c_55707,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_52110,c_633]) ).
tcf(c_55882,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_54345,c_50767]) ).
tcf(c_55892,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54345,c_3392]) ).
tcf(c_55893,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_54345,c_26121]) ).
tcf(c_55895,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_54345,c_26119]) ).
tcf(c_55896,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54345,c_21920]) ).
tcf(c_55898,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54345,c_21918]) ).
tcf(c_55900,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54345,c_20561]) ).
tcf(c_55901,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54345,c_20560]) ).
tcf(c_55904,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_25,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_54345,c_2657]) ).
tcf(c_55905,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_54345,c_12611]) ).
tcf(c_55906,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54345,c_12609]) ).
tcf(c_55909,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_54345,c_10426]) ).
tcf(c_55928,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_54345,c_641]) ).
tcf(c_55934,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_54345,c_1007]) ).
tcf(c_55935,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54345,c_637]) ).
tcf(c_55939,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_54345,c_667]) ).
tcf(c_55940,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54345,c_665]) ).
tcf(c_55942,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54345,c_634]) ).
tcf(c_55943,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54345,c_623]) ).
tcf(c_56038,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_54385,c_36947]) ).
tcf(c_56039,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_54385,c_33821]) ).
tcf(c_56040,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_33819]) ).
tcf(c_56042,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_54385,c_4296]) ).
tcf(c_56043,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_54385,c_21898]) ).
tcf(c_56045,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_54385,c_21893]) ).
tcf(c_56046,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_54385,c_5756]) ).
tcf(c_56047,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_11602]) ).
tcf(c_56048,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_11118]) ).
tcf(c_56049,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_9976]) ).
tcf(c_56050,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_9785]) ).
tcf(c_56051,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_8577]) ).
tcf(c_56052,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_8349]) ).
tcf(c_56053,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_7138]) ).
tcf(c_56055,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_7084]) ).
tcf(c_56056,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_54385,c_2153]) ).
tcf(c_56057,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_2151]) ).
tcf(c_56058,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_54385,c_1711]) ).
tcf(c_56059,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_1709]) ).
tcf(c_56060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_54385,c_1430]) ).
tcf(c_56061,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_1428]) ).
tcf(c_56062,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_54385,c_1161]) ).
tcf(c_56063,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_54385,c_5741]) ).
tcf(c_56064,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_54385,c_2681]) ).
tcf(c_56065,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_54385,c_1039]) ).
tcf(c_56066,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_54385,c_1209]) ).
tcf(c_56253,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_54345]) ).
tcf(c_56254,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55123,c_47885]) ).
tcf(c_56255,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55123,c_41587]) ).
tcf(c_56256,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_54110]) ).
tcf(c_56258,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_50525]) ).
tcf(c_56260,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_50389]) ).
tcf(c_56261,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_48544]) ).
tcf(c_56262,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_48132]) ).
tcf(c_56264,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_41741]) ).
tcf(c_56265,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_21727]) ).
tcf(c_56267,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55123,c_32440]) ).
tcf(c_56269,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_25 != iPr_def_26 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55123,c_3392]) ).
tcf(c_56276,plain,
( ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_21608]) ).
tcf(c_56280,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55123,c_19119]) ).
tcf(c_56281,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_55123,c_19114]) ).
tcf(c_56282,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_55123,c_2657]) ).
tcf(c_56298,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55123,c_2683]) ).
tcf(c_56308,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_55123,c_641]) ).
tcf(c_56309,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_1078]) ).
tcf(c_56310,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_1065]) ).
tcf(c_56311,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_1064]) ).
tcf(c_56312,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_1027]) ).
tcf(c_56313,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_1019]) ).
tcf(c_56315,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_26 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55123,c_637]) ).
tcf(c_56318,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_55123,c_675]) ).
tcf(c_56321,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55123,c_665]) ).
tcf(c_56322,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_55123,c_1207]) ).
tcf(c_56325,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55123,c_623]) ).
tcf(c_56327,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55123,c_645]) ).
tcf(c_56338,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = identity ) ),
inference(light_normalisation,[status(thm)],[c_56281,c_20361]) ).
tcf(c_56371,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_56280,c_20042]) ).
tcf(c_56539,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55939,c_3392]) ).
tcf(c_56540,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_55939,c_26121]) ).
tcf(c_56542,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_55939,c_26119]) ).
tcf(c_56543,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_55939,c_21920]) ).
tcf(c_56545,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_55939,c_21918]) ).
tcf(c_56548,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55939,c_20561]) ).
tcf(c_56549,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55939,c_20560]) ).
tcf(c_56550,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55939,c_19119]) ).
tcf(c_56551,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_55939,c_19114]) ).
tcf(c_56552,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_55939,c_2657]) ).
tcf(c_56553,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_55939,c_12611]) ).
tcf(c_56554,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55939,c_12609]) ).
tcf(c_56566,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55939,c_2683]) ).
tcf(c_56576,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_55939,c_641]) ).
tcf(c_56582,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_55939,c_1007]) ).
tcf(c_56583,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55939,c_637]) ).
tcf(c_56587,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_55939,c_667]) ).
tcf(c_56588,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55939,c_665]) ).
tcf(c_56589,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_55939,c_1207]) ).
tcf(c_56590,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55939,c_634]) ).
tcf(c_56592,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55939,c_623]) ).
tcf(c_56819,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55940,c_55123]) ).
tcf(c_56821,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_47885]) ).
tcf(c_56822,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_41587]) ).
tcf(c_56823,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_55940,c_50767]) ).
tcf(c_56830,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_3392]) ).
tcf(c_56831,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_55940,c_26121]) ).
tcf(c_56833,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_55940,c_26119]) ).
tcf(c_56834,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_55940,c_21920]) ).
tcf(c_56836,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_55940,c_21918]) ).
tcf(c_56839,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_20561]) ).
tcf(c_56840,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_20560]) ).
tcf(c_56841,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55940,c_19119]) ).
tcf(c_56842,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_55940,c_19114]) ).
tcf(c_56843,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_55940,c_2657]) ).
tcf(c_56844,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_55940,c_12611]) ).
tcf(c_56845,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_12609]) ).
tcf(c_56857,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_55940,c_2683]) ).
tcf(c_56864,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_55940,c_1498]) ).
tcf(c_56867,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_55940,c_641]) ).
tcf(c_56873,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_55940,c_1007]) ).
tcf(c_56874,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55940,c_637]) ).
tcf(c_56878,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_55940,c_667]) ).
tcf(c_56879,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_55940,c_665]) ).
tcf(c_56880,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_55940,c_1207]) ).
tcf(c_56881,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_634]) ).
tcf(c_56883,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55940,c_623]) ).
tcf(c_57076,plain,
( ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_56318,c_12691,c_48418,c_55123]) ).
tcf(c_57077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_57076]) ).
tcf(c_57140,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57077,c_47885]) ).
tcf(c_57141,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57077,c_41587]) ).
tcf(c_57155,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57077,c_3392]) ).
tcf(c_57160,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57077,c_21608]) ).
tcf(c_57163,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57077,c_19119]) ).
tcf(c_57164,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57077,c_19114]) ).
tcf(c_57165,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_57077,c_2657]) ).
tcf(c_57179,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57077,c_2683]) ).
tcf(c_57183,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_14) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_57077,c_641]) ).
tcf(c_57190,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57077,c_637]) ).
tcf(c_57196,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_57077,c_665]) ).
tcf(c_57197,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_57077,c_1207]) ).
tcf(c_57198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57077,c_634]) ).
tcf(c_57305,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56321,c_55123]) ).
tcf(c_57307,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56321,c_47885]) ).
tcf(c_57308,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56321,c_41587]) ).
tcf(c_57316,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56321,c_3392]) ).
tcf(c_57327,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56321,c_19119]) ).
tcf(c_57328,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56321,c_19114]) ).
tcf(c_57329,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_56321,c_2657]) ).
tcf(c_57343,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56321,c_2683]) ).
tcf(c_57350,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56321,c_1498]) ).
tcf(c_57353,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_56321,c_641]) ).
tcf(c_57354,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56321,c_1078]) ).
tcf(c_57355,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56321,c_1065]) ).
tcf(c_57356,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56321,c_1064]) ).
tcf(c_57357,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56321,c_1027]) ).
tcf(c_57358,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56321,c_1019]) ).
tcf(c_57360,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56321,c_637]) ).
tcf(c_57365,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56321,c_665]) ).
tcf(c_57366,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_56321,c_1207]) ).
tcf(c_57367,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56321,c_634]) ).
tcf(c_57538,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56327,c_57077]) ).
tcf(c_57673,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_55123]) ).
tcf(c_57675,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57196,c_47885]) ).
tcf(c_57676,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57196,c_41587]) ).
tcf(c_57677,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_50767]) ).
tcf(c_57681,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_41741]) ).
tcf(c_57684,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57196,c_3392]) ).
tcf(c_57695,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57196,c_19119]) ).
tcf(c_57696,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_57196,c_19114]) ).
tcf(c_57697,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_57196,c_2657]) ).
tcf(c_57711,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57196,c_2683]) ).
tcf(c_57718,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_1498]) ).
tcf(c_57721,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_57196,c_641]) ).
tcf(c_57722,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_1078]) ).
tcf(c_57723,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_1065]) ).
tcf(c_57724,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_1064]) ).
tcf(c_57725,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_1027]) ).
tcf(c_57726,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57196,c_1019]) ).
tcf(c_57728,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57196,c_637]) ).
tcf(c_57734,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_57196,c_1207]) ).
tcf(c_57735,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57196,c_634]) ).
tcf(c_57825,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41722,c_6011]) ).
tcf(c_57826,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6011,c_15021]) ).
tcf(c_57827,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6011,c_105]) ).
tcf(c_57829,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6011,c_19119]) ).
tcf(c_57894,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24123,c_56325]) ).
tcf(c_57898,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_56325,c_639]) ).
tcf(c_57900,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_56325,c_638]) ).
tcf(c_57902,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56325,c_20375]) ).
tcf(c_57903,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56325,c_20364]) ).
tcf(c_57910,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c11 != sk_c3 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_57898,c_20361]) ).
tcf(c_57950,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57196,c_48357]) ).
tcf(c_57951,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56321,c_48357]) ).
tcf(c_57952,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57077,c_48357]) ).
tcf(c_57953,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_48357]) ).
tcf(c_57955,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55123,c_48357]) ).
tcf(c_57957,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54110,c_48357]) ).
tcf(c_57958,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_50767,c_48357]) ).
tcf(c_57962,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48544,c_48357]) ).
tcf(c_57963,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48132,c_48357]) ).
tcf(c_57964,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_47834,c_48357]) ).
tcf(c_57966,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21727,c_48357]) ).
tcf(c_58018,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_48357,c_15021]) ).
tcf(c_58021,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_48357,c_20535]) ).
tcf(c_58084,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_52110,c_48546]) ).
tcf(c_58088,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_48546]) ).
tcf(c_58091,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21476,c_48546]) ).
tcf(c_58096,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_4343,c_48546]) ).
tcf(c_58097,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_48546,c_15021]) ).
tcf(c_58099,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_48546,c_20375]) ).
tcf(c_58100,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_48546,c_2682]) ).
tcf(c_58119,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32439,c_50763]) ).
tcf(c_58124,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12536,c_50763]) ).
tcf(c_58135,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8900,c_50763]) ).
tcf(c_58143,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_688,c_50763]) ).
tcf(c_58149,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_668,c_50763]) ).
tcf(c_58151,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_648,c_50763]) ).
tcf(c_58152,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_15021]) ).
tcf(c_58154,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_640]) ).
tcf(c_58155,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_20006]) ).
tcf(c_58156,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_19119]) ).
tcf(c_58181,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( sk_c11 != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_58154,c_19364]) ).
tcf(c_58240,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56264,c_33178]) ).
tcf(c_58242,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56264,c_20375]) ).
tcf(c_58244,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56264,c_24123]) ).
tcf(c_58246,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56264,c_20364]) ).
tcf(c_58247,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_56264,c_20361]) ).
tcf(c_58248,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_15,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_56264,c_5997]) ).
tcf(c_58249,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56264,c_12073]) ).
tcf(c_58255,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56264,c_8942]) ).
tcf(c_58261,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56264,c_5551]) ).
tcf(c_58264,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56264,c_2294]) ).
tcf(c_58270,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56264,c_1499]) ).
tcf(c_58271,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56264,c_1186]) ).
tcf(c_58274,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_56264,c_5985]) ).
tcf(c_58282,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c3) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_58246,c_19364]) ).
tcf(c_58308,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_58242,c_19364]) ).
tcf(c_58328,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_33180]) ).
tcf(c_58329,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_33179]) ).
tcf(c_58330,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56276,c_33178]) ).
tcf(c_58331,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_56276,c_5968]) ).
tcf(c_58332,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56276,c_20375]) ).
tcf(c_58334,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_56276,c_24123]) ).
tcf(c_58335,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_56276,c_21381]) ).
tcf(c_58336,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56276,c_20364]) ).
tcf(c_58337,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_56276,c_20361]) ).
tcf(c_58338,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_56276,c_5997]) ).
tcf(c_58339,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_12073]) ).
tcf(c_58340,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_11600]) ).
tcf(c_58341,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_11116]) ).
tcf(c_58345,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_8942]) ).
tcf(c_58346,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_8576]) ).
tcf(c_58347,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_8348]) ).
tcf(c_58348,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_7137]) ).
tcf(c_58350,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_7083]) ).
tcf(c_58351,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_5551]) ).
tcf(c_58352,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_2296]) ).
tcf(c_58353,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_2295]) ).
tcf(c_58354,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56276,c_2294]) ).
tcf(c_58358,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_1501]) ).
tcf(c_58359,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_1500]) ).
tcf(c_58360,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56276,c_1499]) ).
tcf(c_58361,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56276,c_1186]) ).
tcf(c_58363,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_1160]) ).
tcf(c_58364,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_56276,c_5985]) ).
tcf(c_58365,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_1077]) ).
tcf(c_58374,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,sk_c3) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_58336,c_20601]) ).
tcf(c_58442,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_58332,c_20601]) ).
tcf(c_58554,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_48546]) ).
tcf(c_58555,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_56338,c_52110]) ).
tcf(c_58556,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_48134]) ).
tcf(c_58559,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56338,c_47355]) ).
tcf(c_58560,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = identity ) ),
inference(superposition,[status(thm)],[c_56338,c_41738]) ).
tcf(c_58562,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(identity,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_34391]) ).
tcf(c_58563,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(identity,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_34025]) ).
tcf(c_58564,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56338,c_33475]) ).
tcf(c_58565,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(identity,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56338,c_20375]) ).
tcf(c_58572,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56338,c_21476]) ).
tcf(c_58578,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56338,c_20535]) ).
tcf(c_58579,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_56338,c_20530]) ).
tcf(c_58582,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56338,c_20364]) ).
tcf(c_58601,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_56338,c_2657]) ).
tcf(c_58607,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(identity,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_1327]) ).
tcf(c_58608,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(identity,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_1194]) ).
tcf(c_58609,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(identity,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_1193]) ).
tcf(c_58610,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56338,c_2682]) ).
tcf(c_58611,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = identity ) ),
inference(superposition,[status(thm)],[c_56338,c_1208]) ).
tcf(c_58612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_634]) ).
tcf(c_58613,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56338,c_633]) ).
tcf(c_58633,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_25) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_58582,c_30154]) ).
tcf(c_58659,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_58565,c_103]) ).
tcf(c_58857,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57160,c_20535]) ).
tcf(c_58859,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_57160,c_20530]) ).
tcf(c_58862,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_57160,c_5997]) ).
tcf(c_58867,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_57160,c_5985]) ).
tcf(c_58868,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57160,c_2682]) ).
tcf(c_58869,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_57160,c_1208]) ).
tcf(c_59065,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_23 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_4905,c_637,c_1278,c_1279,c_1807,c_2289,c_8611,c_8612]) ).
tcf(c_59077,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_10525,c_637,c_1278,c_1279,c_8611,c_8612,c_10425,c_34838]) ).
tcf(c_59089,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_10678,c_637,c_1278,c_1279,c_8611,c_8612,c_10426,c_35002]) ).
tcf(c_59130,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_26118,c_20816]) ).
tcf(c_59131,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_21917,c_20816]) ).
tcf(c_59137,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_20816]) ).
tcf(c_59144,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8900,c_20816]) ).
tcf(c_59150,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_691,c_20816]) ).
tcf(c_59151,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_690,c_20816]) ).
tcf(c_59152,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_688,c_20816]) ).
tcf(c_59153,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_687,c_20816]) ).
tcf(c_59154,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_20816]) ).
tcf(c_59157,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_20816]) ).
tcf(c_59158,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_668,c_20816]) ).
tcf(c_59270,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_22794,c_637,c_1278,c_1279,c_8611,c_8612,c_21918,c_21917]) ).
tcf(c_59287,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41722,c_6012]) ).
tcf(c_59288,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6012,c_15021]) ).
tcf(c_59289,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6012,c_105]) ).
tcf(c_59291,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6012,c_19119]) ).
tcf(c_59362,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32439,c_52106]) ).
tcf(c_59367,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12536,c_52106]) ).
tcf(c_59378,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8900,c_52106]) ).
tcf(c_59386,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_688,c_52106]) ).
tcf(c_59392,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_668,c_52106]) ).
tcf(c_59394,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_648,c_52106]) ).
tcf(c_59395,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52106,c_15021]) ).
tcf(c_59397,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_52106,c_640]) ).
tcf(c_59398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52106,c_20535]) ).
tcf(c_59420,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != sk_c3 ) ),
inference(light_normalisation,[status(thm)],[c_59397,c_20601]) ).
tcf(c_59449,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56338,c_52413]) ).
tcf(c_59456,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_33475,c_52413]) ).
tcf(c_59458,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20604,c_52413]) ).
tcf(c_59462,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32439,c_52413]) ).
tcf(c_59467,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12536,c_52413]) ).
tcf(c_59478,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8900,c_52413]) ).
tcf(c_59486,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_688,c_52413]) ).
tcf(c_59492,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_668,c_52413]) ).
tcf(c_59494,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_648,c_52413]) ).
tcf(c_59495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52413,c_15021]) ).
tcf(c_59497,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c3) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_52413,c_640]) ).
tcf(c_59498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = multiply(iPr_def_15,sk_c10) ) ),
inference(superposition,[status(thm)],[c_52413,c_20375]) ).
tcf(c_59499,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52413,c_2682]) ).
tcf(c_59531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_59497,c_633]) ).
tcf(c_59597,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_55123,c_52537]) ).
tcf(c_59609,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32441,c_52537]) ).
tcf(c_59610,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32440,c_52537]) ).
tcf(c_59611,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32438,c_52537]) ).
tcf(c_59656,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_665,c_52537]) ).
tcf(c_59657,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_650,c_52537]) ).
tcf(c_59658,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_647,c_52537]) ).
tcf(c_59659,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_645,c_52537]) ).
tcf(c_59662,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_32439,c_52537]) ).
tcf(c_59667,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12536,c_52537]) ).
tcf(c_59678,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8900,c_52537]) ).
tcf(c_59686,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_688,c_52537]) ).
tcf(c_59692,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_668,c_52537]) ).
tcf(c_59694,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_648,c_52537]) ).
tcf(c_59695,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c11),iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52537,c_15021]) ).
tcf(c_59697,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( inverse(sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_52537,c_640]) ).
tcf(c_59698,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_24) = multiply(iPr_def_26,sk_c10) ) ),
inference(superposition,[status(thm)],[c_52537,c_2657]) ).
tcf(c_59744,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_24 )
| ( sk_c10 != iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_59697,c_623]) ).
tcf(c_60120,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_54112]) ).
tcf(c_60125,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_54112]) ).
tcf(c_60127,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_54112]) ).
tcf(c_60128,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21476,c_54112]) ).
tcf(c_60129,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20604,c_54112]) ).
tcf(c_60135,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_54112,c_15021]) ).
tcf(c_60137,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_54112,c_20375]) ).
tcf(c_60138,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_54112,c_2682]) ).
tcf(c_60174,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57538,c_33178]) ).
tcf(c_60176,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_57538,c_20375]) ).
tcf(c_60178,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_57538,c_24123]) ).
tcf(c_60180,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57538,c_20364]) ).
tcf(c_60181,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_57538,c_20361]) ).
tcf(c_60182,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_20,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_57538,c_5997]) ).
tcf(c_60183,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57538,c_12073]) ).
tcf(c_60189,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57538,c_8942]) ).
tcf(c_60195,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57538,c_5551]) ).
tcf(c_60198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57538,c_2294]) ).
tcf(c_60204,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57538,c_1499]) ).
tcf(c_60205,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57538,c_1186]) ).
tcf(c_60208,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_57538,c_5985]) ).
tcf(c_60451,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_58244,c_36278]) ).
tcf(c_60452,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_58244,c_36208]) ).
tcf(c_60453,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_58244,c_36116]) ).
tcf(c_60455,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_58244,c_35204]) ).
tcf(c_60459,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_58244,c_5553]) ).
tcf(c_60466,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58244,c_19958]) ).
tcf(c_60467,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58244,c_19935]) ).
tcf(c_60472,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58244,c_17929]) ).
tcf(c_60473,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58244,c_17890]) ).
tcf(c_60475,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_58244,c_5756]) ).
tcf(c_60476,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58244,c_12073]) ).
tcf(c_60478,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58244,c_8942]) ).
tcf(c_60479,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58244,c_5551]) ).
tcf(c_60480,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58244,c_2192]) ).
tcf(c_60481,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58244,c_2191]) ).
tcf(c_60484,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58244,c_1451]) ).
tcf(c_60485,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58244,c_1450]) ).
tcf(c_60486,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58244,c_1238]) ).
tcf(c_60487,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58244,c_1237]) ).
tcf(c_60488,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58244,c_1149]) ).
tcf(c_60489,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_58244,c_5741]) ).
tcf(c_60490,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_15) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58244,c_1040]) ).
tcf(c_60517,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_14 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_60479,c_20361]) ).
tcf(c_60521,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_14 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_60478,c_20361]) ).
tcf(c_60525,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_14 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_60476,c_20361]) ).
tcf(c_60641,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58334,c_52106]) ).
tcf(c_60643,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58334,c_48357]) ).
tcf(c_60646,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58334,c_20535]) ).
tcf(c_60647,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_58334,c_20601]) ).
tcf(c_60648,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_58334,c_20530]) ).
tcf(c_60649,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_58334,c_19175]) ).
tcf(c_60651,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_58334,c_5997]) ).
tcf(c_60653,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_58334,c_1214]) ).
tcf(c_60656,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_58334,c_5985]) ).
tcf(c_60657,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58334,c_2682]) ).
tcf(c_60658,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_58334,c_1208]) ).
tcf(c_60750,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_58555,c_49676]) ).
tcf(c_60768,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58555,c_23163]) ).
tcf(c_60769,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58555,c_23038]) ).
tcf(c_60772,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_58555,c_16715]) ).
tcf(c_60802,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_26511,c_637,c_1278,c_1279,c_8611,c_8612,c_26119,c_26118]) ).
tcf(c_60814,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c10 != iPr_def_15 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_57190,c_696,c_698,c_699,c_623,c_637,c_3998,c_8611,c_8612,c_11993,c_12691,c_12809,c_25145,c_41741,c_41722,c_47885,c_48248,c_48427,c_50767,c_51029]) ).
tcf(c_60815,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 != iPr_def_15 ) ),
inference(renaming,[status(thm)],[c_60814]) ).
tcf(c_60828,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32439,c_60815]) ).
tcf(c_60829,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32437,c_60815]) ).
tcf(c_60833,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12536,c_60815]) ).
tcf(c_60837,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12031,c_60815]) ).
tcf(c_60844,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8900,c_60815]) ).
tcf(c_60850,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_691,c_60815]) ).
tcf(c_60852,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_688,c_60815]) ).
tcf(c_60854,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_685,c_60815]) ).
tcf(c_60857,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_671,c_60815]) ).
tcf(c_60858,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_668,c_60815]) ).
tcf(c_60859,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_651,c_60815]) ).
tcf(c_60860,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( iPr_def_15 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_648,c_60815]) ).
tcf(c_60987,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_60854,c_50741,c_60815,c_60852]) ).
tcf(c_61017,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35002,c_2451]) ).
tcf(c_61018,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34838,c_2451]) ).
tcf(c_61019,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32439,c_2451]) ).
tcf(c_61021,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26118,c_2451]) ).
tcf(c_61022,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21917,c_2451]) ).
tcf(c_61028,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12031,c_2451]) ).
tcf(c_61038,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2289,c_2451]) ).
tcf(c_61039,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2051,c_2451]) ).
tcf(c_61040,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1978,c_2451]) ).
tcf(c_61042,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_690,c_2451]) ).
tcf(c_61044,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_687,c_2451]) ).
tcf(c_61045,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_685,c_2451]) ).
tcf(c_61052,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61045,c_623,c_19364]) ).
tcf(c_61056,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61044,c_623,c_19364]) ).
tcf(c_61060,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61042,c_623,c_19364]) ).
tcf(c_61064,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61040,c_623,c_19364]) ).
tcf(c_61068,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61039,c_623,c_19364]) ).
tcf(c_61072,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61038,c_623,c_19364]) ).
tcf(c_61076,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61028,c_623,c_19364]) ).
tcf(c_61080,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61022,c_623,c_19364]) ).
tcf(c_61084,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61021,c_623,c_19364]) ).
tcf(c_61092,plain,
( ( identity = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61019,c_631,c_23243]) ).
tcf(c_61096,plain,
( ( iPr_def_14 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61018,c_623,c_19364]) ).
tcf(c_61100,plain,
( ( iPr_def_14 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_61017,c_623,c_19364]) ).
tcf(c_61161,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41722,c_6013]) ).
tcf(c_61162,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6013,c_15021]) ).
tcf(c_61163,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6013,c_105]) ).
tcf(c_61165,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6013,c_19119]) ).
tcf(c_61212,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57196,c_55706]) ).
tcf(c_61213,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56321,c_55706]) ).
tcf(c_61214,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57077,c_55706]) ).
tcf(c_61215,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_55706]) ).
tcf(c_61217,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55123,c_55706]) ).
tcf(c_61219,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54110,c_55706]) ).
tcf(c_61224,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48544,c_55706]) ).
tcf(c_61225,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48132,c_55706]) ).
tcf(c_61228,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21727,c_55706]) ).
tcf(c_61231,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32438,c_55706]) ).
tcf(c_61238,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21608,c_55706]) ).
tcf(c_61277,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_55706]) ).
tcf(c_61280,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_55706,c_15021]) ).
tcf(c_61283,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_55706,c_21898]) ).
tcf(c_61583,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_57198]) ).
tcf(c_61588,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_57198]) ).
tcf(c_61590,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_57198]) ).
tcf(c_61591,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21476,c_57198]) ).
tcf(c_61592,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20604,c_57198]) ).
tcf(c_61594,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57198,c_15021]) ).
tcf(c_61596,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_57198,c_20375]) ).
tcf(c_61597,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57198,c_2682]) ).
tcf(c_61701,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58559,c_49676]) ).
tcf(c_61719,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58559,c_23163]) ).
tcf(c_61720,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58559,c_23038]) ).
tcf(c_61723,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_25) = X0 ) ),
inference(superposition,[status(thm)],[c_58559,c_16715]) ).
tcf(c_61824,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58560,c_55706]) ).
tcf(c_61826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58560,c_48357]) ).
tcf(c_61827,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_57196]) ).
tcf(c_61828,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_56321]) ).
tcf(c_61829,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58560,c_57077]) ).
tcf(c_61830,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_55940]) ).
tcf(c_61834,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58560,c_47885]) ).
tcf(c_61835,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58560,c_41587]) ).
tcf(c_61836,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_54110]) ).
tcf(c_61841,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_48544]) ).
tcf(c_61842,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_48132]) ).
tcf(c_61845,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_21727]) ).
tcf(c_61847,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_58560,c_32440]) ).
tcf(c_61848,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( identity = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58560,c_32438]) ).
tcf(c_61849,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( identity != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58560,c_3392]) ).
tcf(c_61860,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58560,c_19119]) ).
tcf(c_61861,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_58560,c_19114]) ).
tcf(c_61862,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(identity,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_58560,c_2657]) ).
tcf(c_61878,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58560,c_2683]) ).
tcf(c_61888,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_58560,c_641]) ).
tcf(c_61895,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( identity != iPr_def_14 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58560,c_637]) ).
tcf(c_61898,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_58560,c_675]) ).
tcf(c_61902,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = identity ) ),
inference(superposition,[status(thm)],[c_58560,c_1207]) ).
tcf(c_61903,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58560,c_634]) ).
tcf(c_61905,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58560,c_623]) ).
tcf(c_61907,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58560,c_645]) ).
tcf(c_61958,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_61862,c_103]) ).
tcf(c_61976,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( X0 != sk_c10 )
| ( inverse(X0) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_61888,c_16715]) ).
tcf(c_62113,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10 ),
inference(superposition,[status(thm)],[c_58572,c_49676]) ).
tcf(c_62117,plain,
( ( iPr_def_15 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58572,c_37280]) ).
tcf(c_62118,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58572,c_34339]) ).
tcf(c_62132,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_58572,c_23038]) ).
tcf(c_62135,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_15) = X0 ) ),
inference(superposition,[status(thm)],[c_58572,c_16715]) ).
tcf(c_62164,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_60178,c_36278]) ).
tcf(c_62165,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_60178,c_36208]) ).
tcf(c_62166,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_60178,c_36116]) ).
tcf(c_62168,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_20) ) ),
inference(superposition,[status(thm)],[c_60178,c_35204]) ).
tcf(c_62172,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_20,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_60178,c_5553]) ).
tcf(c_62179,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_60178,c_19958]) ).
tcf(c_62185,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_60178,c_17929]) ).
tcf(c_62188,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_60178,c_5756]) ).
tcf(c_62189,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_60178,c_12073]) ).
tcf(c_62191,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_60178,c_8942]) ).
tcf(c_62192,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_60178,c_5551]) ).
tcf(c_62193,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_60178,c_2192]) ).
tcf(c_62194,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60178,c_2191]) ).
tcf(c_62197,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_60178,c_1451]) ).
tcf(c_62198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60178,c_1450]) ).
tcf(c_62199,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_60178,c_1238]) ).
tcf(c_62200,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60178,c_1237]) ).
tcf(c_62201,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_60178,c_1149]) ).
tcf(c_62202,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_60178,c_5741]) ).
tcf(c_62203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_20) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_60178,c_1040]) ).
tcf(c_62369,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_61907,c_57077]) ).
tcf(c_62456,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_61903,c_16715]) ).
tcf(c_62474,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_57198]) ).
tcf(c_62475,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_54112]) ).
tcf(c_62478,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_48546]) ).
tcf(c_62480,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_48134]) ).
tcf(c_62486,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_34391]) ).
tcf(c_62487,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_34025]) ).
tcf(c_62489,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_26,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_62456,c_20375]) ).
tcf(c_62502,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_62456,c_20535]) ).
tcf(c_62503,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_62456,c_20530]) ).
tcf(c_62506,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_62456,c_20364]) ).
tcf(c_62525,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_62456,c_2657]) ).
tcf(c_62531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_1327]) ).
tcf(c_62532,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_1194]) ).
tcf(c_62533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_1193]) ).
tcf(c_62534,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_62456,c_2682]) ).
tcf(c_62535,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_62456,c_1208]) ).
tcf(c_62536,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_62456,c_634]) ).
tcf(c_62537,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_62456,c_633]) ).
tcf(c_62554,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_62534,c_5997]) ).
tcf(c_62615,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24123,c_62537]) ).
tcf(c_62619,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,iPr_def_25) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_62537,c_639]) ).
tcf(c_62621,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_62537,c_638]) ).
tcf(c_62624,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_62537,c_20375]) ).
tcf(c_62625,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_62537,c_20364]) ).
tcf(c_62667,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c11) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_57538,c_62536]) ).
tcf(c_62668,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56276,c_62536]) ).
tcf(c_62669,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c11) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_56264,c_62536]) ).
tcf(c_62670,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c11) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_27210,c_62536]) ).
tcf(c_62671,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c11) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24123,c_62536]) ).
tcf(c_62672,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12691,c_62536]) ).
tcf(c_62673,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c11) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_4899,c_62536]) ).
tcf(c_62674,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_58560,c_62536]) ).
tcf(c_62675,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_57196,c_62536]) ).
tcf(c_62676,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56321,c_62536]) ).
tcf(c_62678,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_55940,c_62536]) ).
tcf(c_62682,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_54110,c_62536]) ).
tcf(c_62687,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48544,c_62536]) ).
tcf(c_62688,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_48132,c_62536]) ).
tcf(c_62691,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21727,c_62536]) ).
tcf(c_62694,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_32438,c_62536]) ).
tcf(c_62701,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21608,c_62536]) ).
tcf(c_62740,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_62536]) ).
tcf(c_62743,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_62536,c_15021]) ).
tcf(c_62749,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c11) = multiply(iPr_def_25,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_62536,c_5997]) ).
tcf(c_62767,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c11) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_62749,c_5985]) ).
tcf(c_63006,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_14) = X0 ) ),
inference(superposition,[status(thm)],[c_61829,c_16715]) ).
tcf(c_63044,plain,
( ( iPr_def_20 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62369,c_38145]) ).
tcf(c_63046,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62369,c_34339]) ).
tcf(c_63050,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62369,c_33772]) ).
tcf(c_63059,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62369,c_23163]) ).
tcf(c_63060,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_62369,c_23038]) ).
tcf(c_63063,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(X0,iPr_def_20) = X0 ) ),
inference(superposition,[status(thm)],[c_62369,c_16715]) ).
tcf(c_63101,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,sk_c7) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29264,c_639]) ).
tcf(c_63103,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_29264,c_638]) ).
tcf(c_63130,plain,
multiply(iPr_def_15,iPr_def_25) = inverse(iPr_def_26),
inference(demodulation,[status(thm)],[c_30154,c_16715]) ).
tcf(c_63131,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_26) = identity ) ),
inference(demodulation,[status(thm)],[c_1754,c_63130]) ).
tcf(c_63132,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_26) = identity ) ),
inference(demodulation,[status(thm)],[c_1214,c_63130]) ).
tcf(c_63137,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_58334,c_63130]) ).
tcf(c_63138,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_14) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_57160,c_63130]) ).
tcf(c_63139,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_23) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_52084,c_63130]) ).
tcf(c_63140,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_15) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_47889,c_63130]) ).
tcf(c_63141,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4648,c_63130]) ).
tcf(c_63142,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_4474,c_63130]) ).
tcf(c_63143,plain,
multiply(inverse(iPr_def_15),inverse(iPr_def_26)) = iPr_def_25,
inference(superposition,[status(thm)],[c_63130,c_15021]) ).
tcf(c_63145,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63130,c_20006]) ).
tcf(c_63146,plain,
multiply(sk_c11,inverse(iPr_def_26)) = iPr_def_25,
inference(superposition,[status(thm)],[c_63130,c_19119]) ).
tcf(c_63219,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c9),X0) = multiply(iPr_def_24,multiply(sk_c9,X0)),
inference(light_normalisation,[status(thm)],[c_13754,c_14423]) ).
tcf(c_63220,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c10),X0) = multiply(iPr_def_22,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_13928,c_14138]) ).
tcf(c_63221,plain,
! [X0: $i] : multiply(multiply(iPr_def_20,sk_c9),X0) = multiply(iPr_def_20,multiply(sk_c9,X0)),
inference(light_normalisation,[status(thm)],[c_14220,c_14422]) ).
tcf(c_63222,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_58560,c_63146]) ).
tcf(c_63223,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57196,c_63146]) ).
tcf(c_63224,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56321,c_63146]) ).
tcf(c_63225,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57077,c_63146]) ).
tcf(c_63226,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_55940,c_63146]) ).
tcf(c_63227,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_55939,c_63146]) ).
tcf(c_63228,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_55123,c_63146]) ).
tcf(c_63229,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_25,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_54345,c_63146]) ).
tcf(c_63230,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_54110,c_63146]) ).
tcf(c_63231,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50767,c_63146]) ).
tcf(c_63232,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50525,c_63146]) ).
tcf(c_63233,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50524,c_63146]) ).
tcf(c_63234,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_50389,c_63146]) ).
tcf(c_63235,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48544,c_63146]) ).
tcf(c_63236,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_48132,c_63146]) ).
tcf(c_63237,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_47834,c_63146]) ).
tcf(c_63238,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_41741,c_63146]) ).
tcf(c_63239,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21727,c_63146]) ).
tcf(c_63240,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_32441,c_63146]) ).
tcf(c_63241,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_32440,c_63146]) ).
tcf(c_63242,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_32438,c_63146]) ).
tcf(c_63243,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26121,c_63146]) ).
tcf(c_63244,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26120,c_63146]) ).
tcf(c_63245,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26119,c_63146]) ).
tcf(c_63246,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21920,c_63146]) ).
tcf(c_63247,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21919,c_63146]) ).
tcf(c_63248,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21918,c_63146]) ).
tcf(c_63249,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21608,c_63146]) ).
tcf(c_63250,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20561,c_63146]) ).
tcf(c_63251,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_20560,c_63146]) ).
tcf(c_63252,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12611,c_63146]) ).
tcf(c_63253,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12609,c_63146]) ).
tcf(c_63257,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10426,c_63146]) ).
tcf(c_63258,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10425,c_63146]) ).
tcf(c_63262,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_9112,c_63146]) ).
tcf(c_63263,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_9111,c_63146]) ).
tcf(c_63267,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1807,c_63146]) ).
tcf(c_63268,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1750,c_63146]) ).
tcf(c_63269,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1749,c_63146]) ).
tcf(c_63270,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1660,c_63146]) ).
tcf(c_63271,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1631,c_63146]) ).
tcf(c_63272,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1562,c_63146]) ).
tcf(c_63273,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1498,c_63146]) ).
tcf(c_63274,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1375,c_63146]) ).
tcf(c_63275,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1309,c_63146]) ).
tcf(c_63276,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1078,c_63146]) ).
tcf(c_63277,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1065,c_63146]) ).
tcf(c_63278,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1064,c_63146]) ).
tcf(c_63279,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1027,c_63146]) ).
tcf(c_63280,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1019,c_63146]) ).
tcf(c_63281,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1007,c_63146]) ).
tcf(c_63282,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_680,c_63146]) ).
tcf(c_63283,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_677,c_63146]) ).
tcf(c_63284,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_675,c_63146]) ).
tcf(c_63285,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_670,c_63146]) ).
tcf(c_63286,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_667,c_63146]) ).
tcf(c_63287,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_665,c_63146]) ).
tcf(c_63288,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_650,c_63146]) ).
tcf(c_63289,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_647,c_63146]) ).
tcf(c_63291,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_62537,c_63146]) ).
tcf(c_63292,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56325,c_63146]) ).
tcf(c_63293,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21379,c_63146]) ).
tcf(c_63294,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_20)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57538,c_63146]) ).
tcf(c_63295,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_25)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56276,c_63146]) ).
tcf(c_63296,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56264,c_63146]) ).
tcf(c_63297,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_22)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27210,c_63146]) ).
tcf(c_63298,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24123,c_63146]) ).
tcf(c_63299,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_14)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12691,c_63146]) ).
tcf(c_63300,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4899,c_63146]) ).
tcf(c_63301,plain,
multiply(inverse(sk_c11),iPr_def_25) = inverse(iPr_def_26),
inference(superposition,[status(thm)],[c_63146,c_15021]) ).
tcf(c_63302,plain,
! [X0: $i] : multiply(sk_c11,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_63146,c_105]) ).
tcf(c_63303,plain,
( ~ iPr_def_13
| ( inverse(sk_c11) != iPr_def_25 )
| ( inverse(inverse(sk_c11)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63146,c_638]) ).
tcf(c_63304,plain,
multiply(iPr_def_26,inverse(iPr_def_26)) = multiply(sk_c3,iPr_def_25),
inference(superposition,[status(thm)],[c_63146,c_2657]) ).
tcf(c_63307,plain,
multiply(iPr_def_26,inverse(iPr_def_26)) = identity,
inference(light_normalisation,[status(thm)],[c_63304,c_20530]) ).
tcf(c_63313,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_63300,c_23243]) ).
tcf(c_63322,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c11) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_63296,c_19364]) ).
tcf(c_63325,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c3) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_63295,c_20601]) ).
tcf(c_63458,plain,
( ~ iPr_def_13
| ( iPr_def_15 != iPr_def_25 )
| ( inverse(iPr_def_26) != sk_c11 )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_63303,c_623,c_19364]) ).
tcf(c_64040,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_63307]) ).
tcf(c_64041,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_63307]) ).
tcf(c_64042,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_63307]) ).
tcf(c_64043,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_63307]) ).
tcf(c_64044,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_63307]) ).
tcf(c_64045,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_63307]) ).
tcf(c_64046,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4899,c_63307]) ).
tcf(c_64047,plain,
multiply(inverse(iPr_def_26),identity) = inverse(iPr_def_26),
inference(superposition,[status(thm)],[c_63307,c_15021]) ).
tcf(c_64048,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(inverse(iPr_def_26),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_63307,c_105]) ).
tcf(c_64049,plain,
( ~ iPr_def_13
| ( inverse(iPr_def_26) != identity )
| ( inverse(inverse(iPr_def_26)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63307,c_638]) ).
tcf(c_64050,plain,
( ~ iPr_def_12
| ( sk_c11 != identity )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63307,c_639]) ).
tcf(c_64051,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( inverse(iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_63307,c_38674]) ).
tcf(c_64052,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_63307,c_37343]) ).
tcf(c_64053,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_63307,c_21381]) ).
tcf(c_64054,plain,
multiply(sk_c11,inverse(iPr_def_26)) = multiply(iPr_def_25,identity),
inference(superposition,[status(thm)],[c_63307,c_5997]) ).
tcf(c_64062,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(inverse(iPr_def_26),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_64048,c_103]) ).
tcf(c_64077,plain,
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(iPr_def_26) != identity )
| ( inverse(inverse(iPr_def_26)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_64049,c_63307]) ).
tcf(c_64098,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38670,c_32681]) ).
tcf(c_64099,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38667,c_32681]) ).
tcf(c_64100,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37340,c_32681]) ).
tcf(c_64101,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37337,c_32681]) ).
tcf(c_64102,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27054,c_32681]) ).
tcf(c_64103,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27013,c_32681]) ).
tcf(c_64104,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24769,c_32681]) ).
tcf(c_64105,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_23845,c_32681]) ).
tcf(c_64106,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22483,c_32681]) ).
tcf(c_64107,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18948,c_32681]) ).
tcf(c_64108,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18103,c_32681]) ).
tcf(c_64109,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_17565,c_32681]) ).
tcf(c_64110,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_32681]) ).
tcf(c_64111,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_32681]) ).
tcf(c_64112,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_32681]) ).
tcf(c_64113,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_32681]) ).
tcf(c_64114,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_32681]) ).
tcf(c_64115,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4190,c_32681]) ).
tcf(c_64116,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_32681]) ).
tcf(c_64117,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3915,c_32681]) ).
tcf(c_64118,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3857,c_32681]) ).
tcf(c_64119,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_32681]) ).
tcf(c_64120,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32681,c_15021]) ).
tcf(c_64121,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32681,c_639]) ).
tcf(c_64122,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_32681,c_104]) ).
tcf(c_64123,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32681,c_638]) ).
tcf(c_64124,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32681,c_26662]) ).
tcf(c_64125,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_24 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32681,c_23079]) ).
tcf(c_64126,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32681,c_9463]) ).
tcf(c_64127,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_32681,c_9276]) ).
tcf(c_64368,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64124,c_58555]) ).
tcf(c_64369,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64124,c_49676]) ).
tcf(c_64370,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64124,c_49675]) ).
tcf(c_64371,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64124,c_49673]) ).
tcf(c_64373,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_37280]) ).
tcf(c_64374,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_34339]) ).
tcf(c_64375,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_34338]) ).
tcf(c_64376,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_33973]) ).
tcf(c_64377,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_64124,c_33828]) ).
tcf(c_64378,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_33772]) ).
tcf(c_64379,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_64124,c_33478]) ).
tcf(c_64380,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_32436]) ).
tcf(c_64381,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_32435]) ).
tcf(c_64383,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64124,c_23164]) ).
tcf(c_64385,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64124,c_23038]) ).
tcf(c_64386,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64124,c_20988]) ).
tcf(c_64387,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_64124,c_16750]) ).
tcf(c_64388,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_64124,c_16715]) ).
tcf(c_64389,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_64124,c_103]) ).
tcf(c_64541,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_25),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63282,c_15021]) ).
tcf(c_64542,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63282,c_105]) ).
tcf(c_64543,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(iPr_def_25) != iPr_def_25 )
| ( inverse(inverse(iPr_def_25)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63282,c_638]) ).
tcf(c_64544,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63282,c_20535]) ).
tcf(c_64549,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c3 != iPr_def_25 )
| ( sk_c11 != identity )
| ( inverse(iPr_def_26) != iPr_def_25 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_64543,c_633,c_20601,c_63307]) ).
tcf(c_64577,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_22),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63283,c_15021]) ).
tcf(c_64578,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63283,c_105]) ).
tcf(c_64579,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(iPr_def_22) != iPr_def_25 )
| ( inverse(inverse(iPr_def_22)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63283,c_638]) ).
tcf(c_64581,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63283,c_27059]) ).
tcf(c_64584,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63283,c_27017]) ).
tcf(c_64585,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,inverse(iPr_def_26)) = multiply(iPr_def_21,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_63283,c_5730]) ).
tcf(c_64598,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(iPr_def_22) != iPr_def_25 )
| ( inverse(inverse(iPr_def_22)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_64579,c_63307]) ).
tcf(c_64700,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63284,c_15021]) ).
tcf(c_64701,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63284,c_105]) ).
tcf(c_64702,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(iPr_def_20) != iPr_def_25 )
| ( inverse(inverse(iPr_def_20)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63284,c_638]) ).
tcf(c_64709,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(iPr_def_20) != iPr_def_25 )
| ( inverse(inverse(iPr_def_20)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_64702,c_63307]) ).
tcf(c_64751,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38670,c_63285]) ).
tcf(c_64752,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38667,c_63285]) ).
tcf(c_64753,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37340,c_63285]) ).
tcf(c_64754,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37337,c_63285]) ).
tcf(c_64755,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27054,c_63285]) ).
tcf(c_64756,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27013,c_63285]) ).
tcf(c_64757,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24769,c_63285]) ).
tcf(c_64758,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23845,c_63285]) ).
tcf(c_64759,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_22483,c_63285]) ).
tcf(c_64760,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18948,c_63285]) ).
tcf(c_64761,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18103,c_63285]) ).
tcf(c_64762,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_17565,c_63285]) ).
tcf(c_64763,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12814,c_63285]) ).
tcf(c_64764,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12696,c_63285]) ).
tcf(c_64765,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10662,c_63285]) ).
tcf(c_64766,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10510,c_63285]) ).
tcf(c_64767,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4895,c_63285]) ).
tcf(c_64768,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4190,c_63285]) ).
tcf(c_64769,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4066,c_63285]) ).
tcf(c_64770,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3915,c_63285]) ).
tcf(c_64771,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3857,c_63285]) ).
tcf(c_64772,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3788,c_63285]) ).
tcf(c_64783,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63285,c_15021]) ).
tcf(c_64784,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63285,c_105]) ).
tcf(c_64785,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(iPr_def_28) != iPr_def_25 )
| ( inverse(inverse(iPr_def_28)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63285,c_638]) ).
tcf(c_64787,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_35960]) ).
tcf(c_64788,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_35915]) ).
tcf(c_64790,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_35886]) ).
tcf(c_64792,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_34810]) ).
tcf(c_64793,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_34772]) ).
tcf(c_64794,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_34706]) ).
tcf(c_64795,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_32875]) ).
tcf(c_64796,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_32821]) ).
tcf(c_64797,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63285,c_32683]) ).
tcf(c_64801,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,inverse(iPr_def_26)) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_63285,c_5599]) ).
tcf(c_64901,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(iPr_def_28) != iPr_def_25 )
| ( inverse(inverse(iPr_def_28)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_64785,c_63307]) ).
tcf(c_65082,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38670,c_63286]) ).
tcf(c_65083,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38667,c_63286]) ).
tcf(c_65084,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37340,c_63286]) ).
tcf(c_65085,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37337,c_63286]) ).
tcf(c_65086,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27054,c_63286]) ).
tcf(c_65087,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27013,c_63286]) ).
tcf(c_65088,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24769,c_63286]) ).
tcf(c_65089,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23845,c_63286]) ).
tcf(c_65090,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_22483,c_63286]) ).
tcf(c_65091,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18948,c_63286]) ).
tcf(c_65092,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18103,c_63286]) ).
tcf(c_65093,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_17565,c_63286]) ).
tcf(c_65094,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12814,c_63286]) ).
tcf(c_65095,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12696,c_63286]) ).
tcf(c_65096,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10662,c_63286]) ).
tcf(c_65097,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10510,c_63286]) ).
tcf(c_65098,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4895,c_63286]) ).
tcf(c_65099,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4190,c_63286]) ).
tcf(c_65100,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4066,c_63286]) ).
tcf(c_65101,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3915,c_63286]) ).
tcf(c_65102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3857,c_63286]) ).
tcf(c_65103,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3788,c_63286]) ).
tcf(c_65114,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63286,c_15021]) ).
tcf(c_65115,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63286,c_105]) ).
tcf(c_65116,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( inverse(iPr_def_28) != iPr_def_25 )
| ( inverse(inverse(iPr_def_28)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63286,c_638]) ).
tcf(c_65118,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_35960]) ).
tcf(c_65119,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_35915]) ).
tcf(c_65121,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_35886]) ).
tcf(c_65123,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_34810]) ).
tcf(c_65124,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_34772]) ).
tcf(c_65125,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_34706]) ).
tcf(c_65126,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_32875]) ).
tcf(c_65127,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_32821]) ).
tcf(c_65128,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63286,c_32683]) ).
tcf(c_65132,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,inverse(iPr_def_26)) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_63286,c_5599]) ).
tcf(c_65232,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(iPr_def_28) != iPr_def_25 )
| ( inverse(inverse(iPr_def_28)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_65116,c_63307]) ).
tcf(c_65893,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38670,c_63287]) ).
tcf(c_65894,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38667,c_63287]) ).
tcf(c_65895,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37340,c_63287]) ).
tcf(c_65896,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37337,c_63287]) ).
tcf(c_65897,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27054,c_63287]) ).
tcf(c_65898,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27013,c_63287]) ).
tcf(c_65899,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24769,c_63287]) ).
tcf(c_65900,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_23845,c_63287]) ).
tcf(c_65901,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_22483,c_63287]) ).
tcf(c_65902,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18948,c_63287]) ).
tcf(c_65903,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18103,c_63287]) ).
tcf(c_65904,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_17565,c_63287]) ).
tcf(c_65905,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12814,c_63287]) ).
tcf(c_65906,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12696,c_63287]) ).
tcf(c_65907,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10662,c_63287]) ).
tcf(c_65908,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_10510,c_63287]) ).
tcf(c_65909,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4895,c_63287]) ).
tcf(c_65910,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4190,c_63287]) ).
tcf(c_65911,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4066,c_63287]) ).
tcf(c_65912,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3915,c_63287]) ).
tcf(c_65913,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3857,c_63287]) ).
tcf(c_65914,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_3788,c_63287]) ).
tcf(c_65915,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_62537,c_63287]) ).
tcf(c_65916,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56325,c_63287]) ).
tcf(c_65917,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21379,c_63287]) ).
tcf(c_65918,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_20)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57538,c_63287]) ).
tcf(c_65919,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_25)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56276,c_63287]) ).
tcf(c_65920,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56264,c_63287]) ).
tcf(c_65921,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_22)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27210,c_63287]) ).
tcf(c_65922,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24123,c_63287]) ).
tcf(c_65923,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_14)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12691,c_63287]) ).
tcf(c_65924,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4899,c_63287]) ).
tcf(c_65925,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63287,c_15021]) ).
tcf(c_65926,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63287,c_105]) ).
tcf(c_65927,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(iPr_def_28) != iPr_def_25 )
| ( inverse(inverse(iPr_def_28)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63287,c_638]) ).
tcf(c_65929,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_35960]) ).
tcf(c_65930,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_35915]) ).
tcf(c_65932,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_35886]) ).
tcf(c_65934,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_34810]) ).
tcf(c_65935,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_34772]) ).
tcf(c_65936,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_34706]) ).
tcf(c_65937,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_32875]) ).
tcf(c_65938,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_32821]) ).
tcf(c_65939,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63287,c_32683]) ).
tcf(c_65943,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,inverse(iPr_def_26)) = multiply(iPr_def_27,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_63287,c_5599]) ).
tcf(c_65986,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_65924,c_23243]) ).
tcf(c_65999,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c11) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_65920,c_19364]) ).
tcf(c_66003,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c3) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_65919,c_20601]) ).
tcf(c_66076,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(iPr_def_28) != iPr_def_25 )
| ( inverse(inverse(iPr_def_28)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_65927,c_63307]) ).
tcf(c_66264,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,inverse(iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_58334,c_63288]) ).
tcf(c_66265,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57160,c_63288]) ).
tcf(c_66266,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,inverse(iPr_def_26)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_52084,c_63288]) ).
tcf(c_66267,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_47889,c_63288]) ).
tcf(c_66268,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4648,c_63288]) ).
tcf(c_66269,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_4474,c_63288]) ).
tcf(c_66270,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_62537,c_63288]) ).
tcf(c_66271,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56325,c_63288]) ).
tcf(c_66272,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21379,c_63288]) ).
tcf(c_66273,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_20)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57538,c_63288]) ).
tcf(c_66274,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_25)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56276,c_63288]) ).
tcf(c_66275,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56264,c_63288]) ).
tcf(c_66276,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_22)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27210,c_63288]) ).
tcf(c_66277,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24123,c_63288]) ).
tcf(c_66278,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_14)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12691,c_63288]) ).
tcf(c_66279,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4899,c_63288]) ).
tcf(c_66280,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63288,c_15021]) ).
tcf(c_66281,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63288,c_105]) ).
tcf(c_66282,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_25) != iPr_def_25 )
| ( inverse(inverse(iPr_def_25)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63288,c_638]) ).
tcf(c_66283,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63288,c_20535]) ).
tcf(c_66295,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_66279,c_23243]) ).
tcf(c_66308,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c11) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_66275,c_19364]) ).
tcf(c_66334,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c3 != iPr_def_25 )
| ( sk_c11 != identity )
| ( inverse(iPr_def_26) != iPr_def_25 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_66282,c_633,c_20601,c_63307]) ).
tcf(c_66530,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_41547,c_63289]) ).
tcf(c_66531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27630,c_63289]) ).
tcf(c_66533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_62537,c_63289]) ).
tcf(c_66534,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_15) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56325,c_63289]) ).
tcf(c_66535,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_21379,c_63289]) ).
tcf(c_66536,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_20)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_57538,c_63289]) ).
tcf(c_66537,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_25)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56276,c_63289]) ).
tcf(c_66538,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_15)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56264,c_63289]) ).
tcf(c_66539,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_27210,c_63289]) ).
tcf(c_66540,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_24)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_24123,c_63289]) ).
tcf(c_66541,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_14)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_12691,c_63289]) ).
tcf(c_66542,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_4899,c_63289]) ).
tcf(c_66543,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),iPr_def_25) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63289,c_15021]) ).
tcf(c_66544,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63289,c_105]) ).
tcf(c_66545,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(iPr_def_22) != iPr_def_25 )
| ( inverse(inverse(iPr_def_22)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63289,c_638]) ).
tcf(c_66546,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63289,c_27213]) ).
tcf(c_66547,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63289,c_27059]) ).
tcf(c_66550,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63289,c_27017]) ).
tcf(c_66551,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,inverse(iPr_def_26)) = multiply(iPr_def_21,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_63289,c_5730]) ).
tcf(c_66576,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_66542,c_23243]) ).
tcf(c_66589,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c11) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_66538,c_19364]) ).
tcf(c_66593,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c3) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_66537,c_20601]) ).
tcf(c_66606,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(iPr_def_22) != iPr_def_25 )
| ( inverse(inverse(iPr_def_22)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_66545,c_63307]) ).
tcf(c_66687,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57538,c_64062]) ).
tcf(c_66688,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_25),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56276,c_64062]) ).
tcf(c_66689,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_15),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_56264,c_64062]) ).
tcf(c_66690,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_22),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27210,c_64062]) ).
tcf(c_66691,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_24),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24123,c_64062]) ).
tcf(c_66692,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12691,c_64062]) ).
tcf(c_66693,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4899,c_64062]) ).
tcf(c_66694,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_26),X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_64062,c_105]) ).
tcf(c_66750,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_64122]) ).
tcf(c_66751,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_64122]) ).
tcf(c_66752,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_64122]) ).
tcf(c_66753,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_64122]) ).
tcf(c_66754,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_64122]) ).
tcf(c_66755,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_64122]) ).
tcf(c_66756,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_64122]) ).
tcf(c_66757,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_64122]) ).
tcf(c_66758,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_64122]) ).
tcf(c_66759,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_64122]) ).
tcf(c_66760,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_64122]) ).
tcf(c_66761,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_64122]) ).
tcf(c_66762,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_64122]) ).
tcf(c_66763,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_64122]) ).
tcf(c_66764,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_64122]) ).
tcf(c_66765,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_64122]) ).
tcf(c_66766,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_64122]) ).
tcf(c_66767,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_64122]) ).
tcf(c_66768,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_64122]) ).
tcf(c_66769,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_64122]) ).
tcf(c_66770,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_64122]) ).
tcf(c_66771,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_64122]) ).
tcf(c_66772,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_15021]) ).
tcf(c_66773,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_64122,c_105]) ).
tcf(c_66774,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_6007]) ).
tcf(c_66777,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_6006]) ).
tcf(c_66779,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_6005]) ).
tcf(c_66786,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_6019]) ).
tcf(c_66787,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_6018]) ).
tcf(c_66788,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_6017]) ).
tcf(c_66789,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_64122,c_5599]) ).
tcf(c_67069,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_64389,c_15021]) ).
tcf(c_67070,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_64389,c_105]) ).
tcf(c_67071,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_64389,c_640]) ).
tcf(c_67072,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_22) )
| ( inverse(inverse(iPr_def_22)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64389,c_638]) ).
tcf(c_67073,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64389,c_641]) ).
tcf(c_67074,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64389,c_639]) ).
tcf(c_67075,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_64389,c_6021]) ).
tcf(c_67076,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_64389,c_6015]) ).
tcf(c_67077,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_64389,c_5730]) ).
tcf(c_67079,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64389,c_19176]) ).
tcf(c_67080,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_15 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_64389,c_19170]) ).
tcf(c_67085,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64389,c_63289]) ).
tcf(c_67086,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64389,c_63283]) ).
tcf(c_67193,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_58560,c_63302]) ).
tcf(c_67194,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_57196,c_63302]) ).
tcf(c_67195,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_56321,c_63302]) ).
tcf(c_67196,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_57077,c_63302]) ).
tcf(c_67197,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_55940,c_63302]) ).
tcf(c_67198,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_55939,c_63302]) ).
tcf(c_67199,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_55123,c_63302]) ).
tcf(c_67200,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_54345,c_63302]) ).
tcf(c_67201,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_54110,c_63302]) ).
tcf(c_67202,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_50767,c_63302]) ).
tcf(c_67203,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_50525,c_63302]) ).
tcf(c_67204,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_50524,c_63302]) ).
tcf(c_67205,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_50389,c_63302]) ).
tcf(c_67206,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_48544,c_63302]) ).
tcf(c_67207,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_48132,c_63302]) ).
tcf(c_67208,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_47834,c_63302]) ).
tcf(c_67209,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_41741,c_63302]) ).
tcf(c_67210,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_21727,c_63302]) ).
tcf(c_67211,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_32441,c_63302]) ).
tcf(c_67212,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_32440,c_63302]) ).
tcf(c_67213,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_32438,c_63302]) ).
tcf(c_67214,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_26121,c_63302]) ).
tcf(c_67215,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_26120,c_63302]) ).
tcf(c_67216,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_26119,c_63302]) ).
tcf(c_67217,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_21920,c_63302]) ).
tcf(c_67218,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_21919,c_63302]) ).
tcf(c_67219,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_21918,c_63302]) ).
tcf(c_67220,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_21608,c_63302]) ).
tcf(c_67221,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_20561,c_63302]) ).
tcf(c_67222,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_20560,c_63302]) ).
tcf(c_67223,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_12611,c_63302]) ).
tcf(c_67224,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_12609,c_63302]) ).
tcf(c_67228,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_10426,c_63302]) ).
tcf(c_67229,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_10425,c_63302]) ).
tcf(c_67233,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_9112,c_63302]) ).
tcf(c_67234,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_9111,c_63302]) ).
tcf(c_67238,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1807,c_63302]) ).
tcf(c_67239,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1750,c_63302]) ).
tcf(c_67240,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1749,c_63302]) ).
tcf(c_67241,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1660,c_63302]) ).
tcf(c_67242,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1631,c_63302]) ).
tcf(c_67243,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1562,c_63302]) ).
tcf(c_67244,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1498,c_63302]) ).
tcf(c_67245,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1375,c_63302]) ).
tcf(c_67246,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1309,c_63302]) ).
tcf(c_67247,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1078,c_63302]) ).
tcf(c_67248,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1065,c_63302]) ).
tcf(c_67249,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1064,c_63302]) ).
tcf(c_67250,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1027,c_63302]) ).
tcf(c_67251,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1019,c_63302]) ).
tcf(c_67252,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_1007,c_63302]) ).
tcf(c_67261,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_645,c_63302]) ).
tcf(c_67266,plain,
! [X0: $i] : multiply(sk_c11,multiply(iPr_def_15,X0)) = multiply(iPr_def_25,multiply(sk_c3,X0)),
inference(superposition,[status(thm)],[c_20375,c_63302]) ).
tcf(c_67267,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(iPr_def_25,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_62537,c_63302]) ).
tcf(c_67268,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(iPr_def_15,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_56325,c_63302]) ).
tcf(c_67269,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_21379,c_63302]) ).
tcf(c_67270,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_57538,c_63302]) ).
tcf(c_67271,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_25),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_56276,c_63302]) ).
tcf(c_67272,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_15),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_56264,c_63302]) ).
tcf(c_67273,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_22),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_27210,c_63302]) ).
tcf(c_67274,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_24),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_24123,c_63302]) ).
tcf(c_67275,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_14),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_12691,c_63302]) ).
tcf(c_67276,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_23),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_4899,c_63302]) ).
tcf(c_67277,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_25,X0)) = multiply(inverse(iPr_def_26),X0),
inference(superposition,[status(thm)],[c_63302,c_15021]) ).
tcf(c_67278,plain,
! [X0: $i,X1: $i] : multiply(sk_c11,multiply(multiply(inverse(iPr_def_26),X0),X1)) = multiply(multiply(iPr_def_25,X0),X1),
inference(superposition,[status(thm)],[c_63302,c_105]) ).
tcf(c_67279,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(inverse(iPr_def_26),X0)) = multiply(sk_c3,multiply(iPr_def_25,X0)),
inference(superposition,[status(thm)],[c_63302,c_2657]) ).
tcf(c_67289,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c4,X0)) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_67276,c_23243]) ).
tcf(c_67298,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c11,X0)) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_67272,c_19364]) ).
tcf(c_67301,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c3,X0)) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_67271,c_20601]) ).
tcf(c_67598,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_32819]) ).
tcf(c_67599,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_32819]) ).
tcf(c_67600,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_32819]) ).
tcf(c_67601,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_32819]) ).
tcf(c_67603,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4190,c_32819]) ).
tcf(c_67604,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_32819]) ).
tcf(c_67606,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3857,c_32819]) ).
tcf(c_67607,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_32819]) ).
tcf(c_67608,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32819,c_15021]) ).
tcf(c_67609,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32819,c_639]) ).
tcf(c_67610,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_32819,c_104]) ).
tcf(c_67611,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32819,c_638]) ).
tcf(c_67617,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32819,c_3866]) ).
tcf(c_67618,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32819,c_3796]) ).
tcf(c_67703,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_64122]) ).
tcf(c_67704,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67617,c_63287]) ).
tcf(c_67705,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67617,c_63286]) ).
tcf(c_67706,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67617,c_63285]) ).
tcf(c_67708,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67617,c_6007]) ).
tcf(c_67711,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67617,c_6006]) ).
tcf(c_67724,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67617,c_6019]) ).
tcf(c_67725,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67617,c_6018]) ).
tcf(c_67726,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67617,c_6017]) ).
tcf(c_67727,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_26660]) ).
tcf(c_67730,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_26662]) ).
tcf(c_67732,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_23077]) ).
tcf(c_67734,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_23079]) ).
tcf(c_67742,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_9461]) ).
tcf(c_67743,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_9274]) ).
tcf(c_67744,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_15,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_67617,c_5599]) ).
tcf(c_67746,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_3863]) ).
tcf(c_67747,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_3793]) ).
tcf(c_67749,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_3864]) ).
tcf(c_67750,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_3794]) ).
tcf(c_67753,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_10662]) ).
tcf(c_67754,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_10510]) ).
tcf(c_67755,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_9463]) ).
tcf(c_67756,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_9276]) ).
tcf(c_67757,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_1464]) ).
tcf(c_67758,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_1463]) ).
tcf(c_67759,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_1397]) ).
tcf(c_67760,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_1396]) ).
tcf(c_67761,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67617,c_1327]) ).
tcf(c_67762,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_1326]) ).
tcf(c_67763,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_3928]) ).
tcf(c_67765,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_3866]) ).
tcf(c_67766,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_3796]) ).
tcf(c_67767,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_4190]) ).
tcf(c_67768,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_4066]) ).
tcf(c_67770,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_67617,c_3857]) ).
tcf(c_67771,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_67617,c_3788]) ).
tcf(c_67772,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_1466]) ).
tcf(c_67773,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_1399]) ).
tcf(c_67774,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_1329]) ).
tcf(c_67775,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_67617,c_5304]) ).
tcf(c_67780,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67765,c_19364]) ).
tcf(c_67803,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67774,c_19364]) ).
tcf(c_67807,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67773,c_19364]) ).
tcf(c_67811,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67772,c_19364]) ).
tcf(c_67815,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67766,c_19364]) ).
tcf(c_67820,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67756,c_19364]) ).
tcf(c_67824,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67755,c_19364]) ).
tcf(c_67828,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67734,c_19364]) ).
tcf(c_67832,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_67730,c_19364]) ).
tcf(c_68067,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67767,c_26099]) ).
tcf(c_68068,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_18) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_67767,c_26169]) ).
tcf(c_68069,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c5,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_67767,c_26094]) ).
tcf(c_68070,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_67767,c_5730]) ).
tcf(c_68089,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_67767,c_5696]) ).
tcf(c_68090,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(sk_c5,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67767,c_2680]) ).
tcf(c_68091,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c5) = identity ) ),
inference(superposition,[status(thm)],[c_67767,c_1210]) ).
tcf(c_68092,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c5 = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_68068,c_31945]) ).
tcf(c_68135,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c5,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67770,c_26099]) ).
tcf(c_68136,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_18) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_67770,c_26169]) ).
tcf(c_68137,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_67770,c_26094]) ).
tcf(c_68138,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_67770,c_5730]) ).
tcf(c_68157,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_67770,c_5696]) ).
tcf(c_68158,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(sk_c5,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67770,c_2680]) ).
tcf(c_68159,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c5) = identity ) ),
inference(superposition,[status(thm)],[c_67770,c_1210]) ).
tcf(c_68160,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c5 = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_68136,c_31945]) ).
tcf(c_68209,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_41722,c_6240]) ).
tcf(c_68210,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),sk_c2) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6240,c_15021]) ).
tcf(c_68212,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,sk_c2) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6240,c_32418]) ).
tcf(c_68267,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_67610]) ).
tcf(c_68268,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_67610]) ).
tcf(c_68269,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_67610]) ).
tcf(c_68270,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_67610]) ).
tcf(c_68272,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_67610]) ).
tcf(c_68273,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_67610]) ).
tcf(c_68275,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_67610]) ).
tcf(c_68276,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_67610]) ).
tcf(c_68277,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67610,c_15021]) ).
tcf(c_68278,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_67610,c_105]) ).
tcf(c_68279,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67610,c_6007]) ).
tcf(c_68282,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67610,c_6006]) ).
tcf(c_68291,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67610,c_6019]) ).
tcf(c_68292,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67610,c_6018]) ).
tcf(c_68293,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67610,c_6017]) ).
tcf(c_68294,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_67610,c_5599]) ).
tcf(c_68435,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c9),X0) = multiply(iPr_def_28,multiply(sk_c9,X0)),
inference(light_normalisation,[status(thm)],[c_14509,c_14544]) ).
tcf(c_68446,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19391]) ).
tcf(c_68448,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1664,c_19391]) ).
tcf(c_68450,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1594,c_19391]) ).
tcf(c_68502,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6015,c_19391]) ).
tcf(c_68504,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6016,c_19391]) ).
tcf(c_68506,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19391,c_15021]) ).
tcf(c_68507,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19391,c_105]) ).
tcf(c_68673,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19426]) ).
tcf(c_68676,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1215,c_19426]) ).
tcf(c_68677,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1594,c_19426]) ).
tcf(c_68729,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6016,c_19426]) ).
tcf(c_68731,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_22),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19426,c_15021]) ).
tcf(c_68732,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19426,c_105]) ).
tcf(c_68737,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_19426,c_5730]) ).
tcf(c_68826,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_67780,c_63302]) ).
tcf(c_68827,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_67780,c_63146]) ).
tcf(c_68844,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67780,c_50525]) ).
tcf(c_68845,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67780,c_50524]) ).
tcf(c_68846,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67780,c_50389]) ).
tcf(c_68851,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67780,c_32441]) ).
tcf(c_68852,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67780,c_32440]) ).
tcf(c_68853,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67780,c_32438]) ).
tcf(c_68854,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_67780,c_3392]) ).
tcf(c_68867,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_67780,c_2657]) ).
tcf(c_68893,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_67780,c_641]) ).
tcf(c_68901,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_67780,c_680]) ).
tcf(c_68902,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_67780,c_677]) ).
tcf(c_68903,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_67780,c_675]) ).
tcf(c_68909,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_67780,c_650]) ).
tcf(c_68911,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_67780,c_647]) ).
tcf(c_68912,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_67780,c_645]) ).
tcf(c_69169,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68092,c_26099]) ).
tcf(c_69170,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_68092,c_26094]) ).
tcf(c_69171,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_22,sk_c10) ) ),
inference(superposition,[status(thm)],[c_68092,c_13757]) ).
tcf(c_69172,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_68092,c_2659]) ).
tcf(c_69173,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68092,c_1864]) ).
tcf(c_69174,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68092,c_1543]) ).
tcf(c_69175,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68092,c_1288]) ).
tcf(c_69176,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68092,c_1177]) ).
tcf(c_69177,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68092,c_1175]) ).
tcf(c_69178,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c6,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68092,c_2680]) ).
tcf(c_69179,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c6) = identity ) ),
inference(superposition,[status(thm)],[c_68092,c_1210]) ).
tcf(c_69180,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c6,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68092,c_630]) ).
tcf(c_69181,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(sk_c6) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_68092,c_629]) ).
tcf(c_69327,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68160,c_26099]) ).
tcf(c_69328,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_68160,c_26094]) ).
tcf(c_69329,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_20) = multiply(iPr_def_22,sk_c10) ) ),
inference(superposition,[status(thm)],[c_68160,c_13757]) ).
tcf(c_69330,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_68160,c_2659]) ).
tcf(c_69331,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68160,c_1864]) ).
tcf(c_69332,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68160,c_1543]) ).
tcf(c_69333,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68160,c_1288]) ).
tcf(c_69334,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68160,c_1177]) ).
tcf(c_69335,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68160,c_1175]) ).
tcf(c_69336,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(sk_c6,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_68160,c_2680]) ).
tcf(c_69337,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c6) = identity ) ),
inference(superposition,[status(thm)],[c_68160,c_1210]) ).
tcf(c_69338,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c6,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_68160,c_630]) ).
tcf(c_69339,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(sk_c6) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_68160,c_629]) ).
tcf(c_69390,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_32873]) ).
tcf(c_69391,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_32873]) ).
tcf(c_69392,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_32873]) ).
tcf(c_69393,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_32873]) ).
tcf(c_69396,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_32873]) ).
tcf(c_69399,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_32873]) ).
tcf(c_69400,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_32873,c_15021]) ).
tcf(c_69401,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32873,c_639]) ).
tcf(c_69402,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_32873,c_104]) ).
tcf(c_69403,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_32873,c_638]) ).
tcf(c_69410,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_32873,c_3796]) ).
tcf(c_69543,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_684,c_69180]) ).
tcf(c_69544,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_69180]) ).
tcf(c_69545,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_674,c_69180]) ).
tcf(c_69546,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_69180]) ).
tcf(c_69547,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_664,c_69180]) ).
tcf(c_69548,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_69180]) ).
tcf(c_69549,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_654,c_69180]) ).
tcf(c_69550,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_69180]) ).
tcf(c_69551,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_644,c_69180]) ).
tcf(c_69552,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_642,c_69180]) ).
tcf(c_69563,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_686,c_69180]) ).
tcf(c_69565,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_676,c_69180]) ).
tcf(c_69567,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_666,c_69180]) ).
tcf(c_69569,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_656,c_69180]) ).
tcf(c_69571,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_646,c_69180]) ).
tcf(c_69573,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(sk_c6),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_69180,c_15021]) ).
tcf(c_69709,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_684,c_69338]) ).
tcf(c_69710,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_69338]) ).
tcf(c_69711,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_674,c_69338]) ).
tcf(c_69712,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_672,c_69338]) ).
tcf(c_69713,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_664,c_69338]) ).
tcf(c_69714,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_662,c_69338]) ).
tcf(c_69715,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_654,c_69338]) ).
tcf(c_69716,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_69338]) ).
tcf(c_69717,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_644,c_69338]) ).
tcf(c_69718,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c8) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_642,c_69338]) ).
tcf(c_69729,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_686,c_69338]) ).
tcf(c_69731,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_676,c_69338]) ).
tcf(c_69733,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_666,c_69338]) ).
tcf(c_69735,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_656,c_69338]) ).
tcf(c_69737,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c6,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_646,c_69338]) ).
tcf(c_69739,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(sk_c6),iPr_def_22) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_69338,c_15021]) ).
tcf(c_70000,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_69402]) ).
tcf(c_70001,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_69402]) ).
tcf(c_70002,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_69402]) ).
tcf(c_70003,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_69402]) ).
tcf(c_70006,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_69402]) ).
tcf(c_70009,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_69402]) ).
tcf(c_70010,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_69402,c_15021]) ).
tcf(c_70011,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_69402,c_105]) ).
tcf(c_70012,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_69402,c_6007]) ).
tcf(c_70024,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_69402,c_6019]) ).
tcf(c_70025,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_69402,c_6018]) ).
tcf(c_70026,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_69402,c_6017]) ).
tcf(c_70027,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_69402,c_5599]) ).
tcf(c_70066,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19453]) ).
tcf(c_70068,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1664,c_19453]) ).
tcf(c_70124,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19453,c_15021]) ).
tcf(c_70125,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19453,c_105]) ).
tcf(c_70166,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_69410,c_64122]) ).
tcf(c_70167,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_69410,c_63287]) ).
tcf(c_70168,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_69410,c_63286]) ).
tcf(c_70169,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_69410,c_63285]) ).
tcf(c_70171,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69410,c_6007]) ).
tcf(c_70187,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69410,c_6019]) ).
tcf(c_70188,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69410,c_6018]) ).
tcf(c_70189,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69410,c_6017]) ).
tcf(c_70190,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_26660]) ).
tcf(c_70193,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_26662]) ).
tcf(c_70195,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_23077]) ).
tcf(c_70197,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_23079]) ).
tcf(c_70205,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_9461]) ).
tcf(c_70206,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_9274]) ).
tcf(c_70207,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_15,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_69410,c_5599]) ).
tcf(c_70210,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_69410,c_3793]) ).
tcf(c_70213,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_3794]) ).
tcf(c_70216,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_10662]) ).
tcf(c_70217,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_10510]) ).
tcf(c_70218,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_9463]) ).
tcf(c_70219,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_9276]) ).
tcf(c_70220,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_1464]) ).
tcf(c_70221,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_69410,c_1463]) ).
tcf(c_70222,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_1397]) ).
tcf(c_70223,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_69410,c_1396]) ).
tcf(c_70224,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_69410,c_1327]) ).
tcf(c_70225,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_69410,c_1326]) ).
tcf(c_70226,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_3928]) ).
tcf(c_70229,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_3796]) ).
tcf(c_70231,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_4066]) ).
tcf(c_70234,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_69410,c_3788]) ).
tcf(c_70235,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_1466]) ).
tcf(c_70236,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_1399]) ).
tcf(c_70237,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_1329]) ).
tcf(c_70238,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_69410,c_5304]) ).
tcf(c_70243,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70229,c_19364]) ).
tcf(c_70260,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70237,c_19364]) ).
tcf(c_70264,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70236,c_19364]) ).
tcf(c_70268,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70235,c_19364]) ).
tcf(c_70273,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70219,c_19364]) ).
tcf(c_70277,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70218,c_19364]) ).
tcf(c_70281,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70197,c_19364]) ).
tcf(c_70285,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_70193,c_19364]) ).
tcf(c_70454,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_70231,c_29164]) ).
tcf(c_70455,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_70231,c_29247]) ).
tcf(c_70456,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_70231,c_29159]) ).
tcf(c_70462,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_70231,c_5694]) ).
tcf(c_70468,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_70231,c_5677]) ).
tcf(c_70469,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c7,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_70231,c_2679]) ).
tcf(c_70470,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c7) = identity ) ),
inference(superposition,[status(thm)],[c_70231,c_1211]) ).
tcf(c_70492,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_70234,c_29164]) ).
tcf(c_70493,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_70234,c_29247]) ).
tcf(c_70494,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_70234,c_29159]) ).
tcf(c_70500,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_70234,c_5694]) ).
tcf(c_70506,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_70234,c_5677]) ).
tcf(c_70507,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c7,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_70234,c_2679]) ).
tcf(c_70508,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c7) = identity ) ),
inference(superposition,[status(thm)],[c_70234,c_1211]) ).
tcf(c_70598,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_70243,c_63302]) ).
tcf(c_70599,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_70243,c_63146]) ).
tcf(c_70616,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70243,c_50525]) ).
tcf(c_70617,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70243,c_50524]) ).
tcf(c_70618,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70243,c_50389]) ).
tcf(c_70623,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70243,c_32441]) ).
tcf(c_70624,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70243,c_32440]) ).
tcf(c_70625,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_70243,c_32438]) ).
tcf(c_70626,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_70243,c_3392]) ).
tcf(c_70639,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_70243,c_2657]) ).
tcf(c_70665,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_70243,c_641]) ).
tcf(c_70673,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_70243,c_680]) ).
tcf(c_70674,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_70243,c_677]) ).
tcf(c_70675,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_70243,c_675]) ).
tcf(c_70681,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_70243,c_650]) ).
tcf(c_70683,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_70243,c_647]) ).
tcf(c_70684,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_70243,c_645]) ).
tcf(c_70819,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_19481]) ).
tcf(c_70820,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_19481]) ).
tcf(c_70821,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_19481]) ).
tcf(c_70822,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_19481]) ).
tcf(c_70823,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_19481]) ).
tcf(c_70824,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_19481]) ).
tcf(c_70825,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_19481]) ).
tcf(c_70826,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_19481]) ).
tcf(c_70827,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_19481]) ).
tcf(c_70828,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_19481]) ).
tcf(c_70829,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_19481]) ).
tcf(c_70830,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_19481]) ).
tcf(c_70831,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_19481]) ).
tcf(c_70832,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_19481]) ).
tcf(c_70833,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_19481]) ).
tcf(c_70834,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_19481]) ).
tcf(c_70835,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_19481]) ).
tcf(c_70836,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_19481]) ).
tcf(c_70837,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_19481]) ).
tcf(c_70838,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_19481]) ).
tcf(c_70839,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_19481]) ).
tcf(c_70840,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_19481]) ).
tcf(c_70841,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19481]) ).
tcf(c_70847,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3925,c_19481]) ).
tcf(c_70848,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3863,c_19481]) ).
tcf(c_70849,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3793,c_19481]) ).
tcf(c_70851,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1396,c_19481]) ).
tcf(c_70852,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1326,c_19481]) ).
tcf(c_70861,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2219,c_19481]) ).
tcf(c_70862,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2084,c_19481]) ).
tcf(c_70863,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2007,c_19481]) ).
tcf(c_70864,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_19481]) ).
tcf(c_70865,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3167,c_19481]) ).
tcf(c_70866,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3049,c_19481]) ).
tcf(c_70867,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2934,c_19481]) ).
tcf(c_70868,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2822,c_19481]) ).
tcf(c_70869,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2605,c_19481]) ).
tcf(c_70872,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4912,c_19481]) ).
tcf(c_70873,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4660,c_19481]) ).
tcf(c_70874,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4485,c_19481]) ).
tcf(c_70875,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4353,c_19481]) ).
tcf(c_70876,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4206,c_19481]) ).
tcf(c_70877,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4081,c_19481]) ).
tcf(c_70878,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6004,c_19481]) ).
tcf(c_70879,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6003,c_19481]) ).
tcf(c_70880,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6002,c_19481]) ).
tcf(c_70881,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6001,c_19481]) ).
tcf(c_70882,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6000,c_19481]) ).
tcf(c_70883,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_5999,c_19481]) ).
tcf(c_70884,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6013,c_19481]) ).
tcf(c_70885,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6012,c_19481]) ).
tcf(c_70886,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6011,c_19481]) ).
tcf(c_70887,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6010,c_19481]) ).
tcf(c_70888,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6009,c_19481]) ).
tcf(c_70889,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6008,c_19481]) ).
tcf(c_70895,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19481,c_15021]) ).
tcf(c_70896,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19481,c_105]) ).
tcf(c_70906,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_19481,c_5599]) ).
tcf(c_71169,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_19592]) ).
tcf(c_71170,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_19592]) ).
tcf(c_71171,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_19592]) ).
tcf(c_71172,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_19592]) ).
tcf(c_71173,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_19592]) ).
tcf(c_71174,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_19592]) ).
tcf(c_71175,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_19592]) ).
tcf(c_71176,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_19592]) ).
tcf(c_71177,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_19592]) ).
tcf(c_71178,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_19592]) ).
tcf(c_71179,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_19592]) ).
tcf(c_71180,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_19592]) ).
tcf(c_71181,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_19592]) ).
tcf(c_71182,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_19592]) ).
tcf(c_71183,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_19592]) ).
tcf(c_71184,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_19592]) ).
tcf(c_71185,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_19592]) ).
tcf(c_71186,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_19592]) ).
tcf(c_71187,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_19592]) ).
tcf(c_71188,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_19592]) ).
tcf(c_71189,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_19592]) ).
tcf(c_71190,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_19592]) ).
tcf(c_71191,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19592]) ).
tcf(c_71197,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3925,c_19592]) ).
tcf(c_71198,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3863,c_19592]) ).
tcf(c_71199,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3793,c_19592]) ).
tcf(c_71202,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1326,c_19592]) ).
tcf(c_71212,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2084,c_19592]) ).
tcf(c_71213,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2007,c_19592]) ).
tcf(c_71214,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_19592]) ).
tcf(c_71215,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3167,c_19592]) ).
tcf(c_71216,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3049,c_19592]) ).
tcf(c_71217,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2934,c_19592]) ).
tcf(c_71218,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2822,c_19592]) ).
tcf(c_71219,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2605,c_19592]) ).
tcf(c_71222,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4912,c_19592]) ).
tcf(c_71223,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4660,c_19592]) ).
tcf(c_71224,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4485,c_19592]) ).
tcf(c_71225,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4353,c_19592]) ).
tcf(c_71226,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4206,c_19592]) ).
tcf(c_71227,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4081,c_19592]) ).
tcf(c_71228,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6004,c_19592]) ).
tcf(c_71229,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6003,c_19592]) ).
tcf(c_71230,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6002,c_19592]) ).
tcf(c_71231,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6001,c_19592]) ).
tcf(c_71232,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6000,c_19592]) ).
tcf(c_71233,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_5999,c_19592]) ).
tcf(c_71234,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6013,c_19592]) ).
tcf(c_71235,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6012,c_19592]) ).
tcf(c_71236,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6011,c_19592]) ).
tcf(c_71237,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6010,c_19592]) ).
tcf(c_71238,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6009,c_19592]) ).
tcf(c_71239,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6008,c_19592]) ).
tcf(c_71245,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19592,c_15021]) ).
tcf(c_71246,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19592,c_105]) ).
tcf(c_71256,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_19592,c_5599]) ).
tcf(c_71563,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38670,c_19682]) ).
tcf(c_71564,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38667,c_19682]) ).
tcf(c_71565,plain,
! [X0: $i] :
( ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37340,c_19682]) ).
tcf(c_71566,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37337,c_19682]) ).
tcf(c_71567,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27054,c_19682]) ).
tcf(c_71568,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_27013,c_19682]) ).
tcf(c_71569,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_24769,c_19682]) ).
tcf(c_71570,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23845,c_19682]) ).
tcf(c_71571,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_22483,c_19682]) ).
tcf(c_71572,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18948,c_19682]) ).
tcf(c_71573,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_18103,c_19682]) ).
tcf(c_71574,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_17565,c_19682]) ).
tcf(c_71575,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12814,c_19682]) ).
tcf(c_71576,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_12696,c_19682]) ).
tcf(c_71577,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10662,c_19682]) ).
tcf(c_71578,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10510,c_19682]) ).
tcf(c_71579,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4895,c_19682]) ).
tcf(c_71580,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4190,c_19682]) ).
tcf(c_71581,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4066,c_19682]) ).
tcf(c_71582,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3915,c_19682]) ).
tcf(c_71583,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3857,c_19682]) ).
tcf(c_71584,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_3788,c_19682]) ).
tcf(c_71585,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19682]) ).
tcf(c_71591,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3925,c_19682]) ).
tcf(c_71592,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3863,c_19682]) ).
tcf(c_71593,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3793,c_19682]) ).
tcf(c_71607,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2007,c_19682]) ).
tcf(c_71608,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_19682]) ).
tcf(c_71609,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3167,c_19682]) ).
tcf(c_71610,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3049,c_19682]) ).
tcf(c_71611,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2934,c_19682]) ).
tcf(c_71612,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2822,c_19682]) ).
tcf(c_71613,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2605,c_19682]) ).
tcf(c_71615,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_19682]) ).
tcf(c_71616,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4912,c_19682]) ).
tcf(c_71617,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4660,c_19682]) ).
tcf(c_71618,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4485,c_19682]) ).
tcf(c_71619,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4353,c_19682]) ).
tcf(c_71620,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4206,c_19682]) ).
tcf(c_71621,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4081,c_19682]) ).
tcf(c_71622,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6004,c_19682]) ).
tcf(c_71623,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6003,c_19682]) ).
tcf(c_71624,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6002,c_19682]) ).
tcf(c_71625,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6001,c_19682]) ).
tcf(c_71626,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6000,c_19682]) ).
tcf(c_71627,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_5999,c_19682]) ).
tcf(c_71628,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6013,c_19682]) ).
tcf(c_71629,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6012,c_19682]) ).
tcf(c_71630,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6011,c_19682]) ).
tcf(c_71631,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6010,c_19682]) ).
tcf(c_71632,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6009,c_19682]) ).
tcf(c_71633,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_6008,c_19682]) ).
tcf(c_71639,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19682,c_15021]) ).
tcf(c_71640,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19682,c_105]) ).
tcf(c_71650,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_19682,c_5599]) ).
tcf(c_71879,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_58334,c_19812]) ).
tcf(c_71881,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_52084,c_19812]) ).
tcf(c_71885,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19812]) ).
tcf(c_71888,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1215,c_19812]) ).
tcf(c_71890,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_19812]) ).
tcf(c_71915,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_19812]) ).
tcf(c_71940,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6021,c_19812]) ).
tcf(c_71942,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_6022,c_19812]) ).
tcf(c_71945,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19812,c_15021]) ).
tcf(c_71946,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19812,c_105]) ).
tcf(c_72003,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_34704]) ).
tcf(c_72004,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_34704]) ).
tcf(c_72005,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38670,c_34704]) ).
tcf(c_72006,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38667,c_34704]) ).
tcf(c_72007,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37340,c_34704]) ).
tcf(c_72008,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37337,c_34704]) ).
tcf(c_72009,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27054,c_34704]) ).
tcf(c_72010,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27013,c_34704]) ).
tcf(c_72011,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24769,c_34704]) ).
tcf(c_72012,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_23845,c_34704]) ).
tcf(c_72013,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22483,c_34704]) ).
tcf(c_72014,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18948,c_34704]) ).
tcf(c_72015,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18103,c_34704]) ).
tcf(c_72016,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_17565,c_34704]) ).
tcf(c_72017,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_34704]) ).
tcf(c_72018,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_34704]) ).
tcf(c_72019,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_34704]) ).
tcf(c_72020,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_34704]) ).
tcf(c_72021,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_34704]) ).
tcf(c_72022,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4190,c_34704]) ).
tcf(c_72023,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_34704]) ).
tcf(c_72024,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3915,c_34704]) ).
tcf(c_72025,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3857,c_34704]) ).
tcf(c_72026,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_34704]) ).
tcf(c_72027,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34704,c_15021]) ).
tcf(c_72028,plain,
( ( identity = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34704,c_639]) ).
tcf(c_72029,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_34704,c_104]) ).
tcf(c_72030,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34704,c_638]) ).
tcf(c_72031,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34704,c_26662]) ).
tcf(c_72032,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34704,c_23079]) ).
tcf(c_72033,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_34704,c_9463]) ).
tcf(c_72034,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_34704,c_9276]) ).
tcf(c_72035,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_34704,c_3928]) ).
tcf(c_72038,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_34704,c_1466]) ).
tcf(c_72039,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34704,c_1399]) ).
tcf(c_72040,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34704,c_1329]) ).
tcf(c_72135,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72004,c_19364]) ).
tcf(c_72139,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72003,c_19364]) ).
tcf(c_72310,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38667,c_34770]) ).
tcf(c_72312,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37337,c_34770]) ).
tcf(c_72313,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27054,c_34770]) ).
tcf(c_72314,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27013,c_34770]) ).
tcf(c_72315,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24769,c_34770]) ).
tcf(c_72316,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_23845,c_34770]) ).
tcf(c_72317,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22483,c_34770]) ).
tcf(c_72318,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18948,c_34770]) ).
tcf(c_72319,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18103,c_34770]) ).
tcf(c_72320,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_17565,c_34770]) ).
tcf(c_72321,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_34770]) ).
tcf(c_72322,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_34770]) ).
tcf(c_72323,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_34770]) ).
tcf(c_72324,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_34770]) ).
tcf(c_72325,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_34770]) ).
tcf(c_72328,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3915,c_34770]) ).
tcf(c_72331,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34770,c_15021]) ).
tcf(c_72332,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34770,c_639]) ).
tcf(c_72333,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_34770,c_104]) ).
tcf(c_72334,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34770,c_638]) ).
tcf(c_72339,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_34770,c_3928]) ).
tcf(c_72509,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_34704]) ).
tcf(c_72517,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_64122]) ).
tcf(c_72518,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72339,c_63287]) ).
tcf(c_72519,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72339,c_63286]) ).
tcf(c_72520,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72339,c_63285]) ).
tcf(c_72527,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72339,c_6005]) ).
tcf(c_72530,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72339,c_38667]) ).
tcf(c_72534,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_37337]) ).
tcf(c_72538,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72339,c_6019]) ).
tcf(c_72539,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72339,c_6018]) ).
tcf(c_72540,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72339,c_6017]) ).
tcf(c_72541,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_26660]) ).
tcf(c_72542,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72339,c_27054]) ).
tcf(c_72543,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_27013]) ).
tcf(c_72544,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_26662]) ).
tcf(c_72545,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_24769]) ).
tcf(c_72546,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_23077]) ).
tcf(c_72547,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_23845]) ).
tcf(c_72548,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_23079]) ).
tcf(c_72549,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_22483]) ).
tcf(c_72553,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72339,c_18948]) ).
tcf(c_72554,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72339,c_18103]) ).
tcf(c_72555,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72339,c_17565]) ).
tcf(c_72556,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_9461]) ).
tcf(c_72557,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_9274]) ).
tcf(c_72558,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,multiply(iPr_def_15,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_72339,c_5599]) ).
tcf(c_72559,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_3925]) ).
tcf(c_72562,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_3926]) ).
tcf(c_72567,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_10662]) ).
tcf(c_72568,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_10510]) ).
tcf(c_72569,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_9463]) ).
tcf(c_72570,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_9276]) ).
tcf(c_72571,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_1464]) ).
tcf(c_72572,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_1463]) ).
tcf(c_72573,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_1397]) ).
tcf(c_72574,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_1396]) ).
tcf(c_72575,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72339,c_1327]) ).
tcf(c_72576,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_1326]) ).
tcf(c_72577,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_3928]) ).
tcf(c_72578,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_4895]) ).
tcf(c_72583,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72339,c_3915]) ).
tcf(c_72586,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_1466]) ).
tcf(c_72587,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_1399]) ).
tcf(c_72588,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_1329]) ).
tcf(c_72589,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_72339,c_5304]) ).
tcf(c_72594,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72577,c_19364]) ).
tcf(c_72641,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72588,c_19364]) ).
tcf(c_72645,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72587,c_19364]) ).
tcf(c_72649,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72586,c_19364]) ).
tcf(c_72653,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72570,c_19364]) ).
tcf(c_72657,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72569,c_19364]) ).
tcf(c_72661,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72548,c_19364]) ).
tcf(c_72665,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72544,c_19364]) ).
tcf(c_72669,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72509,c_19364]) ).
tcf(c_72835,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_23),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_72578,c_63302]) ).
tcf(c_72836,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72578,c_64062]) ).
tcf(c_72837,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63289]) ).
tcf(c_72838,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63288]) ).
tcf(c_72839,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63287]) ).
tcf(c_72840,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63286]) ).
tcf(c_72841,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63285]) ).
tcf(c_72842,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63284]) ).
tcf(c_72843,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63283]) ).
tcf(c_72844,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63282]) ).
tcf(c_72845,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_72578,c_63307]) ).
tcf(c_72846,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c11,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72578,c_63146]) ).
tcf(c_72853,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_72578,c_38674]) ).
tcf(c_72854,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_72578,c_37343]) ).
tcf(c_72859,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72578,c_33178]) ).
tcf(c_72861,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_72578,c_20375]) ).
tcf(c_72865,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(iPr_def_23),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72578,c_20364]) ).
tcf(c_72866,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_72578,c_20361]) ).
tcf(c_72867,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_72578,c_5997]) ).
tcf(c_72868,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72578,c_12073]) ).
tcf(c_72871,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72578,c_10297]) ).
tcf(c_72874,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72578,c_8942]) ).
tcf(c_72880,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72578,c_5551]) ).
tcf(c_72883,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72578,c_2294]) ).
tcf(c_72886,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72578,c_1809]) ).
tcf(c_72889,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72578,c_1499]) ).
tcf(c_72890,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72578,c_1186]) ).
tcf(c_72892,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_72578,c_5985]) ).
tcf(c_72898,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c4,sk_c3) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_72865,c_23243]) ).
tcf(c_72901,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c11,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72846,c_23243]) ).
tcf(c_72923,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c4,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_72861,c_23243]) ).
tcf(c_72926,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72844,c_23243]) ).
tcf(c_72930,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72843,c_23243]) ).
tcf(c_72934,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72842,c_23243]) ).
tcf(c_72938,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72841,c_23243]) ).
tcf(c_72942,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72840,c_23243]) ).
tcf(c_72946,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72839,c_23243]) ).
tcf(c_72950,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72838,c_23243]) ).
tcf(c_72954,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_72837,c_23243]) ).
tcf(c_72958,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c11,multiply(sk_c4,X0)) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_72835,c_23243]) ).
tcf(c_73092,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_72029]) ).
tcf(c_73093,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_69410,c_72029]) ).
tcf(c_73094,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_72029]) ).
tcf(c_73095,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_72029]) ).
tcf(c_73096,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_72029]) ).
tcf(c_73097,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_72029]) ).
tcf(c_73098,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_72029]) ).
tcf(c_73099,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_72029]) ).
tcf(c_73100,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_72029]) ).
tcf(c_73101,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_72029]) ).
tcf(c_73102,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_72029]) ).
tcf(c_73103,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_72029]) ).
tcf(c_73104,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_72029]) ).
tcf(c_73105,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_72029]) ).
tcf(c_73106,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_72029]) ).
tcf(c_73107,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_72029]) ).
tcf(c_73108,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_72029]) ).
tcf(c_73109,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_72029]) ).
tcf(c_73110,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_72029]) ).
tcf(c_73111,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_72029]) ).
tcf(c_73112,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_72029]) ).
tcf(c_73113,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_72029]) ).
tcf(c_73114,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_72029]) ).
tcf(c_73115,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_72029]) ).
tcf(c_73116,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_72029]) ).
tcf(c_73117,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_15021]) ).
tcf(c_73118,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_72029,c_105]) ).
tcf(c_73119,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_6007]) ).
tcf(c_73122,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_6006]) ).
tcf(c_73124,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_6005]) ).
tcf(c_73131,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_6019]) ).
tcf(c_73132,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_6018]) ).
tcf(c_73133,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_6017]) ).
tcf(c_73134,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_72029,c_5599]) ).
tcf(c_73336,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_72333]) ).
tcf(c_73338,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_72333]) ).
tcf(c_73339,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_72333]) ).
tcf(c_73340,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_72333]) ).
tcf(c_73341,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_72333]) ).
tcf(c_73342,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_72333]) ).
tcf(c_73343,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_72333]) ).
tcf(c_73344,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_72333]) ).
tcf(c_73345,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_72333]) ).
tcf(c_73346,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_72333]) ).
tcf(c_73347,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_72333]) ).
tcf(c_73348,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_72333]) ).
tcf(c_73349,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_72333]) ).
tcf(c_73350,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_72333]) ).
tcf(c_73351,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_72333]) ).
tcf(c_73354,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_72333]) ).
tcf(c_73357,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72333,c_15021]) ).
tcf(c_73358,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_72333,c_105]) ).
tcf(c_73364,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72333,c_6005]) ).
tcf(c_73371,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72333,c_6019]) ).
tcf(c_73372,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72333,c_6018]) ).
tcf(c_73373,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72333,c_6017]) ).
tcf(c_73374,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_72333,c_5599]) ).
tcf(c_73621,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,identity) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_1207,c_19828]) ).
tcf(c_73626,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_19828]) ).
tcf(c_73651,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_19828]) ).
tcf(c_73679,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_19828,c_15021]) ).
tcf(c_73680,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_19828,c_105]) ).
tcf(c_73685,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_19828,c_5730]) ).
tcf(c_73712,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_23),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_72583,c_63302]) ).
tcf(c_73713,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_23),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72583,c_64062]) ).
tcf(c_73714,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63289]) ).
tcf(c_73715,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63288]) ).
tcf(c_73716,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63287]) ).
tcf(c_73717,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63286]) ).
tcf(c_73718,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63285]) ).
tcf(c_73719,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63284]) ).
tcf(c_73720,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63283]) ).
tcf(c_73721,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63282]) ).
tcf(c_73722,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,inverse(iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_72583,c_63307]) ).
tcf(c_73723,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c11,inverse(iPr_def_23)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_63146]) ).
tcf(c_73725,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72583,c_62537]) ).
tcf(c_73726,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72583,c_57538]) ).
tcf(c_73727,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72583,c_56276]) ).
tcf(c_73728,plain,
( ( iPr_def_15 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72583,c_56264]) ).
tcf(c_73729,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72583,c_56325]) ).
tcf(c_73730,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_72583,c_38674]) ).
tcf(c_73731,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_72583,c_37343]) ).
tcf(c_73733,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_72583,c_21379]) ).
tcf(c_73736,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72583,c_33178]) ).
tcf(c_73738,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_72583,c_20375]) ).
tcf(c_73739,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72583,c_27210]) ).
tcf(c_73740,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72583,c_24123]) ).
tcf(c_73742,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72583,c_20364]) ).
tcf(c_73743,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_72583,c_20361]) ).
tcf(c_73744,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_23,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_72583,c_5997]) ).
tcf(c_73745,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72583,c_12073]) ).
tcf(c_73748,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72583,c_10297]) ).
tcf(c_73751,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72583,c_8942]) ).
tcf(c_73757,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72583,c_5551]) ).
tcf(c_73760,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72583,c_2294]) ).
tcf(c_73763,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72583,c_1809]) ).
tcf(c_73766,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72583,c_1499]) ).
tcf(c_73767,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72583,c_1186]) ).
tcf(c_73769,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_23) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_72583,c_5985]) ).
tcf(c_73775,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c4,sk_c3) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_73742,c_23243]) ).
tcf(c_73778,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c11,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73723,c_23243]) ).
tcf(c_73818,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c4,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_73738,c_23243]) ).
tcf(c_73821,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73721,c_23243]) ).
tcf(c_73825,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73720,c_23243]) ).
tcf(c_73829,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73719,c_23243]) ).
tcf(c_73833,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73718,c_23243]) ).
tcf(c_73837,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73717,c_23243]) ).
tcf(c_73841,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73716,c_23243]) ).
tcf(c_73845,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73715,c_23243]) ).
tcf(c_73849,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c4) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_73714,c_23243]) ).
tcf(c_73853,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c11,multiply(sk_c4,X0)) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_73712,c_23243]) ).
tcf(c_73964,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_72594,c_63302]) ).
tcf(c_73965,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_72594,c_63146]) ).
tcf(c_73982,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72594,c_50525]) ).
tcf(c_73983,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72594,c_50524]) ).
tcf(c_73984,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72594,c_50389]) ).
tcf(c_73989,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72594,c_32441]) ).
tcf(c_73990,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72594,c_32440]) ).
tcf(c_73991,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72594,c_32438]) ).
tcf(c_73992,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_72594,c_3392]) ).
tcf(c_74005,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c3,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_72594,c_2657]) ).
tcf(c_74031,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_15) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_72594,c_641]) ).
tcf(c_74039,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72594,c_680]) ).
tcf(c_74040,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72594,c_677]) ).
tcf(c_74041,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_72594,c_675]) ).
tcf(c_74047,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_25 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72594,c_650]) ).
tcf(c_74049,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72594,c_647]) ).
tcf(c_74050,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_72594,c_645]) ).
tcf(c_74152,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38670,c_34808]) ).
tcf(c_74153,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_38667,c_34808]) ).
tcf(c_74154,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37340,c_34808]) ).
tcf(c_74155,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_37337,c_34808]) ).
tcf(c_74156,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27054,c_34808]) ).
tcf(c_74157,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27013,c_34808]) ).
tcf(c_74158,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24769,c_34808]) ).
tcf(c_74159,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_23845,c_34808]) ).
tcf(c_74160,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22483,c_34808]) ).
tcf(c_74161,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18948,c_34808]) ).
tcf(c_74162,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18103,c_34808]) ).
tcf(c_74163,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_17565,c_34808]) ).
tcf(c_74164,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_34808]) ).
tcf(c_74165,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_34808]) ).
tcf(c_74166,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_34808]) ).
tcf(c_74167,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_34808]) ).
tcf(c_74168,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4895,c_34808]) ).
tcf(c_74169,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4190,c_34808]) ).
tcf(c_74170,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4066,c_34808]) ).
tcf(c_74171,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3915,c_34808]) ).
tcf(c_74172,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3857,c_34808]) ).
tcf(c_74173,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3788,c_34808]) ).
tcf(c_74174,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_34808,c_15021]) ).
tcf(c_74175,plain,
( ( identity = iPr_def_24 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34808,c_639]) ).
tcf(c_74176,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_34808,c_104]) ).
tcf(c_74177,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_34808,c_638]) ).
tcf(c_74179,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34808,c_23079]) ).
tcf(c_74180,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34808,c_9463]) ).
tcf(c_74181,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_34808,c_9276]) ).
tcf(c_74389,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74179,c_64124]) ).
tcf(c_74390,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74179,c_62369]) ).
tcf(c_74393,plain,
( ( iPr_def_24 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74179,c_58559]) ).
tcf(c_74394,plain,
( ( iPr_def_23 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74179,c_58555]) ).
tcf(c_74395,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74179,c_49676]) ).
tcf(c_74396,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74179,c_49675]) ).
tcf(c_74397,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_15 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74179,c_49673]) ).
tcf(c_74399,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74179,c_37280]) ).
tcf(c_74400,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74179,c_34339]) ).
tcf(c_74401,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74179,c_34338]) ).
tcf(c_74402,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74179,c_33973]) ).
tcf(c_74405,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_28 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74179,c_33478]) ).
tcf(c_74412,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74179,c_20988]) ).
tcf(c_74413,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( inverse(iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_74179,c_16750]) ).
tcf(c_74414,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(X0,iPr_def_24) = X0 ) ),
inference(superposition,[status(thm)],[c_74179,c_16715]) ).
tcf(c_74415,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74179,c_103]) ).
tcf(c_74520,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),sk_c2) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6259,c_15021]) ).
tcf(c_74522,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,sk_c2) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6259,c_32418]) ).
tcf(c_74563,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_74176]) ).
tcf(c_74564,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_69410,c_74176]) ).
tcf(c_74565,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_67617,c_74176]) ).
tcf(c_74566,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38670,c_74176]) ).
tcf(c_74567,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_38667,c_74176]) ).
tcf(c_74568,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37340,c_74176]) ).
tcf(c_74569,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_37337,c_74176]) ).
tcf(c_74570,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_74176]) ).
tcf(c_74571,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_74176]) ).
tcf(c_74572,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_74176]) ).
tcf(c_74573,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_74176]) ).
tcf(c_74574,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_74176]) ).
tcf(c_74575,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_74176]) ).
tcf(c_74576,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_74176]) ).
tcf(c_74577,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_74176]) ).
tcf(c_74578,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_74176]) ).
tcf(c_74579,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_74176]) ).
tcf(c_74580,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_74176]) ).
tcf(c_74581,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_74176]) ).
tcf(c_74582,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4895,c_74176]) ).
tcf(c_74583,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4190,c_74176]) ).
tcf(c_74584,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_4066,c_74176]) ).
tcf(c_74585,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3915,c_74176]) ).
tcf(c_74586,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3857,c_74176]) ).
tcf(c_74587,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_3788,c_74176]) ).
tcf(c_74588,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_15021]) ).
tcf(c_74589,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_74176,c_105]) ).
tcf(c_74590,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_6007]) ).
tcf(c_74593,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_6006]) ).
tcf(c_74595,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_6005]) ).
tcf(c_74602,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_6019]) ).
tcf(c_74603,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_6018]) ).
tcf(c_74604,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_6017]) ).
tcf(c_74605,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_74176,c_5599]) ).
tcf(c_74868,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74415,c_15021]) ).
tcf(c_74869,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_74415,c_105]) ).
tcf(c_74870,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_74415,c_640]) ).
tcf(c_74871,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_24) )
| ( inverse(inverse(iPr_def_24)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_74415,c_638]) ).
tcf(c_74872,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_10
| ( sk_c11 != sk_c10 )
| ( inverse(iPr_def_24) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_74415,c_641]) ).
tcf(c_74873,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_74415,c_639]) ).
tcf(c_74875,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_74415,c_5756]) ).
tcf(c_74876,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74415,c_19924]) ).
tcf(c_74877,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_74415,c_18201]) ).
tcf(c_74878,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c9 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74415,c_17881]) ).
tcf(c_74987,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_74176]) ).
tcf(c_74990,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_72029]) ).
tcf(c_74992,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_34704]) ).
tcf(c_75000,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_64122]) ).
tcf(c_75001,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_74389,c_63287]) ).
tcf(c_75002,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_74389,c_63286]) ).
tcf(c_75003,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_74389,c_63285]) ).
tcf(c_75006,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_35960]) ).
tcf(c_75007,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_35915]) ).
tcf(c_75009,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_35886]) ).
tcf(c_75010,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_6005]) ).
tcf(c_75011,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_34810]) ).
tcf(c_75014,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_34772]) ).
tcf(c_75015,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_34706]) ).
tcf(c_75020,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_32683]) ).
tcf(c_75021,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_6019]) ).
tcf(c_75022,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_6018]) ).
tcf(c_75023,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74389,c_6017]) ).
tcf(c_75024,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_26660]) ).
tcf(c_75025,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74389,c_27054]) ).
tcf(c_75026,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_27013]) ).
tcf(c_75027,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_26662]) ).
tcf(c_75028,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_24769]) ).
tcf(c_75029,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_23077]) ).
tcf(c_75031,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_23079]) ).
tcf(c_75032,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_22483]) ).
tcf(c_75036,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74389,c_18948]) ).
tcf(c_75038,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_74389,c_17565]) ).
tcf(c_75039,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_9461]) ).
tcf(c_75040,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_9274]) ).
tcf(c_75041,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_15,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_74389,c_5599]) ).
tcf(c_75042,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_3925]) ).
tcf(c_75045,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_3926]) ).
tcf(c_75050,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_10662]) ).
tcf(c_75051,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_10510]) ).
tcf(c_75052,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_9463]) ).
tcf(c_75053,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_9276]) ).
tcf(c_75054,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_1464]) ).
tcf(c_75055,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_1463]) ).
tcf(c_75056,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_1397]) ).
tcf(c_75057,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_1396]) ).
tcf(c_75058,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_74389,c_1327]) ).
tcf(c_75059,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_1326]) ).
tcf(c_75060,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_3928]) ).
tcf(c_75062,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_3866]) ).
tcf(c_75063,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_3796]) ).
tcf(c_75069,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_1466]) ).
tcf(c_75070,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_1399]) ).
tcf(c_75071,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_1329]) ).
tcf(c_75072,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_15) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_74389,c_5304]) ).
tcf(c_75097,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75071,c_19364]) ).
tcf(c_75101,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75070,c_19364]) ).
tcf(c_75105,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75069,c_19364]) ).
tcf(c_75111,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75060,c_19364]) ).
tcf(c_75115,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75053,c_19364]) ).
tcf(c_75119,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75052,c_19364]) ).
tcf(c_75123,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75031,c_19364]) ).
tcf(c_75127,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_75027,c_19364]) ).
tcf(c_75131,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_74992,c_19364]) ).
tcf(c_75457,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_75025,c_74415]) ).
tcf(c_75459,plain,
( ( iPr_def_15 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75025,c_58244]) ).
tcf(c_75461,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_40171]) ).
tcf(c_75463,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75025,c_36278]) ).
tcf(c_75464,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75025,c_36208]) ).
tcf(c_75465,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75025,c_36116]) ).
tcf(c_75466,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75025,c_36010]) ).
tcf(c_75467,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75025,c_35204]) ).
tcf(c_75469,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_24105]) ).
tcf(c_75471,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_75025,c_5553]) ).
tcf(c_75473,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_75025,c_24107]) ).
tcf(c_75477,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_75025,c_19958]) ).
tcf(c_75478,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_19935]) ).
tcf(c_75479,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_19924]) ).
tcf(c_75480,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_75025,c_18232]) ).
tcf(c_75481,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_18209]) ).
tcf(c_75482,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_18201]) ).
tcf(c_75483,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_75025,c_17929]) ).
tcf(c_75484,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_17890]) ).
tcf(c_75485,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_17881]) ).
tcf(c_75486,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_22,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_75025,c_5756]) ).
tcf(c_75487,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_12073]) ).
tcf(c_75488,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_10297]) ).
tcf(c_75489,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_8942]) ).
tcf(c_75490,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_5551]) ).
tcf(c_75491,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_2192]) ).
tcf(c_75492,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75025,c_2191]) ).
tcf(c_75493,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_1723]) ).
tcf(c_75494,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75025,c_1722]) ).
tcf(c_75495,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_1451]) ).
tcf(c_75496,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75025,c_1450]) ).
tcf(c_75497,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_1238]) ).
tcf(c_75498,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75025,c_1237]) ).
tcf(c_75499,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75025,c_1149]) ).
tcf(c_75500,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_22) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_75025,c_5741]) ).
tcf(c_75501,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75025,c_1040]) ).
tcf(c_75750,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_75026,c_74415]) ).
tcf(c_75754,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_40171]) ).
tcf(c_75755,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_38005]) ).
tcf(c_75756,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75026,c_36278]) ).
tcf(c_75757,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75026,c_36208]) ).
tcf(c_75758,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75026,c_36116]) ).
tcf(c_75759,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75026,c_36010]) ).
tcf(c_75760,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_75026,c_35204]) ).
tcf(c_75762,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_24105]) ).
tcf(c_75763,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_24085]) ).
tcf(c_75764,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_22,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_75026,c_5553]) ).
tcf(c_75766,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_75026,c_24107]) ).
tcf(c_75767,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_75026,c_24087]) ).
tcf(c_75770,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_75026,c_19958]) ).
tcf(c_75771,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_19935]) ).
tcf(c_75772,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_19924]) ).
tcf(c_75773,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_75026,c_18232]) ).
tcf(c_75774,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_18209]) ).
tcf(c_75775,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_18201]) ).
tcf(c_75776,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_75026,c_17929]) ).
tcf(c_75777,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_17890]) ).
tcf(c_75778,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_17881]) ).
tcf(c_75779,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_22,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_75026,c_5756]) ).
tcf(c_75780,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_12073]) ).
tcf(c_75781,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_10297]) ).
tcf(c_75782,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_8942]) ).
tcf(c_75783,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_5551]) ).
tcf(c_75784,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_2192]) ).
tcf(c_75785,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75026,c_2191]) ).
tcf(c_75786,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_1723]) ).
tcf(c_75787,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75026,c_1722]) ).
tcf(c_75788,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_1451]) ).
tcf(c_75789,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75026,c_1450]) ).
tcf(c_75790,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_1238]) ).
tcf(c_75791,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75026,c_1237]) ).
tcf(c_75792,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_75026,c_1149]) ).
tcf(c_75793,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_22) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_75026,c_5741]) ).
tcf(c_75794,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_75026,c_1040]) ).
tcf(c_76189,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_35884]) ).
tcf(c_76190,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_35884]) ).
tcf(c_76191,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_35884]) ).
tcf(c_76192,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_35884]) ).
tcf(c_76199,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24769,c_35884]) ).
tcf(c_76201,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22483,c_35884]) ).
tcf(c_76202,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18948,c_35884]) ).
tcf(c_76204,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_17565,c_35884]) ).
tcf(c_76205,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_35884]) ).
tcf(c_76206,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_35884]) ).
tcf(c_76207,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_35884]) ).
tcf(c_76208,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_35884]) ).
tcf(c_76215,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_35884,c_15021]) ).
tcf(c_76216,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35884,c_639]) ).
tcf(c_76217,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_35884,c_104]) ).
tcf(c_76218,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35884,c_638]) ).
tcf(c_76221,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_35884,c_9463]) ).
tcf(c_76222,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_35884,c_9276]) ).
tcf(c_76223,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35884,c_3928]) ).
tcf(c_76226,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_35884,c_1466]) ).
tcf(c_76227,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_35884,c_1399]) ).
tcf(c_76228,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35884,c_1329]) ).
tcf(c_76275,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_76190,c_19364]) ).
tcf(c_76279,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_76189,c_19364]) ).
tcf(c_76348,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_76217]) ).
tcf(c_76349,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_76217]) ).
tcf(c_76358,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_24769,c_76217]) ).
tcf(c_76360,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_76217]) ).
tcf(c_76361,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18948,c_76217]) ).
tcf(c_76363,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_76217]) ).
tcf(c_76364,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_76217]) ).
tcf(c_76365,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_76217]) ).
tcf(c_76366,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_76217]) ).
tcf(c_76367,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_76217]) ).
tcf(c_76374,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76217,c_15021]) ).
tcf(c_76375,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_76217,c_105]) ).
tcf(c_76381,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76217,c_6005]) ).
tcf(c_76388,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76217,c_6019]) ).
tcf(c_76389,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76217,c_6018]) ).
tcf(c_76390,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76217,c_6017]) ).
tcf(c_76391,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_76217,c_5599]) ).
tcf(c_76519,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_681,c_23941]) ).
tcf(c_76520,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_678,c_23941]) ).
tcf(c_76523,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_651,c_23941]) ).
tcf(c_76524,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_648,c_23941]) ).
tcf(c_76526,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_23941,c_15021]) ).
tcf(c_76527,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(sk_c10,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_23941,c_105]) ).
tcf(c_76529,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(inverse(sk_c10)) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(X0)) != inverse(sk_c10) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23941,c_638]) ).
tcf(c_76531,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,inverse(sk_c10)) != sk_c11 )
| ( multiply(inverse(sk_c10),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_23941,c_639]) ).
tcf(c_76541,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_23941,c_16715]) ).
tcf(c_76548,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_76526,c_15236]) ).
tcf(c_76641,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_35913]) ).
tcf(c_76642,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_35913]) ).
tcf(c_76643,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_35913]) ).
tcf(c_76644,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_35913]) ).
tcf(c_76653,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22483,c_35913]) ).
tcf(c_76656,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_17565,c_35913]) ).
tcf(c_76657,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_35913]) ).
tcf(c_76658,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_35913]) ).
tcf(c_76659,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_35913]) ).
tcf(c_76660,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_35913]) ).
tcf(c_76667,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_35913,c_15021]) ).
tcf(c_76668,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35913,c_639]) ).
tcf(c_76669,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_35913,c_104]) ).
tcf(c_76670,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35913,c_638]) ).
tcf(c_76673,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_35913,c_9463]) ).
tcf(c_76674,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_35913,c_9276]) ).
tcf(c_76675,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35913,c_3928]) ).
tcf(c_76678,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_35913,c_1466]) ).
tcf(c_76679,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_35913,c_1399]) ).
tcf(c_76680,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35913,c_1329]) ).
tcf(c_76721,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_76642,c_19364]) ).
tcf(c_76725,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_76641,c_19364]) ).
tcf(c_76833,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_35958]) ).
tcf(c_76834,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72339,c_35958]) ).
tcf(c_76835,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_19 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_69410,c_35958]) ).
tcf(c_76836,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_18 = iPr_def_21 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67617,c_35958]) ).
tcf(c_76841,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_27054,c_35958]) ).
tcf(c_76842,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27013,c_35958]) ).
tcf(c_76844,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_23845,c_35958]) ).
tcf(c_76847,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_18103,c_35958]) ).
tcf(c_76849,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12814,c_35958]) ).
tcf(c_76850,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12696,c_35958]) ).
tcf(c_76851,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10662,c_35958]) ).
tcf(c_76852,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10510,c_35958]) ).
tcf(c_76859,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_35958,c_15021]) ).
tcf(c_76860,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_28,iPr_def_28) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35958,c_639]) ).
tcf(c_76861,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,iPr_def_28) = identity ) ),
inference(superposition,[status(thm)],[c_35958,c_104]) ).
tcf(c_76862,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_28) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_28) )
| ( multiply(iPr_def_28,inverse(iPr_def_28)) != sk_c11 )
| ( multiply(inverse(iPr_def_28),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_35958,c_638]) ).
tcf(c_76865,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_35958,c_9463]) ).
tcf(c_76866,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_35958,c_9276]) ).
tcf(c_76867,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_35958,c_3928]) ).
tcf(c_76870,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_35958,c_1466]) ).
tcf(c_76871,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_35958,c_1399]) ).
tcf(c_76872,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_35958,c_1329]) ).
tcf(c_76919,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_76834,c_19364]) ).
tcf(c_76923,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_76833,c_19364]) ).
tcf(c_77002,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,sk_c3) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_36758,c_639]) ).
tcf(c_77004,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_36758,c_638]) ).
tcf(c_77045,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_36857,c_15021]) ).
tcf(c_77046,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_14) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_36857,c_639]) ).
tcf(c_77048,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_36857,c_638]) ).
tcf(c_77049,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_36857,c_36758]) ).
tcf(c_77050,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_36857,c_23245]) ).
tcf(c_77173,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_57538,c_76523]) ).
tcf(c_77174,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_56276,c_76523]) ).
tcf(c_77175,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_56264,c_76523]) ).
tcf(c_77176,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_27210,c_76523]) ).
tcf(c_77177,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_24123,c_76523]) ).
tcf(c_77179,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76523,c_15021]) ).
tcf(c_77180,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(iPr_def_26,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_76523,c_105]) ).
tcf(c_77182,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(inverse(iPr_def_26)) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76523,c_638]) ).
tcf(c_77184,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76523,c_639]) ).
tcf(c_77190,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_76523,c_38674]) ).
tcf(c_77191,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_76523,c_37343]) ).
tcf(c_77192,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_76523,c_21381]) ).
tcf(c_77193,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_76523,c_5997]) ).
tcf(c_77194,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c11) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_76523,c_62536]) ).
tcf(c_77200,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_76523,c_16715]) ).
tcf(c_77201,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_15) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_76523,c_20361]) ).
tcf(c_77202,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,inverse(iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76523,c_63307]) ).
tcf(c_77203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_76523,c_36861]) ).
tcf(c_77204,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_26),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76523,c_64062]) ).
tcf(c_77684,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76524,c_15021]) ).
tcf(c_77685,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(iPr_def_23,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_76524,c_105]) ).
tcf(c_77687,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(iPr_def_14,inverse(X0)) != inverse(iPr_def_23) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76524,c_638]) ).
tcf(c_77689,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,inverse(iPr_def_23)) != sk_c11 )
| ( multiply(inverse(iPr_def_23),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76524,c_639]) ).
tcf(c_77695,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c4) = identity ) ),
inference(superposition,[status(thm)],[c_76524,c_1209]) ).
tcf(c_77696,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76524,c_21898]) ).
tcf(c_77698,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_24) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_76524,c_5741]) ).
tcf(c_77699,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76524,c_2681]) ).
tcf(c_77700,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c10) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_76524,c_36947]) ).
tcf(c_77702,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_24,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_76524,c_5756]) ).
tcf(c_77703,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_76524,c_16715]) ).
tcf(c_77712,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_77696,c_14423]) ).
tcf(c_77723,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,sk_c4) != sk_c11 )
| ( multiply(sk_c4,sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_77689,c_23243]) ).
tcf(c_77728,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( inverse(X0) != iPr_def_23 )
| ( multiply(iPr_def_14,inverse(X0)) != sk_c4 )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_77687,c_631,c_23243]) ).
tcf(c_77787,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_76669]) ).
tcf(c_77788,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_76669]) ).
tcf(c_77799,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_22483,c_76669]) ).
tcf(c_77802,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_17565,c_76669]) ).
tcf(c_77803,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_76669]) ).
tcf(c_77804,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_76669]) ).
tcf(c_77805,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_76669]) ).
tcf(c_77806,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_76669]) ).
tcf(c_77813,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76669,c_15021]) ).
tcf(c_77814,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_76669,c_105]) ).
tcf(c_77820,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76669,c_6005]) ).
tcf(c_77827,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76669,c_6019]) ).
tcf(c_77828,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76669,c_6018]) ).
tcf(c_77829,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76669,c_6017]) ).
tcf(c_77830,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_76669,c_5599]) ).
tcf(c_77957,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_74389,c_76861]) ).
tcf(c_77958,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_72339,c_76861]) ).
tcf(c_77965,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_27054,c_76861]) ).
tcf(c_77966,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_22 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_27013,c_76861]) ).
tcf(c_77968,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_23845,c_76861]) ).
tcf(c_77971,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_18103,c_76861]) ).
tcf(c_77973,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12814,c_76861]) ).
tcf(c_77974,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_12696,c_76861]) ).
tcf(c_77975,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10662,c_76861]) ).
tcf(c_77976,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_14,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_10510,c_76861]) ).
tcf(c_77983,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76861,c_15021]) ).
tcf(c_77984,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(iPr_def_28,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_76861,c_105]) ).
tcf(c_77990,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76861,c_6005]) ).
tcf(c_77997,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76861,c_6019]) ).
tcf(c_77998,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76861,c_6018]) ).
tcf(c_77999,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76861,c_6017]) ).
tcf(c_78000,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_28) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_76861,c_5599]) ).
tcf(c_78187,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_54112]) ).
tcf(c_78190,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_48546]) ).
tcf(c_78192,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_48134]) ).
tcf(c_78198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_34391]) ).
tcf(c_78199,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_34025]) ).
tcf(c_78201,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_14,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_77049,c_20375]) ).
tcf(c_78214,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77049,c_20535]) ).
tcf(c_78215,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_77049,c_20530]) ).
tcf(c_78218,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_77049,c_20364]) ).
tcf(c_78237,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_77049,c_2657]) ).
tcf(c_78243,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_1327]) ).
tcf(c_78244,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_1194]) ).
tcf(c_78245,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_1193]) ).
tcf(c_78246,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77049,c_2682]) ).
tcf(c_78247,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_77049,c_1208]) ).
tcf(c_78348,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77050,c_33178]) ).
tcf(c_78352,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77050,c_21898]) ).
tcf(c_78353,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_77050,c_21893]) ).
tcf(c_78354,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77050,c_12169]) ).
tcf(c_78358,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_77050,c_13590]) ).
tcf(c_78359,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_77050,c_2658]) ).
tcf(c_78360,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77050,c_2294]) ).
tcf(c_78363,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77050,c_2004]) ).
tcf(c_78365,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77050,c_1499]) ).
tcf(c_78366,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77050,c_1186]) ).
tcf(c_78367,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_77050,c_2681]) ).
tcf(c_78368,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_77050,c_1209]) ).
tcf(c_78463,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_72583,c_37341]) ).
tcf(c_78464,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_72578,c_37341]) ).
tcf(c_78466,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56276,c_37341]) ).
tcf(c_78473,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,iPr_def_26) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_37341,c_639]) ).
tcf(c_78475,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_37341,c_638]) ).
tcf(c_78476,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_37341,c_63302]) ).
tcf(c_78477,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_37341,c_64062]) ).
tcf(c_78478,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63289]) ).
tcf(c_78479,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63288]) ).
tcf(c_78480,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63287]) ).
tcf(c_78481,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63286]) ).
tcf(c_78483,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63284]) ).
tcf(c_78484,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63283]) ).
tcf(c_78485,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63282]) ).
tcf(c_78486,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_37341,c_63307]) ).
tcf(c_78487,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_37341,c_63146]) ).
tcf(c_78490,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_37341,c_20375]) ).
tcf(c_78491,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37341,c_20364]) ).
tcf(c_78501,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_78464,c_23243]) ).
tcf(c_78505,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_78463,c_23243]) ).
tcf(c_78534,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_78475,c_63307]) ).
tcf(c_78651,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_72583,c_38672]) ).
tcf(c_78652,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_72578,c_38672]) ).
tcf(c_78654,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_56276,c_38672]) ).
tcf(c_78661,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,iPr_def_26) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38672,c_639]) ).
tcf(c_78663,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_38672,c_638]) ).
tcf(c_78664,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_38672,c_63302]) ).
tcf(c_78665,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_38672,c_64062]) ).
tcf(c_78666,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63289]) ).
tcf(c_78667,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63288]) ).
tcf(c_78668,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63287]) ).
tcf(c_78669,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63286]) ).
tcf(c_78671,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63284]) ).
tcf(c_78672,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63283]) ).
tcf(c_78673,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63282]) ).
tcf(c_78674,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_38672,c_63307]) ).
tcf(c_78675,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_38672,c_63146]) ).
tcf(c_78678,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_38672,c_20375]) ).
tcf(c_78679,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38672,c_20364]) ).
tcf(c_78689,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_78652,c_23243]) ).
tcf(c_78693,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_78651,c_23243]) ).
tcf(c_78722,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(X0,iPr_def_26) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_78663,c_63307]) ).
tcf(c_78811,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1865,c_31742]) ).
tcf(c_78812,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1544,c_31742]) ).
tcf(c_78813,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1289,c_31742]) ).
tcf(c_78814,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_31742]) ).
tcf(c_78816,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1212,c_31742]) ).
tcf(c_78817,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_31742]) ).
tcf(c_78818,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1910,c_31742]) ).
tcf(c_78819,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1908,c_31742]) ).
tcf(c_78820,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1906,c_31742]) ).
tcf(c_78821,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1904,c_31742]) ).
tcf(c_78822,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1977,c_31742]) ).
tcf(c_78823,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1911,c_31742]) ).
tcf(c_78825,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1907,c_31742]) ).
tcf(c_78826,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1905,c_31742]) ).
tcf(c_78828,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5628,c_31742]) ).
tcf(c_78830,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5624,c_31742]) ).
tcf(c_78831,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5622,c_31742]) ).
tcf(c_78832,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5620,c_31742]) ).
tcf(c_78833,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11116,c_31742]) ).
tcf(c_78834,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9784,c_31742]) ).
tcf(c_78835,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8348,c_31742]) ).
tcf(c_78836,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7137,c_31742]) ).
tcf(c_78837,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_31742]) ).
tcf(c_78838,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9785,c_31742]) ).
tcf(c_78839,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8349,c_31742]) ).
tcf(c_78840,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7138,c_31742]) ).
tcf(c_78842,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31742,c_15021]) ).
tcf(c_78843,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_31742,c_105]) ).
tcf(c_78844,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_31742,c_5694]) ).
tcf(c_79070,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1544,c_31773]) ).
tcf(c_79074,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1212,c_31773]) ).
tcf(c_79075,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_31773]) ).
tcf(c_79076,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1910,c_31773]) ).
tcf(c_79077,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1908,c_31773]) ).
tcf(c_79078,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1906,c_31773]) ).
tcf(c_79084,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1905,c_31773]) ).
tcf(c_79089,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5622,c_31773]) ).
tcf(c_79092,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9784,c_31773]) ).
tcf(c_79096,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9785,c_31773]) ).
tcf(c_79100,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31773,c_15021]) ).
tcf(c_79101,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_31773,c_105]) ).
tcf(c_79102,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_31773,c_5694]) ).
tcf(c_79131,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1289,c_31814]) ).
tcf(c_79132,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_31814]) ).
tcf(c_79134,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1212,c_31814]) ).
tcf(c_79135,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_31814]) ).
tcf(c_79136,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1910,c_31814]) ).
tcf(c_79137,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1908,c_31814]) ).
tcf(c_79141,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1911,c_31814]) ).
tcf(c_79143,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1907,c_31814]) ).
tcf(c_79146,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5628,c_31814]) ).
tcf(c_79148,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5624,c_31814]) ).
tcf(c_79153,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8348,c_31814]) ).
tcf(c_79154,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7137,c_31814]) ).
tcf(c_79157,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8349,c_31814]) ).
tcf(c_79158,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7138,c_31814]) ).
tcf(c_79160,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31814,c_15021]) ).
tcf(c_79161,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_31814,c_105]) ).
tcf(c_79162,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_31814,c_5694]) ).
tcf(c_79306,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_41057,c_15021]) ).
tcf(c_79307,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,iPr_def_20) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_41057,c_639]) ).
tcf(c_79309,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_41057,c_638]) ).
tcf(c_79310,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_41057,c_20609]) ).
tcf(c_79349,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79310,c_57198]) ).
tcf(c_79350,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79310,c_54112]) ).
tcf(c_79353,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79310,c_48546]) ).
tcf(c_79355,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79310,c_48134]) ).
tcf(c_79359,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_79310,c_41738]) ).
tcf(c_79361,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79310,c_34391]) ).
tcf(c_79364,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_79310,c_20375]) ).
tcf(c_79377,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_79310,c_20535]) ).
tcf(c_79378,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_79310,c_20530]) ).
tcf(c_79381,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79310,c_20364]) ).
tcf(c_79400,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_79310,c_2657]) ).
tcf(c_79408,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79310,c_1193]) ).
tcf(c_79409,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_79310,c_2682]) ).
tcf(c_79410,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_79310,c_1208]) ).
tcf(c_79513,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_79359,c_63302]) ).
tcf(c_79514,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_79359,c_63146]) ).
tcf(c_79515,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79359,c_62536]) ).
tcf(c_79517,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79359,c_55706]) ).
tcf(c_79519,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79359,c_48357]) ).
tcf(c_79524,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79359,c_47885]) ).
tcf(c_79525,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79359,c_41587]) ).
tcf(c_79533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_20 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79359,c_3392]) ).
tcf(c_79544,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_79359,c_19119]) ).
tcf(c_79545,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_79359,c_19114]) ).
tcf(c_79546,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_79359,c_2657]) ).
tcf(c_79560,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_79359,c_2683]) ).
tcf(c_79570,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_79359,c_641]) ).
tcf(c_79571,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_79359,c_1078]) ).
tcf(c_79572,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_79359,c_1065]) ).
tcf(c_79573,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_79359,c_1064]) ).
tcf(c_79574,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_79359,c_1027]) ).
tcf(c_79575,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_79359,c_1019]) ).
tcf(c_79577,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_20 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79359,c_637]) ).
tcf(c_79583,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_79359,c_1207]) ).
tcf(c_79666,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_25) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_47346,c_639]) ).
tcf(c_79668,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_47346,c_638]) ).
tcf(c_79707,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),sk_c2) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6278,c_15021]) ).
tcf(c_79709,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,sk_c2) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6278,c_32418]) ).
tcf(c_79719,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_31834]) ).
tcf(c_79720,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1157,c_31834]) ).
tcf(c_79721,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1212,c_31834]) ).
tcf(c_79722,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_31834]) ).
tcf(c_79723,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1910,c_31834]) ).
tcf(c_79728,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1911,c_31834]) ).
tcf(c_79729,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1909,c_31834]) ).
tcf(c_79733,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5628,c_31834]) ).
tcf(c_79734,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5626,c_31834]) ).
tcf(c_79741,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7137,c_31834]) ).
tcf(c_79745,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7138,c_31834]) ).
tcf(c_79747,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31834,c_15021]) ).
tcf(c_79748,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_31834,c_105]) ).
tcf(c_79749,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_31834,c_5694]) ).
tcf(c_79790,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_31854]) ).
tcf(c_79792,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1212,c_31854]) ).
tcf(c_79793,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_31854]) ).
tcf(c_79799,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1911,c_31854]) ).
tcf(c_79804,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_5628,c_31854]) ).
tcf(c_79812,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7137,c_31854]) ).
tcf(c_79816,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_20) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7138,c_31854]) ).
tcf(c_79818,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_31854,c_15021]) ).
tcf(c_79819,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_31854,c_105]) ).
tcf(c_79820,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_31854,c_5694]) ).
tcf(c_79855,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,iPr_def_25) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_47347,c_639]) ).
tcf(c_79857,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_47347,c_638]) ).
tcf(c_79883,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_49974,c_639]) ).
tcf(c_79885,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_49974,c_638]) ).
tcf(c_79911,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_49975,c_639]) ).
tcf(c_79913,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_49975,c_638]) ).
tcf(c_79942,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,sk_c4) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50672,c_639]) ).
tcf(c_79944,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_50672,c_638]) ).
tcf(c_79947,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_50672,c_41057]) ).
tcf(c_79981,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(sk_c11,X0))) = X0,
inference(superposition,[status(thm)],[c_20702,c_15079]) ).
tcf(c_79983,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_23268,c_15079]) ).
tcf(c_79985,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_26218,c_15079]) ).
tcf(c_79987,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_628,c_15079]) ).
tcf(c_79988,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_29283,c_15079]) ).
tcf(c_79990,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c10,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_622,c_15079]) ).
tcf(c_79991,plain,
! [X0: $i] : multiply(inverse(iPr_def_28),multiply(sk_c1,multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_32945,c_15079]) ).
tcf(c_79993,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_625,c_15079]) ).
tcf(c_79994,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(identity,multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_103,c_15079]) ).
tcf(c_79995,plain,
! [X0: $i,X1: $i] : multiply(inverse(identity),multiply(inverse(X0),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_104,c_15079]) ).
tcf(c_79996,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(multiply(X0,X1),multiply(X2,X3))) = X3,
inference(superposition,[status(thm)],[c_105,c_15079]) ).
tcf(c_79997,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c11,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_47885,c_15079]) ).
tcf(c_79998,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c11,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_52537,c_15079]) ).
tcf(c_79999,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_23,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_33821,c_15079]) ).
tcf(c_80000,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_23,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2153,c_15079]) ).
tcf(c_80001,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_23,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1711,c_15079]) ).
tcf(c_80002,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_23,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1430,c_15079]) ).
tcf(c_80003,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_23,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1039,c_15079]) ).
tcf(c_80004,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2192,c_15079]) ).
tcf(c_80005,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1723,c_15079]) ).
tcf(c_80006,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1451,c_15079]) ).
tcf(c_80007,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1238,c_15079]) ).
tcf(c_80008,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c10,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1040,c_15079]) ).
tcf(c_80009,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_33180,c_15079]) ).
tcf(c_80010,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2296,c_15079]) ).
tcf(c_80011,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1811,c_15079]) ).
tcf(c_80012,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1501,c_15079]) ).
tcf(c_80013,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1077,c_15079]) ).
tcf(c_80014,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2056,c_15079]) ).
tcf(c_80015,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1635,c_15079]) ).
tcf(c_80016,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1378,c_15079]) ).
tcf(c_80017,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1137,c_15079]) ).
tcf(c_80018,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1135,c_15079]) ).
tcf(c_80019,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1866,c_15079]) ).
tcf(c_80020,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1545,c_15079]) ).
tcf(c_80021,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1290,c_15079]) ).
tcf(c_80022,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1138,c_15079]) ).
tcf(c_80023,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_16),multiply(sk_c7,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1136,c_15079]) ).
tcf(c_80024,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26985,c_15079]) ).
tcf(c_80025,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3355,c_15079]) ).
tcf(c_80026,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3327,c_15079]) ).
tcf(c_80027,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1258,c_15079]) ).
tcf(c_80028,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1248,c_15079]) ).
tcf(c_80029,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1228,c_15079]) ).
tcf(c_80030,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1148,c_15079]) ).
tcf(c_80031,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_27,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1147,c_15079]) ).
tcf(c_80032,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2191,c_15079]) ).
tcf(c_80033,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1722,c_15079]) ).
tcf(c_80034,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1450,c_15079]) ).
tcf(c_80035,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1237,c_15079]) ).
tcf(c_80036,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1149,c_15079]) ).
tcf(c_80037,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2055,c_15079]) ).
tcf(c_80038,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1634,c_15079]) ).
tcf(c_80039,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1377,c_15079]) ).
tcf(c_80040,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1158,c_15079]) ).
tcf(c_80041,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1156,c_15079]) ).
tcf(c_80042,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1865,c_15079]) ).
tcf(c_80043,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1544,c_15079]) ).
tcf(c_80044,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1289,c_15079]) ).
tcf(c_80045,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1159,c_15079]) ).
tcf(c_80046,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1157,c_15079]) ).
tcf(c_80047,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_33179,c_15079]) ).
tcf(c_80048,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2295,c_15079]) ).
tcf(c_80049,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1810,c_15079]) ).
tcf(c_80050,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1500,c_15079]) ).
tcf(c_80051,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1160,c_15079]) ).
tcf(c_80052,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_33819,c_15079]) ).
tcf(c_80053,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2151,c_15079]) ).
tcf(c_80054,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1709,c_15079]) ).
tcf(c_80055,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1428,c_15079]) ).
tcf(c_80056,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1161,c_15079]) ).
tcf(c_80057,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c5,multiply(iPr_def_21,X0))) = X0,
inference(superposition,[status(thm)],[c_26094,c_15079]) ).
tcf(c_80058,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1864,c_15079]) ).
tcf(c_80059,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1543,c_15079]) ).
tcf(c_80060,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1288,c_15079]) ).
tcf(c_80061,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1177,c_15079]) ).
tcf(c_80062,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c5,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1175,c_15079]) ).
tcf(c_80063,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_33178,c_15079]) ).
tcf(c_80064,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2294,c_15079]) ).
tcf(c_80065,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1809,c_15079]) ).
tcf(c_80066,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1499,c_15079]) ).
tcf(c_80067,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1186,c_15079]) ).
tcf(c_80068,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c4,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_21893,c_15079]) ).
tcf(c_80069,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c3,multiply(iPr_def_25,X0))) = X0,
inference(superposition,[status(thm)],[c_20530,c_15079]) ).
tcf(c_80070,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_48546,c_15079]) ).
tcf(c_80071,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34391,c_15079]) ).
tcf(c_80072,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1665,c_15079]) ).
tcf(c_80073,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1193,c_15079]) ).
tcf(c_80074,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34025,c_15079]) ).
tcf(c_80075,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1595,c_15079]) ).
tcf(c_80076,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1194,c_15079]) ).
tcf(c_80077,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c1,multiply(iPr_def_27,X0))) = X0,
inference(superposition,[status(thm)],[c_32413,c_15079]) ).
tcf(c_80078,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_15,multiply(sk_c11,X0))) = X0,
inference(superposition,[status(thm)],[c_1207,c_15079]) ).
tcf(c_80079,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_25,multiply(sk_c3,X0))) = X0,
inference(superposition,[status(thm)],[c_1208,c_15079]) ).
tcf(c_80080,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_23,multiply(sk_c4,X0))) = X0,
inference(superposition,[status(thm)],[c_1209,c_15079]) ).
tcf(c_80081,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_21,multiply(sk_c5,X0))) = X0,
inference(superposition,[status(thm)],[c_1210,c_15079]) ).
tcf(c_80082,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_19,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_1211,c_15079]) ).
tcf(c_80083,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_18,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_1212,c_15079]) ).
tcf(c_80084,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_27,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_1213,c_15079]) ).
tcf(c_80085,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_26)),multiply(iPr_def_15,multiply(iPr_def_25,X0))) = X0,
inference(superposition,[status(thm)],[c_63130,c_15079]) ).
tcf(c_80086,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1664,c_15079]) ).
tcf(c_80087,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1215,c_15079]) ).
tcf(c_80088,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1594,c_15079]) ).
tcf(c_80089,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_20,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1216,c_15079]) ).
tcf(c_80090,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3925,c_15079]) ).
tcf(c_80091,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3863,c_15079]) ).
tcf(c_80092,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3793,c_15079]) ).
tcf(c_80093,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1463,c_15079]) ).
tcf(c_80094,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1396,c_15079]) ).
tcf(c_80095,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1326,c_15079]) ).
tcf(c_80096,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26660,c_15079]) ).
tcf(c_80097,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23077,c_15079]) ).
tcf(c_80098,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9461,c_15079]) ).
tcf(c_80099,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9274,c_15079]) ).
tcf(c_80100,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3926,c_15079]) ).
tcf(c_80101,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3864,c_15079]) ).
tcf(c_80102,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3794,c_15079]) ).
tcf(c_80103,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1464,c_15079]) ).
tcf(c_80104,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1397,c_15079]) ).
tcf(c_80105,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1327,c_15079]) ).
tcf(c_80106,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c10,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23941,c_15079]) ).
tcf(c_80107,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_23,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_76524,c_15079]) ).
tcf(c_80108,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_23,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_55706,c_15079]) ).
tcf(c_80109,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_26,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_76523,c_15079]) ).
tcf(c_80110,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_26,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_38674,c_15079]) ).
tcf(c_80111,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_26,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_37343,c_15079]) ).
tcf(c_80112,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_26,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_21381,c_15079]) ).
tcf(c_80113,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_26,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_62536,c_15079]) ).
tcf(c_80114,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1912,c_15079]) ).
tcf(c_80115,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1910,c_15079]) ).
tcf(c_80116,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1908,c_15079]) ).
tcf(c_80117,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1906,c_15079]) ).
tcf(c_80118,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1904,c_15079]) ).
tcf(c_80119,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1977,c_15079]) ).
tcf(c_80120,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1911,c_15079]) ).
tcf(c_80121,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1909,c_15079]) ).
tcf(c_80122,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1907,c_15079]) ).
tcf(c_80123,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_1905,c_15079]) ).
tcf(c_80124,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_35071,c_15079]) ).
tcf(c_80125,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34907,c_15079]) ).
tcf(c_80126,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26393,c_15079]) ).
tcf(c_80127,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_22603,c_15079]) ).
tcf(c_80128,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_12169,c_15079]) ).
tcf(c_80129,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5254,c_15079]) ).
tcf(c_80130,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5143,c_15079]) ).
tcf(c_80131,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5022,c_15079]) ).
tcf(c_80132,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2216,c_15079]) ).
tcf(c_80133,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2081,c_15079]) ).
tcf(c_80134,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2004,c_15079]) ).
tcf(c_80135,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_35072,c_15079]) ).
tcf(c_80136,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34908,c_15079]) ).
tcf(c_80137,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26394,c_15079]) ).
tcf(c_80138,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_22604,c_15079]) ).
tcf(c_80139,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_12170,c_15079]) ).
tcf(c_80140,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5255,c_15079]) ).
tcf(c_80141,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5144,c_15079]) ).
tcf(c_80142,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5023,c_15079]) ).
tcf(c_80143,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2217,c_15079]) ).
tcf(c_80144,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2082,c_15079]) ).
tcf(c_80145,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2005,c_15079]) ).
tcf(c_80146,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_35074,c_15079]) ).
tcf(c_80147,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_34910,c_15079]) ).
tcf(c_80148,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26396,c_15079]) ).
tcf(c_80149,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_22606,c_15079]) ).
tcf(c_80150,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_12172,c_15079]) ).
tcf(c_80151,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5257,c_15079]) ).
tcf(c_80152,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5146,c_15079]) ).
tcf(c_80153,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5025,c_15079]) ).
tcf(c_80154,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2219,c_15079]) ).
tcf(c_80155,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2084,c_15079]) ).
tcf(c_80156,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_15,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2007,c_15079]) ).
tcf(c_80157,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_23,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_5741,c_15079]) ).
tcf(c_80158,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_12073,c_15079]) ).
tcf(c_80159,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_10297,c_15079]) ).
tcf(c_80160,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8942,c_15079]) ).
tcf(c_80161,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_5551,c_15079]) ).
tcf(c_80162,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c11,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_19114,c_15079]) ).
tcf(c_80163,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3248,c_15079]) ).
tcf(c_80164,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3167,c_15079]) ).
tcf(c_80165,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3049,c_15079]) ).
tcf(c_80166,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2934,c_15079]) ).
tcf(c_80167,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2822,c_15079]) ).
tcf(c_80168,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2605,c_15079]) ).
tcf(c_80169,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26890,c_15079]) ).
tcf(c_80170,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_23205,c_15079]) ).
tcf(c_80171,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_21024,c_15079]) ).
tcf(c_80172,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_12838,c_15079]) ).
tcf(c_80173,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_12719,c_15079]) ).
tcf(c_80174,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3249,c_15079]) ).
tcf(c_80175,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3168,c_15079]) ).
tcf(c_80176,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_3050,c_15079]) ).
tcf(c_80177,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2935,c_15079]) ).
tcf(c_80178,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2823,c_15079]) ).
tcf(c_80179,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_2606,c_15079]) ).
tcf(c_80180,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_26,X0)),multiply(sk_c3,multiply(multiply(sk_c11,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2657,c_15079]) ).
tcf(c_80181,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_74415,c_15079]) ).
tcf(c_80182,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_24127,c_15079]) ).
tcf(c_80183,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_24107,c_15079]) ).
tcf(c_80184,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_24,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_24087,c_15079]) ).
tcf(c_80185,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(sk_c4,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2658,c_15079]) ).
tcf(c_80186,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_64389,c_15079]) ).
tcf(c_80187,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_27213,c_15079]) ).
tcf(c_80188,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_27059,c_15079]) ).
tcf(c_80189,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_27017,c_15079]) ).
tcf(c_80190,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_22,X0)),multiply(sk_c5,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2659,c_15079]) ).
tcf(c_80191,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(sk_c8,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2660,c_15079]) ).
tcf(c_80192,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_16,X0)),multiply(sk_c7,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2661,c_15079]) ).
tcf(c_80193,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c10,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2662,c_15079]) ).
tcf(c_80194,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35960,c_15079]) ).
tcf(c_80195,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35915,c_15079]) ).
tcf(c_80196,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_35886,c_15079]) ).
tcf(c_80197,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_34810,c_15079]) ).
tcf(c_80198,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_34772,c_15079]) ).
tcf(c_80199,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_34706,c_15079]) ).
tcf(c_80200,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_32875,c_15079]) ).
tcf(c_80201,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_32821,c_15079]) ).
tcf(c_80202,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_32683,c_15079]) ).
tcf(c_80203,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_28,X0)),multiply(sk_c1,multiply(multiply(sk_c2,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2663,c_15079]) ).
tcf(c_80204,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_17,X0)),multiply(sk_c2,multiply(multiply(sk_c9,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2664,c_15079]) ).
tcf(c_80205,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(multiply(X1,X0),X2))) = X2,
inference(superposition,[status(thm)],[c_15021,c_15079]) ).
tcf(c_80206,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(sk_c11,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2683,c_15079]) ).
tcf(c_80207,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(sk_c3,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2682,c_15079]) ).
tcf(c_80208,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_23,multiply(multiply(sk_c4,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2681,c_15079]) ).
tcf(c_80209,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_21,multiply(multiply(sk_c5,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2680,c_15079]) ).
tcf(c_80210,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_19,multiply(multiply(sk_c7,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2679,c_15079]) ).
tcf(c_80211,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(sk_c6,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2678,c_15079]) ).
tcf(c_80212,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_27,multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_2677,c_15079]) ).
tcf(c_80213,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_22,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_41587,c_15079]) ).
tcf(c_80214,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0,
inference(superposition,[status(thm)],[c_29159,c_15079]) ).
tcf(c_80215,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c6,multiply(iPr_def_18,X0))) = X0,
inference(superposition,[status(thm)],[c_31579,c_15079]) ).
tcf(c_80216,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_23,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_36947,c_15079]) ).
tcf(c_80217,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_52106,c_15079]) ).
tcf(c_80218,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_50763,c_15079]) ).
tcf(c_80219,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4912,c_15079]) ).
tcf(c_80220,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4660,c_15079]) ).
tcf(c_80221,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4485,c_15079]) ).
tcf(c_80222,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4353,c_15079]) ).
tcf(c_80223,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4206,c_15079]) ).
tcf(c_80224,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4081,c_15079]) ).
tcf(c_80225,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_57198,c_15079]) ).
tcf(c_80226,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_26519,c_15079]) ).
tcf(c_80227,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_22802,c_15079]) ).
tcf(c_80228,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_20824,c_15079]) ).
tcf(c_80229,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_10686,c_15079]) ).
tcf(c_80230,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_10533,c_15079]) ).
tcf(c_80231,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4913,c_15079]) ).
tcf(c_80232,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4661,c_15079]) ).
tcf(c_80233,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4486,c_15079]) ).
tcf(c_80234,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4354,c_15079]) ).
tcf(c_80235,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4207,c_15079]) ).
tcf(c_80236,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_4082,c_15079]) ).
tcf(c_80237,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_23,multiply(multiply(sk_c9,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_4296,c_15079]) ).
tcf(c_80238,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_27,multiply(iPr_def_28,X0))) = X0,
inference(superposition,[status(thm)],[c_5304,c_15079]) ).
tcf(c_80239,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19176,c_15079]) ).
tcf(c_80240,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19170,c_15079]) ).
tcf(c_80241,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19177,c_15079]) ).
tcf(c_80242,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_20,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19171,c_15079]) ).
tcf(c_80243,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_31667,c_15079]) ).
tcf(c_80244,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_31665,c_15079]) ).
tcf(c_80245,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_31663,c_15079]) ).
tcf(c_80246,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_31661,c_15079]) ).
tcf(c_80247,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_31659,c_15079]) ).
tcf(c_80248,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19175,c_15079]) ).
tcf(c_80249,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_25,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19169,c_15079]) ).
tcf(c_80250,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c10,multiply(multiply(iPr_def_24,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5553,c_15079]) ).
tcf(c_80251,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c2,X0)),multiply(iPr_def_27,multiply(multiply(iPr_def_28,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5599,c_15079]) ).
tcf(c_80252,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5628,c_15079]) ).
tcf(c_80253,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5626,c_15079]) ).
tcf(c_80254,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5624,c_15079]) ).
tcf(c_80255,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5622,c_15079]) ).
tcf(c_80256,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5620,c_15079]) ).
tcf(c_80257,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5629,c_15079]) ).
tcf(c_80258,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5627,c_15079]) ).
tcf(c_80259,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5625,c_15079]) ).
tcf(c_80260,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5623,c_15079]) ).
tcf(c_80261,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_18,multiply(multiply(iPr_def_16,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5621,c_15079]) ).
tcf(c_80262,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_19,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_5677,c_15079]) ).
tcf(c_80263,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_19,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5694,c_15079]) ).
tcf(c_80264,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_21,multiply(iPr_def_22,X0))) = X0,
inference(superposition,[status(thm)],[c_5696,c_15079]) ).
tcf(c_80265,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_21,multiply(multiply(iPr_def_22,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5730,c_15079]) ).
tcf(c_80266,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(iPr_def_23,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5756,c_15079]) ).
tcf(c_80267,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19174,c_15079]) ).
tcf(c_80268,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19173,c_15079]) ).
tcf(c_80269,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19172,c_15079]) ).
tcf(c_80270,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_26,multiply(multiply(sk_c9,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5968,c_15079]) ).
tcf(c_80271,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_25,multiply(iPr_def_26,X0))) = X0,
inference(superposition,[status(thm)],[c_5985,c_15079]) ).
tcf(c_80272,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c11,X0)),multiply(iPr_def_25,multiply(multiply(iPr_def_26,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_5997,c_15079]) ).
tcf(c_80273,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6004,c_15079]) ).
tcf(c_80274,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6003,c_15079]) ).
tcf(c_80275,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6002,c_15079]) ).
tcf(c_80276,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6001,c_15079]) ).
tcf(c_80277,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6000,c_15079]) ).
tcf(c_80278,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_14,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_5999,c_15079]) ).
tcf(c_80279,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6007,c_15079]) ).
tcf(c_80280,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6006,c_15079]) ).
tcf(c_80281,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6005,c_15079]) ).
tcf(c_80282,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6019,c_15079]) ).
tcf(c_80283,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6018,c_15079]) ).
tcf(c_80284,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_28,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6017,c_15079]) ).
tcf(c_80285,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6013,c_15079]) ).
tcf(c_80286,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6012,c_15079]) ).
tcf(c_80287,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6011,c_15079]) ).
tcf(c_80288,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6010,c_15079]) ).
tcf(c_80289,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6009,c_15079]) ).
tcf(c_80290,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6008,c_15079]) ).
tcf(c_80291,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_22,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6021,c_15079]) ).
tcf(c_80292,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_22,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6015,c_15079]) ).
tcf(c_80293,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_20,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6022,c_15079]) ).
tcf(c_80294,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(iPr_def_20,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6016,c_15079]) ).
tcf(c_80295,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_25,multiply(sk_c11,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_48357,c_15079]) ).
tcf(c_80296,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_27,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6278,c_15079]) ).
tcf(c_80297,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_27,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6259,c_15079]) ).
tcf(c_80298,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_27,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6240,c_15079]) ).
tcf(c_80299,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_11600,c_15079]) ).
tcf(c_80300,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9975,c_15079]) ).
tcf(c_80301,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8576,c_15079]) ).
tcf(c_80302,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7083,c_15079]) ).
tcf(c_80303,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_11602,c_15079]) ).
tcf(c_80304,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9976,c_15079]) ).
tcf(c_80305,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8577,c_15079]) ).
tcf(c_80306,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7084,c_15079]) ).
tcf(c_80307,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_11116,c_15079]) ).
tcf(c_80308,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9784,c_15079]) ).
tcf(c_80309,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8348,c_15079]) ).
tcf(c_80310,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7137,c_15079]) ).
tcf(c_80311,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_11118,c_15079]) ).
tcf(c_80312,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9785,c_15079]) ).
tcf(c_80313,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_8349,c_15079]) ).
tcf(c_80314,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_18,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_7138,c_15079]) ).
tcf(c_80315,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c5,multiply(multiply(iPr_def_21,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_26099,c_15079]) ).
tcf(c_80316,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c4,multiply(multiply(iPr_def_23,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_21898,c_15079]) ).
tcf(c_80317,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c3,multiply(multiply(iPr_def_25,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_20535,c_15079]) ).
tcf(c_80318,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c1,multiply(multiply(iPr_def_27,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_32418,c_15079]) ).
tcf(c_80319,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(iPr_def_21,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14218,c_15079]) ).
tcf(c_80320,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(iPr_def_21,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14216,c_15079]) ).
tcf(c_80321,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(iPr_def_21,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14214,c_15079]) ).
tcf(c_80322,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(iPr_def_21,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14212,c_15079]) ).
tcf(c_80323,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(iPr_def_21,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14210,c_15079]) ).
tcf(c_80324,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,sk_c9)),multiply(sk_c4,multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_13590,c_15079]) ).
tcf(c_80325,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(sk_c8,multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_14102,c_15079]) ).
tcf(c_80326,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_14,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_12610,c_15079]) ).
tcf(c_80327,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_14,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_10432,c_15079]) ).
tcf(c_80328,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_14,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_9116,c_15079]) ).
tcf(c_80329,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19924,c_15079]) ).
tcf(c_80330,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_18201,c_15079]) ).
tcf(c_80331,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_17881,c_15079]) ).
tcf(c_80332,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_40216,c_15079]) ).
tcf(c_80333,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_40171,c_15079]) ).
tcf(c_80334,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_38005,c_15079]) ).
tcf(c_80335,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19935,c_15079]) ).
tcf(c_80336,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_18209,c_15079]) ).
tcf(c_80337,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_17890,c_15079]) ).
tcf(c_80338,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c10)),multiply(sk_c5,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_13757,c_15079]) ).
tcf(c_80339,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14219,c_15079]) ).
tcf(c_80340,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14217,c_15079]) ).
tcf(c_80341,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14215,c_15079]) ).
tcf(c_80342,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14213,c_15079]) ).
tcf(c_80343,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_14211,c_15079]) ).
tcf(c_80344,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19947,c_15079]) ).
tcf(c_80345,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_18224,c_15079]) ).
tcf(c_80346,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_17920,c_15079]) ).
tcf(c_80347,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_36278,c_15079]) ).
tcf(c_80348,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_36208,c_15079]) ).
tcf(c_80349,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_36116,c_15079]) ).
tcf(c_80350,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_36010,c_15079]) ).
tcf(c_80351,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_14)),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_35204,c_15079]) ).
tcf(c_80352,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_19958,c_15079]) ).
tcf(c_80353,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_18232,c_15079]) ).
tcf(c_80354,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_20,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_17929,c_15079]) ).
tcf(c_80355,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c10)),multiply(sk_c7,multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_14243,c_15079]) ).
tcf(c_80356,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,sk_c9)),multiply(sk_c1,multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_14472,c_15079]) ).
tcf(c_80357,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(inverse(sk_c8),multiply(iPr_def_20,X0))) = X0,
inference(superposition,[status(thm)],[c_15072,c_15079]) ).
tcf(c_80358,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(inverse(sk_c10),multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_15074,c_15079]) ).
tcf(c_80359,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(inverse(sk_c2),multiply(iPr_def_17,X0))) = X0,
inference(superposition,[status(thm)],[c_15076,c_15079]) ).
tcf(c_80361,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,multiply(identity,X1))) = X1,
inference(superposition,[status(thm)],[c_16715,c_15079]) ).
tcf(c_80362,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c11,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_19119,c_15079]) ).
tcf(c_80363,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_26,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_20361,c_15079]) ).
tcf(c_80364,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19812,c_15079]) ).
tcf(c_80365,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_25,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19391,c_15079]) ).
tcf(c_80366,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19828,c_15079]) ).
tcf(c_80367,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_22,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19426,c_15079]) ).
tcf(c_80368,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19453,c_15079]) ).
tcf(c_80369,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_20,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_20006,c_15079]) ).
tcf(c_80370,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19682,c_15079]) ).
tcf(c_80371,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19592,c_15079]) ).
tcf(c_80372,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(X0),multiply(iPr_def_28,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_19481,c_15079]) ).
tcf(c_80373,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(inverse(iPr_def_26),multiply(sk_c3,X0))) = X0,
inference(superposition,[status(thm)],[c_20364,c_15079]) ).
tcf(c_80374,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(inverse(iPr_def_26),multiply(multiply(sk_c3,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_20375,c_15079]) ).
tcf(c_80375,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c3,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_52413,c_15079]) ).
tcf(c_80376,plain,
! [X0: $i] : multiply(inverse(identity),multiply(iPr_def_26,multiply(inverse(iPr_def_26),X0))) = X0,
inference(superposition,[status(thm)],[c_63307,c_15079]) ).
tcf(c_80377,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_41060,c_15079]) ).
tcf(c_80378,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_40958,c_15079]) ).
tcf(c_80379,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_40891,c_15079]) ).
tcf(c_80380,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c7,multiply(multiply(iPr_def_19,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_29164,c_15079]) ).
tcf(c_80381,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c6,multiply(multiply(iPr_def_18,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_31584,c_15079]) ).
tcf(c_80382,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_31854,c_15079]) ).
tcf(c_80383,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_31834,c_15079]) ).
tcf(c_80384,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_31814,c_15079]) ).
tcf(c_80385,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_31773,c_15079]) ).
tcf(c_80386,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_31742,c_15079]) ).
tcf(c_80387,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_36861,c_15079]) ).
tcf(c_80388,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c6,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69338,c_15079]) ).
tcf(c_80389,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c6,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69180,c_15079]) ).
tcf(c_80390,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c6,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_40815,c_15079]) ).
tcf(c_80391,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_48134,c_15079]) ).
tcf(c_80392,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_54112,c_15079]) ).
tcf(c_80393,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_76861,c_15079]) ).
tcf(c_80394,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_76669,c_15079]) ).
tcf(c_80395,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_76217,c_15079]) ).
tcf(c_80396,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_74176,c_15079]) ).
tcf(c_80397,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_72333,c_15079]) ).
tcf(c_80398,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_72029,c_15079]) ).
tcf(c_80399,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_69402,c_15079]) ).
tcf(c_80400,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_67610,c_15079]) ).
tcf(c_80401,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_64122,c_15079]) ).
tcf(c_80402,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63284,c_15079]) ).
tcf(c_80403,plain,
! [X0: $i] : multiply(inverse(iPr_def_25),multiply(sk_c11,multiply(inverse(iPr_def_26),X0))) = X0,
inference(superposition,[status(thm)],[c_63146,c_15079]) ).
tcf(c_80404,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63289,c_15079]) ).
tcf(c_80405,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63283,c_15079]) ).
tcf(c_80406,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63288,c_15079]) ).
tcf(c_80407,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63282,c_15079]) ).
tcf(c_80408,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63287,c_15079]) ).
tcf(c_80409,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63286,c_15079]) ).
tcf(c_80410,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_25),multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_63285,c_15079]) ).
tcf(c_80411,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_25,X0)),multiply(sk_c11,multiply(multiply(inverse(iPr_def_26),X0),X1))) = X1,
inference(superposition,[status(thm)],[c_63302,c_15079]) ).
tcf(c_80412,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_26),X0),X1))) = X1,
inference(superposition,[status(thm)],[c_64062,c_15079]) ).
tcf(c_80413,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(identity,X0)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_103,c_15079]) ).
tcf(c_80414,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),identity) = X1,
inference(superposition,[status(thm)],[c_104,c_15079]) ).
tcf(c_80415,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(multiply(X0,X1),X2)),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_105,c_15079]) ).
tcf(c_80416,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23941,c_15079]) ).
tcf(c_80417,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_76524,c_15079]) ).
tcf(c_80418,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_76523,c_15079]) ).
tcf(c_80419,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_38674,c_15079]) ).
tcf(c_80420,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_37343,c_15079]) ).
tcf(c_80421,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_21381,c_15079]) ).
tcf(c_80422,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,sk_c11)),multiply(iPr_def_26,X0)) = X0,
inference(superposition,[status(thm)],[c_2657,c_15079]) ).
tcf(c_80423,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_74415,c_15079]) ).
tcf(c_80424,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24127,c_15079]) ).
tcf(c_80425,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24107,c_15079]) ).
tcf(c_80426,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24087,c_15079]) ).
tcf(c_80427,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,sk_c10)),multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_2658,c_15079]) ).
tcf(c_80428,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_64389,c_15079]) ).
tcf(c_80429,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27213,c_15079]) ).
tcf(c_80430,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27059,c_15079]) ).
tcf(c_80431,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27017,c_15079]) ).
tcf(c_80432,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,sk_c8)),multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_2659,c_15079]) ).
tcf(c_80433,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,sk_c10)),multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_2660,c_15079]) ).
tcf(c_80434,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_2661,c_15079]) ).
tcf(c_80435,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c10,sk_c9)),multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_2662,c_15079]) ).
tcf(c_80436,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_35960,c_15079]) ).
tcf(c_80437,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_35915,c_15079]) ).
tcf(c_80438,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_35886,c_15079]) ).
tcf(c_80439,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_34810,c_15079]) ).
tcf(c_80440,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_34772,c_15079]) ).
tcf(c_80441,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_34706,c_15079]) ).
tcf(c_80442,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32875,c_15079]) ).
tcf(c_80443,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32821,c_15079]) ).
tcf(c_80444,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,X0)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32683,c_15079]) ).
tcf(c_80445,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,sk_c2)),multiply(iPr_def_28,X0)) = X0,
inference(superposition,[status(thm)],[c_2663,c_15079]) ).
tcf(c_80446,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,sk_c9)),multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_2664,c_15079]) ).
tcf(c_80447,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_15021,c_15079]) ).
tcf(c_80448,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,sk_c11)),X0) = X0,
inference(superposition,[status(thm)],[c_2683,c_15079]) ).
tcf(c_80449,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,sk_c3)),X0) = X0,
inference(superposition,[status(thm)],[c_2682,c_15079]) ).
tcf(c_80450,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,sk_c4)),X0) = X0,
inference(superposition,[status(thm)],[c_2681,c_15079]) ).
tcf(c_80451,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,sk_c5)),X0) = X0,
inference(superposition,[status(thm)],[c_2680,c_15079]) ).
tcf(c_80452,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,sk_c7)),X0) = X0,
inference(superposition,[status(thm)],[c_2679,c_15079]) ).
tcf(c_80453,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_18,sk_c6)),X0) = X0,
inference(superposition,[status(thm)],[c_2678,c_15079]) ).
tcf(c_80454,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_27,sk_c1)),X0) = X0,
inference(superposition,[status(thm)],[c_2677,c_15079]) ).
tcf(c_80455,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,sk_c9)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_4296,c_15079]) ).
tcf(c_80456,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,iPr_def_24)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5553,c_15079]) ).
tcf(c_80457,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_27,iPr_def_28)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_5599,c_15079]) ).
tcf(c_80458,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5628,c_15079]) ).
tcf(c_80459,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5626,c_15079]) ).
tcf(c_80460,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5624,c_15079]) ).
tcf(c_80461,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5622,c_15079]) ).
tcf(c_80462,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_19)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5620,c_15079]) ).
tcf(c_80463,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5629,c_15079]) ).
tcf(c_80464,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5627,c_15079]) ).
tcf(c_80465,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5625,c_15079]) ).
tcf(c_80466,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5623,c_15079]) ).
tcf(c_80467,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_18,iPr_def_16)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5621,c_15079]) ).
tcf(c_80468,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_19,iPr_def_16)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_5694,c_15079]) ).
tcf(c_80469,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,iPr_def_22)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_5730,c_15079]) ).
tcf(c_80470,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_23,iPr_def_24)),multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_5756,c_15079]) ).
tcf(c_80471,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c9)),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_5968,c_15079]) ).
tcf(c_80472,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_25,iPr_def_26)),multiply(sk_c11,X0)) = X0,
inference(superposition,[status(thm)],[c_5997,c_15079]) ).
tcf(c_80473,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6004,c_15079]) ).
tcf(c_80474,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6003,c_15079]) ).
tcf(c_80475,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6002,c_15079]) ).
tcf(c_80476,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6001,c_15079]) ).
tcf(c_80477,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6000,c_15079]) ).
tcf(c_80478,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_14)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_5999,c_15079]) ).
tcf(c_80479,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_28)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6007,c_15079]) ).
tcf(c_80480,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_28)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6006,c_15079]) ).
tcf(c_80481,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_28)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6005,c_15079]) ).
tcf(c_80482,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_28)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6019,c_15079]) ).
tcf(c_80483,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_28)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6018,c_15079]) ).
tcf(c_80484,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_28)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6017,c_15079]) ).
tcf(c_80485,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6013,c_15079]) ).
tcf(c_80486,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6012,c_15079]) ).
tcf(c_80487,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6011,c_15079]) ).
tcf(c_80488,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6010,c_15079]) ).
tcf(c_80489,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6009,c_15079]) ).
tcf(c_80490,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6008,c_15079]) ).
tcf(c_80491,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_22)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6021,c_15079]) ).
tcf(c_80492,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_22)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6015,c_15079]) ).
tcf(c_80493,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_20)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6022,c_15079]) ).
tcf(c_80494,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_20)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6016,c_15079]) ).
tcf(c_80495,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c5,iPr_def_21)),X0) = X0,
inference(superposition,[status(thm)],[c_26099,c_15079]) ).
tcf(c_80496,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,iPr_def_23)),X0) = X0,
inference(superposition,[status(thm)],[c_21898,c_15079]) ).
tcf(c_80497,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,iPr_def_25)),X0) = X0,
inference(superposition,[status(thm)],[c_20535,c_15079]) ).
tcf(c_80498,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,iPr_def_27)),X0) = X0,
inference(superposition,[status(thm)],[c_32418,c_15079]) ).
tcf(c_80500,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c11,iPr_def_15)),X0) = X0,
inference(superposition,[status(thm)],[c_19119,c_15079]) ).
tcf(c_80501,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_25,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19812,c_15079]) ).
tcf(c_80502,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_25,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19391,c_15079]) ).
tcf(c_80503,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19828,c_15079]) ).
tcf(c_80504,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_22,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19426,c_15079]) ).
tcf(c_80505,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_20,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19453,c_15079]) ).
tcf(c_80506,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_20,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20006,c_15079]) ).
tcf(c_80507,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_28,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19682,c_15079]) ).
tcf(c_80508,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19592,c_15079]) ).
tcf(c_80509,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_19481,c_15079]) ).
tcf(c_80510,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(iPr_def_26),sk_c3)),multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_20375,c_15079]) ).
tcf(c_80511,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,iPr_def_19)),X0) = X0,
inference(superposition,[status(thm)],[c_29164,c_15079]) ).
tcf(c_80512,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_18)),X0) = X0,
inference(superposition,[status(thm)],[c_31584,c_15079]) ).
tcf(c_80513,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31854,c_15079]) ).
tcf(c_80514,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31834,c_15079]) ).
tcf(c_80515,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31814,c_15079]) ).
tcf(c_80516,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31773,c_15079]) ).
tcf(c_80517,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_18)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31742,c_15079]) ).
tcf(c_80518,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c11,inverse(iPr_def_26))),multiply(iPr_def_25,X0)) = X0,
inference(superposition,[status(thm)],[c_63302,c_15079]) ).
tcf(c_80519,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_26))),X0) = X0,
inference(superposition,[status(thm)],[c_64062,c_15079]) ).
tcf(c_80520,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = sk_c11,
inference(superposition,[status(thm)],[c_20702,c_15079]) ).
tcf(c_80522,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = sk_c10,
inference(superposition,[status(thm)],[c_23268,c_15079]) ).
tcf(c_80524,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = sk_c8,
inference(superposition,[status(thm)],[c_26218,c_15079]) ).
tcf(c_80526,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_628,c_15079]) ).
tcf(c_80527,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = sk_c8,
inference(superposition,[status(thm)],[c_29283,c_15079]) ).
tcf(c_80529,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_622,c_15079]) ).
tcf(c_80530,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_28)) = sk_c2,
inference(superposition,[status(thm)],[c_32945,c_15079]) ).
tcf(c_80532,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_625,c_15079]) ).
tcf(c_80533,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,identity)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_103,c_15079]) ).
tcf(c_80534,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,identity)) = X1,
inference(superposition,[status(thm)],[c_104,c_15079]) ).
tcf(c_80535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,multiply(X1,X2))),multiply(X0,multiply(X1,multiply(X2,X3)))) = X3,
inference(superposition,[status(thm)],[c_105,c_15079]) ).
tcf(c_80536,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,iPr_def_26)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_47885,c_15079]) ).
tcf(c_80537,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c11)),multiply(X0,iPr_def_24)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52537,c_15079]) ).
tcf(c_80538,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_33821,c_15079]) ).
tcf(c_80539,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2153,c_15079]) ).
tcf(c_80540,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1711,c_15079]) ).
tcf(c_80541,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1430,c_15079]) ).
tcf(c_80542,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1039,c_15079]) ).
tcf(c_80543,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2192,c_15079]) ).
tcf(c_80544,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1723,c_15079]) ).
tcf(c_80545,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1451,c_15079]) ).
tcf(c_80546,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1238,c_15079]) ).
tcf(c_80547,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1040,c_15079]) ).
tcf(c_80548,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_33180,c_15079]) ).
tcf(c_80549,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2296,c_15079]) ).
tcf(c_80550,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1811,c_15079]) ).
tcf(c_80551,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1501,c_15079]) ).
tcf(c_80552,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1077,c_15079]) ).
tcf(c_80553,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2056,c_15079]) ).
tcf(c_80554,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1635,c_15079]) ).
tcf(c_80555,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1378,c_15079]) ).
tcf(c_80556,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1137,c_15079]) ).
tcf(c_80557,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1135,c_15079]) ).
tcf(c_80558,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1866,c_15079]) ).
tcf(c_80559,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1545,c_15079]) ).
tcf(c_80560,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1290,c_15079]) ).
tcf(c_80561,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1138,c_15079]) ).
tcf(c_80562,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_16)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1136,c_15079]) ).
tcf(c_80563,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26985,c_15079]) ).
tcf(c_80564,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3355,c_15079]) ).
tcf(c_80565,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3327,c_15079]) ).
tcf(c_80566,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1258,c_15079]) ).
tcf(c_80567,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1248,c_15079]) ).
tcf(c_80568,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1228,c_15079]) ).
tcf(c_80569,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1148,c_15079]) ).
tcf(c_80570,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1147,c_15079]) ).
tcf(c_80571,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2191,c_15079]) ).
tcf(c_80572,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1722,c_15079]) ).
tcf(c_80573,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1450,c_15079]) ).
tcf(c_80574,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1237,c_15079]) ).
tcf(c_80575,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1149,c_15079]) ).
tcf(c_80576,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_2055,c_15079]) ).
tcf(c_80577,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1634,c_15079]) ).
tcf(c_80578,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1377,c_15079]) ).
tcf(c_80579,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1158,c_15079]) ).
tcf(c_80580,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1156,c_15079]) ).
tcf(c_80581,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1865,c_15079]) ).
tcf(c_80582,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1544,c_15079]) ).
tcf(c_80583,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1289,c_15079]) ).
tcf(c_80584,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1159,c_15079]) ).
tcf(c_80585,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1157,c_15079]) ).
tcf(c_80586,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33179,c_15079]) ).
tcf(c_80587,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2295,c_15079]) ).
tcf(c_80588,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1810,c_15079]) ).
tcf(c_80589,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1500,c_15079]) ).
tcf(c_80590,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1160,c_15079]) ).
tcf(c_80591,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_33819,c_15079]) ).
tcf(c_80592,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2151,c_15079]) ).
tcf(c_80593,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1709,c_15079]) ).
tcf(c_80594,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1428,c_15079]) ).
tcf(c_80595,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1161,c_15079]) ).
tcf(c_80596,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,identity)) = iPr_def_21,
inference(superposition,[status(thm)],[c_26094,c_15079]) ).
tcf(c_80597,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1864,c_15079]) ).
tcf(c_80598,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1543,c_15079]) ).
tcf(c_80599,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1288,c_15079]) ).
tcf(c_80600,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1177,c_15079]) ).
tcf(c_80601,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c5)),multiply(X0,iPr_def_22)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1175,c_15079]) ).
tcf(c_80602,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33178,c_15079]) ).
tcf(c_80603,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_2294,c_15079]) ).
tcf(c_80604,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1809,c_15079]) ).
tcf(c_80605,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1499,c_15079]) ).
tcf(c_80606,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1186,c_15079]) ).
tcf(c_80607,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,identity)) = iPr_def_23,
inference(superposition,[status(thm)],[c_21893,c_15079]) ).
tcf(c_80608,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,identity)) = iPr_def_25,
inference(superposition,[status(thm)],[c_20530,c_15079]) ).
tcf(c_80609,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_48546,c_15079]) ).
tcf(c_80610,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_34391,c_15079]) ).
tcf(c_80611,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1665,c_15079]) ).
tcf(c_80612,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1193,c_15079]) ).
tcf(c_80613,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_34025,c_15079]) ).
tcf(c_80614,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1595,c_15079]) ).
tcf(c_80615,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1194,c_15079]) ).
tcf(c_80616,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,identity)) = iPr_def_27,
inference(superposition,[status(thm)],[c_32413,c_15079]) ).
tcf(c_80617,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = sk_c11,
inference(superposition,[status(thm)],[c_1207,c_15079]) ).
tcf(c_80618,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = sk_c3,
inference(superposition,[status(thm)],[c_1208,c_15079]) ).
tcf(c_80619,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = sk_c4,
inference(superposition,[status(thm)],[c_1209,c_15079]) ).
tcf(c_80620,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,identity)) = sk_c5,
inference(superposition,[status(thm)],[c_1210,c_15079]) ).
tcf(c_80621,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,identity)) = sk_c7,
inference(superposition,[status(thm)],[c_1211,c_15079]) ).
tcf(c_80622,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = sk_c6,
inference(superposition,[status(thm)],[c_1212,c_15079]) ).
tcf(c_80623,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,identity)) = sk_c1,
inference(superposition,[status(thm)],[c_1213,c_15079]) ).
tcf(c_80624,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,inverse(iPr_def_26))) = iPr_def_25,
inference(superposition,[status(thm)],[c_63130,c_15079]) ).
tcf(c_80625,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1664,c_15079]) ).
tcf(c_80626,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1215,c_15079]) ).
tcf(c_80627,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1594,c_15079]) ).
tcf(c_80628,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1216,c_15079]) ).
tcf(c_80629,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3925,c_15079]) ).
tcf(c_80630,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3863,c_15079]) ).
tcf(c_80631,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3793,c_15079]) ).
tcf(c_80632,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1463,c_15079]) ).
tcf(c_80633,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1396,c_15079]) ).
tcf(c_80634,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1326,c_15079]) ).
tcf(c_80635,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26660,c_15079]) ).
tcf(c_80636,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_23077,c_15079]) ).
tcf(c_80637,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9461,c_15079]) ).
tcf(c_80638,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_9274,c_15079]) ).
tcf(c_80639,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3926,c_15079]) ).
tcf(c_80640,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3864,c_15079]) ).
tcf(c_80641,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_3794,c_15079]) ).
tcf(c_80642,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1464,c_15079]) ).
tcf(c_80643,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1397,c_15079]) ).
tcf(c_80644,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1327,c_15079]) ).
tcf(c_80645,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_23941,c_15079]) ).
tcf(c_80646,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_76524,c_15079]) ).
tcf(c_80647,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_26)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_55706,c_15079]) ).
tcf(c_80648,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_76523,c_15079]) ).
tcf(c_80649,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_38674,c_15079]) ).
tcf(c_80650,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_37343,c_15079]) ).
tcf(c_80651,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_21381,c_15079]) ).
tcf(c_80652,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_26)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_62536,c_15079]) ).
tcf(c_80653,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1912,c_15079]) ).
tcf(c_80654,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1910,c_15079]) ).
tcf(c_80655,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1908,c_15079]) ).
tcf(c_80656,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1906,c_15079]) ).
tcf(c_80657,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1904,c_15079]) ).
tcf(c_80658,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1977,c_15079]) ).
tcf(c_80659,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1911,c_15079]) ).
tcf(c_80660,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1909,c_15079]) ).
tcf(c_80661,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1907,c_15079]) ).
tcf(c_80662,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,identity)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1905,c_15079]) ).
tcf(c_80663,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35071,c_15079]) ).
tcf(c_80664,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34907,c_15079]) ).
tcf(c_80665,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26393,c_15079]) ).
tcf(c_80666,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22603,c_15079]) ).
tcf(c_80667,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12169,c_15079]) ).
tcf(c_80668,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5254,c_15079]) ).
tcf(c_80669,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5143,c_15079]) ).
tcf(c_80670,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5022,c_15079]) ).
tcf(c_80671,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2216,c_15079]) ).
tcf(c_80672,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2081,c_15079]) ).
tcf(c_80673,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2004,c_15079]) ).
tcf(c_80674,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35072,c_15079]) ).
tcf(c_80675,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34908,c_15079]) ).
tcf(c_80676,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26394,c_15079]) ).
tcf(c_80677,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_22604,c_15079]) ).
tcf(c_80678,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12170,c_15079]) ).
tcf(c_80679,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5255,c_15079]) ).
tcf(c_80680,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5144,c_15079]) ).
tcf(c_80681,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5023,c_15079]) ).
tcf(c_80682,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2217,c_15079]) ).
tcf(c_80683,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2082,c_15079]) ).
tcf(c_80684,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2005,c_15079]) ).
tcf(c_80685,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35074,c_15079]) ).
tcf(c_80686,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34910,c_15079]) ).
tcf(c_80687,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26396,c_15079]) ).
tcf(c_80688,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22606,c_15079]) ).
tcf(c_80689,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12172,c_15079]) ).
tcf(c_80690,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5257,c_15079]) ).
tcf(c_80691,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5146,c_15079]) ).
tcf(c_80692,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_5025,c_15079]) ).
tcf(c_80693,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2219,c_15079]) ).
tcf(c_80694,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2084,c_15079]) ).
tcf(c_80695,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2007,c_15079]) ).
tcf(c_80696,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,sk_c10)) = iPr_def_24,
inference(superposition,[status(thm)],[c_5741,c_15079]) ).
tcf(c_80697,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12073,c_15079]) ).
tcf(c_80698,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_10297,c_15079]) ).
tcf(c_80699,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_8942,c_15079]) ).
tcf(c_80700,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_5551,c_15079]) ).
tcf(c_80701,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c11)),multiply(X0,identity)) = iPr_def_15,
inference(superposition,[status(thm)],[c_19114,c_15079]) ).
tcf(c_80702,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3248,c_15079]) ).
tcf(c_80703,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3167,c_15079]) ).
tcf(c_80704,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3049,c_15079]) ).
tcf(c_80705,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2934,c_15079]) ).
tcf(c_80706,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2822,c_15079]) ).
tcf(c_80707,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2605,c_15079]) ).
tcf(c_80708,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_26890,c_15079]) ).
tcf(c_80709,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_23205,c_15079]) ).
tcf(c_80710,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_21024,c_15079]) ).
tcf(c_80711,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12838,c_15079]) ).
tcf(c_80712,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_12719,c_15079]) ).
tcf(c_80713,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3249,c_15079]) ).
tcf(c_80714,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3168,c_15079]) ).
tcf(c_80715,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3050,c_15079]) ).
tcf(c_80716,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2935,c_15079]) ).
tcf(c_80717,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2823,c_15079]) ).
tcf(c_80718,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2606,c_15079]) ).
tcf(c_80719,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,multiply(iPr_def_26,X1))) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_2657,c_15079]) ).
tcf(c_80720,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_74415,c_15079]) ).
tcf(c_80721,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24127,c_15079]) ).
tcf(c_80722,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24107,c_15079]) ).
tcf(c_80723,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_24087,c_15079]) ).
tcf(c_80724,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_2658,c_15079]) ).
tcf(c_80725,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_64389,c_15079]) ).
tcf(c_80726,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27213,c_15079]) ).
tcf(c_80727,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27059,c_15079]) ).
tcf(c_80728,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_27017,c_15079]) ).
tcf(c_80729,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_22,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_2659,c_15079]) ).
tcf(c_80730,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_20,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_2660,c_15079]) ).
tcf(c_80731,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_2661,c_15079]) ).
tcf(c_80732,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_2662,c_15079]) ).
tcf(c_80733,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_35960,c_15079]) ).
tcf(c_80734,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_35915,c_15079]) ).
tcf(c_80735,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_35886,c_15079]) ).
tcf(c_80736,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_34810,c_15079]) ).
tcf(c_80737,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_34772,c_15079]) ).
tcf(c_80738,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_34706,c_15079]) ).
tcf(c_80739,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32875,c_15079]) ).
tcf(c_80740,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32821,c_15079]) ).
tcf(c_80741,plain,
! [X0: $i,X1: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = X1 ) ),
inference(superposition,[status(thm)],[c_32683,c_15079]) ).
tcf(c_80742,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,multiply(iPr_def_28,X1))) = multiply(sk_c2,X1),
inference(superposition,[status(thm)],[c_2663,c_15079]) ).
tcf(c_80743,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(iPr_def_17,X1))) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_2664,c_15079]) ).
tcf(c_80744,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_15021,c_15079]) ).
tcf(c_80745,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(sk_c11,X1),
inference(superposition,[status(thm)],[c_2683,c_15079]) ).
tcf(c_80746,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(sk_c3,X1),
inference(superposition,[status(thm)],[c_2682,c_15079]) ).
tcf(c_80747,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,X1)) = multiply(sk_c4,X1),
inference(superposition,[status(thm)],[c_2681,c_15079]) ).
tcf(c_80748,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,X1)) = multiply(sk_c5,X1),
inference(superposition,[status(thm)],[c_2680,c_15079]) ).
tcf(c_80749,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,X1)) = multiply(sk_c7,X1),
inference(superposition,[status(thm)],[c_2679,c_15079]) ).
tcf(c_80750,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_2678,c_15079]) ).
tcf(c_80751,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_2677,c_15079]) ).
tcf(c_80752,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_26)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_41587,c_15079]) ).
tcf(c_80753,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,identity)) = iPr_def_19,
inference(superposition,[status(thm)],[c_29159,c_15079]) ).
tcf(c_80754,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,identity)) = iPr_def_18,
inference(superposition,[status(thm)],[c_31579,c_15079]) ).
tcf(c_80755,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,iPr_def_24)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_36947,c_15079]) ).
tcf(c_80756,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_24)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52106,c_15079]) ).
tcf(c_80757,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_24)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50763,c_15079]) ).
tcf(c_80758,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4912,c_15079]) ).
tcf(c_80759,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4660,c_15079]) ).
tcf(c_80760,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4485,c_15079]) ).
tcf(c_80761,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4353,c_15079]) ).
tcf(c_80762,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4206,c_15079]) ).
tcf(c_80763,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4081,c_15079]) ).
tcf(c_80764,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57198,c_15079]) ).
tcf(c_80765,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26519,c_15079]) ).
tcf(c_80766,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_22802,c_15079]) ).
tcf(c_80767,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_20824,c_15079]) ).
tcf(c_80768,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10686,c_15079]) ).
tcf(c_80769,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10533,c_15079]) ).
tcf(c_80770,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4913,c_15079]) ).
tcf(c_80771,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4661,c_15079]) ).
tcf(c_80772,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4486,c_15079]) ).
tcf(c_80773,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4354,c_15079]) ).
tcf(c_80774,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4207,c_15079]) ).
tcf(c_80775,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4082,c_15079]) ).
tcf(c_80776,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(sk_c9,X1) ) ),
inference(superposition,[status(thm)],[c_4296,c_15079]) ).
tcf(c_80777,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,sk_c2)) = iPr_def_28,
inference(superposition,[status(thm)],[c_5304,c_15079]) ).
tcf(c_80778,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19176,c_15079]) ).
tcf(c_80779,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19170,c_15079]) ).
tcf(c_80780,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19177,c_15079]) ).
tcf(c_80781,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19171,c_15079]) ).
tcf(c_80782,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31667,c_15079]) ).
tcf(c_80783,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31665,c_15079]) ).
tcf(c_80784,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31663,c_15079]) ).
tcf(c_80785,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31661,c_15079]) ).
tcf(c_80786,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,identity)) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_31659,c_15079]) ).
tcf(c_80787,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19175,c_15079]) ).
tcf(c_80788,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19169,c_15079]) ).
tcf(c_80789,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_24,X1) ) ),
inference(superposition,[status(thm)],[c_5553,c_15079]) ).
tcf(c_80790,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(sk_c2,X1))) = multiply(iPr_def_28,X1),
inference(superposition,[status(thm)],[c_5599,c_15079]) ).
tcf(c_80791,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_5628,c_15079]) ).
tcf(c_80792,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_5626,c_15079]) ).
tcf(c_80793,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_5624,c_15079]) ).
tcf(c_80794,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_5622,c_15079]) ).
tcf(c_80795,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_19,X1) ) ),
inference(superposition,[status(thm)],[c_5620,c_15079]) ).
tcf(c_80796,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_5629,c_15079]) ).
tcf(c_80797,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_5627,c_15079]) ).
tcf(c_80798,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_5625,c_15079]) ).
tcf(c_80799,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_5623,c_15079]) ).
tcf(c_80800,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,X1)) = multiply(iPr_def_16,X1) ) ),
inference(superposition,[status(thm)],[c_5621,c_15079]) ).
tcf(c_80801,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,sk_c8)) = iPr_def_16,
inference(superposition,[status(thm)],[c_5677,c_15079]) ).
tcf(c_80802,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_19)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_5694,c_15079]) ).
tcf(c_80803,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,sk_c8)) = iPr_def_22,
inference(superposition,[status(thm)],[c_5696,c_15079]) ).
tcf(c_80804,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_22,X1),
inference(superposition,[status(thm)],[c_5730,c_15079]) ).
tcf(c_80805,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,multiply(sk_c10,X1))) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_5756,c_15079]) ).
tcf(c_80806,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19174,c_15079]) ).
tcf(c_80807,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19173,c_15079]) ).
tcf(c_80808,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_19172,c_15079]) ).
tcf(c_80809,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(sk_c9,X1) ) ),
inference(superposition,[status(thm)],[c_5968,c_15079]) ).
tcf(c_80810,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,sk_c11)) = iPr_def_26,
inference(superposition,[status(thm)],[c_5985,c_15079]) ).
tcf(c_80811,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,multiply(sk_c11,X1))) = multiply(iPr_def_26,X1),
inference(superposition,[status(thm)],[c_5997,c_15079]) ).
tcf(c_80812,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6004,c_15079]) ).
tcf(c_80813,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6003,c_15079]) ).
tcf(c_80814,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6002,c_15079]) ).
tcf(c_80815,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6001,c_15079]) ).
tcf(c_80816,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_6000,c_15079]) ).
tcf(c_80817,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_14,X1) ) ),
inference(superposition,[status(thm)],[c_5999,c_15079]) ).
tcf(c_80818,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_28,X1) ) ),
inference(superposition,[status(thm)],[c_6007,c_15079]) ).
tcf(c_80819,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_28,X1) ) ),
inference(superposition,[status(thm)],[c_6006,c_15079]) ).
tcf(c_80820,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_28,X1) ) ),
inference(superposition,[status(thm)],[c_6005,c_15079]) ).
tcf(c_80821,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_28,X1) ) ),
inference(superposition,[status(thm)],[c_6019,c_15079]) ).
tcf(c_80822,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_28,X1) ) ),
inference(superposition,[status(thm)],[c_6018,c_15079]) ).
tcf(c_80823,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_28,X1) ) ),
inference(superposition,[status(thm)],[c_6017,c_15079]) ).
tcf(c_80824,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6013,c_15079]) ).
tcf(c_80825,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6012,c_15079]) ).
tcf(c_80826,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6011,c_15079]) ).
tcf(c_80827,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6010,c_15079]) ).
tcf(c_80828,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6009,c_15079]) ).
tcf(c_80829,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_6008,c_15079]) ).
tcf(c_80830,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_22,X1) ) ),
inference(superposition,[status(thm)],[c_6021,c_15079]) ).
tcf(c_80831,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_22,X1) ) ),
inference(superposition,[status(thm)],[c_6015,c_15079]) ).
tcf(c_80832,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_20,X1) ) ),
inference(superposition,[status(thm)],[c_6022,c_15079]) ).
tcf(c_80833,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(iPr_def_20,X1) ) ),
inference(superposition,[status(thm)],[c_6016,c_15079]) ).
tcf(c_80834,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_26)) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_48357,c_15079]) ).
tcf(c_80835,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,sk_c2)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6278,c_15079]) ).
tcf(c_80836,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,sk_c2)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6259,c_15079]) ).
tcf(c_80837,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,sk_c2)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6240,c_15079]) ).
tcf(c_80838,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11600,c_15079]) ).
tcf(c_80839,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9975,c_15079]) ).
tcf(c_80840,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8576,c_15079]) ).
tcf(c_80841,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7083,c_15079]) ).
tcf(c_80842,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11602,c_15079]) ).
tcf(c_80843,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9976,c_15079]) ).
tcf(c_80844,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8577,c_15079]) ).
tcf(c_80845,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7084,c_15079]) ).
tcf(c_80846,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_11116,c_15079]) ).
tcf(c_80847,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_9784,c_15079]) ).
tcf(c_80848,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_8348,c_15079]) ).
tcf(c_80849,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_7137,c_15079]) ).
tcf(c_80850,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_11118,c_15079]) ).
tcf(c_80851,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_9785,c_15079]) ).
tcf(c_80852,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8349,c_15079]) ).
tcf(c_80853,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),multiply(X0,iPr_def_20)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_7138,c_15079]) ).
tcf(c_80854,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,X1)) = multiply(iPr_def_21,X1),
inference(superposition,[status(thm)],[c_26099,c_15079]) ).
tcf(c_80855,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,X1)) = multiply(iPr_def_23,X1),
inference(superposition,[status(thm)],[c_21898,c_15079]) ).
tcf(c_80856,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,X1)) = multiply(iPr_def_25,X1),
inference(superposition,[status(thm)],[c_20535,c_15079]) ).
tcf(c_80857,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,X1)) = multiply(iPr_def_27,X1),
inference(superposition,[status(thm)],[c_32418,c_15079]) ).
tcf(c_80858,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c9))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14218,c_15079]) ).
tcf(c_80859,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c9))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14216,c_15079]) ).
tcf(c_80860,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c9))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14214,c_15079]) ).
tcf(c_80861,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c9))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14212,c_15079]) ).
tcf(c_80862,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_20,sk_c9))) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14210,c_15079]) ).
tcf(c_80863,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_24,sk_c9))) = iPr_def_14,
inference(superposition,[status(thm)],[c_13590,c_15079]) ).
tcf(c_80864,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_20,sk_c9))) = iPr_def_14,
inference(superposition,[status(thm)],[c_14102,c_15079]) ).
tcf(c_80865,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12610,c_15079]) ).
tcf(c_80866,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10432,c_15079]) ).
tcf(c_80867,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_9116,c_15079]) ).
tcf(c_80868,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_19924,c_15079]) ).
tcf(c_80869,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18201,c_15079]) ).
tcf(c_80870,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_17881,c_15079]) ).
tcf(c_80871,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_40216,c_15079]) ).
tcf(c_80872,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_40171,c_15079]) ).
tcf(c_80873,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_38005,c_15079]) ).
tcf(c_80874,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19935,c_15079]) ).
tcf(c_80875,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18209,c_15079]) ).
tcf(c_80876,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_24)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17890,c_15079]) ).
tcf(c_80877,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),multiply(X0,multiply(iPr_def_22,sk_c10))) = iPr_def_20,
inference(superposition,[status(thm)],[c_13757,c_15079]) ).
tcf(c_80878,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14219,c_15079]) ).
tcf(c_80879,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14217,c_15079]) ).
tcf(c_80880,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14215,c_15079]) ).
tcf(c_80881,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14213,c_15079]) ).
tcf(c_80882,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14211,c_15079]) ).
tcf(c_80883,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_20)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_19947,c_15079]) ).
tcf(c_80884,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_20)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_18224,c_15079]) ).
tcf(c_80885,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_20)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_17920,c_15079]) ).
tcf(c_80886,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36278,c_15079]) ).
tcf(c_80887,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36208,c_15079]) ).
tcf(c_80888,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36116,c_15079]) ).
tcf(c_80889,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_36010,c_15079]) ).
tcf(c_80890,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,multiply(iPr_def_18,iPr_def_14))) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_35204,c_15079]) ).
tcf(c_80891,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19958,c_15079]) ).
tcf(c_80892,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18232,c_15079]) ).
tcf(c_80893,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_20)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_17929,c_15079]) ).
tcf(c_80894,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,sk_c10))) = iPr_def_20,
inference(superposition,[status(thm)],[c_14243,c_15079]) ).
tcf(c_80895,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,multiply(iPr_def_28,sk_c9))) = iPr_def_17,
inference(superposition,[status(thm)],[c_14472,c_15079]) ).
tcf(c_80896,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,sk_c10)) = iPr_def_20,
inference(superposition,[status(thm)],[c_15072,c_15079]) ).
tcf(c_80897,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c10))),multiply(X0,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_15074,c_15079]) ).
tcf(c_80898,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c2))),multiply(X0,sk_c9)) = iPr_def_17,
inference(superposition,[status(thm)],[c_15076,c_15079]) ).
tcf(c_80900,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = identity,
inference(superposition,[status(thm)],[c_16715,c_15079]) ).
tcf(c_80901,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c11)),multiply(X0,X1)) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_19119,c_15079]) ).
tcf(c_80902,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,sk_c3)) = iPr_def_15,
inference(superposition,[status(thm)],[c_20361,c_15079]) ).
tcf(c_80903,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19812,c_15079]) ).
tcf(c_80904,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19391,c_15079]) ).
tcf(c_80905,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19828,c_15079]) ).
tcf(c_80906,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19426,c_15079]) ).
tcf(c_80907,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19453,c_15079]) ).
tcf(c_80908,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_20006,c_15079]) ).
tcf(c_80909,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19682,c_15079]) ).
tcf(c_80910,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19592,c_15079]) ).
tcf(c_80911,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_19481,c_15079]) ).
tcf(c_80912,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_26))),multiply(X0,iPr_def_15)) = sk_c3,
inference(superposition,[status(thm)],[c_20364,c_15079]) ).
tcf(c_80913,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_26))),multiply(X0,multiply(iPr_def_15,X1))) = multiply(sk_c3,X1),
inference(superposition,[status(thm)],[c_20375,c_15079]) ).
tcf(c_80914,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_24)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_52413,c_15079]) ).
tcf(c_80915,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = inverse(iPr_def_26),
inference(superposition,[status(thm)],[c_63307,c_15079]) ).
tcf(c_80916,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_41060,c_15079]) ).
tcf(c_80917,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40958,c_15079]) ).
tcf(c_80918,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_40891,c_15079]) ).
tcf(c_80919,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1)) = multiply(iPr_def_19,X1),
inference(superposition,[status(thm)],[c_29164,c_15079]) ).
tcf(c_80920,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,X1)) = multiply(iPr_def_18,X1),
inference(superposition,[status(thm)],[c_31584,c_15079]) ).
tcf(c_80921,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_31854,c_15079]) ).
tcf(c_80922,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_31834,c_15079]) ).
tcf(c_80923,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_31814,c_15079]) ).
tcf(c_80924,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_31773,c_15079]) ).
tcf(c_80925,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_31742,c_15079]) ).
tcf(c_80926,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36861,c_15079]) ).
tcf(c_80927,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_22)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_69338,c_15079]) ).
tcf(c_80928,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_22)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_69180,c_15079]) ).
tcf(c_80929,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_22)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_40815,c_15079]) ).
tcf(c_80930,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_48134,c_15079]) ).
tcf(c_80931,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_54112,c_15079]) ).
tcf(c_80932,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76861,c_15079]) ).
tcf(c_80933,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76669,c_15079]) ).
tcf(c_80934,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_76217,c_15079]) ).
tcf(c_80935,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_74176,c_15079]) ).
tcf(c_80936,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72333,c_15079]) ).
tcf(c_80937,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_72029,c_15079]) ).
tcf(c_80938,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_69402,c_15079]) ).
tcf(c_80939,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_67610,c_15079]) ).
tcf(c_80940,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,identity)) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64122,c_15079]) ).
tcf(c_80941,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63284,c_15079]) ).
tcf(c_80942,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c11)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26),
inference(superposition,[status(thm)],[c_63146,c_15079]) ).
tcf(c_80943,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63289,c_15079]) ).
tcf(c_80944,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63283,c_15079]) ).
tcf(c_80945,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63288,c_15079]) ).
tcf(c_80946,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63282,c_15079]) ).
tcf(c_80947,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63287,c_15079]) ).
tcf(c_80948,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63286,c_15079]) ).
tcf(c_80949,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_25)) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_63285,c_15079]) ).
tcf(c_80950,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c11)),multiply(X0,multiply(iPr_def_25,X1))) = multiply(inverse(iPr_def_26),X1),
inference(superposition,[status(thm)],[c_63302,c_15079]) ).
tcf(c_80951,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = multiply(inverse(iPr_def_26),X1),
inference(superposition,[status(thm)],[c_64062,c_15079]) ).
tcf(c_80952,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(X0),multiply(inverse(multiply(X1,X2)),multiply(multiply(X1,multiply(X2,X0)),X3))) = X3,
inference(superposition,[status(thm)],[c_15079,c_15079]) ).
tcf(c_80953,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_15079,c_15021]) ).
tcf(c_80954,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,X1)),multiply(multiply(X0,multiply(X1,X2)),X3)) = multiply(X2,X3),
inference(superposition,[status(thm)],[c_15079,c_105]) ).
tcf(c_80955,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,X2)))),multiply(X0,X3)) = multiply(X1,multiply(X2,X3)),
inference(superposition,[status(thm)],[c_15079,c_15079]) ).
tcf(c_80956,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),X2) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_15079,c_15079]) ).
tcf(c_80973,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),X0) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_80754,c_16715]) ).
tcf(c_80974,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),X0) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_80753,c_16715]) ).
tcf(c_80975,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c11)),X0) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_80701,c_16715]) ).
tcf(c_80976,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),X0) = sk_c1,
inference(light_normalisation,[status(thm)],[c_80623,c_16715]) ).
tcf(c_80977,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_18)),X0) = sk_c6,
inference(light_normalisation,[status(thm)],[c_80622,c_16715]) ).
tcf(c_80978,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_19)),X0) = sk_c7,
inference(light_normalisation,[status(thm)],[c_80621,c_16715]) ).
tcf(c_80979,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_21)),X0) = sk_c5,
inference(light_normalisation,[status(thm)],[c_80620,c_16715]) ).
tcf(c_80980,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_23)),X0) = sk_c4,
inference(light_normalisation,[status(thm)],[c_80619,c_16715]) ).
tcf(c_80981,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_25)),X0) = sk_c3,
inference(light_normalisation,[status(thm)],[c_80618,c_16715]) ).
tcf(c_80982,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),X0) = sk_c11,
inference(light_normalisation,[status(thm)],[c_80617,c_16715]) ).
tcf(c_80983,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),X0) = iPr_def_27,
inference(light_normalisation,[status(thm)],[c_80616,c_16715]) ).
tcf(c_80984,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),X0) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_80608,c_16715]) ).
tcf(c_80985,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_80607,c_16715]) ).
tcf(c_80986,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c5)),X0) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_80596,c_16715]) ).
tcf(c_80989,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80470,c_5741]) ).
tcf(c_80990,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80469,c_5696]) ).
tcf(c_80992,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80457,c_5304]) ).
tcf(c_80993,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(iPr_def_17,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80446,c_625]) ).
tcf(c_80994,plain,
! [X0: $i] : multiply(inverse(iPr_def_28),multiply(iPr_def_28,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80445,c_32945]) ).
tcf(c_80995,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(iPr_def_14,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80435,c_622]) ).
tcf(c_80996,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(iPr_def_16,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80434,c_29283]) ).
tcf(c_80997,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(iPr_def_20,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80433,c_628]) ).
tcf(c_80998,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(iPr_def_22,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80432,c_26218]) ).
tcf(c_80999,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80427,c_23268]) ).
tcf(c_81030,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_26)),X0) = inverse(iPr_def_26),
inference(light_normalisation,[status(thm)],[c_80915,c_16715]) ).
tcf(c_81031,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(light_normalisation,[status(thm)],[c_80534,c_16715]) ).
tcf(c_81037,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80359,c_15238]) ).
tcf(c_81040,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_26)),multiply(inverse(iPr_def_26),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_80085,c_30192]) ).
tcf(c_81134,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_28,sk_c9)),multiply(iPr_def_28,multiply(sk_c9,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_80356,c_14544]) ).
tcf(c_81135,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c10)),multiply(iPr_def_16,multiply(sk_c10,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_80355,c_14255]) ).
tcf(c_81136,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c10)),multiply(iPr_def_22,multiply(sk_c10,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_80338,c_14138]) ).
tcf(c_81137,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_20,sk_c9)),multiply(iPr_def_20,multiply(sk_c9,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_80325,c_14422]) ).
tcf(c_81138,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,sk_c9)),multiply(iPr_def_24,multiply(sk_c9,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_80324,c_14423]) ).
tcf(c_81139,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_27,multiply(sk_c1,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_80212,c_32412,c_32919]) ).
tcf(c_81140,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_18,multiply(sk_c6,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_80211,c_31578,c_31945]) ).
tcf(c_81141,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_19,multiply(sk_c7,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_80210,c_29158,c_29247]) ).
tcf(c_81142,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_21,multiply(sk_c5,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_80209,c_26093,c_26169]) ).
tcf(c_81143,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_23,multiply(sk_c4,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_80208,c_21892,c_23243]) ).
tcf(c_81144,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_25,multiply(sk_c3,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_80207,c_20529,c_20601]) ).
tcf(c_81145,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_15,multiply(sk_c11,multiply(X0,X1)))) = X1,
inference(light_normalisation,[status(thm)],[c_80206,c_19113,c_19364]) ).
tcf(c_81147,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80940,c_16715]) ).
tcf(c_81150,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80939,c_16715]) ).
tcf(c_81153,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80938,c_16715]) ).
tcf(c_81156,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80937,c_16715]) ).
tcf(c_81159,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80936,c_16715]) ).
tcf(c_81162,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80935,c_16715]) ).
tcf(c_81165,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80934,c_16715]) ).
tcf(c_81168,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80933,c_16715]) ).
tcf(c_81171,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80932,c_16715]) ).
tcf(c_81184,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_80926,c_16715]) ).
tcf(c_81187,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_80918,c_16715]) ).
tcf(c_81190,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_80917,c_16715]) ).
tcf(c_81193,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_80916,c_16715]) ).
tcf(c_81216,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_80873,c_16715]) ).
tcf(c_81219,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_80872,c_16715]) ).
tcf(c_81222,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_80871,c_16715]) ).
tcf(c_81277,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80808,c_16715]) ).
tcf(c_81280,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80807,c_16715]) ).
tcf(c_81283,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80806,c_16715]) ).
tcf(c_81286,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80788,c_16715]) ).
tcf(c_81289,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80787,c_16715]) ).
tcf(c_81292,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_80786,c_16715]) ).
tcf(c_81295,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_80785,c_16715]) ).
tcf(c_81298,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_80784,c_16715]) ).
tcf(c_81301,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_80783,c_16715]) ).
tcf(c_81304,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),X0) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_80782,c_16715]) ).
tcf(c_81307,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80781,c_16715]) ).
tcf(c_81310,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80780,c_16715]) ).
tcf(c_81313,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80779,c_16715]) ).
tcf(c_81316,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_80778,c_16715]) ).
tcf(c_81343,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_80763,c_16715]) ).
tcf(c_81346,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_80762,c_16715]) ).
tcf(c_81349,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_80761,c_16715]) ).
tcf(c_81352,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_80760,c_16715]) ).
tcf(c_81355,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_80759,c_16715]) ).
tcf(c_81358,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_80758,c_16715]) ).
tcf(c_81425,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_80707,c_16715]) ).
tcf(c_81428,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_80706,c_16715]) ).
tcf(c_81431,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_80705,c_16715]) ).
tcf(c_81434,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_80704,c_16715]) ).
tcf(c_81437,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_80703,c_16715]) ).
tcf(c_81440,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_80702,c_16715]) ).
tcf(c_81517,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_80662,c_16715]) ).
tcf(c_81520,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_80661,c_16715]) ).
tcf(c_81523,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_80660,c_16715]) ).
tcf(c_81526,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_80659,c_16715]) ).
tcf(c_81529,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_80658,c_16715]) ).
tcf(c_81532,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_80657,c_16715]) ).
tcf(c_81535,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_80656,c_16715]) ).
tcf(c_81538,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_80655,c_16715]) ).
tcf(c_81541,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_80654,c_16715]) ).
tcf(c_81544,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_18)),X0) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_80653,c_16715]) ).
tcf(c_81577,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80634,c_16715]) ).
tcf(c_81580,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80633,c_16715]) ).
tcf(c_81583,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80632,c_16715]) ).
tcf(c_81586,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80631,c_16715]) ).
tcf(c_81589,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80630,c_16715]) ).
tcf(c_81592,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_80629,c_16715]) ).
tcf(c_81595,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_80628,c_16715]) ).
tcf(c_81598,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_80627,c_16715]) ).
tcf(c_81601,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_80626,c_16715]) ).
tcf(c_81604,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_80625,c_16715]) ).
tcf(c_81807,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80401,c_16750]) ).
tcf(c_81810,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80400,c_16750]) ).
tcf(c_81813,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80399,c_16750]) ).
tcf(c_81816,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80398,c_16750]) ).
tcf(c_81819,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80397,c_16750]) ).
tcf(c_81822,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80396,c_16750]) ).
tcf(c_81825,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80395,c_16750]) ).
tcf(c_81828,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80394,c_16750]) ).
tcf(c_81831,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80393,c_16750]) ).
tcf(c_81844,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,multiply(iPr_def_26,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80387,c_16750]) ).
tcf(c_81847,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80379,c_16750]) ).
tcf(c_81850,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80378,c_16750]) ).
tcf(c_81853,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80377,c_16750]) ).
tcf(c_81876,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80334,c_16750]) ).
tcf(c_81879,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80333,c_16750]) ).
tcf(c_81882,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80332,c_16750]) ).
tcf(c_81937,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c11,X0)),multiply(sk_c11,multiply(X0,X1))) = X1,
inference(light_normalisation,[status(thm)],[c_80272,c_17819,c_19113,c_19364]) ).
tcf(c_81938,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80269,c_16750]) ).
tcf(c_81941,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80268,c_16750]) ).
tcf(c_81944,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_28,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80267,c_16750]) ).
tcf(c_81947,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(multiply(sk_c10,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80266,c_17351]) ).
tcf(c_81948,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(multiply(sk_c8,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80265,c_17311]) ).
tcf(c_81950,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c2,X0)),multiply(multiply(sk_c2,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80251,c_16994]) ).
tcf(c_81951,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_25,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80249,c_16750]) ).
tcf(c_81954,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_25,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80248,c_16750]) ).
tcf(c_81957,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80247,c_16750]) ).
tcf(c_81960,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80246,c_16750]) ).
tcf(c_81963,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80245,c_16750]) ).
tcf(c_81966,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80244,c_16750]) ).
tcf(c_81969,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_16,multiply(iPr_def_18,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80243,c_16750]) ).
tcf(c_81972,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80242,c_16750]) ).
tcf(c_81975,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_20,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80241,c_16750]) ).
tcf(c_81978,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80240,c_16750]) ).
tcf(c_81981,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_15,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80239,c_16750]) ).
tcf(c_82008,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80224,c_16750]) ).
tcf(c_82011,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80223,c_16750]) ).
tcf(c_82014,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80222,c_16750]) ).
tcf(c_82017,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80221,c_16750]) ).
tcf(c_82020,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80220,c_16750]) ).
tcf(c_82023,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_14,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80219,c_16750]) ).
tcf(c_82034,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_17,X0)),multiply(multiply(iPr_def_17,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80204,c_14543]) ).
tcf(c_82035,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_28,X0)),multiply(multiply(iPr_def_28,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80203,c_14490]) ).
tcf(c_82054,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_14,X0)),multiply(multiply(iPr_def_14,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80193,c_14421]) ).
tcf(c_82055,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_16,X0)),multiply(multiply(iPr_def_16,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80192,c_14277]) ).
tcf(c_82056,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_20,X0)),multiply(multiply(iPr_def_20,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80191,c_14137]) ).
tcf(c_82057,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_22,X0)),multiply(multiply(iPr_def_22,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80190,c_13789]) ).
tcf(c_82066,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(multiply(iPr_def_24,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80185,c_13625]) ).
tcf(c_82075,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_26,X0)),multiply(multiply(iPr_def_26,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80180,c_12982]) ).
tcf(c_82098,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80168,c_16750]) ).
tcf(c_82101,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80167,c_16750]) ).
tcf(c_82104,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80166,c_16750]) ).
tcf(c_82107,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80165,c_16750]) ).
tcf(c_82110,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80164,c_16750]) ).
tcf(c_82113,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80163,c_16750]) ).
tcf(c_82190,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80123,c_16750]) ).
tcf(c_82193,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80122,c_16750]) ).
tcf(c_82196,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80121,c_16750]) ).
tcf(c_82199,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80120,c_16750]) ).
tcf(c_82202,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_19,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80119,c_16750]) ).
tcf(c_82205,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80118,c_16750]) ).
tcf(c_82208,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80117,c_16750]) ).
tcf(c_82211,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80116,c_16750]) ).
tcf(c_82214,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80115,c_16750]) ).
tcf(c_82217,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_18,multiply(iPr_def_16,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80114,c_16750]) ).
tcf(c_82250,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80095,c_16750]) ).
tcf(c_82253,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80094,c_16750]) ).
tcf(c_82256,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80093,c_16750]) ).
tcf(c_82259,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80092,c_16750]) ).
tcf(c_82262,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80091,c_16750]) ).
tcf(c_82265,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_28,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80090,c_16750]) ).
tcf(c_82268,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80089,c_16750]) ).
tcf(c_82271,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_20,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80088,c_16750]) ).
tcf(c_82274,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80087,c_16750]) ).
tcf(c_82277,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80086,c_16750]) ).
tcf(c_82450,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_25,X0)),multiply(multiply(iPr_def_25,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80411,c_67278]) ).
tcf(c_82451,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80410,c_20601]) ).
tcf(c_82454,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80409,c_20601]) ).
tcf(c_82457,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_28,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80408,c_20601]) ).
tcf(c_82460,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80407,c_20601]) ).
tcf(c_82463,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_25,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80406,c_20601]) ).
tcf(c_82466,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80405,c_20601]) ).
tcf(c_82469,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80404,c_20601]) ).
tcf(c_82472,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c3,multiply(iPr_def_20,multiply(inverse(iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_80402,c_20601]) ).
tcf(c_82475,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(multiply(iPr_def_15,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_80374,c_20529,c_20601,c_30274]) ).
tcf(c_84587,plain,
multiply(inverse(iPr_def_22),multiply(sk_c5,iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_26218,c_80526]) ).
tcf(c_84589,plain,
multiply(inverse(iPr_def_16),multiply(sk_c7,iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_29283,c_80526]) ).
tcf(c_84591,plain,
multiply(inverse(sk_c8),multiply(identity,iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_103,c_80526]) ).
tcf(c_84592,plain,
multiply(inverse(identity),multiply(inverse(sk_c8),iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_104,c_80526]) ).
tcf(c_84593,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_105,c_80526]) ).
tcf(c_84594,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(sk_c10,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_23941,c_80526]) ).
tcf(c_84595,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(iPr_def_23,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_76524,c_80526]) ).
tcf(c_84596,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(iPr_def_26,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_76523,c_80526]) ).
tcf(c_84597,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_26,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_38674,c_80526]) ).
tcf(c_84598,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_26,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_37343,c_80526]) ).
tcf(c_84599,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_26,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21381,c_80526]) ).
tcf(c_84600,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_24,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_74415,c_80526]) ).
tcf(c_84601,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_24,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24127,c_80526]) ).
tcf(c_84602,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_24,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24107,c_80526]) ).
tcf(c_84603,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_24,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24087,c_80526]) ).
tcf(c_84604,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_22,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64389,c_80526]) ).
tcf(c_84605,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_22,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27213,c_80526]) ).
tcf(c_84606,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_22,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27059,c_80526]) ).
tcf(c_84607,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_22,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27017,c_80526]) ).
tcf(c_84608,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35960,c_80526]) ).
tcf(c_84609,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35915,c_80526]) ).
tcf(c_84610,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35886,c_80526]) ).
tcf(c_84611,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34810,c_80526]) ).
tcf(c_84612,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34772,c_80526]) ).
tcf(c_84613,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34706,c_80526]) ).
tcf(c_84614,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_32875,c_80526]) ).
tcf(c_84615,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_32821,c_80526]) ).
tcf(c_84616,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_28,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_32683,c_80526]) ).
tcf(c_84617,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c6,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_69338,c_80526]) ).
tcf(c_84618,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c6,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_69180,c_80526]) ).
tcf(c_84619,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_22),multiply(sk_c6,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_40815,c_80526]) ).
tcf(c_84640,plain,
multiply(inverse(multiply(identity,sk_c8)),iPr_def_20) = sk_c10,
inference(superposition,[status(thm)],[c_103,c_80526]) ).
tcf(c_84641,plain,
multiply(inverse(multiply(inverse(iPr_def_20),sk_c8)),identity) = sk_c10,
inference(superposition,[status(thm)],[c_104,c_80526]) ).
tcf(c_84642,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,X1),sk_c8)),multiply(X0,multiply(X1,iPr_def_20))) = sk_c10,
inference(superposition,[status(thm)],[c_105,c_80526]) ).
tcf(c_84643,plain,
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c3,sk_c8)),iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34025,c_80526]) ).
tcf(c_84644,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(sk_c3,sk_c8)),iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1595,c_80526]) ).
tcf(c_84645,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c3,sk_c8)),iPr_def_26) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1194,c_80526]) ).
tcf(c_84646,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c8)),identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1594,c_80526]) ).
tcf(c_84647,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c8)),identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1216,c_80526]) ).
tcf(c_84648,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,sk_c8)),multiply(iPr_def_14,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_23941,c_80526]) ).
tcf(c_84649,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,sk_c8)),multiply(iPr_def_14,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_76524,c_80526]) ).
tcf(c_84650,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c8)),multiply(iPr_def_14,iPr_def_20)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_76523,c_80526]) ).
tcf(c_84651,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_38674,c_80526]) ).
tcf(c_84652,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_37343,c_80526]) ).
tcf(c_84653,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_21381,c_80526]) ).
tcf(c_84654,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_74415,c_80526]) ).
tcf(c_84655,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24127,c_80526]) ).
tcf(c_84656,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24107,c_80526]) ).
tcf(c_84657,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_24087,c_80526]) ).
tcf(c_84658,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_64389,c_80526]) ).
tcf(c_84659,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27213,c_80526]) ).
tcf(c_84660,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27059,c_80526]) ).
tcf(c_84661,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_27017,c_80526]) ).
tcf(c_84662,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35960,c_80526]) ).
tcf(c_84663,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35915,c_80526]) ).
tcf(c_84664,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_35886,c_80526]) ).
tcf(c_84665,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34810,c_80526]) ).
tcf(c_84666,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34772,c_80526]) ).
tcf(c_84667,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34706,c_80526]) ).
tcf(c_84668,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_32875,c_80526]) ).
tcf(c_84669,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_32821,c_80526]) ).
tcf(c_84670,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c8)),iPr_def_20) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_32683,c_80526]) ).
tcf(c_84671,plain,
multiply(inverse(multiply(sk_c5,sk_c8)),multiply(iPr_def_22,sk_c10)) = sk_c10,
inference(superposition,[status(thm)],[c_13757,c_80526]) ).
tcf(c_84672,plain,
multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_16,sk_c10)) = sk_c10,
inference(superposition,[status(thm)],[c_14243,c_80526]) ).
tcf(c_84673,plain,
multiply(inverse(multiply(inverse(sk_c8),sk_c8)),sk_c10) = sk_c10,
inference(superposition,[status(thm)],[c_15072,c_80526]) ).
tcf(c_84674,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_15)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_80526]) ).
tcf(c_84675,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_14)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_80526]) ).
tcf(c_84676,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c10),multiply(inverse(multiply(X0,sk_c8)),multiply(multiply(X0,iPr_def_20),X1))) = X1,
inference(superposition,[status(thm)],[c_80526,c_15079]) ).
tcf(c_84677,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c8))),sk_c10) = multiply(X0,iPr_def_20),
inference(superposition,[status(thm)],[c_80526,c_15021]) ).
tcf(c_84678,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(multiply(X0,iPr_def_20),X1)) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_80526,c_105]) ).
tcf(c_84679,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c8)))),multiply(X0,sk_c10)) = multiply(X1,iPr_def_20),
inference(superposition,[status(thm)],[c_80526,c_15079]) ).
tcf(c_84680,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c8)),X0)),sk_c10) = iPr_def_20,
inference(superposition,[status(thm)],[c_80526,c_15079]) ).
tcf(c_84681,plain,
multiply(inverse(iPr_def_16),multiply(iPr_def_16,sk_c10)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_84589,c_14243]) ).
tcf(c_84682,plain,
multiply(inverse(iPr_def_22),multiply(iPr_def_22,sk_c10)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_84587,c_13757]) ).
tcf(c_84683,plain,
multiply(identity,sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_84592,c_15072,c_16750]) ).
tcf(c_88128,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_79947,c_33178]) ).
tcf(c_88132,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_79947,c_21898]) ).
tcf(c_88133,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_79947,c_21893]) ).
tcf(c_88134,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_79947,c_12169]) ).
tcf(c_88138,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_79947,c_13590]) ).
tcf(c_88139,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_79947,c_2658]) ).
tcf(c_88140,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_79947,c_2294]) ).
tcf(c_88145,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_79947,c_1499]) ).
tcf(c_88146,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_79947,c_1186]) ).
tcf(c_88147,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_79947,c_2681]) ).
tcf(c_88148,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_79947,c_1209]) ).
tcf(c_88279,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_23) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_53428,c_639]) ).
tcf(c_88281,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_53428,c_638]) ).
tcf(c_88324,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_20,iPr_def_23) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_53429,c_639]) ).
tcf(c_88326,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_23) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_53429,c_638]) ).
tcf(c_88360,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_57894,c_15021]) ).
tcf(c_88361,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_24,iPr_def_15) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_57894,c_639]) ).
tcf(c_88362,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_57894,c_104]) ).
tcf(c_88363,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_57894,c_638]) ).
tcf(c_88397,plain,
inverse(multiply(inverse(iPr_def_20),sk_c8)) = sk_c10,
inference(demodulation,[status(thm)],[c_84641,c_16715]) ).
tcf(c_88398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_23,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88397]) ).
tcf(c_88399,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(sk_c4,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88397]) ).
tcf(c_88400,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49975,c_88397]) ).
tcf(c_88401,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_25,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88397]) ).
tcf(c_88402,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_20,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88397]) ).
tcf(c_88403,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(sk_c3,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88397]) ).
tcf(c_88404,plain,
( ( identity = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34027,c_88397]) ).
tcf(c_88405,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(iPr_def_15,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1597,c_88397]) ).
tcf(c_88406,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88397]) ).
tcf(c_88407,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_15),sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88397]) ).
tcf(c_88408,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),sk_c8)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88397]) ).
tcf(c_88419,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_686,c_88397]) ).
tcf(c_88420,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_683,c_88397]) ).
tcf(c_88421,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_676,c_88397]) ).
tcf(c_88422,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_673,c_88397]) ).
tcf(c_88423,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_666,c_88397]) ).
tcf(c_88424,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_663,c_88397]) ).
tcf(c_88425,plain,
( ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_656,c_88397]) ).
tcf(c_88426,plain,
( ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_653,c_88397]) ).
tcf(c_88427,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_646,c_88397]) ).
tcf(c_88428,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_643,c_88397]) ).
tcf(c_88429,plain,
! [X0: $i] : multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0,
inference(superposition,[status(thm)],[c_88397,c_15021]) ).
tcf(c_88430,plain,
( ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),sk_c8),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),sk_c8)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88397,c_639]) ).
tcf(c_88431,plain,
multiply(sk_c10,multiply(inverse(iPr_def_20),sk_c8)) = identity,
inference(superposition,[status(thm)],[c_88397,c_104]) ).
tcf(c_88432,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),sk_c8)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),sk_c8)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),sk_c8),inverse(multiply(inverse(iPr_def_20),sk_c8))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88397,c_638]) ).
tcf(c_88433,plain,
! [X0: $i] : multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_88397,c_15079]) ).
tcf(c_88434,plain,
multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_88397,c_80526]) ).
tcf(c_88475,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(sk_c11,sk_c8)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_88407,c_19364]) ).
tcf(c_88478,plain,
( ~ iPr_def_12
| ( sk_c11 != iPr_def_14 )
| ( multiply(multiply(inverse(iPr_def_20),sk_c8),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_88430,c_622,c_88397]) ).
tcf(c_88482,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(sk_c10,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c10 )
| ( multiply(multiply(inverse(iPr_def_20),sk_c8),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_88432,c_88397]) ).
tcf(c_88561,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_35002,c_88431]) ).
tcf(c_88562,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_34838,c_88431]) ).
tcf(c_88563,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_32439,c_88431]) ).
tcf(c_88564,plain,
( ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_32437,c_88431]) ).
tcf(c_88565,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_26118,c_88431]) ).
tcf(c_88566,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_21917,c_88431]) ).
tcf(c_88572,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_12031,c_88431]) ).
tcf(c_88577,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_88431]) ).
tcf(c_88579,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_88431]) ).
tcf(c_88582,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_2289,c_88431]) ).
tcf(c_88583,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_2051,c_88431]) ).
tcf(c_88584,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1978,c_88431]) ).
tcf(c_88585,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_691,c_88431]) ).
tcf(c_88586,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_690,c_88431]) ).
tcf(c_88587,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_688,c_88431]) ).
tcf(c_88588,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_88431]) ).
tcf(c_88589,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_685,c_88431]) ).
tcf(c_88590,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_681,c_88431]) ).
tcf(c_88591,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_88431]) ).
tcf(c_88592,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_671,c_88431]) ).
tcf(c_88593,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_88431]) ).
tcf(c_88594,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_651,c_88431]) ).
tcf(c_88595,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_88431]) ).
tcf(c_88596,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_23,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88431]) ).
tcf(c_88597,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c4,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88431]) ).
tcf(c_88598,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88431]) ).
tcf(c_88599,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_25,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88431]) ).
tcf(c_88600,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_20,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88431]) ).
tcf(c_88601,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c3,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88431]) ).
tcf(c_88602,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88431]) ).
tcf(c_88603,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88431]) ).
tcf(c_88604,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88431]) ).
tcf(c_88605,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88431]) ).
tcf(c_88606,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88431]) ).
tcf(c_88617,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_686,c_88431]) ).
tcf(c_88618,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_683,c_88431]) ).
tcf(c_88619,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_88431]) ).
tcf(c_88620,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_88431]) ).
tcf(c_88621,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_88431]) ).
tcf(c_88622,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_88431]) ).
tcf(c_88623,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_656,c_88431]) ).
tcf(c_88624,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_653,c_88431]) ).
tcf(c_88625,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_646,c_88431]) ).
tcf(c_88626,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_643,c_88431]) ).
tcf(c_88627,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0,
inference(superposition,[status(thm)],[c_88431,c_15079]) ).
tcf(c_88628,plain,
multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),sk_c8),
inference(superposition,[status(thm)],[c_88431,c_15021]) ).
tcf(c_88629,plain,
! [X0: $i] : multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_88431,c_105]) ).
tcf(c_88630,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8),
inference(superposition,[status(thm)],[c_88431,c_15079]) ).
tcf(c_88631,plain,
multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = sk_c8,
inference(superposition,[status(thm)],[c_88431,c_15079]) ).
tcf(c_88632,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_88431,c_23941]) ).
tcf(c_88633,plain,
multiply(iPr_def_20,multiply(inverse(iPr_def_20),sk_c8)) = multiply(sk_c8,identity),
inference(superposition,[status(thm)],[c_88431,c_2660]) ).
tcf(c_88634,plain,
multiply(iPr_def_24,multiply(inverse(iPr_def_20),sk_c8)) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_88431,c_2658]) ).
tcf(c_88678,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c11,sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_88605,c_19364]) ).
tcf(c_88727,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c10)),X0) = multiply(inverse(iPr_def_20),sk_c8),
inference(light_normalisation,[status(thm)],[c_88630,c_16715]) ).
tcf(c_88966,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88362,c_15079]) ).
tcf(c_88967,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88362,c_15021]) ).
tcf(c_88968,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88362,c_105]) ).
tcf(c_88969,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88362,c_15079]) ).
tcf(c_88970,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88362,c_19828]) ).
tcf(c_88971,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88362,c_19812]) ).
tcf(c_88978,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88362,c_20006]) ).
tcf(c_88979,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_88362,c_19119]) ).
tcf(c_88993,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_88969,c_16715,c_80982]) ).
tcf(c_88996,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_15,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_88966,c_16750]) ).
tcf(c_89157,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_26),X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_88993,c_63302]) ).
tcf(c_89158,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,inverse(iPr_def_26)) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_88993,c_63146]) ).
tcf(c_89159,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88993,c_62536]) ).
tcf(c_89161,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88993,c_55706]) ).
tcf(c_89163,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88993,c_48357]) ).
tcf(c_89169,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88993,c_47885]) ).
tcf(c_89170,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88993,c_41587]) ).
tcf(c_89180,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( iPr_def_24 != iPr_def_25 )
| ( sk_c10 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88993,c_3392]) ).
tcf(c_89191,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88993,c_19119]) ).
tcf(c_89192,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_88993,c_19114]) ).
tcf(c_89193,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_88993,c_2657]) ).
tcf(c_89219,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_88993,c_641]) ).
tcf(c_89220,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88993,c_1078]) ).
tcf(c_89221,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88993,c_1065]) ).
tcf(c_89222,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88993,c_1064]) ).
tcf(c_89223,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88993,c_1027]) ).
tcf(c_89224,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_88993,c_1019]) ).
tcf(c_89226,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 != iPr_def_24 )
| ( sk_c10 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88993,c_637]) ).
tcf(c_89234,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_88993,c_634]) ).
tcf(c_89249,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_89161,c_5741]) ).
tcf(c_89491,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_89249,c_88431]) ).
tcf(c_89493,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_26)) != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89249,c_2451]) ).
tcf(c_89494,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89249,c_52537]) ).
tcf(c_89495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89249,c_52413]) ).
tcf(c_89496,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89249,c_52106]) ).
tcf(c_89498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89249,c_50763]) ).
tcf(c_89502,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89249,c_36947]) ).
tcf(c_89503,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( identity != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89249,c_49641]) ).
tcf(c_89504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_10
| ( sk_c11 != iPr_def_26 )
| ( sk_c11 != identity ) ),
inference(superposition,[status(thm)],[c_89249,c_49427]) ).
tcf(c_89509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 )
| ( sk_c9 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89249,c_2469]) ).
tcf(c_89513,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_89249,c_15074]) ).
tcf(c_89514,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_89249,c_2662]) ).
tcf(c_89515,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(iPr_def_26,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_89249,c_2660]) ).
tcf(c_89516,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_89249,c_2658]) ).
tcf(c_89537,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_89249,c_1238]) ).
tcf(c_89540,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_89249,c_1157]) ).
tcf(c_89541,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_89249,c_1156]) ).
tcf(c_89546,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_89249,c_640]) ).
tcf(c_89553,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89249,c_632]) ).
tcf(c_89554,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_89249,c_628]) ).
tcf(c_89555,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_89249,c_622]) ).
tcf(c_89658,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_24,sk_c3) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_60647,c_639]) ).
tcf(c_89660,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_60647,c_638]) ).
tcf(c_89662,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c3 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_60647,c_24125]) ).
tcf(c_89730,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_57198]) ).
tcf(c_89731,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_54112]) ).
tcf(c_89734,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_48546]) ).
tcf(c_89736,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_48134]) ).
tcf(c_89742,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_34391]) ).
tcf(c_89743,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_34025]) ).
tcf(c_89745,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_24,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_89662,c_20375]) ).
tcf(c_89758,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_89662,c_20535]) ).
tcf(c_89759,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_89662,c_20530]) ).
tcf(c_89762,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_89662,c_20364]) ).
tcf(c_89781,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_89662,c_2657]) ).
tcf(c_89788,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_1194]) ).
tcf(c_89789,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89662,c_1193]) ).
tcf(c_89790,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_89662,c_2682]) ).
tcf(c_89791,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_89662,c_1208]) ).
tcf(c_89879,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_23,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88419]) ).
tcf(c_89880,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c4,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88419]) ).
tcf(c_89881,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49975,c_88419]) ).
tcf(c_89882,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_25,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88419]) ).
tcf(c_89883,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_20,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88419]) ).
tcf(c_89884,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c3,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88419]) ).
tcf(c_89885,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34027,c_88419]) ).
tcf(c_89886,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1597,c_88419]) ).
tcf(c_89887,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88419]) ).
tcf(c_89888,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88419]) ).
tcf(c_89889,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88419]) ).
tcf(c_89893,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88419,c_15021]) ).
tcf(c_89894,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88419,c_639]) ).
tcf(c_89896,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),inverse(multiply(inverse(iPr_def_20),iPr_def_21))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88419,c_638]) ).
tcf(c_89897,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88419,c_15079]) ).
tcf(c_89932,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c11,iPr_def_21)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_89888,c_19364]) ).
tcf(c_90077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_23,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88420]) ).
tcf(c_90078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c4,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88420]) ).
tcf(c_90079,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49975,c_88420]) ).
tcf(c_90080,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_25,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88420]) ).
tcf(c_90081,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_20,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88420]) ).
tcf(c_90082,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c3,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88420]) ).
tcf(c_90083,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34027,c_88420]) ).
tcf(c_90084,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1597,c_88420]) ).
tcf(c_90085,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88420]) ).
tcf(c_90086,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88420]) ).
tcf(c_90087,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88420]) ).
tcf(c_90088,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88420,c_15021]) ).
tcf(c_90089,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88420,c_639]) ).
tcf(c_90091,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),inverse(multiply(inverse(iPr_def_20),iPr_def_18))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88420,c_638]) ).
tcf(c_90092,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88420,c_15079]) ).
tcf(c_90127,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c11,iPr_def_18)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_90086,c_19364]) ).
tcf(c_90260,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1597,c_88421]) ).
tcf(c_90267,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88421,c_15021]) ).
tcf(c_90268,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88421,c_639]) ).
tcf(c_90270,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),inverse(multiply(inverse(iPr_def_20),iPr_def_21))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88421,c_638]) ).
tcf(c_90271,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88421,c_15079]) ).
tcf(c_90302,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1597,c_88422]) ).
tcf(c_90306,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88422,c_15021]) ).
tcf(c_90307,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88422,c_639]) ).
tcf(c_90309,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),inverse(multiply(inverse(iPr_def_20),iPr_def_18))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88422,c_638]) ).
tcf(c_90310,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88422,c_15079]) ).
tcf(c_90426,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_23,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88423]) ).
tcf(c_90427,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c4,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88423]) ).
tcf(c_90428,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49975,c_88423]) ).
tcf(c_90429,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_25,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88423]) ).
tcf(c_90430,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_20,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88423]) ).
tcf(c_90431,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c3,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88423]) ).
tcf(c_90432,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34027,c_88423]) ).
tcf(c_90434,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88423]) ).
tcf(c_90435,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88423]) ).
tcf(c_90436,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88423]) ).
tcf(c_90440,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88423,c_15021]) ).
tcf(c_90441,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88423,c_639]) ).
tcf(c_90443,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),inverse(multiply(inverse(iPr_def_20),iPr_def_21))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88423,c_638]) ).
tcf(c_90444,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88423,c_15079]) ).
tcf(c_90476,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c11,iPr_def_21)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_90435,c_19364]) ).
tcf(c_90497,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_23,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88424]) ).
tcf(c_90498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c4,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88424]) ).
tcf(c_90499,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49975,c_88424]) ).
tcf(c_90500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_25,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88424]) ).
tcf(c_90501,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_20,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88424]) ).
tcf(c_90502,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c3,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88424]) ).
tcf(c_90503,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34027,c_88424]) ).
tcf(c_90505,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88424]) ).
tcf(c_90506,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88424]) ).
tcf(c_90507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88424]) ).
tcf(c_90508,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88424,c_15021]) ).
tcf(c_90509,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88424,c_639]) ).
tcf(c_90511,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),inverse(multiply(inverse(iPr_def_20),iPr_def_18))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88424,c_638]) ).
tcf(c_90512,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88424,c_15079]) ).
tcf(c_90544,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c11,iPr_def_18)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_90506,c_19364]) ).
tcf(c_90691,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_23,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88425]) ).
tcf(c_90692,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(sk_c4,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88425]) ).
tcf(c_90693,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49975,c_88425]) ).
tcf(c_90694,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_25,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88425]) ).
tcf(c_90695,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_20,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88425]) ).
tcf(c_90696,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(sk_c3,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88425]) ).
tcf(c_90697,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34027,c_88425]) ).
tcf(c_90699,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88425]) ).
tcf(c_90700,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88425]) ).
tcf(c_90701,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88425]) ).
tcf(c_90705,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88425,c_15021]) ).
tcf(c_90706,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88425,c_639]) ).
tcf(c_90708,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),inverse(multiply(inverse(iPr_def_20),iPr_def_21))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88425,c_638]) ).
tcf(c_90709,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88425,c_15079]) ).
tcf(c_90741,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(sk_c11,iPr_def_21)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_90700,c_19364]) ).
tcf(c_90924,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_23,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88426]) ).
tcf(c_90925,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(sk_c4,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88426]) ).
tcf(c_90926,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_49975,c_88426]) ).
tcf(c_90927,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_25,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88426]) ).
tcf(c_90928,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_20,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88426]) ).
tcf(c_90929,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(sk_c3,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88426]) ).
tcf(c_90930,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_34027,c_88426]) ).
tcf(c_90932,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88426]) ).
tcf(c_90933,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88426]) ).
tcf(c_90934,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88426]) ).
tcf(c_90935,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88426,c_15021]) ).
tcf(c_90936,plain,
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88426,c_639]) ).
tcf(c_90938,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),inverse(multiply(inverse(iPr_def_20),iPr_def_18))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88426,c_638]) ).
tcf(c_90939,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88426,c_15079]) ).
tcf(c_90971,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( inverse(multiply(sk_c11,iPr_def_18)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_90933,c_19364]) ).
tcf(c_90995,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_79310,c_89234]) ).
tcf(c_90996,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_77049,c_89234]) ).
tcf(c_90998,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_56338,c_89234]) ).
tcf(c_91003,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_41738,c_89234]) ).
tcf(c_91005,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_33475,c_89234]) ).
tcf(c_91006,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_21476,c_89234]) ).
tcf(c_91007,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20604,c_89234]) ).
tcf(c_91016,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_89234,c_15079]) ).
tcf(c_91017,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c3),iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89234,c_15021]) ).
tcf(c_91019,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_89234,c_15079]) ).
tcf(c_91020,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = multiply(iPr_def_15,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_89234,c_20375]) ).
tcf(c_91082,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_79947,c_89553]) ).
tcf(c_91083,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_77050,c_89553]) ).
tcf(c_91086,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_50679,c_89553]) ).
tcf(c_91090,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_72583,c_89553]) ).
tcf(c_91092,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_57538,c_89553]) ).
tcf(c_91093,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56276,c_89553]) ).
tcf(c_91094,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_56264,c_89553]) ).
tcf(c_91095,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_27210,c_89553]) ).
tcf(c_91096,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_24) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_24123,c_89553]) ).
tcf(c_91097,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_12691,c_89553]) ).
tcf(c_91098,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4899,c_89553]) ).
tcf(c_91099,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c4,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_89553,c_15079]) ).
tcf(c_91100,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89553,c_15021]) ).
tcf(c_91102,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_24)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89553,c_15079]) ).
tcf(c_91105,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_91097,c_13590]) ).
tcf(c_91200,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_57538,c_89554]) ).
tcf(c_91201,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56276,c_89554]) ).
tcf(c_91202,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_56264,c_89554]) ).
tcf(c_91203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_27210,c_89554]) ).
tcf(c_91204,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_24123,c_89554]) ).
tcf(c_91205,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_12691,c_89554]) ).
tcf(c_91206,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4899,c_89554]) ).
tcf(c_91207,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(sk_c8,multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_89554,c_15079]) ).
tcf(c_91208,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),iPr_def_20) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89554,c_15021]) ).
tcf(c_91210,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_20)) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_89554,c_15079]) ).
tcf(c_91211,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_20) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_89554,c_2661]) ).
tcf(c_91212,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c5,iPr_def_20) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_89554,c_2659]) ).
tcf(c_91215,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_91205,c_14102]) ).
tcf(c_91229,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c10) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_91212,c_13757]) ).
tcf(c_91232,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,sk_c10) = multiply(iPr_def_16,iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_91211,c_14243]) ).
tcf(c_91283,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_57538,c_89555]) ).
tcf(c_91284,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_25,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56276,c_89555]) ).
tcf(c_91285,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_56264,c_89555]) ).
tcf(c_91286,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27210,c_89555]) ).
tcf(c_91287,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_24123,c_89555]) ).
tcf(c_91288,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_12691,c_89555]) ).
tcf(c_91289,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4899,c_89555]) ).
tcf(c_91295,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_89555,c_15079]) ).
tcf(c_91298,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_89555,c_15079]) ).
tcf(c_91302,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_89555,c_21381]) ).
tcf(c_91303,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,sk_c9) = multiply(iPr_def_25,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_89555,c_5997]) ).
tcf(c_91507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_89555]) ).
tcf(c_91508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c10 != iPr_def_14 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_91302,c_49408]) ).
tcf(c_91511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_33821]) ).
tcf(c_91512,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_33180]) ).
tcf(c_91518,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_91302,c_5968]) ).
tcf(c_91522,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_91302,c_4296]) ).
tcf(c_91525,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91302,c_19924]) ).
tcf(c_91526,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_12172]) ).
tcf(c_91532,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_91302,c_17881]) ).
tcf(c_91538,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_91302,c_2664]) ).
tcf(c_91539,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_91302,c_2662]) ).
tcf(c_91542,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_2153]) ).
tcf(c_91548,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_1430]) ).
tcf(c_91551,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_91302,c_1228]) ).
tcf(c_91555,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_1039]) ).
tcf(c_91560,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_91302,c_625]) ).
tcf(c_91561,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c10,iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91302,c_622]) ).
tcf(c_91631,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_24,iPr_def_25) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_62615,c_639]) ).
tcf(c_91633,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_25) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_62615,c_638]) ).
tcf(c_91659,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72583,c_63131]) ).
tcf(c_91660,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72578,c_63131]) ).
tcf(c_91668,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63131,c_15021]) ).
tcf(c_91669,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,identity) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63131,c_639]) ).
tcf(c_91670,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_63131,c_104]) ).
tcf(c_91671,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,identity) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63131,c_638]) ).
tcf(c_91674,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63131,c_63302]) ).
tcf(c_91675,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63131,c_64062]) ).
tcf(c_91677,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63131,c_63288]) ).
tcf(c_91681,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63131,c_63284]) ).
tcf(c_91682,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63131,c_63283]) ).
tcf(c_91684,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,identity) = identity ) ),
inference(superposition,[status(thm)],[c_63131,c_63307]) ).
tcf(c_91689,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_63131,c_20375]) ).
tcf(c_91690,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_63131,c_20364]) ).
tcf(c_91704,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c4 = identity )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_91660,c_23243]) ).
tcf(c_91708,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = identity )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_91659,c_23243]) ).
tcf(c_91719,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(X0) != X0 )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_91671,c_16715,c_63307]) ).
tcf(c_91738,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72583,c_63132]) ).
tcf(c_91739,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72578,c_63132]) ).
tcf(c_91740,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_63132]) ).
tcf(c_91741,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_63132]) ).
tcf(c_91742,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_63132]) ).
tcf(c_91743,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_63132]) ).
tcf(c_91744,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_63132]) ).
tcf(c_91745,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_63132]) ).
tcf(c_91746,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_4899,c_63132]) ).
tcf(c_91747,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63132,c_15021]) ).
tcf(c_91748,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,identity) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63132,c_639]) ).
tcf(c_91749,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_63132,c_104]) ).
tcf(c_91750,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,identity) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63132,c_638]) ).
tcf(c_91753,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_63132,c_63302]) ).
tcf(c_91754,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_63132,c_64062]) ).
tcf(c_91755,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_63132,c_63289]) ).
tcf(c_91763,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = identity ) ),
inference(superposition,[status(thm)],[c_63132,c_63307]) ).
tcf(c_91768,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_63132,c_20375]) ).
tcf(c_91769,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_63132,c_20364]) ).
tcf(c_91781,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = identity )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_91746,c_23243]) ).
tcf(c_91794,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( sk_c11 = identity ) ),
inference(light_normalisation,[status(thm)],[c_91742,c_19364]) ).
tcf(c_91802,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c4 = identity )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_91739,c_23243]) ).
tcf(c_91806,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = identity )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_91738,c_23243]) ).
tcf(c_91817,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(X0) != X0 )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_91750,c_16715,c_63307]) ).
tcf(c_91859,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_23,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88427]) ).
tcf(c_91860,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c4,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88427]) ).
tcf(c_91862,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_25,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88427]) ).
tcf(c_91863,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_20,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88427]) ).
tcf(c_91864,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c3,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88427]) ).
tcf(c_91867,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88427]) ).
tcf(c_91868,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88427]) ).
tcf(c_91869,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_21)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88427]) ).
tcf(c_91873,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88427,c_15021]) ).
tcf(c_91874,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88427,c_639]) ).
tcf(c_91876,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_21)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_21)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_21),inverse(multiply(inverse(iPr_def_20),iPr_def_21))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88427,c_638]) ).
tcf(c_91877,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_21,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88427,c_15079]) ).
tcf(c_91902,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c11,iPr_def_21)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_91868,c_19364]) ).
tcf(c_91978,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_23,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_53429,c_88428]) ).
tcf(c_91979,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c4,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_50672,c_88428]) ).
tcf(c_91981,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_25,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_47347,c_88428]) ).
tcf(c_91982,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_20,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41057,c_88428]) ).
tcf(c_91983,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c3,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_20609,c_88428]) ).
tcf(c_91986,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_1046,c_88428]) ).
tcf(c_91987,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_15),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_41730,c_88428]) ).
tcf(c_91988,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_18)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_28473,c_88428]) ).
tcf(c_91989,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_88428,c_15021]) ).
tcf(c_91990,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),sk_c10) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88428,c_639]) ).
tcf(c_91992,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c10) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_20),iPr_def_18)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_20),iPr_def_18)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_20),iPr_def_18),inverse(multiply(inverse(iPr_def_20),iPr_def_18))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_88428,c_638]) ).
tcf(c_91993,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_20),multiply(iPr_def_18,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88428,c_15079]) ).
tcf(c_92018,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c11,iPr_def_18)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_91987,c_19364]) ).
tcf(c_92070,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_88585]) ).
tcf(c_92071,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_88585]) ).
tcf(c_92072,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_88585]) ).
tcf(c_92073,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_88585]) ).
tcf(c_92074,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_88585]) ).
tcf(c_92075,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_88585]) ).
tcf(c_92077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88585]) ).
tcf(c_92078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c4,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88585]) ).
tcf(c_92079,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88585]) ).
tcf(c_92080,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88585]) ).
tcf(c_92081,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88585]) ).
tcf(c_92082,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c3,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88585]) ).
tcf(c_92083,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88585]) ).
tcf(c_92084,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88585]) ).
tcf(c_92085,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88585]) ).
tcf(c_92086,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88585]) ).
tcf(c_92087,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88585]) ).
tcf(c_92098,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_686,c_88585]) ).
tcf(c_92099,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_683,c_88585]) ).
tcf(c_92100,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_88585]) ).
tcf(c_92101,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_88585]) ).
tcf(c_92102,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_88585]) ).
tcf(c_92103,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_88585]) ).
tcf(c_92106,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_646,c_88585]) ).
tcf(c_92107,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_643,c_88585]) ).
tcf(c_92108,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88585,c_15079]) ).
tcf(c_92109,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_88585,c_15021]) ).
tcf(c_92110,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88585,c_105]) ).
tcf(c_92111,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88585,c_15079]) ).
tcf(c_92112,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88585,c_15079]) ).
tcf(c_92114,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88585,c_38674]) ).
tcf(c_92115,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88585,c_37343]) ).
tcf(c_92116,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88585,c_21381]) ).
tcf(c_92117,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),sk_c8)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_88585,c_5997]) ).
tcf(c_92164,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_92110,c_103]) ).
tcf(c_92188,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c11,sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_92086,c_19364]) ).
tcf(c_92195,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c4,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_92074,c_88634]) ).
tcf(c_92208,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c8,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_92070,c_88633]) ).
tcf(c_92212,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_92111,c_16715,c_81030]) ).
tcf(c_92215,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_92108,c_16750]) ).
tcf(c_94346,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88586,c_15079]) ).
tcf(c_94347,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_15),identity) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88586,c_15021]) ).
tcf(c_94348,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88586,c_105]) ).
tcf(c_94349,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88586,c_15079]) ).
tcf(c_94350,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88586,c_15079]) ).
tcf(c_94353,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_88586,c_19682]) ).
tcf(c_94354,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_88586,c_19592]) ).
tcf(c_94355,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_88586,c_19481]) ).
tcf(c_94360,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(sk_c11,identity) ) ),
inference(superposition,[status(thm)],[c_88586,c_19119]) ).
tcf(c_94374,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94348,c_103]) ).
tcf(c_94377,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_94349,c_16715,c_80982]) ).
tcf(c_94380,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(identity,multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94346,c_16750]) ).
tcf(c_94394,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88587]) ).
tcf(c_94395,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c4,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88587]) ).
tcf(c_94396,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88587]) ).
tcf(c_94397,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88587]) ).
tcf(c_94398,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88587]) ).
tcf(c_94399,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c3,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88587]) ).
tcf(c_94400,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88587]) ).
tcf(c_94401,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88587]) ).
tcf(c_94402,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88587]) ).
tcf(c_94403,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88587]) ).
tcf(c_94404,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88587]) ).
tcf(c_94415,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_686,c_88587]) ).
tcf(c_94416,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_683,c_88587]) ).
tcf(c_94417,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_88587]) ).
tcf(c_94418,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_88587]) ).
tcf(c_94419,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_88587]) ).
tcf(c_94420,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_88587]) ).
tcf(c_94423,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_646,c_88587]) ).
tcf(c_94424,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_643,c_88587]) ).
tcf(c_94425,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88587,c_15079]) ).
tcf(c_94426,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_88587,c_15021]) ).
tcf(c_94427,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88587,c_105]) ).
tcf(c_94428,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88587,c_15079]) ).
tcf(c_94429,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88587,c_15079]) ).
tcf(c_94431,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88587,c_21898]) ).
tcf(c_94468,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94427,c_103]) ).
tcf(c_94492,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c11,sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_94403,c_19364]) ).
tcf(c_94496,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_94428,c_16715,c_80980]) ).
tcf(c_94499,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94425,c_16750]) ).
tcf(c_94539,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88588,c_15079]) ).
tcf(c_94540,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),identity) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88588,c_15021]) ).
tcf(c_94541,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88588,c_105]) ).
tcf(c_94542,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88588,c_15079]) ).
tcf(c_94543,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_15,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88588,c_15079]) ).
tcf(c_94546,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_88588,c_19682]) ).
tcf(c_94547,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_88588,c_19592]) ).
tcf(c_94553,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(sk_c11,identity) ) ),
inference(superposition,[status(thm)],[c_88588,c_19119]) ).
tcf(c_94564,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94541,c_103]) ).
tcf(c_94567,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_94542,c_16715,c_80982]) ).
tcf(c_94570,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(identity,multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94539,c_16750]) ).
tcf(c_94610,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88589,c_15079]) ).
tcf(c_94611,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),identity) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88589,c_15021]) ).
tcf(c_94612,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88589,c_105]) ).
tcf(c_94613,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88589,c_15079]) ).
tcf(c_94614,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_15,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88589,c_15079]) ).
tcf(c_94617,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(iPr_def_28,identity) ) ),
inference(superposition,[status(thm)],[c_88589,c_19682]) ).
tcf(c_94624,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(sk_c11,identity) ) ),
inference(superposition,[status(thm)],[c_88589,c_19119]) ).
tcf(c_94632,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94612,c_103]) ).
tcf(c_94635,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_94613,c_16715,c_80982]) ).
tcf(c_94638,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(identity,multiply(iPr_def_15,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94610,c_16750]) ).
tcf(c_94667,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88590]) ).
tcf(c_94683,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_88590]) ).
tcf(c_94684,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_88590]) ).
tcf(c_94691,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88590,c_15079]) ).
tcf(c_94692,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_88590,c_15021]) ).
tcf(c_94693,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88590,c_105]) ).
tcf(c_94694,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88590,c_15079]) ).
tcf(c_94695,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88590,c_15079]) ).
tcf(c_94697,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88590,c_38674]) ).
tcf(c_94698,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88590,c_37343]) ).
tcf(c_94700,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),sk_c8)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_88590,c_5997]) ).
tcf(c_94719,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94693,c_103]) ).
tcf(c_94722,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_94694,c_16715,c_81030]) ).
tcf(c_94725,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_94691,c_16750]) ).
tcf(c_94734,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_27,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6322,c_15079]) ).
tcf(c_94735,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),sk_c2) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6322,c_15021]) ).
tcf(c_94737,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,sk_c2)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6322,c_15079]) ).
tcf(c_94738,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,sk_c2) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6322,c_32418]) ).
tcf(c_94761,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_17),multiply(sk_c2,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_91560,c_15079]) ).
tcf(c_94762,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_17) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91560,c_15021]) ).
tcf(c_94764,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_17)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91560,c_15079]) ).
tcf(c_94765,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_28,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_91560,c_2663]) ).
tcf(c_94767,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_28,sk_c9) = multiply(iPr_def_28,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_94765,c_14472]) ).
tcf(c_94815,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c10,multiply(iPr_def_14,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_91561,c_15079]) ).
tcf(c_94816,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c10),iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91561,c_15021]) ).
tcf(c_94818,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,iPr_def_14)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_91561,c_15079]) ).
tcf(c_94820,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_14) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_91561,c_2660]) ).
tcf(c_94821,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_14) = multiply(iPr_def_24,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_91561,c_2658]) ).
tcf(c_94823,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_24,sk_c9) = multiply(iPr_def_24,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_94821,c_13590]) ).
tcf(c_94826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c9) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_94820,c_14102]) ).
tcf(c_94844,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72583,c_64051]) ).
tcf(c_94845,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72578,c_64051]) ).
tcf(c_94846,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_64051]) ).
tcf(c_94847,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_64051]) ).
tcf(c_94848,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_64051]) ).
tcf(c_94849,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_64051]) ).
tcf(c_94850,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_64051]) ).
tcf(c_94851,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_64051]) ).
tcf(c_94852,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_4899,c_64051]) ).
tcf(c_94853,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64051,c_15021]) ).
tcf(c_94854,plain,
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,identity) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64051,c_639]) ).
tcf(c_94855,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(identity,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_64051,c_104]) ).
tcf(c_94856,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,identity) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64051,c_638]) ).
tcf(c_94859,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c11,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_64051,c_63302]) ).
tcf(c_94860,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64051,c_64062]) ).
tcf(c_94862,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64051,c_63288]) ).
tcf(c_94863,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64051,c_63287]) ).
tcf(c_94864,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64051,c_63286]) ).
tcf(c_94868,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64051,c_63282]) ).
tcf(c_94869,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_26,identity) = identity ) ),
inference(superposition,[status(thm)],[c_64051,c_63307]) ).
tcf(c_94870,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c11,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64051,c_63146]) ).
tcf(c_94874,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64051,c_20375]) ).
tcf(c_94875,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(identity,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64051,c_20364]) ).
tcf(c_94887,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_94852,c_23243]) ).
tcf(c_94905,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_94845,c_23243]) ).
tcf(c_94909,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_94844,c_23243]) ).
tcf(c_94926,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(X0) != X0 )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_94856,c_16715,c_63307]) ).
tcf(c_94945,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72583,c_64052]) ).
tcf(c_94946,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72578,c_64052]) ).
tcf(c_94947,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_64052]) ).
tcf(c_94948,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_64052]) ).
tcf(c_94949,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_64052]) ).
tcf(c_94950,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_64052]) ).
tcf(c_94951,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_64052]) ).
tcf(c_94952,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_64052]) ).
tcf(c_94953,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_4899,c_64052]) ).
tcf(c_94954,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64052,c_15021]) ).
tcf(c_94955,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,identity) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64052,c_639]) ).
tcf(c_94956,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(identity,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_64052,c_104]) ).
tcf(c_94957,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,identity) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64052,c_638]) ).
tcf(c_94960,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c11,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_64052,c_63302]) ).
tcf(c_94961,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64052,c_64062]) ).
tcf(c_94963,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64052,c_63288]) ).
tcf(c_94964,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64052,c_63287]) ).
tcf(c_94965,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64052,c_63286]) ).
tcf(c_94969,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64052,c_63282]) ).
tcf(c_94970,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,identity) = identity ) ),
inference(superposition,[status(thm)],[c_64052,c_63307]) ).
tcf(c_94971,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c11,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64052,c_63146]) ).
tcf(c_94975,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64052,c_20375]) ).
tcf(c_94976,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(identity,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64052,c_20364]) ).
tcf(c_94988,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_94953,c_23243]) ).
tcf(c_95006,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_94946,c_23243]) ).
tcf(c_95010,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_94945,c_23243]) ).
tcf(c_95027,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(X0) != X0 )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_94957,c_16715,c_63307]) ).
tcf(c_95046,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_72583,c_64053]) ).
tcf(c_95048,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_64053]) ).
tcf(c_95049,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_25) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_64053]) ).
tcf(c_95050,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_64053]) ).
tcf(c_95051,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_64053]) ).
tcf(c_95052,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_64053]) ).
tcf(c_95053,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_64053]) ).
tcf(c_95054,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_4899,c_64053]) ).
tcf(c_95055,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64053,c_15021]) ).
tcf(c_95056,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_26,identity) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64053,c_639]) ).
tcf(c_95057,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_64053,c_104]) ).
tcf(c_95058,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,identity) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(iPr_def_26,inverse(iPr_def_26)) != sk_c11 )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64053,c_638]) ).
tcf(c_95061,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,multiply(identity,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_64053,c_63302]) ).
tcf(c_95062,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64053,c_64062]) ).
tcf(c_95064,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64053,c_63288]) ).
tcf(c_95071,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = identity ) ),
inference(superposition,[status(thm)],[c_64053,c_63307]) ).
tcf(c_95072,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c11,identity) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_64053,c_63146]) ).
tcf(c_95076,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c3,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_64053,c_20375]) ).
tcf(c_95077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,sk_c3) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64053,c_20364]) ).
tcf(c_95078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c4 = identity ) ),
inference(light_normalisation,[status(thm)],[c_95054,c_23243]) ).
tcf(c_95110,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_13
| ( sk_c11 != identity )
| ( inverse(X0) != X0 )
| ( inverse(inverse(X0)) != inverse(iPr_def_26) )
| ( multiply(inverse(iPr_def_26),sk_c10) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_95058,c_16715,c_63307]) ).
tcf(c_95132,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95078,c_89553]) ).
tcf(c_95143,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_28 )
| ( multiply(identity,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95078,c_33178]) ).
tcf(c_95147,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_95078,c_21898]) ).
tcf(c_95148,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_95078,c_21893]) ).
tcf(c_95149,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(identity,iPr_def_15) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95078,c_12169]) ).
tcf(c_95153,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,iPr_def_14) = multiply(iPr_def_24,sk_c9) ) ),
inference(superposition,[status(thm)],[c_95078,c_13590]) ).
tcf(c_95154,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c10,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_95078,c_2658]) ).
tcf(c_95155,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(identity,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95078,c_2294]) ).
tcf(c_95160,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(identity,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95078,c_1499]) ).
tcf(c_95161,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(identity,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_95078,c_1186]) ).
tcf(c_95162,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(identity,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_95078,c_2681]) ).
tcf(c_95163,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = identity ) ),
inference(superposition,[status(thm)],[c_95078,c_1209]) ).
tcf(c_95165,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_95078,c_631]) ).
tcf(c_95213,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88591]) ).
tcf(c_95229,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_676,c_88591]) ).
tcf(c_95230,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_673,c_88591]) ).
tcf(c_95237,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88591,c_15079]) ).
tcf(c_95238,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_88591,c_15021]) ).
tcf(c_95239,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88591,c_105]) ).
tcf(c_95240,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88591,c_15079]) ).
tcf(c_95241,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88591,c_15079]) ).
tcf(c_95243,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88591,c_21898]) ).
tcf(c_95255,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95239,c_103]) ).
tcf(c_95258,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_95240,c_16715,c_80980]) ).
tcf(c_95261,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95237,c_16750]) ).
tcf(c_95276,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_88592]) ).
tcf(c_95277,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_88592]) ).
tcf(c_95278,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_88592]) ).
tcf(c_95279,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_88592]) ).
tcf(c_95280,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_88592]) ).
tcf(c_95283,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88592]) ).
tcf(c_95284,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c4,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88592]) ).
tcf(c_95285,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88592]) ).
tcf(c_95286,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88592]) ).
tcf(c_95287,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88592]) ).
tcf(c_95288,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c3,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88592]) ).
tcf(c_95289,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88592]) ).
tcf(c_95291,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88592]) ).
tcf(c_95292,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88592]) ).
tcf(c_95293,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88592]) ).
tcf(c_95308,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_88592]) ).
tcf(c_95309,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_88592]) ).
tcf(c_95312,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_646,c_88592]) ).
tcf(c_95313,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_643,c_88592]) ).
tcf(c_95314,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88592,c_15079]) ).
tcf(c_95315,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_88592,c_15021]) ).
tcf(c_95316,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88592,c_105]) ).
tcf(c_95317,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88592,c_15079]) ).
tcf(c_95318,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88592,c_15079]) ).
tcf(c_95320,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88592,c_38674]) ).
tcf(c_95321,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88592,c_37343]) ).
tcf(c_95322,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88592,c_21381]) ).
tcf(c_95323,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),sk_c8)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_88592,c_5997]) ).
tcf(c_95367,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95316,c_103]) ).
tcf(c_95379,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c11,sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95292,c_19364]) ).
tcf(c_95383,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c4,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95280,c_88634]) ).
tcf(c_95396,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c8,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95276,c_88633]) ).
tcf(c_95400,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_95317,c_16715,c_81030]) ).
tcf(c_95403,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95314,c_16750]) ).
tcf(c_95417,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88593]) ).
tcf(c_95418,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c4,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88593]) ).
tcf(c_95419,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88593]) ).
tcf(c_95420,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88593]) ).
tcf(c_95421,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88593]) ).
tcf(c_95422,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c3,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88593]) ).
tcf(c_95423,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88593]) ).
tcf(c_95425,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88593]) ).
tcf(c_95426,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88593]) ).
tcf(c_95427,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88593]) ).
tcf(c_95442,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_666,c_88593]) ).
tcf(c_95443,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_663,c_88593]) ).
tcf(c_95446,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_646,c_88593]) ).
tcf(c_95447,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_643,c_88593]) ).
tcf(c_95448,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88593,c_15079]) ).
tcf(c_95449,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_88593,c_15021]) ).
tcf(c_95450,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88593,c_105]) ).
tcf(c_95451,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88593,c_15079]) ).
tcf(c_95452,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88593,c_15079]) ).
tcf(c_95454,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88593,c_21898]) ).
tcf(c_95488,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95450,c_103]) ).
tcf(c_95500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c11,sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95426,c_19364]) ).
tcf(c_95504,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_95451,c_16715,c_80980]) ).
tcf(c_95507,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95448,c_16750]) ).
tcf(c_95522,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_88594]) ).
tcf(c_95523,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_88594]) ).
tcf(c_95524,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_88594]) ).
tcf(c_95525,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_88594]) ).
tcf(c_95526,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_88594]) ).
tcf(c_95529,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88594]) ).
tcf(c_95530,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c4,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88594]) ).
tcf(c_95532,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88594]) ).
tcf(c_95533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88594]) ).
tcf(c_95534,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c3,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88594]) ).
tcf(c_95537,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88594]) ).
tcf(c_95538,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88594]) ).
tcf(c_95539,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88594]) ).
tcf(c_95558,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_646,c_88594]) ).
tcf(c_95559,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_643,c_88594]) ).
tcf(c_95560,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88594,c_15079]) ).
tcf(c_95561,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_88594,c_15021]) ).
tcf(c_95562,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88594,c_105]) ).
tcf(c_95563,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88594,c_15079]) ).
tcf(c_95564,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88594,c_15079]) ).
tcf(c_95566,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88594,c_38674]) ).
tcf(c_95567,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88594,c_37343]) ).
tcf(c_95568,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = identity ) ),
inference(superposition,[status(thm)],[c_88594,c_21381]) ).
tcf(c_95569,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),sk_c8)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_88594,c_5997]) ).
tcf(c_95606,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95562,c_103]) ).
tcf(c_95612,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c11,sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95538,c_19364]) ).
tcf(c_95616,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c4,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95526,c_88634]) ).
tcf(c_95629,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95522,c_88633]) ).
tcf(c_95633,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_95563,c_16715,c_81030]) ).
tcf(c_95636,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95560,c_16750]) ).
tcf(c_95680,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88595]) ).
tcf(c_95681,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c4,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88595]) ).
tcf(c_95683,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88595]) ).
tcf(c_95684,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88595]) ).
tcf(c_95685,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c3,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88595]) ).
tcf(c_95688,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88595]) ).
tcf(c_95689,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88595]) ).
tcf(c_95690,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c8)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88595]) ).
tcf(c_95709,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_646,c_88595]) ).
tcf(c_95710,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_643,c_88595]) ).
tcf(c_95711,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88595,c_15079]) ).
tcf(c_95712,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_88595,c_15021]) ).
tcf(c_95713,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88595,c_105]) ).
tcf(c_95714,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),sk_c8) ) ),
inference(superposition,[status(thm)],[c_88595,c_15079]) ).
tcf(c_95715,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_88595,c_15079]) ).
tcf(c_95717,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88595,c_21898]) ).
tcf(c_95744,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95713,c_103]) ).
tcf(c_95750,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,sk_c8)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95689,c_19364]) ).
tcf(c_95754,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_95714,c_16715,c_80980]) ).
tcf(c_95757,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),sk_c8),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95711,c_16750]) ).
tcf(c_95871,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_88617]) ).
tcf(c_95873,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_88617]) ).
tcf(c_95890,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88617]) ).
tcf(c_95891,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88617]) ).
tcf(c_95892,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88617]) ).
tcf(c_95893,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88617]) ).
tcf(c_95894,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88617]) ).
tcf(c_95895,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88617]) ).
tcf(c_95896,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88617]) ).
tcf(c_95897,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88617]) ).
tcf(c_95898,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88617]) ).
tcf(c_95899,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88617]) ).
tcf(c_95900,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88617]) ).
tcf(c_95904,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88617,c_15079]) ).
tcf(c_95905,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88617,c_15021]) ).
tcf(c_95906,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88617,c_105]) ).
tcf(c_95907,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88617,c_15079]) ).
tcf(c_95908,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_88617,c_15079]) ).
tcf(c_95909,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_88617,c_23941]) ).
tcf(c_95910,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88617,c_2660]) ).
tcf(c_95911,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88617,c_2658]) ).
tcf(c_95913,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_95905,c_88628]) ).
tcf(c_95954,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_95899,c_19364]) ).
tcf(c_95965,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_95904,c_16750]) ).
tcf(c_95991,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_88618]) ).
tcf(c_95993,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_88618]) ).
tcf(c_96010,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88618]) ).
tcf(c_96011,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88618]) ).
tcf(c_96012,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88618]) ).
tcf(c_96013,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88618]) ).
tcf(c_96014,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88618]) ).
tcf(c_96015,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88618]) ).
tcf(c_96016,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88618]) ).
tcf(c_96017,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88618]) ).
tcf(c_96018,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88618]) ).
tcf(c_96019,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88618]) ).
tcf(c_96020,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88618]) ).
tcf(c_96021,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88618,c_15079]) ).
tcf(c_96022,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88618,c_15021]) ).
tcf(c_96023,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88618,c_105]) ).
tcf(c_96024,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88618,c_15079]) ).
tcf(c_96025,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_88618,c_15079]) ).
tcf(c_96026,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_88618,c_23941]) ).
tcf(c_96027,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88618,c_2660]) ).
tcf(c_96028,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88618,c_2658]) ).
tcf(c_96030,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(light_normalisation,[status(thm)],[c_96022,c_88628]) ).
tcf(c_96071,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_96019,c_19364]) ).
tcf(c_96082,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_96021,c_16750]) ).
tcf(c_96201,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_88619]) ).
tcf(c_96227,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88619]) ).
tcf(c_96234,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88619,c_15079]) ).
tcf(c_96235,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88619,c_15021]) ).
tcf(c_96236,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88619,c_105]) ).
tcf(c_96237,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88619,c_15079]) ).
tcf(c_96238,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_88619,c_15079]) ).
tcf(c_96240,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88619,c_2660]) ).
tcf(c_96241,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88619,c_2658]) ).
tcf(c_96247,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_96235,c_88628]) ).
tcf(c_96256,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_96234,c_16750]) ).
tcf(c_96264,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29253,c_6387]) ).
tcf(c_96265,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29252,c_6387]) ).
tcf(c_96266,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29251,c_6387]) ).
tcf(c_96267,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29250,c_6387]) ).
tcf(c_96268,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29249,c_6387]) ).
tcf(c_96274,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c5) ) ),
inference(superposition,[status(thm)],[c_1210,c_6387]) ).
tcf(c_96275,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2680,c_6387]) ).
tcf(c_96276,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_16,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_5696,c_6387]) ).
tcf(c_96277,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_5730,c_6387]) ).
tcf(c_96291,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_21) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_16715,c_6387]) ).
tcf(c_96295,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(sk_c7,multiply(multiply(iPr_def_21,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6387,c_15079]) ).
tcf(c_96296,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6387,c_15021]) ).
tcf(c_96297,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6387,c_105]) ).
tcf(c_96298,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(iPr_def_21,X1) ) ),
inference(superposition,[status(thm)],[c_6387,c_15079]) ).
tcf(c_96299,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c7,iPr_def_21)),multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6387,c_15079]) ).
tcf(c_96300,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6387,c_2679]) ).
tcf(c_96303,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_96276,c_29283]) ).
tcf(c_96308,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_96300,c_5694]) ).
tcf(c_96318,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_22,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_96277,c_2661]) ).
tcf(c_96351,plain,
multiply(inverse(iPr_def_24),multiply(sk_c4,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_23268,c_80529]) ).
tcf(c_96353,plain,
multiply(inverse(iPr_def_20),multiply(sk_c8,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_628,c_80529]) ).
tcf(c_96354,plain,
multiply(inverse(sk_c10),multiply(identity,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_103,c_80529]) ).
tcf(c_96355,plain,
multiply(inverse(identity),multiply(inverse(sk_c10),iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_104,c_80529]) ).
tcf(c_96356,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c10))),multiply(multiply(X0,X1),iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_105,c_80529]) ).
tcf(c_96357,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c11,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52537,c_80529]) ).
tcf(c_96358,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2055,c_80529]) ).
tcf(c_96359,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1634,c_80529]) ).
tcf(c_96360,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1377,c_80529]) ).
tcf(c_96361,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1158,c_80529]) ).
tcf(c_96362,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_21,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1156,c_80529]) ).
tcf(c_96368,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c10)),multiply(sk_c10,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23941,c_80529]) ).
tcf(c_96369,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c10)),multiply(iPr_def_23,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76524,c_80529]) ).
tcf(c_96370,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c10)),multiply(iPr_def_26,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76523,c_80529]) ).
tcf(c_96371,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_26,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_38674,c_80529]) ).
tcf(c_96372,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_26,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_37343,c_80529]) ).
tcf(c_96373,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_26,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21381,c_80529]) ).
tcf(c_96374,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_24,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_74415,c_80529]) ).
tcf(c_96375,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_24,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24127,c_80529]) ).
tcf(c_96376,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_24,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24107,c_80529]) ).
tcf(c_96377,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_24,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24087,c_80529]) ).
tcf(c_96378,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_22,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_64389,c_80529]) ).
tcf(c_96379,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_22,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27213,c_80529]) ).
tcf(c_96380,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_22,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27059,c_80529]) ).
tcf(c_96381,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_22,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27017,c_80529]) ).
tcf(c_96382,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35960,c_80529]) ).
tcf(c_96383,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35915,c_80529]) ).
tcf(c_96384,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35886,c_80529]) ).
tcf(c_96385,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34810,c_80529]) ).
tcf(c_96386,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34772,c_80529]) ).
tcf(c_96387,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34706,c_80529]) ).
tcf(c_96388,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32875,c_80529]) ).
tcf(c_96389,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32821,c_80529]) ).
tcf(c_96390,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c10),multiply(iPr_def_28,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32683,c_80529]) ).
tcf(c_96391,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_23,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36947,c_80529]) ).
tcf(c_96392,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_25,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52106,c_80529]) ).
tcf(c_96393,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_15,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_50763,c_80529]) ).
tcf(c_96394,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_24),multiply(sk_c3,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_52413,c_80529]) ).
tcf(c_96431,plain,
multiply(inverse(multiply(identity,sk_c10)),iPr_def_14) = sk_c9,
inference(superposition,[status(thm)],[c_103,c_80529]) ).
tcf(c_96432,plain,
multiply(inverse(multiply(inverse(iPr_def_14),sk_c10)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_104,c_80529]) ).
tcf(c_96433,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,X1),sk_c10)),multiply(X0,multiply(X1,iPr_def_14))) = sk_c9,
inference(superposition,[status(thm)],[c_105,c_80529]) ).
tcf(c_96434,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,sk_c10)),multiply(iPr_def_14,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23941,c_80529]) ).
tcf(c_96435,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,sk_c10)),multiply(iPr_def_14,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76524,c_80529]) ).
tcf(c_96436,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c10)),multiply(iPr_def_14,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76523,c_80529]) ).
tcf(c_96437,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_38674,c_80529]) ).
tcf(c_96438,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_37343,c_80529]) ).
tcf(c_96439,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21381,c_80529]) ).
tcf(c_96440,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_91561,c_80529]) ).
tcf(c_96441,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_74415,c_80529]) ).
tcf(c_96442,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24127,c_80529]) ).
tcf(c_96443,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24107,c_80529]) ).
tcf(c_96444,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24087,c_80529]) ).
tcf(c_96445,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_64389,c_80529]) ).
tcf(c_96446,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27213,c_80529]) ).
tcf(c_96447,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27059,c_80529]) ).
tcf(c_96448,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27017,c_80529]) ).
tcf(c_96449,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35960,c_80529]) ).
tcf(c_96450,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35915,c_80529]) ).
tcf(c_96451,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35886,c_80529]) ).
tcf(c_96452,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34810,c_80529]) ).
tcf(c_96453,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34772,c_80529]) ).
tcf(c_96454,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34706,c_80529]) ).
tcf(c_96455,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32875,c_80529]) ).
tcf(c_96456,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32821,c_80529]) ).
tcf(c_96457,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c10)),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32683,c_80529]) ).
tcf(c_96458,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c10)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4912,c_80529]) ).
tcf(c_96459,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c10)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4660,c_80529]) ).
tcf(c_96460,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c10)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4485,c_80529]) ).
tcf(c_96461,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c10)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4353,c_80529]) ).
tcf(c_96462,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c10)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4206,c_80529]) ).
tcf(c_96463,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c10)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4081,c_80529]) ).
tcf(c_96464,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_57198,c_80529]) ).
tcf(c_96465,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26519,c_80529]) ).
tcf(c_96466,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22802,c_80529]) ).
tcf(c_96467,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20824,c_80529]) ).
tcf(c_96468,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10686,c_80529]) ).
tcf(c_96469,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10533,c_80529]) ).
tcf(c_96470,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4913,c_80529]) ).
tcf(c_96471,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4661,c_80529]) ).
tcf(c_96472,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4486,c_80529]) ).
tcf(c_96473,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4354,c_80529]) ).
tcf(c_96474,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4207,c_80529]) ).
tcf(c_96475,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c3,sk_c10)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4082,c_80529]) ).
tcf(c_96476,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c10)),sk_c2) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_6322,c_80529]) ).
tcf(c_96477,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_21,sk_c10)),multiply(iPr_def_20,sk_c9)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14218,c_80529]) ).
tcf(c_96478,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_21,sk_c10)),multiply(iPr_def_20,sk_c9)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14216,c_80529]) ).
tcf(c_96479,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_21,sk_c10)),multiply(iPr_def_20,sk_c9)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14214,c_80529]) ).
tcf(c_96480,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_21,sk_c10)),multiply(iPr_def_20,sk_c9)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14212,c_80529]) ).
tcf(c_96481,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_21,sk_c10)),multiply(iPr_def_20,sk_c9)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_14210,c_80529]) ).
tcf(c_96482,plain,
multiply(inverse(multiply(sk_c4,sk_c10)),multiply(iPr_def_24,sk_c9)) = sk_c9,
inference(superposition,[status(thm)],[c_13590,c_80529]) ).
tcf(c_96483,plain,
multiply(inverse(multiply(sk_c8,sk_c10)),multiply(iPr_def_20,sk_c9)) = sk_c9,
inference(superposition,[status(thm)],[c_14102,c_80529]) ).
tcf(c_96484,plain,
multiply(inverse(multiply(inverse(sk_c10),sk_c10)),sk_c9) = sk_c9,
inference(superposition,[status(thm)],[c_15074,c_80529]) ).
tcf(c_96485,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c2,sk_c10)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_91560,c_80529]) ).
tcf(c_96486,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c9),multiply(inverse(multiply(X0,sk_c10)),multiply(multiply(X0,iPr_def_14),X1))) = X1,
inference(superposition,[status(thm)],[c_80529,c_15079]) ).
tcf(c_96487,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c10))),sk_c9) = multiply(X0,iPr_def_14),
inference(superposition,[status(thm)],[c_80529,c_15021]) ).
tcf(c_96488,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c10)),multiply(multiply(X0,iPr_def_14),X1)) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_80529,c_105]) ).
tcf(c_96489,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c10)))),multiply(X0,sk_c9)) = multiply(X1,iPr_def_14),
inference(superposition,[status(thm)],[c_80529,c_15079]) ).
tcf(c_96490,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c10)),X0)),sk_c9) = iPr_def_14,
inference(superposition,[status(thm)],[c_80529,c_15079]) ).
tcf(c_96491,plain,
multiply(inverse(iPr_def_20),multiply(iPr_def_20,sk_c9)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_96353,c_14102]) ).
tcf(c_96492,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_24,sk_c9)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_96351,c_13590]) ).
tcf(c_96493,plain,
multiply(identity,sk_c9) = sk_c9,
inference(light_normalisation,[status(thm)],[c_96355,c_15074,c_16750]) ).
tcf(c_97044,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_15) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41547,c_64387]) ).
tcf(c_97047,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_64387,c_15021]) ).
tcf(c_97048,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_22,iPr_def_22) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64387,c_639]) ).
tcf(c_97049,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_64387,c_104]) ).
tcf(c_97050,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_64387,c_638]) ).
tcf(c_97056,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_64387,c_34393]) ).
tcf(c_97057,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_64387,c_1667]) ).
tcf(c_97058,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_22 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_64387,c_1045]) ).
tcf(c_97105,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67603,c_15021]) ).
tcf(c_97106,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_14) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_67603,c_639]) ).
tcf(c_97108,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_67603,c_638]) ).
tcf(c_97155,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_67606,c_15021]) ).
tcf(c_97156,plain,
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_17) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_67606,c_639]) ).
tcf(c_97158,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_67606,c_638]) ).
tcf(c_97204,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69396,c_15021]) ).
tcf(c_97205,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_14) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_69396,c_639]) ).
tcf(c_97207,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_69396,c_638]) ).
tcf(c_97260,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_88620]) ).
tcf(c_97286,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_88620]) ).
tcf(c_97290,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88620,c_15079]) ).
tcf(c_97291,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88620,c_15021]) ).
tcf(c_97292,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88620,c_105]) ).
tcf(c_97293,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88620,c_15079]) ).
tcf(c_97294,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_88620,c_15079]) ).
tcf(c_97296,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88620,c_2660]) ).
tcf(c_97297,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88620,c_2658]) ).
tcf(c_97303,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(light_normalisation,[status(thm)],[c_97291,c_88628]) ).
tcf(c_97312,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_97290,c_16750]) ).
tcf(c_97340,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_88621]) ).
tcf(c_97357,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88621]) ).
tcf(c_97358,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88621]) ).
tcf(c_97359,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88621]) ).
tcf(c_97360,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88621]) ).
tcf(c_97361,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88621]) ).
tcf(c_97362,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88621]) ).
tcf(c_97363,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88621]) ).
tcf(c_97365,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88621]) ).
tcf(c_97366,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88621]) ).
tcf(c_97367,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88621]) ).
tcf(c_97371,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88621,c_15079]) ).
tcf(c_97372,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88621,c_15021]) ).
tcf(c_97373,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88621,c_105]) ).
tcf(c_97374,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88621,c_15079]) ).
tcf(c_97375,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_88621,c_15079]) ).
tcf(c_97376,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_88621,c_23941]) ).
tcf(c_97377,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88621,c_2660]) ).
tcf(c_97378,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88621,c_2658]) ).
tcf(c_97382,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_97372,c_88628]) ).
tcf(c_97420,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_97366,c_19364]) ).
tcf(c_97425,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_97371,c_16750]) ).
tcf(c_97453,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_88622]) ).
tcf(c_97470,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88622]) ).
tcf(c_97471,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88622]) ).
tcf(c_97472,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88622]) ).
tcf(c_97473,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88622]) ).
tcf(c_97474,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88622]) ).
tcf(c_97475,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88622]) ).
tcf(c_97476,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88622]) ).
tcf(c_97478,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88622]) ).
tcf(c_97479,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88622]) ).
tcf(c_97480,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88622]) ).
tcf(c_97481,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88622,c_15079]) ).
tcf(c_97482,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88622,c_15021]) ).
tcf(c_97483,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88622,c_105]) ).
tcf(c_97484,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88622,c_15079]) ).
tcf(c_97485,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_88622,c_15079]) ).
tcf(c_97486,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_88622,c_23941]) ).
tcf(c_97487,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88622,c_2660]) ).
tcf(c_97488,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88622,c_2658]) ).
tcf(c_97492,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(light_normalisation,[status(thm)],[c_97482,c_88628]) ).
tcf(c_97530,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_97479,c_19364]) ).
tcf(c_97535,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_97481,c_16750]) ).
tcf(c_97544,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_89249,c_88623]) ).
tcf(c_97545,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_35002,c_88623]) ).
tcf(c_97546,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34838,c_88623]) ).
tcf(c_97547,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_32439,c_88623]) ).
tcf(c_97548,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_32437,c_88623]) ).
tcf(c_97550,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_21917,c_88623]) ).
tcf(c_97556,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_12031,c_88623]) ).
tcf(c_97566,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_2289,c_88623]) ).
tcf(c_97580,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88623]) ).
tcf(c_97581,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88623]) ).
tcf(c_97582,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88623]) ).
tcf(c_97583,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88623]) ).
tcf(c_97584,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88623]) ).
tcf(c_97585,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88623]) ).
tcf(c_97586,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88623]) ).
tcf(c_97588,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88623]) ).
tcf(c_97589,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88623]) ).
tcf(c_97590,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88623]) ).
tcf(c_97594,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88623,c_15079]) ).
tcf(c_97595,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88623,c_15021]) ).
tcf(c_97596,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88623,c_105]) ).
tcf(c_97597,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88623,c_15079]) ).
tcf(c_97598,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_88623,c_15079]) ).
tcf(c_97599,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_88623,c_23941]) ).
tcf(c_97600,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88623,c_2660]) ).
tcf(c_97601,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88623,c_2658]) ).
tcf(c_97603,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_97595,c_88628]) ).
tcf(c_97641,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_97589,c_19364]) ).
tcf(c_97670,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_97594,c_16750]) ).
tcf(c_97820,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_89249,c_88624]) ).
tcf(c_97821,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_35002,c_88624]) ).
tcf(c_97822,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34838,c_88624]) ).
tcf(c_97823,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_32439,c_88624]) ).
tcf(c_97824,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_32437,c_88624]) ).
tcf(c_97826,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_21917,c_88624]) ).
tcf(c_97832,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_12031,c_88624]) ).
tcf(c_97842,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_2289,c_88624]) ).
tcf(c_97856,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88624]) ).
tcf(c_97857,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88624]) ).
tcf(c_97858,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_88624]) ).
tcf(c_97859,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88624]) ).
tcf(c_97860,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88624]) ).
tcf(c_97861,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88624]) ).
tcf(c_97862,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_88624]) ).
tcf(c_97864,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88624]) ).
tcf(c_97865,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88624]) ).
tcf(c_97866,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88624]) ).
tcf(c_97867,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88624,c_15079]) ).
tcf(c_97868,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88624,c_15021]) ).
tcf(c_97869,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88624,c_105]) ).
tcf(c_97870,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88624,c_15079]) ).
tcf(c_97871,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_88624,c_15079]) ).
tcf(c_97872,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_88624,c_23941]) ).
tcf(c_97873,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88624,c_2660]) ).
tcf(c_97874,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88624,c_2658]) ).
tcf(c_97876,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(light_normalisation,[status(thm)],[c_97868,c_88628]) ).
tcf(c_97914,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_97865,c_19364]) ).
tcf(c_97943,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_97867,c_16750]) ).
tcf(c_97988,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88625]) ).
tcf(c_97989,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88625]) ).
tcf(c_97991,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88625]) ).
tcf(c_97992,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88625]) ).
tcf(c_97993,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88625]) ).
tcf(c_97996,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88625]) ).
tcf(c_97997,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88625]) ).
tcf(c_97998,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88625]) ).
tcf(c_98002,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88625,c_15079]) ).
tcf(c_98003,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88625,c_15021]) ).
tcf(c_98004,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88625,c_105]) ).
tcf(c_98005,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_88625,c_15079]) ).
tcf(c_98006,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_88625,c_15079]) ).
tcf(c_98007,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_88625,c_23941]) ).
tcf(c_98008,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88625,c_2660]) ).
tcf(c_98009,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88625,c_2658]) ).
tcf(c_98015,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(light_normalisation,[status(thm)],[c_98003,c_88628]) ).
tcf(c_98041,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_97997,c_19364]) ).
tcf(c_98046,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98002,c_16750]) ).
tcf(c_98091,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_88626]) ).
tcf(c_98092,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_88626]) ).
tcf(c_98094,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_88626]) ).
tcf(c_98095,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_88626]) ).
tcf(c_98096,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_88626]) ).
tcf(c_98099,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_88626]) ).
tcf(c_98100,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_88626]) ).
tcf(c_98101,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_88626]) ).
tcf(c_98102,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_88626,c_15079]) ).
tcf(c_98103,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c10),identity) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88626,c_15021]) ).
tcf(c_98104,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_88626,c_105]) ).
tcf(c_98105,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c10)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_88626,c_15079]) ).
tcf(c_98106,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_88626,c_15079]) ).
tcf(c_98107,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_88626,c_23941]) ).
tcf(c_98108,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c8,identity) ) ),
inference(superposition,[status(thm)],[c_88626,c_2660]) ).
tcf(c_98109,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_88626,c_2658]) ).
tcf(c_98115,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),sk_c8) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(light_normalisation,[status(thm)],[c_98103,c_88628]) ).
tcf(c_98141,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_98100,c_19364]) ).
tcf(c_98146,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c10,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98102,c_16750]) ).
tcf(c_98160,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_92098]) ).
tcf(c_98161,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_92098]) ).
tcf(c_98162,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_92098]) ).
tcf(c_98163,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_92098]) ).
tcf(c_98164,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_92098]) ).
tcf(c_98165,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_92098]) ).
tcf(c_98167,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_92098]) ).
tcf(c_98168,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_92098]) ).
tcf(c_98169,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_92098]) ).
tcf(c_98170,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_92098]) ).
tcf(c_98171,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_92098]) ).
tcf(c_98172,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_92098]) ).
tcf(c_98173,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_92098]) ).
tcf(c_98174,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_92098]) ).
tcf(c_98175,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_92098]) ).
tcf(c_98176,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_92098]) ).
tcf(c_98177,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_92098]) ).
tcf(c_98181,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_92098,c_15079]) ).
tcf(c_98182,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_92098,c_15021]) ).
tcf(c_98183,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_92098,c_105]) ).
tcf(c_98184,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_92098,c_15079]) ).
tcf(c_98185,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_92098,c_15079]) ).
tcf(c_98187,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_92098,c_38674]) ).
tcf(c_98188,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_92098,c_37343]) ).
tcf(c_98189,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_92098,c_21381]) ).
tcf(c_98190,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_92098,c_5997]) ).
tcf(c_98233,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98183,c_103]) ).
tcf(c_98239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_98176,c_19364]) ).
tcf(c_98261,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_98184,c_16715,c_81030]) ).
tcf(c_98264,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_98181,c_16750]) ).
tcf(c_98597,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29253,c_6418]) ).
tcf(c_98598,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29252,c_6418]) ).
tcf(c_98599,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29251,c_6418]) ).
tcf(c_98600,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29250,c_6418]) ).
tcf(c_98601,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29249,c_6418]) ).
tcf(c_98607,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1212,c_6418]) ).
tcf(c_98608,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1912,c_6418]) ).
tcf(c_98609,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1910,c_6418]) ).
tcf(c_98610,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1908,c_6418]) ).
tcf(c_98611,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1906,c_6418]) ).
tcf(c_98612,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1904,c_6418]) ).
tcf(c_98613,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1977,c_6418]) ).
tcf(c_98614,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1911,c_6418]) ).
tcf(c_98615,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1909,c_6418]) ).
tcf(c_98616,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1907,c_6418]) ).
tcf(c_98617,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1905,c_6418]) ).
tcf(c_98618,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2678,c_6418]) ).
tcf(c_98619,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5628,c_6418]) ).
tcf(c_98620,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5626,c_6418]) ).
tcf(c_98621,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5624,c_6418]) ).
tcf(c_98622,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5622,c_6418]) ).
tcf(c_98623,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5620,c_6418]) ).
tcf(c_98624,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5629,c_6418]) ).
tcf(c_98625,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5627,c_6418]) ).
tcf(c_98626,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5625,c_6418]) ).
tcf(c_98627,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5623,c_6418]) ).
tcf(c_98628,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5621,c_6418]) ).
tcf(c_98637,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_16715,c_6418]) ).
tcf(c_98638,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6418,c_15079]) ).
tcf(c_98639,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6418,c_15021]) ).
tcf(c_98640,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6418,c_105]) ).
tcf(c_98641,plain,
! [X0: $i,X1: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_6418,c_15079]) ).
tcf(c_98642,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(sk_c7,iPr_def_18)),multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6418,c_15079]) ).
tcf(c_98643,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6418,c_2679]) ).
tcf(c_98652,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_98643,c_5694]) ).
tcf(c_98748,plain,
inverse(multiply(inverse(iPr_def_14),sk_c10)) = sk_c9,
inference(demodulation,[status(thm)],[c_96432,c_16715]) ).
tcf(c_98749,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(multiply(iPr_def_14,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69396,c_98748]) ).
tcf(c_98750,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(multiply(iPr_def_14,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67603,c_98748]) ).
tcf(c_98751,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_23,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_53428,c_98748]) ).
tcf(c_98752,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_49974,c_98748]) ).
tcf(c_98753,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_25,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_47346,c_98748]) ).
tcf(c_98754,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(iPr_def_14,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36857,c_98748]) ).
tcf(c_98755,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(sk_c3,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36758,c_98748]) ).
tcf(c_98756,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(sk_c4,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23245,c_98748]) ).
tcf(c_98757,plain,
( ( identity = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26521,c_98748]) ).
tcf(c_98758,plain,
( ( identity = iPr_def_24 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22804,c_98748]) ).
tcf(c_98759,plain,
( ( identity = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98748]) ).
tcf(c_98760,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10688,c_98748]) ).
tcf(c_98761,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10535,c_98748]) ).
tcf(c_98762,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4915,c_98748]) ).
tcf(c_98763,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98748]) ).
tcf(c_98764,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98748]) ).
tcf(c_98765,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98748]) ).
tcf(c_98766,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4209,c_98748]) ).
tcf(c_98767,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(multiply(iPr_def_15,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4084,c_98748]) ).
tcf(c_98768,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_89249,c_98748]) ).
tcf(c_98769,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35002,c_98748]) ).
tcf(c_98770,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34838,c_98748]) ).
tcf(c_98771,plain,
( ( identity = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32439,c_98748]) ).
tcf(c_98772,plain,
( ( identity = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32437,c_98748]) ).
tcf(c_98773,plain,
( ( identity = iPr_def_22 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26118,c_98748]) ).
tcf(c_98774,plain,
( ( identity = iPr_def_24 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21917,c_98748]) ).
tcf(c_98776,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12536,c_98748]) ).
tcf(c_98780,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12031,c_98748]) ).
tcf(c_98785,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10254,c_98748]) ).
tcf(c_98787,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_8900,c_98748]) ).
tcf(c_98790,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2289,c_98748]) ).
tcf(c_98791,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2051,c_98748]) ).
tcf(c_98792,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1978,c_98748]) ).
tcf(c_98793,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_691,c_98748]) ).
tcf(c_98794,plain,
( ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_690,c_98748]) ).
tcf(c_98795,plain,
( ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_688,c_98748]) ).
tcf(c_98796,plain,
( ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_687,c_98748]) ).
tcf(c_98797,plain,
( ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_685,c_98748]) ).
tcf(c_98798,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_681,c_98748]) ).
tcf(c_98799,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_678,c_98748]) ).
tcf(c_98800,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_671,c_98748]) ).
tcf(c_98801,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_668,c_98748]) ).
tcf(c_98802,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_651,c_98748]) ).
tcf(c_98803,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_648,c_98748]) ).
tcf(c_98804,plain,
! [X0: $i] : multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = X0,
inference(superposition,[status(thm)],[c_98748,c_15021]) ).
tcf(c_98805,plain,
( ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),sk_c10),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),sk_c10)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98748,c_639]) ).
tcf(c_98806,plain,
multiply(sk_c9,multiply(inverse(iPr_def_14),sk_c10)) = identity,
inference(superposition,[status(thm)],[c_98748,c_104]) ).
tcf(c_98807,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),sk_c10)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),sk_c10)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),sk_c10),inverse(multiply(inverse(iPr_def_14),sk_c10))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98748,c_638]) ).
tcf(c_98808,plain,
! [X0: $i] : multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_98748,c_15079]) ).
tcf(c_98809,plain,
multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_98748,c_80529]) ).
tcf(c_98832,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_24) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_98756,c_23268]) ).
tcf(c_98899,plain,
( ~ iPr_def_12
| ( multiply(sk_c9,sk_c9) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),sk_c10),sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_98805,c_98748]) ).
tcf(c_98903,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c9 )
| ( multiply(multiply(inverse(iPr_def_14),sk_c10),sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_98807,c_98748]) ).
tcf(c_99187,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_98806]) ).
tcf(c_99188,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_689,c_98806]) ).
tcf(c_99189,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_679,c_98806]) ).
tcf(c_99190,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_669,c_98806]) ).
tcf(c_99191,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_659,c_98806]) ).
tcf(c_99192,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_649,c_98806]) ).
tcf(c_99193,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_69396,c_98806]) ).
tcf(c_99194,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_67603,c_98806]) ).
tcf(c_99195,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_23,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_98806]) ).
tcf(c_99196,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_98806]) ).
tcf(c_99197,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_25,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_98806]) ).
tcf(c_99198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_98806]) ).
tcf(c_99199,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(sk_c3,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_98806]) ).
tcf(c_99200,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(sk_c4,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_98806]) ).
tcf(c_99201,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_26521,c_98806]) ).
tcf(c_99202,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_22804,c_98806]) ).
tcf(c_99203,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_98806]) ).
tcf(c_99204,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_10688,c_98806]) ).
tcf(c_99205,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_10535,c_98806]) ).
tcf(c_99206,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4915,c_98806]) ).
tcf(c_99207,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_98806]) ).
tcf(c_99208,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_98806]) ).
tcf(c_99209,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_98806]) ).
tcf(c_99210,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4209,c_98806]) ).
tcf(c_99211,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4084,c_98806]) ).
tcf(c_99212,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_89249,c_98806]) ).
tcf(c_99213,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_35002,c_98806]) ).
tcf(c_99214,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_34838,c_98806]) ).
tcf(c_99215,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_32439,c_98806]) ).
tcf(c_99216,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_32437,c_98806]) ).
tcf(c_99217,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_26118,c_98806]) ).
tcf(c_99218,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_21917,c_98806]) ).
tcf(c_99220,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12536,c_98806]) ).
tcf(c_99224,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_12031,c_98806]) ).
tcf(c_99229,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_98806]) ).
tcf(c_99231,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_98806]) ).
tcf(c_99234,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_2289,c_98806]) ).
tcf(c_99235,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_2051,c_98806]) ).
tcf(c_99236,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_1978,c_98806]) ).
tcf(c_99237,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_691,c_98806]) ).
tcf(c_99238,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_690,c_98806]) ).
tcf(c_99239,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_688,c_98806]) ).
tcf(c_99240,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_98806]) ).
tcf(c_99241,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_685,c_98806]) ).
tcf(c_99242,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_681,c_98806]) ).
tcf(c_99243,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_98806]) ).
tcf(c_99244,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_671,c_98806]) ).
tcf(c_99245,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_98806]) ).
tcf(c_99246,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_651,c_98806]) ).
tcf(c_99247,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_98806]) ).
tcf(c_99248,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0,
inference(superposition,[status(thm)],[c_98806,c_15079]) ).
tcf(c_99249,plain,
multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),sk_c10),
inference(superposition,[status(thm)],[c_98806,c_15021]) ).
tcf(c_99250,plain,
! [X0: $i] : multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_98806,c_105]) ).
tcf(c_99251,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),sk_c10),
inference(superposition,[status(thm)],[c_98806,c_15079]) ).
tcf(c_99252,plain,
multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = sk_c10,
inference(superposition,[status(thm)],[c_98806,c_15079]) ).
tcf(c_99253,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_98806,c_5968]) ).
tcf(c_99254,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_98806,c_4296]) ).
tcf(c_99255,plain,
multiply(iPr_def_17,multiply(inverse(iPr_def_14),sk_c10)) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_98806,c_2664]) ).
tcf(c_99256,plain,
multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = multiply(sk_c10,identity),
inference(superposition,[status(thm)],[c_98806,c_2662]) ).
tcf(c_99279,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c9,iPr_def_24) = identity ) ),
inference(light_normalisation,[status(thm)],[c_99200,c_23268]) ).
tcf(c_99325,plain,
( ( sk_c9 = identity )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_99231,c_98809]) ).
tcf(c_99328,plain,
( ( sk_c9 = identity )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_99229,c_98809]) ).
tcf(c_99333,plain,
( ( sk_c9 = identity )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_99220,c_98809]) ).
tcf(c_99362,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c9)),X0) = multiply(inverse(iPr_def_14),sk_c10),
inference(light_normalisation,[status(thm)],[c_99251,c_16715]) ).
tcf(c_99622,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_99325,c_98806]) ).
tcf(c_99630,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_99325,c_14219]) ).
tcf(c_99632,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_99325,c_14215]) ).
tcf(c_99633,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_99325,c_14213]) ).
tcf(c_99635,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99325,c_5968]) ).
tcf(c_99639,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99325,c_4296]) ).
tcf(c_99640,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_12610]) ).
tcf(c_99641,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_99325,c_19947]) ).
tcf(c_99642,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99325,c_19924]) ).
tcf(c_99644,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_10432]) ).
tcf(c_99645,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_99325,c_18224]) ).
tcf(c_99646,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99325,c_18201]) ).
tcf(c_99647,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_9116]) ).
tcf(c_99648,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,identity) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_99325,c_17920]) ).
tcf(c_99649,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99325,c_17881]) ).
tcf(c_99655,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_99325,c_2664]) ).
tcf(c_99656,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99325,c_2662]) ).
tcf(c_99662,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_1811]) ).
tcf(c_99663,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_1711]) ).
tcf(c_99664,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_1501]) ).
tcf(c_99665,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_1430]) ).
tcf(c_99671,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_1077]) ).
tcf(c_99672,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_1039]) ).
tcf(c_99676,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99325,c_659]) ).
tcf(c_99677,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99325,c_625]) ).
tcf(c_99678,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99325,c_622]) ).
tcf(c_99707,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_99656,c_103]) ).
tcf(c_99710,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_99655,c_103]) ).
tcf(c_99855,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_99328,c_98806]) ).
tcf(c_99866,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_99328,c_14213]) ).
tcf(c_99868,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99328,c_5968]) ).
tcf(c_99872,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99328,c_4296]) ).
tcf(c_99873,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99328,c_12610]) ).
tcf(c_99875,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99328,c_19924]) ).
tcf(c_99877,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99328,c_10432]) ).
tcf(c_99879,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99328,c_18201]) ).
tcf(c_99888,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_99328,c_2664]) ).
tcf(c_99889,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99328,c_2662]) ).
tcf(c_99895,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99328,c_1811]) ).
tcf(c_99896,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99328,c_1711]) ).
tcf(c_99909,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99328,c_659]) ).
tcf(c_99910,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99328,c_625]) ).
tcf(c_99911,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99328,c_622]) ).
tcf(c_99928,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_99889,c_103]) ).
tcf(c_99931,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_99888,c_103]) ).
tcf(c_100031,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_98806]) ).
tcf(c_100039,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_14) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_99333,c_14219]) ).
tcf(c_100044,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99333,c_5968]) ).
tcf(c_100048,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99333,c_4296]) ).
tcf(c_100049,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99333,c_12610]) ).
tcf(c_100051,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_99333,c_19924]) ).
tcf(c_100064,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,multiply(identity,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_99333,c_2664]) ).
tcf(c_100065,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(identity,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_99333,c_2662]) ).
tcf(c_100080,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99333,c_1077]) ).
tcf(c_100081,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99333,c_1039]) ).
tcf(c_100085,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99333,c_659]) ).
tcf(c_100086,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99333,c_625]) ).
tcf(c_100087,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,identity) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_99333,c_622]) ).
tcf(c_100105,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_100064,c_103]) ).
tcf(c_100288,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_69399,c_15021]) ).
tcf(c_100289,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_17) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_69399,c_639]) ).
tcf(c_100291,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_69399,c_638]) ).
tcf(c_100713,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_23,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_53428,c_98793]) ).
tcf(c_100714,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_49974,c_98793]) ).
tcf(c_100715,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_25,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_47346,c_98793]) ).
tcf(c_100716,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36857,c_98793]) ).
tcf(c_100717,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c3,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36758,c_98793]) ).
tcf(c_100718,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c4,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23245,c_98793]) ).
tcf(c_100721,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98793]) ).
tcf(c_100725,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98793]) ).
tcf(c_100726,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98793]) ).
tcf(c_100727,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98793]) ).
tcf(c_100732,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_20)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_57538,c_98793]) ).
tcf(c_100733,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_56276,c_98793]) ).
tcf(c_100734,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_56264,c_98793]) ).
tcf(c_100735,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_22)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27210,c_98793]) ).
tcf(c_100736,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_24)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24123,c_98793]) ).
tcf(c_100737,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12691,c_98793]) ).
tcf(c_100739,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98793,c_15021]) ).
tcf(c_100740,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98793,c_639]) ).
tcf(c_100742,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),inverse(multiply(inverse(iPr_def_14),iPr_def_26))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98793,c_638]) ).
tcf(c_100743,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98793,c_15079]) ).
tcf(c_100769,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_100715,c_623,c_5985]) ).
tcf(c_100883,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69396,c_98794]) ).
tcf(c_100884,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67603,c_98794]) ).
tcf(c_100891,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26521,c_98794]) ).
tcf(c_100892,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22804,c_98794]) ).
tcf(c_100893,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98794]) ).
tcf(c_100894,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10688,c_98794]) ).
tcf(c_100895,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10535,c_98794]) ).
tcf(c_100896,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4915,c_98794]) ).
tcf(c_100897,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98794]) ).
tcf(c_100898,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98794]) ).
tcf(c_100899,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98794]) ).
tcf(c_100900,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4209,c_98794]) ).
tcf(c_100901,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4084,c_98794]) ).
tcf(c_100902,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98794,c_15021]) ).
tcf(c_100903,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_15),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_15)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98794,c_639]) ).
tcf(c_100905,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_15)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_15),inverse(multiply(inverse(iPr_def_14),iPr_def_15))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98794,c_638]) ).
tcf(c_100906,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98794,c_15079]) ).
tcf(c_101062,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_23,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_53428,c_98795]) ).
tcf(c_101063,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_49974,c_98795]) ).
tcf(c_101064,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_25,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_47346,c_98795]) ).
tcf(c_101065,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36857,c_98795]) ).
tcf(c_101066,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c3,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36758,c_98795]) ).
tcf(c_101067,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(sk_c4,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23245,c_98795]) ).
tcf(c_101070,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98795]) ).
tcf(c_101074,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98795]) ).
tcf(c_101075,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98795]) ).
tcf(c_101076,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98795]) ).
tcf(c_101083,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98795,c_15021]) ).
tcf(c_101084,plain,
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98795,c_639]) ).
tcf(c_101086,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),inverse(multiply(inverse(iPr_def_14),iPr_def_23))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98795,c_638]) ).
tcf(c_101087,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98795,c_15079]) ).
tcf(c_101104,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = identity )
| ( sk_c10 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_101067,c_16750,c_21893]) ).
tcf(c_101184,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69396,c_98796]) ).
tcf(c_101185,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67603,c_98796]) ).
tcf(c_101192,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26521,c_98796]) ).
tcf(c_101193,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22804,c_98796]) ).
tcf(c_101194,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98796]) ).
tcf(c_101195,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10688,c_98796]) ).
tcf(c_101196,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10535,c_98796]) ).
tcf(c_101197,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4915,c_98796]) ).
tcf(c_101198,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98796]) ).
tcf(c_101199,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98796]) ).
tcf(c_101200,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98796]) ).
tcf(c_101201,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4209,c_98796]) ).
tcf(c_101202,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4084,c_98796]) ).
tcf(c_101203,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98796,c_15021]) ).
tcf(c_101204,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_15),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_15)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98796,c_639]) ).
tcf(c_101206,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_15)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_15),inverse(multiply(inverse(iPr_def_14),iPr_def_15))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98796,c_638]) ).
tcf(c_101207,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98796,c_15079]) ).
tcf(c_101413,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69396,c_98797]) ).
tcf(c_101414,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67603,c_98797]) ).
tcf(c_101421,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26521,c_98797]) ).
tcf(c_101422,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_22804,c_98797]) ).
tcf(c_101423,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98797]) ).
tcf(c_101424,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10688,c_98797]) ).
tcf(c_101425,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_10535,c_98797]) ).
tcf(c_101426,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4915,c_98797]) ).
tcf(c_101427,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98797]) ).
tcf(c_101428,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98797]) ).
tcf(c_101429,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98797]) ).
tcf(c_101430,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4209,c_98797]) ).
tcf(c_101431,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4084,c_98797]) ).
tcf(c_101432,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98797,c_15021]) ).
tcf(c_101433,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_15),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_15)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98797,c_639]) ).
tcf(c_101435,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_15)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_15),inverse(multiply(inverse(iPr_def_14),iPr_def_15))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98797,c_638]) ).
tcf(c_101436,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98797,c_15079]) ).
tcf(c_101547,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98798,c_15021]) ).
tcf(c_101548,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98798,c_639]) ).
tcf(c_101550,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),inverse(multiply(inverse(iPr_def_14),iPr_def_26))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98798,c_638]) ).
tcf(c_101551,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98798,c_15079]) ).
tcf(c_101749,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98799,c_15021]) ).
tcf(c_101750,plain,
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98799,c_639]) ).
tcf(c_101752,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),inverse(multiply(inverse(iPr_def_14),iPr_def_23))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98799,c_638]) ).
tcf(c_101753,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98799,c_15079]) ).
tcf(c_101777,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_23,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_53428,c_98800]) ).
tcf(c_101778,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_49974,c_98800]) ).
tcf(c_101779,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_25,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_47346,c_98800]) ).
tcf(c_101780,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36857,c_98800]) ).
tcf(c_101781,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c3,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36758,c_98800]) ).
tcf(c_101782,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c4,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23245,c_98800]) ).
tcf(c_101785,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98800]) ).
tcf(c_101789,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98800]) ).
tcf(c_101790,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98800]) ).
tcf(c_101791,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98800]) ).
tcf(c_101796,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_20)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_57538,c_98800]) ).
tcf(c_101797,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_56276,c_98800]) ).
tcf(c_101798,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_56264,c_98800]) ).
tcf(c_101799,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_22)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27210,c_98800]) ).
tcf(c_101800,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_24)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24123,c_98800]) ).
tcf(c_101803,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98800,c_15021]) ).
tcf(c_101804,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98800,c_639]) ).
tcf(c_101806,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),inverse(multiply(inverse(iPr_def_14),iPr_def_26))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98800,c_638]) ).
tcf(c_101807,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98800,c_15079]) ).
tcf(c_101833,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_101779,c_623,c_5985]) ).
tcf(c_101875,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29253,c_6430]) ).
tcf(c_101878,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29250,c_6430]) ).
tcf(c_101885,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c5) ) ),
inference(superposition,[status(thm)],[c_1210,c_6430]) ).
tcf(c_101886,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2680,c_6430]) ).
tcf(c_101887,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_16,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_5696,c_6430]) ).
tcf(c_101888,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_5730,c_6430]) ).
tcf(c_101902,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_21) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_16715,c_6430]) ).
tcf(c_101906,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(sk_c7,multiply(multiply(iPr_def_21,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6430,c_15079]) ).
tcf(c_101907,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6430,c_15021]) ).
tcf(c_101908,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6430,c_105]) ).
tcf(c_101909,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(iPr_def_21,X1) ) ),
inference(superposition,[status(thm)],[c_6430,c_15079]) ).
tcf(c_101910,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c7,iPr_def_21)),multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6430,c_15079]) ).
tcf(c_101911,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6430,c_2679]) ).
tcf(c_101914,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_101887,c_29283]) ).
tcf(c_101919,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_101911,c_5694]) ).
tcf(c_101929,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_22,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_101888,c_2661]) ).
tcf(c_101962,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_97049,c_15079]) ).
tcf(c_101963,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_97049,c_15021]) ).
tcf(c_101964,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_97049,c_105]) ).
tcf(c_101965,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,identity)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_97049,c_15079]) ).
tcf(c_101969,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_97049,c_6021]) ).
tcf(c_101970,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_97049,c_6015]) ).
tcf(c_101972,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_97049,c_5730]) ).
tcf(c_101984,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_101965,c_16715]) ).
tcf(c_101987,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_22,multiply(iPr_def_22,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_101962,c_16750]) ).
tcf(c_101992,plain,
( ( sk_c2 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_99677,c_16715]) ).
tcf(c_102012,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_101992,c_91560]) ).
tcf(c_102015,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101992,c_15076]) ).
tcf(c_102016,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_101992,c_2664]) ).
tcf(c_102017,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_101992,c_2663]) ).
tcf(c_102019,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_101992,c_1722]) ).
tcf(c_102022,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_101992,c_1450]) ).
tcf(c_102027,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_101992,c_1149]) ).
tcf(c_102028,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_101992,c_1127]) ).
tcf(c_102033,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_101992,c_636]) ).
tcf(c_102034,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_17,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_101992,c_625]) ).
tcf(c_102039,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_102033,c_14472]) ).
tcf(c_102055,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,multiply(sk_c9,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_102017,c_14544]) ).
tcf(c_102066,plain,
( ( sk_c2 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_99910,c_16715]) ).
tcf(c_102089,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102066,c_15076]) ).
tcf(c_102090,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_102066,c_2664]) ).
tcf(c_102091,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_102066,c_2663]) ).
tcf(c_102093,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_102066,c_1722]) ).
tcf(c_102102,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102066,c_1127]) ).
tcf(c_102107,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102066,c_636]) ).
tcf(c_102108,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_102066,c_625]) ).
tcf(c_102113,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_102107,c_14472]) ).
tcf(c_102123,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,multiply(sk_c9,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_102091,c_14544]) ).
tcf(c_102140,plain,
( ( iPr_def_14 = iPr_def_15 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,sk_c7) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_70455,c_639]) ).
tcf(c_102142,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ~ iPr_def_13
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_70455,c_638]) ).
tcf(c_102169,plain,
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(iPr_def_16,sk_c7) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_70493,c_639]) ).
tcf(c_102171,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_70493,c_638]) ).
tcf(c_102263,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72325,c_15021]) ).
tcf(c_102264,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_14) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_72325,c_639]) ).
tcf(c_102266,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_72325,c_638]) ).
tcf(c_102270,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72325,c_98797]) ).
tcf(c_102271,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72325,c_98796]) ).
tcf(c_102273,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72325,c_98794]) ).
tcf(c_102275,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_72325,c_98806]) ).
tcf(c_102276,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(multiply(iPr_def_14,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72325,c_98748]) ).
tcf(c_102336,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_72328,c_15021]) ).
tcf(c_102337,plain,
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_17) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_72328,c_639]) ).
tcf(c_102339,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_72328,c_638]) ).
tcf(c_102372,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_23,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_53428,c_98801]) ).
tcf(c_102373,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_49974,c_98801]) ).
tcf(c_102374,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_25,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_47346,c_98801]) ).
tcf(c_102375,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36857,c_98801]) ).
tcf(c_102376,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c3,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36758,c_98801]) ).
tcf(c_102377,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(sk_c4,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23245,c_98801]) ).
tcf(c_102380,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_20826,c_98801]) ).
tcf(c_102384,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4663,c_98801]) ).
tcf(c_102385,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4488,c_98801]) ).
tcf(c_102386,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_4356,c_98801]) ).
tcf(c_102393,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98801,c_15021]) ).
tcf(c_102394,plain,
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98801,c_639]) ).
tcf(c_102396,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),inverse(multiply(inverse(iPr_def_14),iPr_def_23))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98801,c_638]) ).
tcf(c_102397,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98801,c_15079]) ).
tcf(c_102450,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_23,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_53428,c_98802]) ).
tcf(c_102451,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_49974,c_98802]) ).
tcf(c_102452,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_25,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_47346,c_98802]) ).
tcf(c_102453,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36857,c_98802]) ).
tcf(c_102454,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c3,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36758,c_98802]) ).
tcf(c_102455,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c4,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23245,c_98802]) ).
tcf(c_102469,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_20)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_57538,c_98802]) ).
tcf(c_102470,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_25)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_56276,c_98802]) ).
tcf(c_102471,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_56264,c_98802]) ).
tcf(c_102472,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_22)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27210,c_98802]) ).
tcf(c_102473,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_24)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24123,c_98802]) ).
tcf(c_102476,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98802,c_15021]) ).
tcf(c_102477,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98802,c_639]) ).
tcf(c_102479,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_26)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_26)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_26),inverse(multiply(inverse(iPr_def_14),iPr_def_26))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98802,c_638]) ).
tcf(c_102480,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_26,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98802,c_15079]) ).
tcf(c_102494,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c9 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_102452,c_623,c_5985]) ).
tcf(c_102539,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_23,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_53428,c_98803]) ).
tcf(c_102540,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_15,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_49974,c_98803]) ).
tcf(c_102541,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_25,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_47346,c_98803]) ).
tcf(c_102542,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36857,c_98803]) ).
tcf(c_102543,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c3,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_36758,c_98803]) ).
tcf(c_102544,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(sk_c4,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23245,c_98803]) ).
tcf(c_102560,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_98803,c_15021]) ).
tcf(c_102561,plain,
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98803,c_639]) ).
tcf(c_102563,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_23)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_14),iPr_def_23)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_14),iPr_def_23),inverse(multiply(inverse(iPr_def_14),iPr_def_23))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_98803,c_638]) ).
tcf(c_102564,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_98803,c_15079]) ).
tcf(c_102614,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_92099]) ).
tcf(c_102615,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_92099]) ).
tcf(c_102616,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_92099]) ).
tcf(c_102617,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_92099]) ).
tcf(c_102618,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_92099]) ).
tcf(c_102619,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_92099]) ).
tcf(c_102621,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_92099]) ).
tcf(c_102622,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_92099]) ).
tcf(c_102623,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_92099]) ).
tcf(c_102624,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_92099]) ).
tcf(c_102625,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_92099]) ).
tcf(c_102626,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_92099]) ).
tcf(c_102627,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_92099]) ).
tcf(c_102628,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_92099]) ).
tcf(c_102629,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_92099]) ).
tcf(c_102630,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_92099]) ).
tcf(c_102631,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_92099]) ).
tcf(c_102632,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_92099,c_15079]) ).
tcf(c_102633,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_92099,c_15021]) ).
tcf(c_102634,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_92099,c_105]) ).
tcf(c_102635,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_92099,c_15079]) ).
tcf(c_102636,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_92099,c_15079]) ).
tcf(c_102638,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_92099,c_38674]) ).
tcf(c_102639,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_92099,c_37343]) ).
tcf(c_102640,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_92099,c_21381]) ).
tcf(c_102641,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_92099,c_5997]) ).
tcf(c_102684,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_102634,c_103]) ).
tcf(c_102690,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_26,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_102630,c_19364]) ).
tcf(c_102712,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_102635,c_16715,c_81030]) ).
tcf(c_102715,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_102632,c_16750]) ).
tcf(c_102899,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_94415]) ).
tcf(c_102900,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_94415]) ).
tcf(c_102901,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_94415]) ).
tcf(c_102902,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_94415]) ).
tcf(c_102903,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_94415]) ).
tcf(c_102904,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_94415]) ).
tcf(c_102905,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_94415]) ).
tcf(c_102906,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_94415]) ).
tcf(c_102907,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_94415]) ).
tcf(c_102908,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_94415]) ).
tcf(c_102909,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_94415]) ).
tcf(c_102913,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94415,c_15079]) ).
tcf(c_102914,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_94415,c_15021]) ).
tcf(c_102915,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_94415,c_105]) ).
tcf(c_102916,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_94415,c_15079]) ).
tcf(c_102917,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94415,c_15079]) ).
tcf(c_102919,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_94415,c_21898]) ).
tcf(c_102952,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_102915,c_103]) ).
tcf(c_102958,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_102908,c_19364]) ).
tcf(c_102962,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_102916,c_16715,c_80980]) ).
tcf(c_102965,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_102913,c_16750]) ).
tcf(c_102974,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29253,c_6442]) ).
tcf(c_102977,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_18,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_29250,c_6442]) ).
tcf(c_102984,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,sk_c6) ) ),
inference(superposition,[status(thm)],[c_1212,c_6442]) ).
tcf(c_102985,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1912,c_6442]) ).
tcf(c_102988,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_1906,c_6442]) ).
tcf(c_102991,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1911,c_6442]) ).
tcf(c_102994,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_1905,c_6442]) ).
tcf(c_102995,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_2678,c_6442]) ).
tcf(c_102996,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5628,c_6442]) ).
tcf(c_102999,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5622,c_6442]) ).
tcf(c_103001,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5629,c_6442]) ).
tcf(c_103004,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_5623,c_6442]) ).
tcf(c_103014,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_16715,c_6442]) ).
tcf(c_103015,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6442,c_15079]) ).
tcf(c_103016,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6442,c_15021]) ).
tcf(c_103017,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6442,c_105]) ).
tcf(c_103018,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(iPr_def_18,X1) ) ),
inference(superposition,[status(thm)],[c_6442,c_15079]) ).
tcf(c_103019,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c7,iPr_def_18)),multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6442,c_15079]) ).
tcf(c_103020,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_19,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6442,c_2679]) ).
tcf(c_103029,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_103020,c_5694]) ).
tcf(c_103075,plain,
( ( sk_c2 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_100086,c_16715]) ).
tcf(c_103095,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103075,c_91560]) ).
tcf(c_103098,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_17),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_103075,c_15076]) ).
tcf(c_103099,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,multiply(sk_c9,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_103075,c_2664]) ).
tcf(c_103100,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_103075,c_2663]) ).
tcf(c_103110,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,iPr_def_24) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103075,c_1149]) ).
tcf(c_103111,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103075,c_1127]) ).
tcf(c_103116,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_103075,c_636]) ).
tcf(c_103117,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,sk_c9) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103075,c_625]) ).
tcf(c_103122,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_103116,c_14472]) ).
tcf(c_103132,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(sk_c9,X0)) = multiply(iPr_def_28,X0) ) ),
inference(light_normalisation,[status(thm)],[c_103100,c_14544]) ).
tcf(c_103148,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99333,c_102034]) ).
tcf(c_103149,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99328,c_102034]) ).
tcf(c_103150,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99325,c_102034]) ).
tcf(c_103157,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_17,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_102034,c_15079]) ).
tcf(c_103160,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102034,c_15079]) ).
tcf(c_103163,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102034,c_6011]) ).
tcf(c_103164,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102034,c_6010]) ).
tcf(c_103165,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102034,c_6009]) ).
tcf(c_103189,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75026,c_74413]) ).
tcf(c_103190,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_75025,c_74413]) ).
tcf(c_103194,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_17 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_24946,c_74413]) ).
tcf(c_103196,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_74413,c_15021]) ).
tcf(c_103197,plain,
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_12
| ( multiply(iPr_def_24,iPr_def_24) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_74413,c_639]) ).
tcf(c_103198,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(superposition,[status(thm)],[c_74413,c_104]) ).
tcf(c_103199,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_74413,c_638]) ).
tcf(c_103246,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76199,c_15021]) ).
tcf(c_103247,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_14) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76199,c_639]) ).
tcf(c_103249,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76199,c_638]) ).
tcf(c_103252,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98801]) ).
tcf(c_103253,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98800]) ).
tcf(c_103256,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98797]) ).
tcf(c_103257,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98796]) ).
tcf(c_103258,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98795]) ).
tcf(c_103259,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98794]) ).
tcf(c_103260,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98793]) ).
tcf(c_103261,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_98806]) ).
tcf(c_103262,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76199,c_98748]) ).
tcf(c_103271,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76199,c_10688]) ).
tcf(c_103272,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76199,c_10535]) ).
tcf(c_103274,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76199,c_4663]) ).
tcf(c_103276,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76199,c_4356]) ).
tcf(c_103340,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_103274,c_63288]) ).
tcf(c_103341,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_103274,c_63282]) ).
tcf(c_103342,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_20) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_103274,c_63130]) ).
tcf(c_103349,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_103274,c_20535]) ).
tcf(c_103350,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_20) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_103274,c_20601]) ).
tcf(c_103351,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_103274,c_20530]) ).
tcf(c_103354,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_103274,c_5997]) ).
tcf(c_103356,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_103274,c_5985]) ).
tcf(c_103357,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_103274,c_2682]) ).
tcf(c_103358,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_103274,c_1208]) ).
tcf(c_103410,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76202,c_15021]) ).
tcf(c_103411,plain,
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_17) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76202,c_639]) ).
tcf(c_103413,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76202,c_638]) ).
tcf(c_103420,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_76202,c_3170]) ).
tcf(c_103422,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_76202,c_2937]) ).
tcf(c_103453,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_94416]) ).
tcf(c_103454,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_94416]) ).
tcf(c_103455,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_94416]) ).
tcf(c_103456,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_94416]) ).
tcf(c_103457,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_94416]) ).
tcf(c_103458,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_94416]) ).
tcf(c_103459,plain,
( ( identity = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_94416]) ).
tcf(c_103460,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_94416]) ).
tcf(c_103461,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_94416]) ).
tcf(c_103462,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_94416]) ).
tcf(c_103463,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_94416]) ).
tcf(c_103464,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94416,c_15079]) ).
tcf(c_103465,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_94416,c_15021]) ).
tcf(c_103466,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_94416,c_105]) ).
tcf(c_103467,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_94416,c_15079]) ).
tcf(c_103468,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94416,c_15079]) ).
tcf(c_103470,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_94416,c_21898]) ).
tcf(c_103503,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103466,c_103]) ).
tcf(c_103509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_103462,c_19364]) ).
tcf(c_103513,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_103467,c_16715,c_80980]) ).
tcf(c_103516,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103464,c_16750]) ).
tcf(c_103613,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_94683]) ).
tcf(c_103620,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94683,c_15079]) ).
tcf(c_103621,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_94683,c_15021]) ).
tcf(c_103622,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_94683,c_105]) ).
tcf(c_103623,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_94683,c_15079]) ).
tcf(c_103624,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_94683,c_15079]) ).
tcf(c_103626,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_94683,c_38674]) ).
tcf(c_103627,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_94683,c_37343]) ).
tcf(c_103629,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_94683,c_5997]) ).
tcf(c_103644,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103622,c_103]) ).
tcf(c_103647,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_103623,c_16715,c_81030]) ).
tcf(c_103650,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103620,c_16750]) ).
tcf(c_103695,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_94684]) ).
tcf(c_103699,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_94684,c_15079]) ).
tcf(c_103700,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_94684,c_15021]) ).
tcf(c_103701,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_94684,c_105]) ).
tcf(c_103702,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_94684,c_15079]) ).
tcf(c_103703,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_94684,c_15079]) ).
tcf(c_103705,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_94684,c_38674]) ).
tcf(c_103706,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_94684,c_37343]) ).
tcf(c_103708,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_94684,c_5997]) ).
tcf(c_103723,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103701,c_103]) ).
tcf(c_103726,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_103702,c_16715,c_81030]) ).
tcf(c_103729,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103699,c_16750]) ).
tcf(c_103864,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_95229]) ).
tcf(c_103871,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95229,c_15079]) ).
tcf(c_103872,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_95229,c_15021]) ).
tcf(c_103873,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95229,c_105]) ).
tcf(c_103874,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_95229,c_15079]) ).
tcf(c_103875,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95229,c_15079]) ).
tcf(c_103877,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_95229,c_21898]) ).
tcf(c_103885,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103873,c_103]) ).
tcf(c_103888,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_103874,c_16715,c_80980]) ).
tcf(c_103891,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_103871,c_16750]) ).
tcf(c_104010,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1597,c_95230]) ).
tcf(c_104014,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95230,c_15079]) ).
tcf(c_104015,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_95230,c_15021]) ).
tcf(c_104016,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95230,c_105]) ).
tcf(c_104017,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_95230,c_15079]) ).
tcf(c_104018,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95230,c_15079]) ).
tcf(c_104020,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_95230,c_21898]) ).
tcf(c_104028,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104016,c_103]) ).
tcf(c_104031,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_104017,c_16715,c_80980]) ).
tcf(c_104034,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104014,c_16750]) ).
tcf(c_104049,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_95308]) ).
tcf(c_104050,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_95308]) ).
tcf(c_104051,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_95308]) ).
tcf(c_104052,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_95308]) ).
tcf(c_104053,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_95308]) ).
tcf(c_104056,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95308]) ).
tcf(c_104057,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95308]) ).
tcf(c_104058,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_95308]) ).
tcf(c_104059,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95308]) ).
tcf(c_104060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95308]) ).
tcf(c_104061,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95308]) ).
tcf(c_104062,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_95308]) ).
tcf(c_104064,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95308]) ).
tcf(c_104065,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95308]) ).
tcf(c_104066,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95308]) ).
tcf(c_104070,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95308,c_15079]) ).
tcf(c_104071,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_95308,c_15021]) ).
tcf(c_104072,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95308,c_105]) ).
tcf(c_104073,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_95308,c_15079]) ).
tcf(c_104074,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95308,c_15079]) ).
tcf(c_104076,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_95308,c_38674]) ).
tcf(c_104077,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_95308,c_37343]) ).
tcf(c_104078,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_95308,c_21381]) ).
tcf(c_104079,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_95308,c_5997]) ).
tcf(c_104119,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104072,c_103]) ).
tcf(c_104125,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_104065,c_19364]) ).
tcf(c_104144,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_104073,c_16715,c_81030]) ).
tcf(c_104147,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104070,c_16750]) ).
tcf(c_104232,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_95309]) ).
tcf(c_104233,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_95309]) ).
tcf(c_104234,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_95309]) ).
tcf(c_104235,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_95309]) ).
tcf(c_104236,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_95309]) ).
tcf(c_104239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95309]) ).
tcf(c_104240,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95309]) ).
tcf(c_104241,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_95309]) ).
tcf(c_104242,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95309]) ).
tcf(c_104243,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95309]) ).
tcf(c_104244,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95309]) ).
tcf(c_104245,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_95309]) ).
tcf(c_104247,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95309]) ).
tcf(c_104248,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95309]) ).
tcf(c_104249,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95309]) ).
tcf(c_104250,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95309,c_15079]) ).
tcf(c_104251,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_95309,c_15021]) ).
tcf(c_104252,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95309,c_105]) ).
tcf(c_104253,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_95309,c_15079]) ).
tcf(c_104254,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95309,c_15079]) ).
tcf(c_104256,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_95309,c_38674]) ).
tcf(c_104257,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_95309,c_37343]) ).
tcf(c_104258,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_95309,c_21381]) ).
tcf(c_104259,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_95309,c_5997]) ).
tcf(c_104299,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104252,c_103]) ).
tcf(c_104305,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_104248,c_19364]) ).
tcf(c_104324,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_104253,c_16715,c_81030]) ).
tcf(c_104327,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104250,c_16750]) ).
tcf(c_104341,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95442]) ).
tcf(c_104342,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95442]) ).
tcf(c_104343,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_95442]) ).
tcf(c_104344,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95442]) ).
tcf(c_104345,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95442]) ).
tcf(c_104346,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95442]) ).
tcf(c_104347,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_95442]) ).
tcf(c_104349,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95442]) ).
tcf(c_104350,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95442]) ).
tcf(c_104351,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95442]) ).
tcf(c_104355,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95442,c_15079]) ).
tcf(c_104356,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_95442,c_15021]) ).
tcf(c_104357,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95442,c_105]) ).
tcf(c_104358,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_95442,c_15079]) ).
tcf(c_104359,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95442,c_15079]) ).
tcf(c_104361,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_95442,c_21898]) ).
tcf(c_104391,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104357,c_103]) ).
tcf(c_104397,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_104350,c_19364]) ).
tcf(c_104401,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_104358,c_16715,c_80980]) ).
tcf(c_104404,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_104355,c_16750]) ).
tcf(c_104413,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,identity) = multiply(iPr_def_27,sk_c9) ) ),
inference(superposition,[status(thm)],[c_16715,c_6470]) ).
tcf(c_104414,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_98806,c_6470]) ).
tcf(c_104424,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(iPr_def_27,multiply(multiply(sk_c9,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6470,c_15079]) ).
tcf(c_104425,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6470,c_15021]) ).
tcf(c_104426,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_17,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6470,c_105]) ).
tcf(c_104427,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(iPr_def_17,X1))) = multiply(sk_c9,X1) ) ),
inference(superposition,[status(thm)],[c_6470,c_15079]) ).
tcf(c_104428,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6470,c_15079]) ).
tcf(c_104429,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6470,c_32418]) ).
tcf(c_104432,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_28,multiply(sk_c9,X0)) = multiply(sk_c9,X0) ) ),
inference(light_normalisation,[status(thm)],[c_104429,c_14544]) ).
tcf(c_104438,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_27,identity) ) ),
inference(light_normalisation,[status(thm)],[c_104414,c_99255]) ).
tcf(c_104476,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_102039]) ).
tcf(c_104502,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99333,c_102039]) ).
tcf(c_104503,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99328,c_102039]) ).
tcf(c_104504,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99325,c_102039]) ).
tcf(c_104505,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_91302,c_102039]) ).
tcf(c_104507,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_679,c_102039]) ).
tcf(c_104508,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_669,c_102039]) ).
tcf(c_104510,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_649,c_102039]) ).
tcf(c_104511,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_28),multiply(iPr_def_28,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_102039,c_15079]) ).
tcf(c_104512,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102039,c_15021]) ).
tcf(c_104514,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_28)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102039,c_15079]) ).
tcf(c_104516,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_35960]) ).
tcf(c_104517,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_35915]) ).
tcf(c_104519,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_35886]) ).
tcf(c_104521,plain,
( ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_34810]) ).
tcf(c_104522,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_34772]) ).
tcf(c_104523,plain,
( ( identity = iPr_def_26 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_34706]) ).
tcf(c_104524,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_32875]) ).
tcf(c_104525,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_32821]) ).
tcf(c_104526,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_102039,c_32683]) ).
tcf(c_104530,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,sk_c9) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_102039,c_5599]) ).
tcf(c_104732,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99333,c_102108]) ).
tcf(c_104733,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99328,c_102108]) ).
tcf(c_104741,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_17,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_102108,c_15079]) ).
tcf(c_104744,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102108,c_15079]) ).
tcf(c_104770,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_102113]) ).
tcf(c_104796,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99333,c_102113]) ).
tcf(c_104797,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99328,c_102113]) ).
tcf(c_104801,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_679,c_102113]) ).
tcf(c_104805,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_28),multiply(iPr_def_28,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_102113,c_15079]) ).
tcf(c_104806,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102113,c_15021]) ).
tcf(c_104808,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_28)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102113,c_15079]) ).
tcf(c_104810,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_35960]) ).
tcf(c_104811,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_35915]) ).
tcf(c_104813,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_35886]) ).
tcf(c_104815,plain,
( ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_34810]) ).
tcf(c_104816,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_34772]) ).
tcf(c_104817,plain,
( ( identity = iPr_def_26 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_34706]) ).
tcf(c_104818,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_32875]) ).
tcf(c_104819,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_32821]) ).
tcf(c_104820,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_102113,c_32683]) ).
tcf(c_104824,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,sk_c9) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_102113,c_5599]) ).
tcf(c_104871,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_99333,c_103117]) ).
tcf(c_104880,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_17,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_103117,c_15079]) ).
tcf(c_104883,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_103117,c_15079]) ).
tcf(c_104907,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_103420,c_63288]) ).
tcf(c_104908,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_20,inverse(iPr_def_26)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_103420,c_63282]) ).
tcf(c_104909,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_20) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_103420,c_63130]) ).
tcf(c_104910,plain,
( ( iPr_def_20 = iPr_def_24 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103420,c_58334]) ).
tcf(c_104915,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103420,c_47889]) ).
tcf(c_104916,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_20,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_103420,c_20535]) ).
tcf(c_104917,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_20) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_103420,c_20601]) ).
tcf(c_104918,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_103420,c_20530]) ).
tcf(c_104921,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_103420,c_5997]) ).
tcf(c_104923,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_103420,c_5985]) ).
tcf(c_104924,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_103420,c_2682]) ).
tcf(c_104925,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_103420,c_1208]) ).
tcf(c_105006,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76653,c_15021]) ).
tcf(c_105007,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_14) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76653,c_639]) ).
tcf(c_105009,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76653,c_638]) ).
tcf(c_105012,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98801]) ).
tcf(c_105013,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98800]) ).
tcf(c_105016,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98797]) ).
tcf(c_105017,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98796]) ).
tcf(c_105018,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98795]) ).
tcf(c_105019,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98794]) ).
tcf(c_105020,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98793]) ).
tcf(c_105021,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_98806]) ).
tcf(c_105022,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(multiply(iPr_def_14,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76653,c_98748]) ).
tcf(c_105031,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76653,c_10688]) ).
tcf(c_105032,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76653,c_10535]) ).
tcf(c_105036,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76653,c_4356]) ).
tcf(c_105208,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_105036,c_97049]) ).
tcf(c_105209,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_105036,c_64387]) ).
tcf(c_105212,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105036,c_64389]) ).
tcf(c_105218,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_105036,c_40958]) ).
tcf(c_105219,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_105036,c_40891]) ).
tcf(c_105226,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_105036,c_27057]) ).
tcf(c_105227,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_105036,c_27015]) ).
tcf(c_105232,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105036,c_27059]) ).
tcf(c_105235,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105036,c_27017]) ).
tcf(c_105239,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_105036,c_5730]) ).
tcf(c_105245,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_105036,c_5696]) ).
tcf(c_105327,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76656,c_15021]) ).
tcf(c_105328,plain,
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_17) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76656,c_639]) ).
tcf(c_105330,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76656,c_638]) ).
tcf(c_105339,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_76656,c_2937]) ).
tcf(c_105371,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_104508]) ).
tcf(c_105397,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_75026,c_104508]) ).
tcf(c_105398,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_75025,c_104508]) ).
tcf(c_105399,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_60178,c_104508]) ).
tcf(c_105400,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_58244,c_104508]) ).
tcf(c_105401,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_27207,c_104508]) ).
tcf(c_105402,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_24946,c_104508]) ).
tcf(c_105404,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_28),multiply(iPr_def_28,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_104508,c_15079]) ).
tcf(c_105405,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104508,c_15021]) ).
tcf(c_105406,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_28,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_104508,c_105]) ).
tcf(c_105407,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104508,c_15079]) ).
tcf(c_105409,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_104508,c_35960]) ).
tcf(c_105410,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_104508,c_35915]) ).
tcf(c_105412,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_104508,c_35886]) ).
tcf(c_105416,plain,
( ( iPr_def_24 = iPr_def_28 )
| ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_104508,c_34706]) ).
tcf(c_105423,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_104508,c_5599]) ).
tcf(c_105426,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_24) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_105423,c_5304]) ).
tcf(c_105559,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_104801]) ).
tcf(c_105585,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_75026,c_104801]) ).
tcf(c_105586,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_75025,c_104801]) ).
tcf(c_105592,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_28),multiply(iPr_def_28,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_104801,c_15079]) ).
tcf(c_105593,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104801,c_15021]) ).
tcf(c_105594,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_28,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_104801,c_105]) ).
tcf(c_105595,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_104801,c_15079]) ).
tcf(c_105611,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_104801,c_5599]) ).
tcf(c_105614,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_24) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_105611,c_5304]) ).
tcf(c_105655,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95443]) ).
tcf(c_105656,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95443]) ).
tcf(c_105657,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_49975,c_95443]) ).
tcf(c_105658,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95443]) ).
tcf(c_105659,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95443]) ).
tcf(c_105660,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95443]) ).
tcf(c_105661,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_34027,c_95443]) ).
tcf(c_105663,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95443]) ).
tcf(c_105664,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95443]) ).
tcf(c_105665,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95443]) ).
tcf(c_105666,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95443,c_15079]) ).
tcf(c_105667,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_95443,c_15021]) ).
tcf(c_105668,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95443,c_105]) ).
tcf(c_105669,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_95443,c_15079]) ).
tcf(c_105670,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95443,c_15079]) ).
tcf(c_105672,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_95443,c_21898]) ).
tcf(c_105702,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_105668,c_103]) ).
tcf(c_105708,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_105664,c_19364]) ).
tcf(c_105712,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_105669,c_16715,c_80980]) ).
tcf(c_105715,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_105666,c_16750]) ).
tcf(c_105822,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_95558]) ).
tcf(c_105823,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_95558]) ).
tcf(c_105824,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_95558]) ).
tcf(c_105825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_95558]) ).
tcf(c_105826,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_95558]) ).
tcf(c_105829,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95558]) ).
tcf(c_105830,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95558]) ).
tcf(c_105832,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95558]) ).
tcf(c_105833,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95558]) ).
tcf(c_105834,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95558]) ).
tcf(c_105837,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95558]) ).
tcf(c_105838,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95558]) ).
tcf(c_105839,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95558]) ).
tcf(c_105843,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95558,c_15079]) ).
tcf(c_105844,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_95558,c_15021]) ).
tcf(c_105845,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95558,c_105]) ).
tcf(c_105846,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_95558,c_15079]) ).
tcf(c_105847,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95558,c_15079]) ).
tcf(c_105849,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_95558,c_38674]) ).
tcf(c_105850,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_95558,c_37343]) ).
tcf(c_105851,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_95558,c_21381]) ).
tcf(c_105852,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_21)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_95558,c_5997]) ).
tcf(c_105885,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_105845,c_103]) ).
tcf(c_105891,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_105838,c_19364]) ).
tcf(c_105910,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_105846,c_16715,c_81030]) ).
tcf(c_105913,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_105843,c_16750]) ).
tcf(c_106444,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_95559]) ).
tcf(c_106445,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_25,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_95559]) ).
tcf(c_106446,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_95559]) ).
tcf(c_106447,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_95559]) ).
tcf(c_106448,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_20),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_95559]) ).
tcf(c_106451,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95559]) ).
tcf(c_106452,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95559]) ).
tcf(c_106454,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95559]) ).
tcf(c_106455,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95559]) ).
tcf(c_106456,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95559]) ).
tcf(c_106459,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95559]) ).
tcf(c_106460,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95559]) ).
tcf(c_106461,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95559]) ).
tcf(c_106462,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95559,c_15079]) ).
tcf(c_106463,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_26),identity) ) ),
inference(superposition,[status(thm)],[c_95559,c_15021]) ).
tcf(c_106464,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95559,c_105]) ).
tcf(c_106465,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_95559,c_15079]) ).
tcf(c_106466,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95559,c_15079]) ).
tcf(c_106468,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_95559,c_38674]) ).
tcf(c_106469,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_95559,c_37343]) ).
tcf(c_106470,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_95559,c_21381]) ).
tcf(c_106471,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c11,multiply(inverse(iPr_def_20),iPr_def_18)) = multiply(iPr_def_25,identity) ) ),
inference(superposition,[status(thm)],[c_95559,c_5997]) ).
tcf(c_106504,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106464,c_103]) ).
tcf(c_106510,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_26,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_106460,c_19364]) ).
tcf(c_106529,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = inverse(iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_106465,c_16715,c_81030]) ).
tcf(c_106532,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_26,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106462,c_16750]) ).
tcf(c_106694,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95709]) ).
tcf(c_106695,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c4,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95709]) ).
tcf(c_106697,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95709]) ).
tcf(c_106698,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95709]) ).
tcf(c_106699,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c3,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95709]) ).
tcf(c_106702,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95709]) ).
tcf(c_106703,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95709]) ).
tcf(c_106704,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_21)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95709]) ).
tcf(c_106708,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95709,c_15079]) ).
tcf(c_106709,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_95709,c_15021]) ).
tcf(c_106710,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95709,c_105]) ).
tcf(c_106711,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_95709,c_15079]) ).
tcf(c_106712,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_95709,c_15079]) ).
tcf(c_106714,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_95709,c_21898]) ).
tcf(c_106737,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106710,c_103]) ).
tcf(c_106743,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,iPr_def_21)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_106703,c_19364]) ).
tcf(c_106747,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_21) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_106711,c_16715,c_80980]) ).
tcf(c_106750,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_21),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106708,c_16750]) ).
tcf(c_106764,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_23,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_53429,c_95710]) ).
tcf(c_106765,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c4,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_50672,c_95710]) ).
tcf(c_106767,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_25,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_47347,c_95710]) ).
tcf(c_106768,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_20,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41057,c_95710]) ).
tcf(c_106769,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c3,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_20609,c_95710]) ).
tcf(c_106772,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(iPr_def_15,iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_1046,c_95710]) ).
tcf(c_106773,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_15),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_41730,c_95710]) ).
tcf(c_106774,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_18)) = identity ) ),
inference(superposition,[status(thm)],[c_28473,c_95710]) ).
tcf(c_106775,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_95710,c_15079]) ).
tcf(c_106776,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(inverse(iPr_def_23),identity) ) ),
inference(superposition,[status(thm)],[c_95710,c_15021]) ).
tcf(c_106777,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_95710,c_105]) ).
tcf(c_106778,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),multiply(X0,identity)) = multiply(inverse(iPr_def_20),iPr_def_18) ) ),
inference(superposition,[status(thm)],[c_95710,c_15079]) ).
tcf(c_106779,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,inverse(iPr_def_20))),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_95710,c_15079]) ).
tcf(c_106781,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = multiply(sk_c4,identity) ) ),
inference(superposition,[status(thm)],[c_95710,c_21898]) ).
tcf(c_106804,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106777,c_103]) ).
tcf(c_106810,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(sk_c11,iPr_def_18)) = identity ) ),
inference(light_normalisation,[status(thm)],[c_106773,c_19364]) ).
tcf(c_106814,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_18) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_106778,c_16715,c_80980]) ).
tcf(c_106817,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_23,multiply(multiply(inverse(iPr_def_20),iPr_def_18),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106775,c_16750]) ).
tcf(c_106830,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_99188]) ).
tcf(c_106831,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_99188]) ).
tcf(c_106832,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_60178,c_99188]) ).
tcf(c_106833,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_58244,c_99188]) ).
tcf(c_106834,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_27207,c_99188]) ).
tcf(c_106835,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24946,c_99188]) ).
tcf(c_106836,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24933,c_99188]) ).
tcf(c_106837,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99188]) ).
tcf(c_106838,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99188]) ).
tcf(c_106842,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99188]) ).
tcf(c_106843,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99188]) ).
tcf(c_106844,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99188]) ).
tcf(c_106845,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99188]) ).
tcf(c_106846,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(sk_c3,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99188]) ).
tcf(c_106847,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(sk_c4,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99188]) ).
tcf(c_106850,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99188]) ).
tcf(c_106854,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99188]) ).
tcf(c_106855,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99188]) ).
tcf(c_106856,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99188]) ).
tcf(c_106867,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12536,c_99188]) ).
tcf(c_106876,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_99188]) ).
tcf(c_106878,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_99188]) ).
tcf(c_106884,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_691,c_99188]) ).
tcf(c_106886,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_688,c_99188]) ).
tcf(c_106889,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_681,c_99188]) ).
tcf(c_106890,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_99188]) ).
tcf(c_106891,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_671,c_99188]) ).
tcf(c_106892,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_99188]) ).
tcf(c_106893,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_651,c_99188]) ).
tcf(c_106894,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_99188]) ).
tcf(c_106895,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99188,c_15079]) ).
tcf(c_106896,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_99188,c_15021]) ).
tcf(c_106897,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99188,c_105]) ).
tcf(c_106898,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(superposition,[status(thm)],[c_99188,c_15079]) ).
tcf(c_106899,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_14))),identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_99188,c_15079]) ).
tcf(c_106900,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99188,c_74415]) ).
tcf(c_106902,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99188,c_24127]) ).
tcf(c_106903,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99188,c_24107]) ).
tcf(c_106904,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99188,c_24087]) ).
tcf(c_106905,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99188,c_5756]) ).
tcf(c_106940,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(light_normalisation,[status(thm)],[c_106847,c_23268]) ).
tcf(c_106965,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106897,c_103]) ).
tcf(c_106995,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_106836,c_99256]) ).
tcf(c_107017,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(light_normalisation,[status(thm)],[c_106898,c_16715]) ).
tcf(c_107020,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_106895,c_16750]) ).
tcf(c_107182,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,identity) = multiply(iPr_def_27,sk_c9) ) ),
inference(superposition,[status(thm)],[c_16715,c_6524]) ).
tcf(c_107183,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_98806,c_6524]) ).
tcf(c_107193,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_17,X0)),multiply(iPr_def_27,multiply(multiply(sk_c9,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6524,c_15079]) ).
tcf(c_107194,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6524,c_15021]) ).
tcf(c_107195,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_17,X0),X1) ) ),
inference(superposition,[status(thm)],[c_6524,c_105]) ).
tcf(c_107196,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(iPr_def_17,X1))) = multiply(sk_c9,X1) ) ),
inference(superposition,[status(thm)],[c_6524,c_15079]) ).
tcf(c_107197,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c9)),multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6524,c_15079]) ).
tcf(c_107198,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(sk_c9,X0) ) ),
inference(superposition,[status(thm)],[c_6524,c_32418]) ).
tcf(c_107201,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(sk_c9,X0)) = multiply(sk_c9,X0) ) ),
inference(light_normalisation,[status(thm)],[c_107198,c_14544]) ).
tcf(c_107207,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c2,identity) = multiply(iPr_def_27,identity) ) ),
inference(light_normalisation,[status(thm)],[c_107183,c_99255]) ).
tcf(c_107301,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,sk_c9) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_103122]) ).
tcf(c_107327,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,identity) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_99333,c_103122]) ).
tcf(c_107330,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_91302,c_103122]) ).
tcf(c_107335,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_649,c_103122]) ).
tcf(c_107336,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_28),multiply(iPr_def_28,multiply(sk_c9,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_103122,c_15079]) ).
tcf(c_107337,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_103122,c_15021]) ).
tcf(c_107339,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_28)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_103122,c_15079]) ).
tcf(c_107341,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_35960]) ).
tcf(c_107342,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_35915]) ).
tcf(c_107344,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_35886]) ).
tcf(c_107346,plain,
( ( identity = iPr_def_24 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_34810]) ).
tcf(c_107347,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_34772]) ).
tcf(c_107348,plain,
( ( identity = iPr_def_26 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_34706]) ).
tcf(c_107349,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_32875]) ).
tcf(c_107350,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_32821]) ).
tcf(c_107351,plain,
( ( identity = iPr_def_22 )
| ( sk_c9 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_103122,c_32683]) ).
tcf(c_107355,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,sk_c9) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_103122,c_5599]) ).
tcf(c_107438,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_103198]) ).
tcf(c_107439,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_103198]) ).
tcf(c_107445,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_103198,c_15079]) ).
tcf(c_107446,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),identity) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103198,c_15021]) ).
tcf(c_107447,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_24,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_103198,c_105]) ).
tcf(c_107448,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_103198,c_15079]) ).
tcf(c_107450,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,identity) = multiply(iPr_def_14,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_103198,c_5553]) ).
tcf(c_107454,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(sk_c10,iPr_def_24) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_103198,c_5756]) ).
tcf(c_107469,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_107448,c_16715]) ).
tcf(c_107472,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_24,multiply(iPr_def_24,X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_107445,c_16750]) ).
tcf(c_107552,plain,
( ( iPr_def_22 = iPr_def_24 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74389,c_107335]) ).
tcf(c_107578,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_75026,c_107335]) ).
tcf(c_107579,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_75025,c_107335]) ).
tcf(c_107580,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_20) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_60178,c_107335]) ).
tcf(c_107581,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_15) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_58244,c_107335]) ).
tcf(c_107582,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_22) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_27207,c_107335]) ).
tcf(c_107583,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_24946,c_107335]) ).
tcf(c_107585,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_28),multiply(iPr_def_28,multiply(iPr_def_24,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_107335,c_15079]) ).
tcf(c_107586,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_28),iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_107335,c_15021]) ).
tcf(c_107587,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_28,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_107335,c_105]) ).
tcf(c_107588,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),multiply(X0,iPr_def_28)) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_107335,c_15079]) ).
tcf(c_107604,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = multiply(iPr_def_27,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_107335,c_5599]) ).
tcf(c_107607,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_24) = sk_c2 ) ),
inference(light_normalisation,[status(thm)],[c_107604,c_5304]) ).
tcf(c_107662,plain,
multiply(inverse(iPr_def_28),multiply(sk_c1,iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_32945,c_80532]) ).
tcf(c_107664,plain,
multiply(inverse(sk_c2),multiply(identity,iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_103,c_80532]) ).
tcf(c_107665,plain,
multiply(inverse(identity),multiply(inverse(sk_c2),iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_104,c_80532]) ).
tcf(c_107666,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c2))),multiply(multiply(X0,X1),iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_105,c_80532]) ).
tcf(c_107667,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c2)),multiply(sk_c10,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23941,c_80532]) ).
tcf(c_107668,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c2)),multiply(iPr_def_23,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76524,c_80532]) ).
tcf(c_107669,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c2)),multiply(iPr_def_26,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76523,c_80532]) ).
tcf(c_107670,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_26,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_38674,c_80532]) ).
tcf(c_107671,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_26,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_37343,c_80532]) ).
tcf(c_107672,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_26,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21381,c_80532]) ).
tcf(c_107673,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_24,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_74415,c_80532]) ).
tcf(c_107674,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_24,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24127,c_80532]) ).
tcf(c_107675,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_24,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24107,c_80532]) ).
tcf(c_107676,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_24,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24087,c_80532]) ).
tcf(c_107677,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_22,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_64389,c_80532]) ).
tcf(c_107678,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_22,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27213,c_80532]) ).
tcf(c_107679,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_22,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27059,c_80532]) ).
tcf(c_107680,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_22,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27017,c_80532]) ).
tcf(c_107681,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35960,c_80532]) ).
tcf(c_107682,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35915,c_80532]) ).
tcf(c_107683,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35886,c_80532]) ).
tcf(c_107684,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34810,c_80532]) ).
tcf(c_107685,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34772,c_80532]) ).
tcf(c_107686,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34706,c_80532]) ).
tcf(c_107687,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32875,c_80532]) ).
tcf(c_107688,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32821,c_80532]) ).
tcf(c_107689,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c2),multiply(iPr_def_28,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32683,c_80532]) ).
tcf(c_107706,plain,
multiply(inverse(multiply(identity,sk_c2)),iPr_def_17) = sk_c9,
inference(superposition,[status(thm)],[c_103,c_80532]) ).
tcf(c_107707,plain,
multiply(inverse(multiply(inverse(iPr_def_17),sk_c2)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_104,c_80532]) ).
tcf(c_107708,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,X1),sk_c2)),multiply(X0,multiply(X1,iPr_def_17))) = sk_c9,
inference(superposition,[status(thm)],[c_105,c_80532]) ).
tcf(c_107709,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c10,sk_c2)),multiply(iPr_def_14,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23941,c_80532]) ).
tcf(c_107710,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_23,sk_c2)),multiply(iPr_def_14,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76524,c_80532]) ).
tcf(c_107711,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c2)),multiply(iPr_def_14,iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76523,c_80532]) ).
tcf(c_107712,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_38674,c_80532]) ).
tcf(c_107713,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_37343,c_80532]) ).
tcf(c_107714,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_26,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21381,c_80532]) ).
tcf(c_107715,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c2)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3248,c_80532]) ).
tcf(c_107716,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c2)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3167,c_80532]) ).
tcf(c_107717,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c2)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3049,c_80532]) ).
tcf(c_107718,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c2)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2934,c_80532]) ).
tcf(c_107719,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c2)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2822,c_80532]) ).
tcf(c_107720,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_15,sk_c2)),identity) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2605,c_80532]) ).
tcf(c_107721,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26890,c_80532]) ).
tcf(c_107722,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23205,c_80532]) ).
tcf(c_107723,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21024,c_80532]) ).
tcf(c_107724,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12838,c_80532]) ).
tcf(c_107725,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12719,c_80532]) ).
tcf(c_107726,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3249,c_80532]) ).
tcf(c_107727,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3168,c_80532]) ).
tcf(c_107728,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3050,c_80532]) ).
tcf(c_107729,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2935,c_80532]) ).
tcf(c_107730,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2823,c_80532]) ).
tcf(c_107731,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(sk_c3,sk_c2)),iPr_def_26) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2606,c_80532]) ).
tcf(c_107732,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_74415,c_80532]) ).
tcf(c_107733,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24127,c_80532]) ).
tcf(c_107734,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24107,c_80532]) ).
tcf(c_107735,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_24087,c_80532]) ).
tcf(c_107736,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_64389,c_80532]) ).
tcf(c_107737,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27213,c_80532]) ).
tcf(c_107738,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27059,c_80532]) ).
tcf(c_107739,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_22,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_27017,c_80532]) ).
tcf(c_107740,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35960,c_80532]) ).
tcf(c_107741,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35915,c_80532]) ).
tcf(c_107742,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_35886,c_80532]) ).
tcf(c_107743,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34810,c_80532]) ).
tcf(c_107744,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34772,c_80532]) ).
tcf(c_107745,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_34706,c_80532]) ).
tcf(c_107746,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32875,c_80532]) ).
tcf(c_107747,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32821,c_80532]) ).
tcf(c_107748,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_28,sk_c2)),iPr_def_17) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_32683,c_80532]) ).
tcf(c_107749,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c2)),sk_c2) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_6278,c_80532]) ).
tcf(c_107750,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c2)),sk_c2) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_6259,c_80532]) ).
tcf(c_107751,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c2)),sk_c2) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_6240,c_80532]) ).
tcf(c_107752,plain,
multiply(inverse(multiply(sk_c1,sk_c2)),multiply(iPr_def_28,sk_c9)) = sk_c9,
inference(superposition,[status(thm)],[c_14472,c_80532]) ).
tcf(c_107753,plain,
multiply(inverse(multiply(inverse(sk_c2),sk_c2)),sk_c9) = sk_c9,
inference(superposition,[status(thm)],[c_15076,c_80532]) ).
tcf(c_107754,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_14)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_80532]) ).
tcf(c_107755,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c9),multiply(inverse(multiply(X0,sk_c2)),multiply(multiply(X0,iPr_def_17),X1))) = X1,
inference(superposition,[status(thm)],[c_80532,c_15079]) ).
tcf(c_107756,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c2))),sk_c9) = multiply(X0,iPr_def_17),
inference(superposition,[status(thm)],[c_80532,c_15021]) ).
tcf(c_107757,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(multiply(X0,iPr_def_17),X1)) = multiply(sk_c9,X1),
inference(superposition,[status(thm)],[c_80532,c_105]) ).
tcf(c_107758,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c2)))),multiply(X0,sk_c9)) = multiply(X1,iPr_def_17),
inference(superposition,[status(thm)],[c_80532,c_15079]) ).
tcf(c_107759,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c2)),X0)),sk_c9) = iPr_def_17,
inference(superposition,[status(thm)],[c_80532,c_15079]) ).
tcf(c_107760,plain,
multiply(inverse(iPr_def_28),multiply(iPr_def_28,sk_c9)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_107662,c_14472]) ).
tcf(c_108543,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_105339,c_97049]) ).
tcf(c_108544,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_105339,c_64387]) ).
tcf(c_108547,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105339,c_64389]) ).
tcf(c_108553,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_105339,c_40958]) ).
tcf(c_108554,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_20) = identity ) ),
inference(superposition,[status(thm)],[c_105339,c_40891]) ).
tcf(c_108561,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_105339,c_27057]) ).
tcf(c_108562,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_20) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_105339,c_27015]) ).
tcf(c_108567,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105339,c_27059]) ).
tcf(c_108570,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_105339,c_27017]) ).
tcf(c_108574,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_105339,c_5730]) ).
tcf(c_108580,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_20) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_105339,c_5696]) ).
tcf(c_108794,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76844,c_15021]) ).
tcf(c_108795,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_14,iPr_def_14) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76844,c_639]) ).
tcf(c_108797,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_14) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_14) )
| ( multiply(iPr_def_14,inverse(iPr_def_14)) != sk_c11 )
| ( multiply(inverse(iPr_def_14),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76844,c_638]) ).
tcf(c_108798,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99188]) ).
tcf(c_108801,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98801]) ).
tcf(c_108802,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98800]) ).
tcf(c_108805,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98797]) ).
tcf(c_108806,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98796]) ).
tcf(c_108807,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_23)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98795]) ).
tcf(c_108808,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,iPr_def_15)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98794]) ).
tcf(c_108809,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( inverse(multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98793]) ).
tcf(c_108810,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_98806]) ).
tcf(c_108811,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(multiply(iPr_def_14,sk_c10)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76844,c_98748]) ).
tcf(c_108820,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76844,c_10688]) ).
tcf(c_108821,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76844,c_10535]) ).
tcf(c_108824,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76844,c_4488]) ).
tcf(c_108893,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_108824,c_63288]) ).
tcf(c_108894,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_108824,c_63282]) ).
tcf(c_108895,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_22) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_108824,c_63130]) ).
tcf(c_108902,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_108824,c_20535]) ).
tcf(c_108903,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(iPr_def_22) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_108824,c_20601]) ).
tcf(c_108904,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_108824,c_20530]) ).
tcf(c_108907,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_108824,c_5997]) ).
tcf(c_108909,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_108824,c_5985]) ).
tcf(c_108910,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_108824,c_2682]) ).
tcf(c_108911,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(iPr_def_22,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_108824,c_1208]) ).
tcf(c_109072,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_76847,c_15021]) ).
tcf(c_109073,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(iPr_def_17,iPr_def_17) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76847,c_639]) ).
tcf(c_109075,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_76847,c_638]) ).
tcf(c_109083,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_76847,c_3052]) ).
tcf(c_109111,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_99189]) ).
tcf(c_109112,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_99189]) ).
tcf(c_109158,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_10254,c_99189]) ).
tcf(c_109171,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_681,c_99189]) ).
tcf(c_109172,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_678,c_99189]) ).
tcf(c_109177,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99189,c_15079]) ).
tcf(c_109178,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_99189,c_15021]) ).
tcf(c_109179,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99189,c_105]) ).
tcf(c_109180,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(superposition,[status(thm)],[c_99189,c_15079]) ).
tcf(c_109181,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_14))),identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_99189,c_15079]) ).
tcf(c_109182,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99189,c_74415]) ).
tcf(c_109185,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99189,c_24107]) ).
tcf(c_109186,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99189,c_24087]) ).
tcf(c_109187,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99189,c_5756]) ).
tcf(c_109209,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_109179,c_103]) ).
tcf(c_109218,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(light_normalisation,[status(thm)],[c_109180,c_16715]) ).
tcf(c_109221,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_109177,c_16750]) ).
tcf(c_109235,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_99190]) ).
tcf(c_109236,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_99190]) ).
tcf(c_109237,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_60178,c_99190]) ).
tcf(c_109238,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_58244,c_99190]) ).
tcf(c_109239,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_27207,c_99190]) ).
tcf(c_109240,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24946,c_99190]) ).
tcf(c_109241,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24933,c_99190]) ).
tcf(c_109242,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99190]) ).
tcf(c_109243,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99190]) ).
tcf(c_109244,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99190]) ).
tcf(c_109248,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99190]) ).
tcf(c_109249,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99190]) ).
tcf(c_109250,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99190]) ).
tcf(c_109251,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99190]) ).
tcf(c_109252,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(sk_c3,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99190]) ).
tcf(c_109253,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(sk_c4,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99190]) ).
tcf(c_109256,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99190]) ).
tcf(c_109260,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99190]) ).
tcf(c_109261,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99190]) ).
tcf(c_109262,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99190]) ).
tcf(c_109273,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12536,c_99190]) ).
tcf(c_109284,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_8900,c_99190]) ).
tcf(c_109297,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_671,c_99190]) ).
tcf(c_109298,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_668,c_99190]) ).
tcf(c_109299,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_651,c_99190]) ).
tcf(c_109300,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_99190]) ).
tcf(c_109301,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99190,c_15079]) ).
tcf(c_109302,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_99190,c_15021]) ).
tcf(c_109303,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99190,c_105]) ).
tcf(c_109304,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(superposition,[status(thm)],[c_99190,c_15079]) ).
tcf(c_109305,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_14))),identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_99190,c_15079]) ).
tcf(c_109306,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99190,c_74415]) ).
tcf(c_109308,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99190,c_24127]) ).
tcf(c_109309,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99190,c_24107]) ).
tcf(c_109310,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99190,c_24087]) ).
tcf(c_109311,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99190,c_5756]) ).
tcf(c_109348,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(light_normalisation,[status(thm)],[c_109253,c_23268]) ).
tcf(c_109376,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_109303,c_103]) ).
tcf(c_109388,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c10,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_109241,c_99256]) ).
tcf(c_109410,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(light_normalisation,[status(thm)],[c_109304,c_16715]) ).
tcf(c_109413,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_109301,c_16750]) ).
tcf(c_109538,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_99191]) ).
tcf(c_109539,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_99191]) ).
tcf(c_109540,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_60178,c_99191]) ).
tcf(c_109541,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_58244,c_99191]) ).
tcf(c_109542,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_27207,c_99191]) ).
tcf(c_109543,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24946,c_99191]) ).
tcf(c_109544,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24933,c_99191]) ).
tcf(c_109545,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99191]) ).
tcf(c_109546,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99191]) ).
tcf(c_109547,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99191]) ).
tcf(c_109548,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_72325,c_99191]) ).
tcf(c_109551,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99191]) ).
tcf(c_109552,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99191]) ).
tcf(c_109553,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99191]) ).
tcf(c_109554,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99191]) ).
tcf(c_109555,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(sk_c3,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99191]) ).
tcf(c_109556,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(sk_c4,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99191]) ).
tcf(c_109558,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_22804,c_99191]) ).
tcf(c_109559,plain,
( ( identity = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99191]) ).
tcf(c_109560,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_10688,c_99191]) ).
tcf(c_109561,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_10535,c_99191]) ).
tcf(c_109562,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4915,c_99191]) ).
tcf(c_109563,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99191]) ).
tcf(c_109564,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99191]) ).
tcf(c_109565,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99191]) ).
tcf(c_109568,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_89249,c_99191]) ).
tcf(c_109569,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_35002,c_99191]) ).
tcf(c_109570,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_34838,c_99191]) ).
tcf(c_109571,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_32439,c_99191]) ).
tcf(c_109572,plain,
( ( identity = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_32437,c_99191]) ).
tcf(c_109574,plain,
( ( identity = iPr_def_24 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_21917,c_99191]) ).
tcf(c_109576,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12536,c_99191]) ).
tcf(c_109580,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_12031,c_99191]) ).
tcf(c_109590,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_2289,c_99191]) ).
tcf(c_109602,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_651,c_99191]) ).
tcf(c_109603,plain,
( ( sk_c2 = iPr_def_27 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_99191]) ).
tcf(c_109604,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99191,c_15079]) ).
tcf(c_109605,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_99191,c_15021]) ).
tcf(c_109606,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99191,c_105]) ).
tcf(c_109607,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(superposition,[status(thm)],[c_99191,c_15079]) ).
tcf(c_109608,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_14))),identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_99191,c_15079]) ).
tcf(c_109609,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99191,c_74415]) ).
tcf(c_109611,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99191,c_24127]) ).
tcf(c_109612,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99191,c_24107]) ).
tcf(c_109613,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99191,c_24087]) ).
tcf(c_109614,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99191,c_5756]) ).
tcf(c_109657,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(light_normalisation,[status(thm)],[c_109556,c_23268]) ).
tcf(c_109688,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_109606,c_103]) ).
tcf(c_109724,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(sk_c10,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_109544,c_99256]) ).
tcf(c_109746,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(light_normalisation,[status(thm)],[c_109607,c_16715]) ).
tcf(c_109749,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_109604,c_16750]) ).
tcf(c_110486,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_99192]) ).
tcf(c_110487,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_99192]) ).
tcf(c_110488,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_60178,c_99192]) ).
tcf(c_110489,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_58244,c_99192]) ).
tcf(c_110490,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_27207,c_99192]) ).
tcf(c_110491,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24946,c_99192]) ).
tcf(c_110492,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_24933,c_99192]) ).
tcf(c_110499,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99192]) ).
tcf(c_110500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99192]) ).
tcf(c_110501,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99192]) ).
tcf(c_110502,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99192]) ).
tcf(c_110503,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c3,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99192]) ).
tcf(c_110504,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(sk_c4,sk_c10)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99192]) ).
tcf(c_110524,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12536,c_99192]) ).
tcf(c_110550,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_651,c_99192]) ).
tcf(c_110551,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_648,c_99192]) ).
tcf(c_110552,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99192,c_15079]) ).
tcf(c_110553,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_99192,c_15021]) ).
tcf(c_110554,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99192,c_105]) ).
tcf(c_110555,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(superposition,[status(thm)],[c_99192,c_15079]) ).
tcf(c_110556,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_14))),identity) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_99192,c_15079]) ).
tcf(c_110557,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99192,c_74415]) ).
tcf(c_110559,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99192,c_24127]) ).
tcf(c_110560,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99192,c_24107]) ).
tcf(c_110561,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c10) = identity ) ),
inference(superposition,[status(thm)],[c_99192,c_24087]) ).
tcf(c_110562,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),sk_c10)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99192,c_5756]) ).
tcf(c_110587,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,iPr_def_24) = identity ) ),
inference(light_normalisation,[status(thm)],[c_110504,c_23268]) ).
tcf(c_110606,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_110554,c_103]) ).
tcf(c_110609,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c10,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_110492,c_99256]) ).
tcf(c_110631,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_14),sk_c10) ) ),
inference(light_normalisation,[status(thm)],[c_110555,c_16715]) ).
tcf(c_110634,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),sk_c10),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_110552,c_16750]) ).
tcf(c_110845,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_99237]) ).
tcf(c_110846,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_99328,c_99237]) ).
tcf(c_110847,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_99325,c_99237]) ).
tcf(c_110848,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_99237]) ).
tcf(c_110854,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99237]) ).
tcf(c_110855,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99237]) ).
tcf(c_110856,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99237]) ).
tcf(c_110860,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_23,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99237]) ).
tcf(c_110861,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99237]) ).
tcf(c_110862,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_25,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99237]) ).
tcf(c_110863,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99237]) ).
tcf(c_110864,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(sk_c3,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99237]) ).
tcf(c_110865,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(sk_c4,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99237]) ).
tcf(c_110868,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99237]) ).
tcf(c_110872,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99237]) ).
tcf(c_110873,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99237]) ).
tcf(c_110874,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99237]) ).
tcf(c_110879,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_20)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_99237]) ).
tcf(c_110880,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_25)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_99237]) ).
tcf(c_110881,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_99237]) ).
tcf(c_110882,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_22)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_99237]) ).
tcf(c_110883,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_99237]) ).
tcf(c_110884,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_99237]) ).
tcf(c_110886,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99237,c_15079]) ).
tcf(c_110887,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99237,c_15021]) ).
tcf(c_110888,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99237,c_105]) ).
tcf(c_110889,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99237,c_15079]) ).
tcf(c_110890,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99237,c_15079]) ).
tcf(c_110893,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99237,c_5968]) ).
tcf(c_110894,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99237,c_4296]) ).
tcf(c_110895,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99237,c_2664]) ).
tcf(c_110896,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99237,c_2662]) ).
tcf(c_110898,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_110887,c_99249]) ).
tcf(c_110926,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,sk_c11) = identity ) ),
inference(light_normalisation,[status(thm)],[c_110862,c_5985]) ).
tcf(c_110975,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_110886,c_16750]) ).
tcf(c_111020,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99238]) ).
tcf(c_111021,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99238]) ).
tcf(c_111022,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99238]) ).
tcf(c_111023,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_72325,c_99238]) ).
tcf(c_111024,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_69396,c_99238]) ).
tcf(c_111025,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_67603,c_99238]) ).
tcf(c_111032,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_26521,c_99238]) ).
tcf(c_111033,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_22804,c_99238]) ).
tcf(c_111034,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99238]) ).
tcf(c_111035,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_10688,c_99238]) ).
tcf(c_111036,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_10535,c_99238]) ).
tcf(c_111037,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4915,c_99238]) ).
tcf(c_111038,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99238]) ).
tcf(c_111039,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99238]) ).
tcf(c_111040,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99238]) ).
tcf(c_111041,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4209,c_99238]) ).
tcf(c_111042,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4084,c_99238]) ).
tcf(c_111043,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99238,c_15079]) ).
tcf(c_111044,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_99238,c_15021]) ).
tcf(c_111045,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99238,c_105]) ).
tcf(c_111046,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_99238,c_15079]) ).
tcf(c_111047,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99238,c_15079]) ).
tcf(c_111048,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_99238,c_6524]) ).
tcf(c_111049,plain,
( ( sk_c11 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_99238,c_6470]) ).
tcf(c_111052,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99238,c_2664]) ).
tcf(c_111053,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99238,c_2662]) ).
tcf(c_111055,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_111044,c_99249]) ).
tcf(c_111115,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_111043,c_16750]) ).
tcf(c_111482,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_99239]) ).
tcf(c_111483,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_99328,c_99239]) ).
tcf(c_111484,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_99325,c_99239]) ).
tcf(c_111485,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_99239]) ).
tcf(c_111491,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99239]) ).
tcf(c_111492,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99239]) ).
tcf(c_111493,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99239]) ).
tcf(c_111497,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_23,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99239]) ).
tcf(c_111498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99239]) ).
tcf(c_111499,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_25,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99239]) ).
tcf(c_111500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99239]) ).
tcf(c_111501,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(sk_c3,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99239]) ).
tcf(c_111502,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(sk_c4,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99239]) ).
tcf(c_111505,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99239]) ).
tcf(c_111509,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99239]) ).
tcf(c_111510,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99239]) ).
tcf(c_111511,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99239]) ).
tcf(c_111518,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99239,c_15079]) ).
tcf(c_111519,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99239,c_15021]) ).
tcf(c_111520,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99239,c_105]) ).
tcf(c_111521,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99239,c_15079]) ).
tcf(c_111522,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_99239,c_15079]) ).
tcf(c_111525,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99239,c_5968]) ).
tcf(c_111526,plain,
( ( sk_c10 = iPr_def_15 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99239,c_4296]) ).
tcf(c_111527,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99239,c_2664]) ).
tcf(c_111528,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99239,c_2662]) ).
tcf(c_111530,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_111519,c_99249]) ).
tcf(c_111549,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c9,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_111502,c_21893]) ).
tcf(c_111591,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_111518,c_16750]) ).
tcf(c_111614,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99240]) ).
tcf(c_111615,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99240]) ).
tcf(c_111616,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99240]) ).
tcf(c_111617,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_72325,c_99240]) ).
tcf(c_111618,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_69396,c_99240]) ).
tcf(c_111619,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_67603,c_99240]) ).
tcf(c_111626,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_26521,c_99240]) ).
tcf(c_111627,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_22804,c_99240]) ).
tcf(c_111628,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99240]) ).
tcf(c_111629,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_10688,c_99240]) ).
tcf(c_111630,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_10535,c_99240]) ).
tcf(c_111631,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4915,c_99240]) ).
tcf(c_111632,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99240]) ).
tcf(c_111633,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99240]) ).
tcf(c_111634,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99240]) ).
tcf(c_111635,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4209,c_99240]) ).
tcf(c_111636,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4084,c_99240]) ).
tcf(c_111637,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99240,c_15079]) ).
tcf(c_111638,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_99240,c_15021]) ).
tcf(c_111639,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99240,c_105]) ).
tcf(c_111640,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_99240,c_15079]) ).
tcf(c_111641,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99240,c_15079]) ).
tcf(c_111642,plain,
( ( sk_c11 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_99240,c_6524]) ).
tcf(c_111643,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_99240,c_6470]) ).
tcf(c_111646,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99240,c_2664]) ).
tcf(c_111647,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99240,c_2662]) ).
tcf(c_111649,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_111638,c_99249]) ).
tcf(c_111711,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_111637,c_16750]) ).
tcf(c_111722,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_16,multiply(iPr_def_16,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_6720,c_15079]) ).
tcf(c_111723,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_16),sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6720,c_15021]) ).
tcf(c_111725,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,sk_c8)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6720,c_15079]) ).
tcf(c_111731,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_19,sk_c8) ) ),
inference(superposition,[status(thm)],[c_6720,c_5694]) ).
tcf(c_111832,plain,
inverse(multiply(inverse(iPr_def_17),sk_c2)) = sk_c9,
inference(demodulation,[status(thm)],[c_107707,c_16715]) ).
tcf(c_111833,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76847,c_111832]) ).
tcf(c_111834,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(multiply(iPr_def_17,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76656,c_111832]) ).
tcf(c_111835,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76202,c_111832]) ).
tcf(c_111836,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(multiply(iPr_def_17,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72328,c_111832]) ).
tcf(c_111837,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(multiply(iPr_def_17,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69399,c_111832]) ).
tcf(c_111838,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(multiply(iPr_def_17,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67606,c_111832]) ).
tcf(c_111839,plain,
( ( identity = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26892,c_111832]) ).
tcf(c_111840,plain,
( ( identity = iPr_def_24 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23207,c_111832]) ).
tcf(c_111841,plain,
( ( identity = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21026,c_111832]) ).
tcf(c_111842,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12840,c_111832]) ).
tcf(c_111843,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12721,c_111832]) ).
tcf(c_111844,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3251,c_111832]) ).
tcf(c_111845,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3170,c_111832]) ).
tcf(c_111846,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3052,c_111832]) ).
tcf(c_111847,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2937,c_111832]) ).
tcf(c_111848,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2825,c_111832]) ).
tcf(c_111849,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(multiply(iPr_def_15,sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2608,c_111832]) ).
tcf(c_111850,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( inverse(multiply(inverse(iPr_def_14),sk_c2)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_111832]) ).
tcf(c_111851,plain,
( ( sk_c11 = iPr_def_17 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_103075,c_111832]) ).
tcf(c_111852,plain,
( ( sk_c11 = iPr_def_14 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_102066,c_111832]) ).
tcf(c_111853,plain,
( ( sk_c11 = iPr_def_28 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_17)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_101992,c_111832]) ).
tcf(c_111854,plain,
( ( identity = iPr_def_22 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26122,c_111832]) ).
tcf(c_111860,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1127,c_111832]) ).
tcf(c_111861,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_1110,c_111832]) ).
tcf(c_111862,plain,
( ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_661,c_111832]) ).
tcf(c_111863,plain,
( ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_660,c_111832]) ).
tcf(c_111864,plain,
( ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_658,c_111832]) ).
tcf(c_111865,plain,
( ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_657,c_111832]) ).
tcf(c_111866,plain,
( ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_655,c_111832]) ).
tcf(c_111867,plain,
! [X0: $i] : multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),sk_c2),X0)) = X0,
inference(superposition,[status(thm)],[c_111832,c_15021]) ).
tcf(c_111868,plain,
( ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_17),sk_c2),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_17),sk_c2)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111832,c_639]) ).
tcf(c_111869,plain,
multiply(sk_c9,multiply(inverse(iPr_def_17),sk_c2)) = identity,
inference(superposition,[status(thm)],[c_111832,c_104]) ).
tcf(c_111870,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_17),sk_c2)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_17),sk_c2)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_17),sk_c2),inverse(multiply(inverse(iPr_def_17),sk_c2))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111832,c_638]) ).
tcf(c_111871,plain,
! [X0: $i] : multiply(sk_c9,multiply(inverse(iPr_def_17),multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_111832,c_15079]) ).
tcf(c_111872,plain,
multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_111832,c_80532]) ).
tcf(c_111931,plain,
( ~ iPr_def_12
| ( multiply(sk_c9,sk_c9) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_17),sk_c2),sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_111868,c_111832]) ).
tcf(c_111935,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(sk_c9,sk_c10) != sk_c11 )
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(inverse(X0)) != sk_c9 )
| ( multiply(multiply(inverse(iPr_def_17),sk_c2),sk_c9) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_111870,c_111832]) ).
tcf(c_112101,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_111869]) ).
tcf(c_112102,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_99328,c_111869]) ).
tcf(c_112103,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_99325,c_111869]) ).
tcf(c_112104,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_111869]) ).
tcf(c_112105,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_689,c_111869]) ).
tcf(c_112106,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_679,c_111869]) ).
tcf(c_112107,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_669,c_111869]) ).
tcf(c_112108,plain,
( ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_659,c_111869]) ).
tcf(c_112109,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_17),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_649,c_111869]) ).
tcf(c_112110,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_17,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_76847,c_111869]) ).
tcf(c_112111,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_17,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_76656,c_111869]) ).
tcf(c_112112,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_17,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_76202,c_111869]) ).
tcf(c_112113,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_17,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_72328,c_111869]) ).
tcf(c_112114,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(iPr_def_17,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_69399,c_111869]) ).
tcf(c_112115,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,multiply(iPr_def_17,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_67606,c_111869]) ).
tcf(c_112116,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_26892,c_111869]) ).
tcf(c_112117,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_23207,c_111869]) ).
tcf(c_112118,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_21026,c_111869]) ).
tcf(c_112119,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_12840,c_111869]) ).
tcf(c_112120,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_12721,c_111869]) ).
tcf(c_112121,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_3251,c_111869]) ).
tcf(c_112122,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_3170,c_111869]) ).
tcf(c_112123,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_3052,c_111869]) ).
tcf(c_112124,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_2937,c_111869]) ).
tcf(c_112125,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_2825,c_111869]) ).
tcf(c_112126,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(iPr_def_15,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_2608,c_111869]) ).
tcf(c_112127,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_41722,c_111869]) ).
tcf(c_112128,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_17)) = identity ) ),
inference(superposition,[status(thm)],[c_103075,c_111869]) ).
tcf(c_112129,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_17)) = identity ) ),
inference(superposition,[status(thm)],[c_102066,c_111869]) ).
tcf(c_112130,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_17)) = identity ) ),
inference(superposition,[status(thm)],[c_101992,c_111869]) ).
tcf(c_112131,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_26122,c_111869]) ).
tcf(c_112137,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_1127,c_111869]) ).
tcf(c_112138,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_1110,c_111869]) ).
tcf(c_112139,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_661,c_111869]) ).
tcf(c_112140,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_660,c_111869]) ).
tcf(c_112141,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_658,c_111869]) ).
tcf(c_112142,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_657,c_111869]) ).
tcf(c_112143,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),iPr_def_27)) = identity ) ),
inference(superposition,[status(thm)],[c_655,c_111869]) ).
tcf(c_112144,plain,
! [X0: $i] : multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),sk_c2),X0))) = X0,
inference(superposition,[status(thm)],[c_111869,c_15079]) ).
tcf(c_112145,plain,
multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_17),sk_c2),
inference(superposition,[status(thm)],[c_111869,c_15021]) ).
tcf(c_112146,plain,
! [X0: $i] : multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),sk_c2),X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_111869,c_105]) ).
tcf(c_112147,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_17),sk_c2),
inference(superposition,[status(thm)],[c_111869,c_15079]) ).
tcf(c_112148,plain,
multiply(inverse(multiply(sk_c9,inverse(iPr_def_17))),identity) = sk_c2,
inference(superposition,[status(thm)],[c_111869,c_15079]) ).
tcf(c_112149,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_17),sk_c2)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_111869,c_6524]) ).
tcf(c_112150,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_17),sk_c2)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_111869,c_6470]) ).
tcf(c_112151,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_17),sk_c2)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_111869,c_5968]) ).
tcf(c_112152,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_17),sk_c2)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_111869,c_4296]) ).
tcf(c_112153,plain,
multiply(iPr_def_17,multiply(inverse(iPr_def_17),sk_c2)) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_111869,c_2664]) ).
tcf(c_112154,plain,
multiply(iPr_def_14,multiply(inverse(iPr_def_17),sk_c2)) = multiply(sk_c10,identity),
inference(superposition,[status(thm)],[c_111869,c_2662]) ).
tcf(c_112155,plain,
multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_17),sk_c2),
inference(light_normalisation,[status(thm)],[c_112145,c_99249]) ).
tcf(c_112387,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_109083,c_63288]) ).
tcf(c_112388,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_22,inverse(iPr_def_26)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_109083,c_63282]) ).
tcf(c_112389,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = inverse(iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_109083,c_63130]) ).
tcf(c_112396,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_109083,c_20535]) ).
tcf(c_112397,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( inverse(iPr_def_22) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_109083,c_20601]) ).
tcf(c_112398,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_109083,c_20530]) ).
tcf(c_112401,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_109083,c_5997]) ).
tcf(c_112403,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_109083,c_5985]) ).
tcf(c_112404,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_109083,c_2682]) ).
tcf(c_112405,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( multiply(iPr_def_22,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_109083,c_1208]) ).
tcf(c_112433,plain,
multiply(inverse(identity),inverse(sk_c6)) = iPr_def_18,
inference(superposition,[status(thm)],[c_104,c_80973]) ).
tcf(c_112434,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c6))),multiply(X0,X1)) = iPr_def_18,
inference(superposition,[status(thm)],[c_105,c_80973]) ).
tcf(c_112435,plain,
multiply(inverse(identity),iPr_def_18) = iPr_def_18,
inference(superposition,[status(thm)],[c_1212,c_80973]) ).
tcf(c_112436,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c6)),sk_c10) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_23941,c_80973]) ).
tcf(c_112437,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c6)),iPr_def_23) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_76524,c_80973]) ).
tcf(c_112438,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c6)),iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_76523,c_80973]) ).
tcf(c_112439,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_38674,c_80973]) ).
tcf(c_112440,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37343,c_80973]) ).
tcf(c_112441,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c6),iPr_def_26) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_21381,c_80973]) ).
tcf(c_112442,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_74415,c_80973]) ).
tcf(c_112443,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c6),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24127,c_80973]) ).
tcf(c_112444,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24107,c_80973]) ).
tcf(c_112445,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_24) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24087,c_80973]) ).
tcf(c_112446,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_64389,c_80973]) ).
tcf(c_112447,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27213,c_80973]) ).
tcf(c_112448,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27059,c_80973]) ).
tcf(c_112449,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c6),iPr_def_22) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_27017,c_80973]) ).
tcf(c_112450,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_35960,c_80973]) ).
tcf(c_112451,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_35915,c_80973]) ).
tcf(c_112452,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_35886,c_80973]) ).
tcf(c_112453,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_34810,c_80973]) ).
tcf(c_112454,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_34772,c_80973]) ).
tcf(c_112455,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_34706,c_80973]) ).
tcf(c_112456,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32875,c_80973]) ).
tcf(c_112457,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32821,c_80973]) ).
tcf(c_112458,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c6),iPr_def_28) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32683,c_80973]) ).
tcf(c_112465,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_684,c_80973]) ).
tcf(c_112467,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_674,c_80973]) ).
tcf(c_112469,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_664,c_80973]) ).
tcf(c_112471,plain,
! [X0: $i] :
( ( sk_c2 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_654,c_80973]) ).
tcf(c_112473,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_19)),X0) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_644,c_80973]) ).
tcf(c_112475,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_18),multiply(inverse(multiply(X0,sk_c6)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_80973,c_15079]) ).
tcf(c_112476,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c6))),iPr_def_18) = X0,
inference(superposition,[status(thm)],[c_80973,c_15021]) ).
tcf(c_112478,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c6)))),multiply(X0,iPr_def_18)) = X1,
inference(superposition,[status(thm)],[c_80973,c_15079]) ).
tcf(c_112479,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c6)),X0)),iPr_def_18) = X1,
inference(superposition,[status(thm)],[c_80973,c_15079]) ).
tcf(c_112480,plain,
multiply(inverse(iPr_def_18),multiply(inverse(multiply(sk_c10,sk_c6)),iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_80973,c_80529]) ).
tcf(c_112481,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_18 )
| ( inverse(inverse(multiply(sk_c10,sk_c6))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_80973,c_640]) ).
tcf(c_112482,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(multiply(inverse(X0),sk_c6))) != iPr_def_18 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c6)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_80973,c_638]) ).
tcf(c_112483,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_18 )
| ( inverse(inverse(multiply(sk_c11,sk_c6))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_80973,c_641]) ).
tcf(c_112484,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_17,sk_c6)),sk_c2)),iPr_def_18) = sk_c9,
inference(superposition,[status(thm)],[c_80973,c_80532]) ).
tcf(c_112485,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_20,sk_c6)),sk_c8)),iPr_def_18) = sk_c10,
inference(superposition,[status(thm)],[c_80973,c_80526]) ).
tcf(c_112486,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_14,sk_c6)),sk_c10)),iPr_def_18) = sk_c9,
inference(superposition,[status(thm)],[c_80973,c_80529]) ).
tcf(c_112487,plain,
inverse(multiply(identity,sk_c6)) = iPr_def_18,
inference(superposition,[status(thm)],[c_80973,c_16715]) ).
tcf(c_112488,plain,
multiply(inverse(iPr_def_18),inverse(multiply(sk_c6,sk_c6))) = iPr_def_18,
inference(superposition,[status(thm)],[c_80973,c_80973]) ).
tcf(c_112489,plain,
multiply(inverse(iPr_def_18),multiply(inverse(multiply(sk_c8,sk_c6)),iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_80973,c_80526]) ).
tcf(c_112490,plain,
multiply(inverse(iPr_def_18),multiply(inverse(multiply(sk_c2,sk_c6)),iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_80973,c_80532]) ).
tcf(c_112491,plain,
multiply(identity,iPr_def_18) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_112435,c_16750]) ).
tcf(c_112493,plain,
multiply(sk_c6,inverse(multiply(sk_c6,sk_c6))) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_112488,c_31945]) ).
tcf(c_112494,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112458,c_626]) ).
tcf(c_112497,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112457,c_626]) ).
tcf(c_112500,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112456,c_626]) ).
tcf(c_112503,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112455,c_626]) ).
tcf(c_112506,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112454,c_626]) ).
tcf(c_112509,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112453,c_626]) ).
tcf(c_112512,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112452,c_626]) ).
tcf(c_112515,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112451,c_626]) ).
tcf(c_112518,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_18,iPr_def_28) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112450,c_626]) ).
tcf(c_112521,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112449,c_626]) ).
tcf(c_112524,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112448,c_626]) ).
tcf(c_112527,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112447,c_626]) ).
tcf(c_112530,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112446,c_626]) ).
tcf(c_112533,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112445,c_626]) ).
tcf(c_112536,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112444,c_626]) ).
tcf(c_112539,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112443,c_626]) ).
tcf(c_112542,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_24) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112442,c_626]) ).
tcf(c_112545,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112441,c_626]) ).
tcf(c_112548,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112440,c_626]) ).
tcf(c_112551,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_26) = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_112439,c_626]) ).
tcf(c_112554,plain,
multiply(sk_c6,multiply(inverse(multiply(sk_c2,sk_c6)),iPr_def_17)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_112490,c_31945]) ).
tcf(c_112555,plain,
multiply(sk_c6,multiply(inverse(multiply(sk_c8,sk_c6)),iPr_def_20)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_112489,c_31945]) ).
tcf(c_112556,plain,
multiply(sk_c6,multiply(inverse(multiply(sk_c10,sk_c6)),iPr_def_14)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_112480,c_31945]) ).
tcf(c_112725,plain,
multiply(inverse(identity),inverse(sk_c7)) = iPr_def_19,
inference(superposition,[status(thm)],[c_104,c_80974]) ).
tcf(c_112726,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c7))),multiply(X0,X1)) = iPr_def_19,
inference(superposition,[status(thm)],[c_105,c_80974]) ).
tcf(c_112727,plain,
multiply(inverse(identity),iPr_def_19) = iPr_def_19,
inference(superposition,[status(thm)],[c_1211,c_80974]) ).
tcf(c_112728,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c7)),sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_23941,c_80974]) ).
tcf(c_112729,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c7)),iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_76524,c_80974]) ).
tcf(c_112730,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c7)),iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_76523,c_80974]) ).
tcf(c_112731,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_38674,c_80974]) ).
tcf(c_112732,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_37343,c_80974]) ).
tcf(c_112733,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_21381,c_80974]) ).
tcf(c_112734,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_74415,c_80974]) ).
tcf(c_112735,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_24127,c_80974]) ).
tcf(c_112736,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_24107,c_80974]) ).
tcf(c_112737,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_24) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_24087,c_80974]) ).
tcf(c_112738,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_64389,c_80974]) ).
tcf(c_112739,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_27213,c_80974]) ).
tcf(c_112740,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_27059,c_80974]) ).
tcf(c_112741,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_27017,c_80974]) ).
tcf(c_112742,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_35960,c_80974]) ).
tcf(c_112743,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_35915,c_80974]) ).
tcf(c_112744,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_35886,c_80974]) ).
tcf(c_112745,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_34810,c_80974]) ).
tcf(c_112746,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_34772,c_80974]) ).
tcf(c_112747,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_34706,c_80974]) ).
tcf(c_112748,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_32875,c_80974]) ).
tcf(c_112749,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_32821,c_80974]) ).
tcf(c_112750,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c7),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_32683,c_80974]) ).
tcf(c_112751,plain,
multiply(inverse(iPr_def_18),inverse(multiply(sk_c7,sk_c6))) = iPr_def_19,
inference(superposition,[status(thm)],[c_80973,c_80974]) ).
tcf(c_112758,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_19),multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_80974,c_15079]) ).
tcf(c_112759,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c7))),iPr_def_19) = X0,
inference(superposition,[status(thm)],[c_80974,c_15021]) ).
tcf(c_112761,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c7)))),multiply(X0,iPr_def_19)) = X1,
inference(superposition,[status(thm)],[c_80974,c_15079]) ).
tcf(c_112762,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c7)),X0)),iPr_def_19) = X1,
inference(superposition,[status(thm)],[c_80974,c_15079]) ).
tcf(c_112763,plain,
multiply(inverse(iPr_def_19),multiply(inverse(multiply(sk_c10,sk_c7)),iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_80974,c_80529]) ).
tcf(c_112764,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_19 )
| ( inverse(inverse(multiply(sk_c10,sk_c7))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_80974,c_640]) ).
tcf(c_112765,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(multiply(inverse(X0),sk_c7))) != iPr_def_19 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c7)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_80974,c_638]) ).
tcf(c_112766,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_19 )
| ( inverse(inverse(multiply(sk_c11,sk_c7))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_80974,c_641]) ).
tcf(c_112767,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_17,sk_c7)),sk_c2)),iPr_def_19) = sk_c9,
inference(superposition,[status(thm)],[c_80974,c_80532]) ).
tcf(c_112768,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_20,sk_c7)),sk_c8)),iPr_def_19) = sk_c10,
inference(superposition,[status(thm)],[c_80974,c_80526]) ).
tcf(c_112769,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_14,sk_c7)),sk_c10)),iPr_def_19) = sk_c9,
inference(superposition,[status(thm)],[c_80974,c_80529]) ).
tcf(c_112770,plain,
inverse(multiply(identity,sk_c7)) = iPr_def_19,
inference(superposition,[status(thm)],[c_80974,c_16715]) ).
tcf(c_112771,plain,
multiply(inverse(iPr_def_19),inverse(multiply(sk_c7,sk_c7))) = iPr_def_19,
inference(superposition,[status(thm)],[c_80974,c_80974]) ).
tcf(c_112772,plain,
multiply(inverse(iPr_def_19),inverse(multiply(sk_c6,sk_c7))) = iPr_def_18,
inference(superposition,[status(thm)],[c_80974,c_80973]) ).
tcf(c_112773,plain,
multiply(inverse(iPr_def_19),multiply(inverse(multiply(sk_c8,sk_c7)),iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_80974,c_80526]) ).
tcf(c_112774,plain,
multiply(inverse(iPr_def_19),multiply(inverse(multiply(sk_c2,sk_c7)),iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_80974,c_80532]) ).
tcf(c_112775,plain,
multiply(identity,iPr_def_19) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_112727,c_16750]) ).
tcf(c_112777,plain,
multiply(sk_c7,inverse(multiply(sk_c6,sk_c7))) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_112772,c_29247]) ).
tcf(c_112778,plain,
multiply(sk_c7,inverse(multiply(sk_c7,sk_c7))) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_112771,c_29247]) ).
tcf(c_112779,plain,
multiply(sk_c6,inverse(multiply(sk_c7,sk_c6))) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_112751,c_31945]) ).
tcf(c_112780,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112750,c_627]) ).
tcf(c_112783,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112749,c_627]) ).
tcf(c_112786,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112748,c_627]) ).
tcf(c_112789,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112747,c_627]) ).
tcf(c_112792,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112746,c_627]) ).
tcf(c_112795,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112745,c_627]) ).
tcf(c_112798,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112744,c_627]) ).
tcf(c_112801,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112743,c_627]) ).
tcf(c_112804,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_28) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112742,c_627]) ).
tcf(c_112807,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_22) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112741,c_627]) ).
tcf(c_112810,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_22) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112740,c_627]) ).
tcf(c_112813,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_22) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112739,c_627]) ).
tcf(c_112816,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_22) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112738,c_627]) ).
tcf(c_112819,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112737,c_627]) ).
tcf(c_112822,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112736,c_627]) ).
tcf(c_112825,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112735,c_627]) ).
tcf(c_112828,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_24) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112734,c_627]) ).
tcf(c_112831,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112733,c_627]) ).
tcf(c_112834,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112732,c_627]) ).
tcf(c_112837,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_112731,c_627]) ).
tcf(c_112840,plain,
multiply(sk_c7,multiply(inverse(multiply(sk_c2,sk_c7)),iPr_def_17)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_112774,c_29247]) ).
tcf(c_112841,plain,
multiply(sk_c7,multiply(inverse(multiply(sk_c8,sk_c7)),iPr_def_20)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_112773,c_29247]) ).
tcf(c_112842,plain,
multiply(sk_c7,multiply(inverse(multiply(sk_c10,sk_c7)),iPr_def_14)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_112763,c_29247]) ).
tcf(c_112993,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76847,c_111862]) ).
tcf(c_112994,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76656,c_111862]) ).
tcf(c_112995,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76202,c_111862]) ).
tcf(c_112996,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72328,c_111862]) ).
tcf(c_112997,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69399,c_111862]) ).
tcf(c_112998,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67606,c_111862]) ).
tcf(c_112999,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26892,c_111862]) ).
tcf(c_113000,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23207,c_111862]) ).
tcf(c_113001,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21026,c_111862]) ).
tcf(c_113002,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12840,c_111862]) ).
tcf(c_113003,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12721,c_111862]) ).
tcf(c_113004,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3251,c_111862]) ).
tcf(c_113005,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3170,c_111862]) ).
tcf(c_113006,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3052,c_111862]) ).
tcf(c_113007,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2937,c_111862]) ).
tcf(c_113008,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2825,c_111862]) ).
tcf(c_113009,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2608,c_111862]) ).
tcf(c_113010,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_26 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_111862]) ).
tcf(c_113011,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),iPr_def_27),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_111862,c_15021]) ).
tcf(c_113012,plain,
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111862,c_639]) ).
tcf(c_113014,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),inverse(multiply(inverse(iPr_def_17),iPr_def_27))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111862,c_638]) ).
tcf(c_113015,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_111862,c_15079]) ).
tcf(c_113131,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76847,c_111863]) ).
tcf(c_113132,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76656,c_111863]) ).
tcf(c_113133,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76202,c_111863]) ).
tcf(c_113134,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72328,c_111863]) ).
tcf(c_113135,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69399,c_111863]) ).
tcf(c_113136,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67606,c_111863]) ).
tcf(c_113137,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26892,c_111863]) ).
tcf(c_113138,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23207,c_111863]) ).
tcf(c_113139,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21026,c_111863]) ).
tcf(c_113140,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12840,c_111863]) ).
tcf(c_113141,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12721,c_111863]) ).
tcf(c_113142,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3251,c_111863]) ).
tcf(c_113143,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3170,c_111863]) ).
tcf(c_113144,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3052,c_111863]) ).
tcf(c_113145,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2937,c_111863]) ).
tcf(c_113146,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2825,c_111863]) ).
tcf(c_113147,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2608,c_111863]) ).
tcf(c_113148,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_25 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_111863]) ).
tcf(c_113149,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),iPr_def_27),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_111863,c_15021]) ).
tcf(c_113150,plain,
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111863,c_639]) ).
tcf(c_113152,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),inverse(multiply(inverse(iPr_def_17),iPr_def_27))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111863,c_638]) ).
tcf(c_113153,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_111863,c_15079]) ).
tcf(c_113316,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76847,c_111864]) ).
tcf(c_113317,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76656,c_111864]) ).
tcf(c_113318,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76202,c_111864]) ).
tcf(c_113319,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72328,c_111864]) ).
tcf(c_113320,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69399,c_111864]) ).
tcf(c_113321,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67606,c_111864]) ).
tcf(c_113322,plain,
( ( identity = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26892,c_111864]) ).
tcf(c_113323,plain,
( ( identity = iPr_def_24 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23207,c_111864]) ).
tcf(c_113324,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21026,c_111864]) ).
tcf(c_113325,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12840,c_111864]) ).
tcf(c_113326,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12721,c_111864]) ).
tcf(c_113327,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3251,c_111864]) ).
tcf(c_113328,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3170,c_111864]) ).
tcf(c_113329,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3052,c_111864]) ).
tcf(c_113330,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2937,c_111864]) ).
tcf(c_113331,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2825,c_111864]) ).
tcf(c_113332,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2608,c_111864]) ).
tcf(c_113333,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_23 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_111864]) ).
tcf(c_113334,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),iPr_def_27),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_111864,c_15021]) ).
tcf(c_113335,plain,
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111864,c_639]) ).
tcf(c_113337,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),inverse(multiply(inverse(iPr_def_17),iPr_def_27))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111864,c_638]) ).
tcf(c_113338,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_111864,c_15079]) ).
tcf(c_113479,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76847,c_111865]) ).
tcf(c_113480,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76656,c_111865]) ).
tcf(c_113481,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76202,c_111865]) ).
tcf(c_113482,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72328,c_111865]) ).
tcf(c_113483,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69399,c_111865]) ).
tcf(c_113484,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67606,c_111865]) ).
tcf(c_113485,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26892,c_111865]) ).
tcf(c_113486,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23207,c_111865]) ).
tcf(c_113487,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21026,c_111865]) ).
tcf(c_113488,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12840,c_111865]) ).
tcf(c_113489,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12721,c_111865]) ).
tcf(c_113490,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3251,c_111865]) ).
tcf(c_113491,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3170,c_111865]) ).
tcf(c_113492,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3052,c_111865]) ).
tcf(c_113493,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2937,c_111865]) ).
tcf(c_113494,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2825,c_111865]) ).
tcf(c_113495,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2608,c_111865]) ).
tcf(c_113496,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_22 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_111865]) ).
tcf(c_113497,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),iPr_def_27),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_111865,c_15021]) ).
tcf(c_113498,plain,
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111865,c_639]) ).
tcf(c_113500,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),inverse(multiply(inverse(iPr_def_17),iPr_def_27))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111865,c_638]) ).
tcf(c_113501,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_111865,c_15079]) ).
tcf(c_113593,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76847,c_111866]) ).
tcf(c_113594,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76656,c_111866]) ).
tcf(c_113595,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_76202,c_111866]) ).
tcf(c_113596,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_72328,c_111866]) ).
tcf(c_113597,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_69399,c_111866]) ).
tcf(c_113598,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_17,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_67606,c_111866]) ).
tcf(c_113599,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_26892,c_111866]) ).
tcf(c_113600,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_23207,c_111866]) ).
tcf(c_113601,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_21026,c_111866]) ).
tcf(c_113602,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12840,c_111866]) ).
tcf(c_113603,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_12721,c_111866]) ).
tcf(c_113604,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3251,c_111866]) ).
tcf(c_113605,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3170,c_111866]) ).
tcf(c_113606,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_3052,c_111866]) ).
tcf(c_113607,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2937,c_111866]) ).
tcf(c_113608,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2825,c_111866]) ).
tcf(c_113609,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(iPr_def_15,iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_2608,c_111866]) ).
tcf(c_113610,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c11 = iPr_def_20 )
| ( inverse(multiply(inverse(iPr_def_14),iPr_def_27)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_41722,c_111866]) ).
tcf(c_113611,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_17),iPr_def_27),X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_111866,c_15021]) ).
tcf(c_113612,plain,
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_12
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),sk_c9) != sk_c11 )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111866,c_639]) ).
tcf(c_113614,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ~ iPr_def_13
| ( multiply(X0,sk_c9) != inverse(X0) )
| ( inverse(multiply(inverse(iPr_def_17),iPr_def_27)) != inverse(inverse(X0)) )
| ( multiply(inverse(multiply(inverse(iPr_def_17),iPr_def_27)),sk_c10) != sk_c11 )
| ( multiply(multiply(inverse(iPr_def_17),iPr_def_27),inverse(multiply(inverse(iPr_def_17),iPr_def_27))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_111866,c_638]) ).
tcf(c_113615,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_17),multiply(iPr_def_27,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_111866,c_15079]) ).
tcf(c_113766,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99241]) ).
tcf(c_113767,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99241]) ).
tcf(c_113768,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99241]) ).
tcf(c_113769,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_72325,c_99241]) ).
tcf(c_113770,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_69396,c_99241]) ).
tcf(c_113771,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_67603,c_99241]) ).
tcf(c_113778,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_26521,c_99241]) ).
tcf(c_113779,plain,
( ( identity = iPr_def_24 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_22804,c_99241]) ).
tcf(c_113780,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99241]) ).
tcf(c_113781,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_10688,c_99241]) ).
tcf(c_113782,plain,
( ( iPr_def_14 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_10535,c_99241]) ).
tcf(c_113783,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4915,c_99241]) ).
tcf(c_113784,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99241]) ).
tcf(c_113785,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99241]) ).
tcf(c_113786,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99241]) ).
tcf(c_113787,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4209,c_99241]) ).
tcf(c_113788,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_4084,c_99241]) ).
tcf(c_113789,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99241,c_15079]) ).
tcf(c_113790,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_99241,c_15021]) ).
tcf(c_113791,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99241,c_105]) ).
tcf(c_113792,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_99241,c_15079]) ).
tcf(c_113793,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_99241,c_15079]) ).
tcf(c_113794,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_99241,c_6524]) ).
tcf(c_113798,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99241,c_2664]) ).
tcf(c_113799,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_15)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99241,c_2662]) ).
tcf(c_113801,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_113790,c_99249]) ).
tcf(c_113863,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_20 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_15),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_113789,c_16750]) ).
tcf(c_114006,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_99328,c_99242]) ).
tcf(c_114046,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99242,c_15079]) ).
tcf(c_114047,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99242,c_15021]) ).
tcf(c_114048,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99242,c_105]) ).
tcf(c_114049,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99242,c_15079]) ).
tcf(c_114050,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99242,c_15079]) ).
tcf(c_114053,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99242,c_5968]) ).
tcf(c_114054,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99242,c_4296]) ).
tcf(c_114055,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99242,c_2664]) ).
tcf(c_114056,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99242,c_2662]) ).
tcf(c_114060,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_114047,c_99249]) ).
tcf(c_114069,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_114046,c_16750]) ).
tcf(c_114124,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_99328,c_99243]) ).
tcf(c_114159,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99243,c_15079]) ).
tcf(c_114160,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99243,c_15021]) ).
tcf(c_114161,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99243,c_105]) ).
tcf(c_114162,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99243,c_15079]) ).
tcf(c_114163,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_99243,c_15079]) ).
tcf(c_114166,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99243,c_5968]) ).
tcf(c_114167,plain,
( ( sk_c11 = iPr_def_17 )
| ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99243,c_4296]) ).
tcf(c_114168,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99243,c_2664]) ).
tcf(c_114169,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99243,c_2662]) ).
tcf(c_114173,plain,
( ( sk_c11 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_114160,c_99249]) ).
tcf(c_114182,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_14 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_114159,c_16750]) ).
tcf(c_114198,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2056,c_6721]) ).
tcf(c_114200,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1378,c_6721]) ).
tcf(c_114201,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1137,c_6721]) ).
tcf(c_114202,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1135,c_6721]) ).
tcf(c_114203,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1866,c_6721]) ).
tcf(c_114205,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1290,c_6721]) ).
tcf(c_114206,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1138,c_6721]) ).
tcf(c_114207,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1136,c_6721]) ).
tcf(c_114209,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,identity) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_29159,c_6721]) ).
tcf(c_114210,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6430,c_6721]) ).
tcf(c_114211,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6387,c_6721]) ).
tcf(c_114212,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6442,c_6721]) ).
tcf(c_114213,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c2 = iPr_def_27 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_6418,c_6721]) ).
tcf(c_114214,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,sk_c10)) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_14243,c_6721]) ).
tcf(c_114216,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_29164,c_6721]) ).
tcf(c_114222,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(sk_c7,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_6721,c_15079]) ).
tcf(c_114224,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_6721,c_105]) ).
tcf(c_114225,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(sk_c7,X1) ) ),
inference(superposition,[status(thm)],[c_6721,c_15079]) ).
tcf(c_114226,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c7)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6721,c_15079]) ).
tcf(c_114232,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_6721,c_5694]) ).
tcf(c_114267,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(sk_c7,multiply(X0,X1))) = multiply(X0,X1) ) ),
inference(light_normalisation,[status(thm)],[c_114224,c_29158,c_29247]) ).
tcf(c_114272,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(X0),multiply(iPr_def_16,multiply(sk_c7,multiply(X0,X1)))) = X1 ) ),
inference(light_normalisation,[status(thm)],[c_114222,c_29158,c_29247]) ).
tcf(c_114302,plain,
multiply(inverse(identity),inverse(sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_104,c_80975]) ).
tcf(c_114303,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c11))),multiply(X0,X1)) = iPr_def_15,
inference(superposition,[status(thm)],[c_105,c_80975]) ).
tcf(c_114305,plain,
multiply(inverse(identity),iPr_def_15) = iPr_def_15,
inference(superposition,[status(thm)],[c_1207,c_80975]) ).
tcf(c_114306,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c11)),sk_c10) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_23941,c_80975]) ).
tcf(c_114307,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c11)),iPr_def_23) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76524,c_80975]) ).
tcf(c_114309,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c11)),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_76523,c_80975]) ).
tcf(c_114310,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_38674,c_80975]) ).
tcf(c_114311,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37343,c_80975]) ).
tcf(c_114312,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c11),iPr_def_26) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21381,c_80975]) ).
tcf(c_114314,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_74415,c_80975]) ).
tcf(c_114315,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c11),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24127,c_80975]) ).
tcf(c_114316,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24107,c_80975]) ).
tcf(c_114317,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_24) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24087,c_80975]) ).
tcf(c_114318,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_64389,c_80975]) ).
tcf(c_114319,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c11),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27213,c_80975]) ).
tcf(c_114320,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27059,c_80975]) ).
tcf(c_114321,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_27017,c_80975]) ).
tcf(c_114322,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35960,c_80975]) ).
tcf(c_114323,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35915,c_80975]) ).
tcf(c_114324,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_35886,c_80975]) ).
tcf(c_114325,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34810,c_80975]) ).
tcf(c_114326,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34772,c_80975]) ).
tcf(c_114327,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34706,c_80975]) ).
tcf(c_114328,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32875,c_80975]) ).
tcf(c_114329,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32821,c_80975]) ).
tcf(c_114330,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(sk_c11),iPr_def_28) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32683,c_80975]) ).
tcf(c_114333,plain,
multiply(inverse(iPr_def_18),inverse(multiply(sk_c11,sk_c6))) = iPr_def_15,
inference(superposition,[status(thm)],[c_80973,c_80975]) ).
tcf(c_114334,plain,
multiply(inverse(iPr_def_19),inverse(multiply(sk_c11,sk_c7))) = iPr_def_15,
inference(superposition,[status(thm)],[c_80974,c_80975]) ).
tcf(c_114336,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_88993,c_80975]) ).
tcf(c_114337,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_79359,c_80975]) ).
tcf(c_114338,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_72594,c_80975]) ).
tcf(c_114339,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_70243,c_80975]) ).
tcf(c_114340,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_67780,c_80975]) ).
tcf(c_114341,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,identity)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_58560,c_80975]) ).
tcf(c_114342,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_57077,c_80975]) ).
tcf(c_114343,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55940,c_80975]) ).
tcf(c_114344,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55939,c_80975]) ).
tcf(c_114345,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_26)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_55123,c_80975]) ).
tcf(c_114346,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_54345,c_80975]) ).
tcf(c_114347,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_23)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50767,c_80975]) ).
tcf(c_114348,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50525,c_80975]) ).
tcf(c_114349,plain,
! [X0: $i] :
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50524,c_80975]) ).
tcf(c_114350,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_50389,c_80975]) ).
tcf(c_114351,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_47834,c_80975]) ).
tcf(c_114352,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_41741,c_80975]) ).
tcf(c_114353,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_22)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32441,c_80975]) ).
tcf(c_114354,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_20)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32440,c_80975]) ).
tcf(c_114355,plain,
! [X0: $i] :
( ( identity = iPr_def_28 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_32438,c_80975]) ).
tcf(c_114356,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26121,c_80975]) ).
tcf(c_114357,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26120,c_80975]) ).
tcf(c_114358,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_26119,c_80975]) ).
tcf(c_114359,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21920,c_80975]) ).
tcf(c_114360,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21919,c_80975]) ).
tcf(c_114361,plain,
! [X0: $i] :
( ( identity = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21918,c_80975]) ).
tcf(c_114362,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,iPr_def_25)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21608,c_80975]) ).
tcf(c_114363,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20561,c_80975]) ).
tcf(c_114364,plain,
! [X0: $i] :
( ( identity = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_20560,c_80975]) ).
tcf(c_114365,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12611,c_80975]) ).
tcf(c_114366,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_12609,c_80975]) ).
tcf(c_114370,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10426,c_80975]) ).
tcf(c_114371,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_10425,c_80975]) ).
tcf(c_114375,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9112,c_80975]) ).
tcf(c_114376,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9111,c_80975]) ).
tcf(c_114380,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1807,c_80975]) ).
tcf(c_114381,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1750,c_80975]) ).
tcf(c_114382,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1749,c_80975]) ).
tcf(c_114383,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1660,c_80975]) ).
tcf(c_114384,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1631,c_80975]) ).
tcf(c_114385,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1562,c_80975]) ).
tcf(c_114386,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1498,c_80975]) ).
tcf(c_114387,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1375,c_80975]) ).
tcf(c_114388,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_28)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1309,c_80975]) ).
tcf(c_114389,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1078,c_80975]) ).
tcf(c_114390,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1065,c_80975]) ).
tcf(c_114391,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1064,c_80975]) ).
tcf(c_114392,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1027,c_80975]) ).
tcf(c_114393,plain,
! [X0: $i] :
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1019,c_80975]) ).
tcf(c_114394,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),X0) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1007,c_80975]) ).
tcf(c_114404,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_15),multiply(inverse(multiply(X0,sk_c11)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_80975,c_15079]) ).
tcf(c_114405,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c11))),iPr_def_15) = X0,
inference(superposition,[status(thm)],[c_80975,c_15021]) ).
tcf(c_114407,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c11)))),multiply(X0,iPr_def_15)) = X1,
inference(superposition,[status(thm)],[c_80975,c_15079]) ).
tcf(c_114408,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),sk_c11)),X0)),iPr_def_15) = X1,
inference(superposition,[status(thm)],[c_80975,c_15079]) ).
tcf(c_114409,plain,
multiply(inverse(iPr_def_15),multiply(inverse(multiply(sk_c10,sk_c11)),iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_80975,c_80529]) ).
tcf(c_114410,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_15 )
| ( inverse(inverse(multiply(sk_c10,sk_c11))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_80975,c_640]) ).
tcf(c_114411,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(multiply(inverse(X0),sk_c11))) != iPr_def_15 )
| ( inverse(inverse(inverse(multiply(inverse(X0),sk_c11)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_80975,c_638]) ).
tcf(c_114412,plain,
multiply(inverse(iPr_def_15),inverse(multiply(sk_c11,sk_c11))) = iPr_def_15,
inference(superposition,[status(thm)],[c_80975,c_80975]) ).
tcf(c_114413,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_15 )
| ( inverse(inverse(multiply(sk_c11,sk_c11))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_80975,c_641]) ).
tcf(c_114414,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_17,sk_c11)),sk_c2)),iPr_def_15) = sk_c9,
inference(superposition,[status(thm)],[c_80975,c_80532]) ).
tcf(c_114415,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_20,sk_c11)),sk_c8)),iPr_def_15) = sk_c10,
inference(superposition,[status(thm)],[c_80975,c_80526]) ).
tcf(c_114416,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_14,sk_c11)),sk_c10)),iPr_def_15) = sk_c9,
inference(superposition,[status(thm)],[c_80975,c_80529]) ).
tcf(c_114417,plain,
inverse(multiply(identity,sk_c11)) = iPr_def_15,
inference(superposition,[status(thm)],[c_80975,c_16715]) ).
tcf(c_114418,plain,
multiply(inverse(iPr_def_15),inverse(multiply(sk_c7,sk_c11))) = iPr_def_19,
inference(superposition,[status(thm)],[c_80975,c_80974]) ).
tcf(c_114419,plain,
multiply(inverse(iPr_def_15),inverse(multiply(sk_c6,sk_c11))) = iPr_def_18,
inference(superposition,[status(thm)],[c_80975,c_80973]) ).
tcf(c_114420,plain,
multiply(inverse(iPr_def_15),multiply(inverse(multiply(sk_c8,sk_c11)),iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_80975,c_80526]) ).
tcf(c_114421,plain,
multiply(inverse(iPr_def_15),multiply(inverse(multiply(sk_c2,sk_c11)),iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_80975,c_80532]) ).
tcf(c_114422,plain,
multiply(identity,iPr_def_15) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_114305,c_16750]) ).
tcf(c_114424,plain,
multiply(sk_c11,inverse(multiply(sk_c6,sk_c11))) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_114419,c_19364]) ).
tcf(c_114425,plain,
multiply(sk_c11,inverse(multiply(sk_c7,sk_c11))) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_114418,c_19364]) ).
tcf(c_114426,plain,
multiply(sk_c11,inverse(multiply(sk_c11,sk_c11))) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_114412,c_19364]) ).
tcf(c_114427,plain,
multiply(sk_c7,inverse(multiply(sk_c11,sk_c7))) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_114334,c_29247]) ).
tcf(c_114428,plain,
multiply(sk_c6,inverse(multiply(sk_c11,sk_c6))) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_114333,c_31945]) ).
tcf(c_114429,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114330,c_623]) ).
tcf(c_114432,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114329,c_623]) ).
tcf(c_114435,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114328,c_623]) ).
tcf(c_114438,plain,
( ( identity = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114327,c_623]) ).
tcf(c_114441,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114326,c_623]) ).
tcf(c_114444,plain,
( ( identity = iPr_def_24 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114325,c_623]) ).
tcf(c_114447,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114324,c_623]) ).
tcf(c_114450,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114323,c_623]) ).
tcf(c_114453,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,iPr_def_28) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114322,c_623]) ).
tcf(c_114456,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114321,c_623]) ).
tcf(c_114459,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114320,c_623]) ).
tcf(c_114462,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114319,c_623]) ).
tcf(c_114465,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114318,c_623]) ).
tcf(c_114468,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114317,c_623]) ).
tcf(c_114471,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114316,c_623]) ).
tcf(c_114474,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114315,c_623]) ).
tcf(c_114477,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_24) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114314,c_623]) ).
tcf(c_114480,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114312,c_623]) ).
tcf(c_114483,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114311,c_623]) ).
tcf(c_114486,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_26) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_114310,c_623]) ).
tcf(c_114489,plain,
multiply(sk_c11,multiply(inverse(multiply(sk_c2,sk_c11)),iPr_def_17)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_114421,c_19364]) ).
tcf(c_114490,plain,
multiply(sk_c11,multiply(inverse(multiply(sk_c8,sk_c11)),iPr_def_20)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_114420,c_19364]) ).
tcf(c_114491,plain,
multiply(sk_c11,multiply(inverse(multiply(sk_c10,sk_c11)),iPr_def_14)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_114409,c_19364]) ).
tcf(c_115202,plain,
( ( sk_c11 = iPr_def_20 )
| ( multiply(sk_c9,inverse(iPr_def_17)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_111866,c_80976]) ).
tcf(c_115203,plain,
( ( sk_c11 = iPr_def_22 )
| ( multiply(sk_c9,inverse(iPr_def_17)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_111865,c_80976]) ).
tcf(c_115204,plain,
( ( sk_c10 = iPr_def_23 )
| ( multiply(sk_c9,inverse(iPr_def_17)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_111864,c_80976]) ).
tcf(c_115205,plain,
( ( sk_c11 = iPr_def_25 )
| ( multiply(sk_c9,inverse(iPr_def_17)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_111863,c_80976]) ).
tcf(c_115206,plain,
( ( sk_c10 = iPr_def_26 )
| ( multiply(sk_c9,inverse(iPr_def_17)) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_111862,c_80976]) ).
tcf(c_115208,plain,
multiply(inverse(identity),inverse(iPr_def_27)) = sk_c1,
inference(superposition,[status(thm)],[c_104,c_80976]) ).
tcf(c_115209,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,iPr_def_27))),multiply(X0,X1)) = sk_c1,
inference(superposition,[status(thm)],[c_105,c_80976]) ).
tcf(c_115210,plain,
multiply(inverse(identity),sk_c1) = sk_c1,
inference(superposition,[status(thm)],[c_32413,c_80976]) ).
tcf(c_115211,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_27)),sk_c10) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_23941,c_80976]) ).
tcf(c_115212,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_27)),iPr_def_23) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_76524,c_80976]) ).
tcf(c_115213,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(iPr_def_14,iPr_def_27)),iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_76523,c_80976]) ).
tcf(c_115214,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_38674,c_80976]) ).
tcf(c_115215,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_37343,c_80976]) ).
tcf(c_115216,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_27),iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_21381,c_80976]) ).
tcf(c_115217,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_24) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_74415,c_80976]) ).
tcf(c_115218,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_27),iPr_def_24) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_24127,c_80976]) ).
tcf(c_115219,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_24) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_24107,c_80976]) ).
tcf(c_115220,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_24) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_24087,c_80976]) ).
tcf(c_115221,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_22) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_64389,c_80976]) ).
tcf(c_115222,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_27),iPr_def_22) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27213,c_80976]) ).
tcf(c_115223,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_22) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27059,c_80976]) ).
tcf(c_115224,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_27),iPr_def_22) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_27017,c_80976]) ).
tcf(c_115225,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_35960,c_80976]) ).
tcf(c_115226,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_35915,c_80976]) ).
tcf(c_115227,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_35886,c_80976]) ).
tcf(c_115228,plain,
( ( identity = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34810,c_80976]) ).
tcf(c_115229,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34772,c_80976]) ).
tcf(c_115230,plain,
( ( identity = iPr_def_26 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_34706,c_80976]) ).
tcf(c_115231,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_32875,c_80976]) ).
tcf(c_115232,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_32821,c_80976]) ).
tcf(c_115233,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_27),iPr_def_28) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_32683,c_80976]) ).
tcf(c_115234,plain,
multiply(inverse(iPr_def_18),inverse(multiply(iPr_def_27,sk_c6))) = sk_c1,
inference(superposition,[status(thm)],[c_80973,c_80976]) ).
tcf(c_115235,plain,
multiply(inverse(iPr_def_19),inverse(multiply(iPr_def_27,sk_c7))) = sk_c1,
inference(superposition,[status(thm)],[c_80974,c_80976]) ).
tcf(c_115236,plain,
multiply(inverse(iPr_def_15),inverse(multiply(iPr_def_27,sk_c11))) = sk_c1,
inference(superposition,[status(thm)],[c_80975,c_80976]) ).
tcf(c_115238,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c1),multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_80976,c_15079]) ).
tcf(c_115239,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,iPr_def_27))),sk_c1) = X0,
inference(superposition,[status(thm)],[c_80976,c_15021]) ).
tcf(c_115241,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,iPr_def_27)))),multiply(X0,sk_c1)) = X1,
inference(superposition,[status(thm)],[c_80976,c_15079]) ).
tcf(c_115242,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(multiply(X0,X1),iPr_def_27)),X0)),sk_c1) = X1,
inference(superposition,[status(thm)],[c_80976,c_15079]) ).
tcf(c_115243,plain,
multiply(inverse(sk_c1),multiply(inverse(multiply(sk_c10,iPr_def_27)),iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_80976,c_80529]) ).
tcf(c_115244,plain,
( ~ iPr_def_11
| ( sk_c9 != sk_c1 )
| ( inverse(inverse(multiply(sk_c10,iPr_def_27))) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_80976,c_640]) ).
tcf(c_115245,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(multiply(inverse(X0),iPr_def_27))) != sk_c1 )
| ( inverse(inverse(inverse(multiply(inverse(X0),iPr_def_27)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_80976,c_638]) ).
tcf(c_115246,plain,
multiply(inverse(sk_c1),inverse(multiply(sk_c11,iPr_def_27))) = iPr_def_15,
inference(superposition,[status(thm)],[c_80976,c_80975]) ).
tcf(c_115247,plain,
( ~ iPr_def_10
| ( sk_c10 != sk_c1 )
| ( inverse(inverse(multiply(sk_c11,iPr_def_27))) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_80976,c_641]) ).
tcf(c_115248,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_17,iPr_def_27)),sk_c2)),sk_c1) = sk_c9,
inference(superposition,[status(thm)],[c_80976,c_80532]) ).
tcf(c_115249,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_20,iPr_def_27)),sk_c8)),sk_c1) = sk_c10,
inference(superposition,[status(thm)],[c_80976,c_80526]) ).
tcf(c_115250,plain,
multiply(inverse(sk_c1),inverse(multiply(iPr_def_27,iPr_def_27))) = sk_c1,
inference(superposition,[status(thm)],[c_80976,c_80976]) ).
tcf(c_115251,plain,
multiply(inverse(multiply(inverse(multiply(iPr_def_14,iPr_def_27)),sk_c10)),sk_c1) = sk_c9,
inference(superposition,[status(thm)],[c_80976,c_80529]) ).
tcf(c_115252,plain,
inverse(multiply(identity,iPr_def_27)) = sk_c1,
inference(superposition,[status(thm)],[c_80976,c_16715]) ).
tcf(c_115253,plain,
multiply(inverse(sk_c1),inverse(multiply(sk_c7,iPr_def_27))) = iPr_def_19,
inference(superposition,[status(thm)],[c_80976,c_80974]) ).
tcf(c_115254,plain,
multiply(inverse(sk_c1),inverse(multiply(sk_c6,iPr_def_27))) = iPr_def_18,
inference(superposition,[status(thm)],[c_80976,c_80973]) ).
tcf(c_115255,plain,
multiply(inverse(sk_c1),multiply(inverse(multiply(sk_c8,iPr_def_27)),iPr_def_20)) = sk_c10,
inference(superposition,[status(thm)],[c_80976,c_80526]) ).
tcf(c_115256,plain,
multiply(inverse(sk_c1),multiply(inverse(multiply(sk_c2,iPr_def_27)),iPr_def_17)) = sk_c9,
inference(superposition,[status(thm)],[c_80976,c_80532]) ).
tcf(c_115257,plain,
multiply(identity,sk_c1) = sk_c1,
inference(light_normalisation,[status(thm)],[c_115210,c_16750]) ).
tcf(c_115259,plain,
multiply(iPr_def_27,inverse(multiply(sk_c6,iPr_def_27))) = iPr_def_18,
inference(light_normalisation,[status(thm)],[c_115254,c_635]) ).
tcf(c_115260,plain,
multiply(iPr_def_27,inverse(multiply(sk_c7,iPr_def_27))) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_115253,c_635]) ).
tcf(c_115261,plain,
multiply(iPr_def_27,inverse(multiply(iPr_def_27,iPr_def_27))) = sk_c1,
inference(light_normalisation,[status(thm)],[c_115250,c_635]) ).
tcf(c_115262,plain,
multiply(iPr_def_27,inverse(multiply(sk_c11,iPr_def_27))) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_115246,c_635]) ).
tcf(c_115263,plain,
multiply(sk_c11,inverse(multiply(iPr_def_27,sk_c11))) = sk_c1,
inference(light_normalisation,[status(thm)],[c_115236,c_19364]) ).
tcf(c_115264,plain,
multiply(sk_c7,inverse(multiply(iPr_def_27,sk_c7))) = sk_c1,
inference(light_normalisation,[status(thm)],[c_115235,c_29247]) ).
tcf(c_115265,plain,
multiply(sk_c6,inverse(multiply(iPr_def_27,sk_c6))) = sk_c1,
inference(light_normalisation,[status(thm)],[c_115234,c_31945]) ).
tcf(c_115266,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115233,c_32919]) ).
tcf(c_115269,plain,
( ( iPr_def_18 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115232,c_32919]) ).
tcf(c_115272,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115231,c_32919]) ).
tcf(c_115275,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115230,c_32919]) ).
tcf(c_115278,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115229,c_32919]) ).
tcf(c_115281,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115228,c_32919]) ).
tcf(c_115284,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115227,c_32919]) ).
tcf(c_115287,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115226,c_32919]) ).
tcf(c_115290,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_28) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115225,c_32919]) ).
tcf(c_115293,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_22) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115224,c_32919]) ).
tcf(c_115296,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_22) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115223,c_32919]) ).
tcf(c_115299,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_22) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115222,c_32919]) ).
tcf(c_115302,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_22) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115221,c_32919]) ).
tcf(c_115305,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_24) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115220,c_32919]) ).
tcf(c_115308,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_24) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115219,c_32919]) ).
tcf(c_115311,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_24) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115218,c_32919]) ).
tcf(c_115314,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_24) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115217,c_32919]) ).
tcf(c_115317,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_26) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115216,c_32919]) ).
tcf(c_115320,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_26) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115215,c_32919]) ).
tcf(c_115323,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_26) = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_115214,c_32919]) ).
tcf(c_115336,plain,
multiply(iPr_def_27,multiply(inverse(multiply(sk_c2,iPr_def_27)),iPr_def_17)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_115256,c_635]) ).
tcf(c_115337,plain,
multiply(iPr_def_27,multiply(inverse(multiply(sk_c8,iPr_def_27)),iPr_def_20)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_115255,c_635]) ).
tcf(c_115338,plain,
multiply(iPr_def_27,multiply(inverse(multiply(sk_c10,iPr_def_27)),iPr_def_14)) = sk_c9,
inference(light_normalisation,[status(thm)],[c_115243,c_635]) ).
tcf(c_115494,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_99244]) ).
tcf(c_115496,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_99325,c_99244]) ).
tcf(c_115497,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_99244]) ).
tcf(c_115503,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99244]) ).
tcf(c_115504,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99244]) ).
tcf(c_115505,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99244]) ).
tcf(c_115509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_23,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99244]) ).
tcf(c_115510,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99244]) ).
tcf(c_115511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_25,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99244]) ).
tcf(c_115512,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99244]) ).
tcf(c_115513,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(sk_c3,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99244]) ).
tcf(c_115514,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(sk_c4,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99244]) ).
tcf(c_115517,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99244]) ).
tcf(c_115521,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99244]) ).
tcf(c_115522,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99244]) ).
tcf(c_115523,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99244]) ).
tcf(c_115528,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_20)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_99244]) ).
tcf(c_115529,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_25)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_99244]) ).
tcf(c_115530,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_99244]) ).
tcf(c_115531,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_22)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_99244]) ).
tcf(c_115532,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_99244]) ).
tcf(c_115533,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_99244]) ).
tcf(c_115535,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99244,c_15079]) ).
tcf(c_115536,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99244,c_15021]) ).
tcf(c_115537,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99244,c_105]) ).
tcf(c_115538,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99244,c_15079]) ).
tcf(c_115539,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99244,c_15079]) ).
tcf(c_115542,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99244,c_5968]) ).
tcf(c_115543,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99244,c_4296]) ).
tcf(c_115544,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99244,c_2664]) ).
tcf(c_115545,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99244,c_2662]) ).
tcf(c_115549,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_115536,c_99249]) ).
tcf(c_115577,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,sk_c11) = identity ) ),
inference(light_normalisation,[status(thm)],[c_115511,c_5985]) ).
tcf(c_115620,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_115535,c_16750]) ).
tcf(c_115713,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_99245]) ).
tcf(c_115715,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_99325,c_99245]) ).
tcf(c_115716,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_99245]) ).
tcf(c_115722,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_99245]) ).
tcf(c_115723,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_99245]) ).
tcf(c_115724,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_99245]) ).
tcf(c_115728,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_23,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99245]) ).
tcf(c_115729,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99245]) ).
tcf(c_115730,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_25,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99245]) ).
tcf(c_115731,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99245]) ).
tcf(c_115732,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(sk_c3,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99245]) ).
tcf(c_115733,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(sk_c4,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99245]) ).
tcf(c_115736,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_99245]) ).
tcf(c_115740,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_99245]) ).
tcf(c_115741,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_99245]) ).
tcf(c_115742,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_99245]) ).
tcf(c_115749,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99245,c_15079]) ).
tcf(c_115750,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99245,c_15021]) ).
tcf(c_115751,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99245,c_105]) ).
tcf(c_115752,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99245,c_15079]) ).
tcf(c_115753,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_99245,c_15079]) ).
tcf(c_115756,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99245,c_5968]) ).
tcf(c_115757,plain,
( ( sk_c11 = iPr_def_28 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99245,c_4296]) ).
tcf(c_115758,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99245,c_2664]) ).
tcf(c_115759,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99245,c_2662]) ).
tcf(c_115763,plain,
( ( sk_c11 = iPr_def_28 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_115750,c_99249]) ).
tcf(c_115782,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_28 )
| ( multiply(sk_c9,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_115733,c_21893]) ).
tcf(c_115818,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_28 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_115749,c_16750]) ).
tcf(c_116031,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_99246]) ).
tcf(c_116034,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_99246]) ).
tcf(c_116046,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_23,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99246]) ).
tcf(c_116047,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99246]) ).
tcf(c_116048,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_25,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99246]) ).
tcf(c_116049,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99246]) ).
tcf(c_116050,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(sk_c3,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99246]) ).
tcf(c_116051,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(sk_c4,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99246]) ).
tcf(c_116065,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_20)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_99246]) ).
tcf(c_116066,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_25)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_99246]) ).
tcf(c_116067,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_99246]) ).
tcf(c_116068,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_22)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_99246]) ).
tcf(c_116069,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_99246]) ).
tcf(c_116070,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_99246]) ).
tcf(c_116072,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99246,c_15079]) ).
tcf(c_116073,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99246,c_15021]) ).
tcf(c_116074,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99246,c_105]) ).
tcf(c_116075,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_99246,c_15079]) ).
tcf(c_116076,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_99246,c_15079]) ).
tcf(c_116079,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99246,c_5968]) ).
tcf(c_116080,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99246,c_4296]) ).
tcf(c_116081,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99246,c_2664]) ).
tcf(c_116082,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99246,c_2662]) ).
tcf(c_116086,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_116073,c_99249]) ).
tcf(c_116106,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,sk_c11) = identity ) ),
inference(light_normalisation,[status(thm)],[c_116048,c_5985]) ).
tcf(c_116137,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_116072,c_16750]) ).
tcf(c_116356,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_99333,c_99247]) ).
tcf(c_116359,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_91302,c_99247]) ).
tcf(c_116371,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_23,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_99247]) ).
tcf(c_116372,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_99247]) ).
tcf(c_116373,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_25,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_99247]) ).
tcf(c_116374,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_99247]) ).
tcf(c_116375,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(sk_c3,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_99247]) ).
tcf(c_116376,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(sk_c4,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_99247]) ).
tcf(c_116392,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(identity),multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_99247,c_15079]) ).
tcf(c_116393,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(sk_c9),identity) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99247,c_15021]) ).
tcf(c_116394,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_99247,c_105]) ).
tcf(c_116395,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(X0,sk_c9)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_99247,c_15079]) ).
tcf(c_116396,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(multiply(sk_c9,inverse(iPr_def_14))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_99247,c_15079]) ).
tcf(c_116399,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_99247,c_5968]) ).
tcf(c_116400,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_99247,c_4296]) ).
tcf(c_116401,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_17,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c2,identity) ) ),
inference(superposition,[status(thm)],[c_99247,c_2664]) ).
tcf(c_116402,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(sk_c10,identity) ) ),
inference(superposition,[status(thm)],[c_99247,c_2662]) ).
tcf(c_116406,plain,
( ( sk_c11 = iPr_def_17 )
| ( multiply(inverse(iPr_def_14),sk_c10) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_116393,c_99249]) ).
tcf(c_116417,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c11 = iPr_def_17 )
| ( multiply(sk_c9,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_116376,c_21893]) ).
tcf(c_116441,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_17 )
| ( multiply(identity,multiply(sk_c9,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_116392,c_16750]) ).
tcf(c_116552,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_106884]) ).
tcf(c_116553,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_106884]) ).
tcf(c_116554,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_60178,c_106884]) ).
tcf(c_116555,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_58244,c_106884]) ).
tcf(c_116556,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_27207,c_106884]) ).
tcf(c_116557,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_24946,c_106884]) ).
tcf(c_116559,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_106884]) ).
tcf(c_116560,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_106884]) ).
tcf(c_116561,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_106884]) ).
tcf(c_116565,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_106884]) ).
tcf(c_116566,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_106884]) ).
tcf(c_116567,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_106884]) ).
tcf(c_116568,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_106884]) ).
tcf(c_116569,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(sk_c3,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_106884]) ).
tcf(c_116570,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(sk_c4,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_106884]) ).
tcf(c_116573,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_106884]) ).
tcf(c_116577,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_106884]) ).
tcf(c_116578,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_106884]) ).
tcf(c_116579,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_26)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_106884]) ).
tcf(c_116584,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_20)) = identity ) ),
inference(superposition,[status(thm)],[c_57538,c_106884]) ).
tcf(c_116585,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_25)) = identity ) ),
inference(superposition,[status(thm)],[c_56276,c_106884]) ).
tcf(c_116586,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_15)) = identity ) ),
inference(superposition,[status(thm)],[c_56264,c_106884]) ).
tcf(c_116587,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_22)) = identity ) ),
inference(superposition,[status(thm)],[c_27210,c_106884]) ).
tcf(c_116588,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_24)) = identity ) ),
inference(superposition,[status(thm)],[c_24123,c_106884]) ).
tcf(c_116589,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(inverse(iPr_def_14),iPr_def_14)) = identity ) ),
inference(superposition,[status(thm)],[c_12691,c_106884]) ).
tcf(c_116591,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_106884,c_15079]) ).
tcf(c_116592,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_26) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_106884,c_15021]) ).
tcf(c_116593,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_106884,c_105]) ).
tcf(c_116594,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_106884,c_15079]) ).
tcf(c_116595,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_14))),identity) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_106884,c_15079]) ).
tcf(c_116596,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_106884,c_74415]) ).
tcf(c_116598,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_106884,c_24127]) ).
tcf(c_116599,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_106884,c_24107]) ).
tcf(c_116600,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_106884,c_24087]) ).
tcf(c_116601,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_26)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_106884,c_5756]) ).
tcf(c_116641,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,sk_c11) = identity ) ),
inference(light_normalisation,[status(thm)],[c_116567,c_5985]) ).
tcf(c_116660,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_116593,c_103]) ).
tcf(c_116699,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_14),iPr_def_26) ) ),
inference(light_normalisation,[status(thm)],[c_116594,c_16715]) ).
tcf(c_116702,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_26),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_116591,c_16750]) ).
tcf(c_141493,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_75026,c_106886]) ).
tcf(c_141494,plain,
( ( iPr_def_15 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_75025,c_106886]) ).
tcf(c_141495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_60178,c_106886]) ).
tcf(c_141496,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_15,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_58244,c_106886]) ).
tcf(c_141497,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_22,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_27207,c_106886]) ).
tcf(c_141498,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_23,multiply(inverse(iPr_def_14),iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_24946,c_106886]) ).
tcf(c_141500,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76844,c_106886]) ).
tcf(c_141501,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76653,c_106886]) ).
tcf(c_141502,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_76199,c_106886]) ).
tcf(c_141506,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_53428,c_106886]) ).
tcf(c_141507,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_49974,c_106886]) ).
tcf(c_141508,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_25,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_47346,c_106886]) ).
tcf(c_141509,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_14,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36857,c_106886]) ).
tcf(c_141510,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(sk_c3,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_36758,c_106886]) ).
tcf(c_141511,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(sk_c4,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_23245,c_106886]) ).
tcf(c_141514,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_20826,c_106886]) ).
tcf(c_141518,plain,
( ( iPr_def_20 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4663,c_106886]) ).
tcf(c_141519,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4488,c_106886]) ).
tcf(c_141520,plain,
( ( iPr_def_20 = iPr_def_22 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(iPr_def_15,iPr_def_23)) = identity ) ),
inference(superposition,[status(thm)],[c_4356,c_106886]) ).
tcf(c_141527,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(identity),multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_106886,c_15079]) ).
tcf(c_141528,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_23) = multiply(inverse(iPr_def_24),identity) ) ),
inference(superposition,[status(thm)],[c_106886,c_15021]) ).
tcf(c_141529,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_106886,c_105]) ).
tcf(c_141530,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,identity)) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_106886,c_15079]) ).
tcf(c_141531,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(iPr_def_24,inverse(iPr_def_14))),identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_106886,c_15079]) ).
tcf(c_141532,plain,
( ( iPr_def_15 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_106886,c_74415]) ).
tcf(c_141534,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_106886,c_24127]) ).
tcf(c_141535,plain,
( ( iPr_def_17 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_106886,c_24107]) ).
tcf(c_141536,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_23) = identity ) ),
inference(superposition,[status(thm)],[c_106886,c_24087]) ).
tcf(c_141537,plain,
( ( sk_c10 = iPr_def_15 )
| ( multiply(sk_c10,multiply(inverse(iPr_def_14),iPr_def_23)) = multiply(iPr_def_23,identity) ) ),
inference(superposition,[status(thm)],[c_106886,c_5756]) ).
tcf(c_141568,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,identity) = identity ) ),
inference(light_normalisation,[status(thm)],[c_141511,c_21893]) ).
tcf(c_141596,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_141529,c_103]) ).
tcf(c_141617,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(inverse(multiply(X0,iPr_def_24)),X0) = multiply(inverse(iPr_def_14),iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_141530,c_16715]) ).
tcf(c_141620,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_15 )
| ( multiply(identity,multiply(iPr_def_24,multiply(multiply(inverse(iPr_def_14),iPr_def_23),X0))) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_141527,c_16750]) ).
tcf(c_164406,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_141620,c_141617,c_141596,c_141568,c_141537,c_141531,c_141530,c_141529,c_141528,c_141527,c_141520,c_141519,c_141518,c_141514,c_141511,c_141510,c_141509,c_141508,c_141507,c_141506,c_141502,c_141501,c_141500,c_141498,c_141497,c_141496,c_141495,c_141494,c_141493,c_141536,c_141535,c_141534,c_141532,c_116702,c_116699,c_116660,c_116641,c_116601,c_116595,c_116594,c_116593,c_116592,c_116591,c_116589,c_116588,c_116587,c_116586,c_116585,c_116584,c_116579,c_116578,c_116577,c_116573,c_116570,c_116569,c_116568,c_116567,c_116566,c_116565,c_116561,c_116560,c_116559,c_116557,c_116556,c_116555,c_116554,c_116553,c_116552,c_116600,c_116599,c_116598,c_116596,c_116441,c_116417,c_116406,c_116402,c_116401,c_116400,c_116399,c_116396,c_116395,c_116394,c_116393,c_116392,c_116376,c_116375,c_116374,c_116373,c_116372,c_116371,c_116359,c_116356,c_116137,c_116106,c_116086,c_116082,c_116081,c_116080,c_116079,c_116076,c_116075,c_116074,c_116073,c_116072,c_116070,c_116069,c_116068,c_116067,c_116066,c_116065,c_116051,c_116050,c_116049,c_116048,c_116047,c_116046,c_116034,c_116031,c_115818,c_115782,c_115763,c_115759,c_115758,c_115757,c_115756,c_115753,c_115752,c_115751,c_115750,c_115749,c_115742,c_115741,c_115740,c_115736,c_115733,c_115732,c_115731,c_115730,c_115729,c_115728,c_115724,c_115723,c_115722,c_115716,c_115715,c_115713,c_115620,c_115577,c_115549,c_115545,c_115544,c_115543,c_115542,c_115539,c_115538,c_115537,c_115536,c_115535,c_115533,c_115532,c_115531,c_115530,c_115529,c_115528,c_115523,c_115522,c_115521,c_115517,c_115514,c_115513,c_115512,c_115511,c_115510,c_115509,c_115505,c_115504,c_115503,c_115497,c_115496,c_115494,c_115338,c_115337,c_115336,c_115323,c_115320,c_115317,c_115314,c_115311,c_115308,c_115305,c_115302,c_115299,c_115296,c_115293,c_115290,c_115287,c_115284,c_115281,c_115278,c_115275,c_115272,c_115269,c_115266,c_115265,c_115264,c_115263,c_115262,c_115261,c_115260,c_115259,c_115256,c_115255,c_115254,c_115253,c_115251,c_115249,c_115248,c_115247,c_115246,c_115245,c_115244,c_115243,c_115242,c_115241,c_115239,c_115238,c_115250,c_115236,c_115235,c_115234,c_115233,c_115232,c_115231,c_115230,c_115229,c_115228,c_115227,c_115226,c_115225,c_115224,c_115223,c_115222,c_115221,c_115220,c_115219,c_115218,c_115217,c_115216,c_115215,c_115214,c_115213,c_115212,c_115211,c_115210,c_115209,c_115208,c_115206,c_115205,c_115204,c_115203,c_115202,c_115252,c_114491,c_114490,c_114489,c_114486,c_114483,c_114480,c_114477,c_114474,c_114471,c_114468,c_114465,c_114462,c_114459,c_114456,c_114453,c_114450,c_114447,c_114444,c_114441,c_114438,c_114435,c_114432,c_114429,c_114428,c_114427,c_114426,c_114425,c_114424,c_114421,c_114420,c_114419,c_114418,c_114416,c_114415,c_114414,c_114413,c_114411,c_114410,c_114409,c_114408,c_114407,c_114405,c_114404,c_114394,c_114393,c_114392,c_114391,c_114390,c_114389,c_114388,c_114387,c_114386,c_114385,c_114384,c_114383,c_114382,c_114381,c_114380,c_114376,c_114375,c_114371,c_114370,c_114366,c_114365,c_114364,c_114363,c_114362,c_114361,c_114360,c_114359,c_114358,c_114357,c_114356,c_114355,c_114354,c_114353,c_114352,c_114351,c_114350,c_114349,c_114348,c_114347,c_114346,c_114345,c_114344,c_114343,c_114342,c_114341,c_114340,c_114339,c_114338,c_114337,c_114336,c_114412,c_114334,c_114333,c_114330,c_114329,c_114328,c_114327,c_114326,c_114325,c_114324,c_114323,c_114322,c_114321,c_114320,c_114319,c_114318,c_114317,c_114316,c_114315,c_114314,c_114312,c_114311,c_114310,c_114309,c_114307,c_114306,c_114305,c_114303,c_114302,c_114417,c_114272,c_114267,c_114216,c_114213,c_114212,c_114211,c_114210,c_114209,c_114182,c_114173,c_114169,c_114168,c_114167,c_114166,c_114163,c_114162,c_114161,c_114160,c_114159,c_114124,c_114069,c_114060,c_114056,c_114055,c_114054,c_114053,c_114050,c_114049,c_114048,c_114047,c_114046,c_114006,c_113863,c_113801,c_113799,c_113798,c_113794,c_113793,c_113792,c_113791,c_113790,c_113789,c_113788,c_113787,c_113786,c_113785,c_113784,c_113783,c_113782,c_113781,c_113780,c_113779,c_113778,c_113771,c_113770,c_113769,c_113768,c_113767,c_113766,c_113615,c_113614,c_113612,c_113611,c_113610,c_113609,c_113608,c_113607,c_113606,c_113605,c_113604,c_113603,c_113602,c_113601,c_113600,c_113599,c_113598,c_113597,c_113596,c_113595,c_113594,c_113593,c_113501,c_113500,c_113498,c_113497,c_113496,c_113495,c_113494,c_113493,c_113492,c_113491,c_113490,c_113489,c_113488,c_113487,c_113486,c_113485,c_113484,c_113483,c_113482,c_113481,c_113480,c_113479,c_113338,c_113337,c_113335,c_113334,c_113333,c_113332,c_113331,c_113330,c_113329,c_113328,c_113327,c_113326,c_113325,c_113324,c_113323,c_113322,c_113321,c_113320,c_113319,c_113318,c_113317,c_113316,c_113153,c_113152,c_113150,c_113149,c_113148,c_113147,c_113146,c_113145,c_113144,c_113143,c_113142,c_113141,c_113140,c_113139,c_113138,c_113137,c_113136,c_113135,c_113134,c_113133,c_113132,c_113131,c_113015,c_113014,c_113012,c_113011,c_113010,c_113009,c_113008,c_113007,c_113006,c_113005,c_113004,c_113003,c_113002,c_113001,c_113000,c_112999,c_112998,c_112997,c_112996,c_112995,c_112994,c_112993,c_112842,c_112841,c_112840,c_112837,c_112834,c_112831,c_112828,c_112825,c_112822,c_112819,c_112816,c_112813,c_112810,c_112807,c_112804,c_112801,c_112798,c_112795,c_112792,c_112789,c_112786,c_112783,c_112780,c_112779,c_112778,c_112777,c_112775,c_112774,c_112773,c_112772,c_112769,c_112768,c_112767,c_112766,c_112765,c_112764,c_112763,c_112762,c_112761,c_112759,c_112758,c_112771,c_112751,c_112750,c_112749,c_112748,c_112747,c_112746,c_112745,c_112744,c_112743,c_112742,c_112741,c_112740,c_112739,c_112738,c_112737,c_112736,c_112735,c_112734,c_112733,c_112732,c_112731,c_112730,c_112729,c_112728,c_112727,c_112726,c_112725,c_112770,c_112556,c_112555,c_112554,c_112551,c_112548,c_112545,c_112542,c_112539,c_112536,c_112533,c_112530,c_112527,c_112524,c_112521,c_112518,c_112515,c_112512,c_112509,c_112506,c_112503,c_112500,c_112497,c_112494,c_112493,c_112491,c_112490,c_112489,c_112486,c_112485,c_112484,c_112483,c_112482,c_112481,c_112480,c_112479,c_112478,c_112476,c_112475,c_112473,c_112471,c_112469,c_112467,c_112465,c_112488,c_112458,c_112457,c_112456,c_112455,c_112454,c_112453,c_112452,c_112451,c_112450,c_112449,c_112448,c_112447,c_112446,c_112445,c_112444,c_112443,c_112442,c_112441,c_112440,c_112439,c_112438,c_112437,c_112436,c_112435,c_112434,c_112433,c_112487,c_112405,c_112404,c_112403,c_112401,c_112398,c_112397,c_112396,c_112389,c_112388,c_112387,c_112155,c_112154,c_112153,c_112152,c_112151,c_112150,c_112149,c_112148,c_112147,c_112146,c_112145,c_112144,c_112138,c_112137,c_112142,c_112143,c_112141,c_112140,c_112139,c_112131,c_112130,c_112129,c_112128,c_112127,c_112126,c_112125,c_112124,c_112123,c_112122,c_112121,c_112120,c_112119,c_112118,c_112117,c_112116,c_112115,c_112114,c_112113,c_112112,c_112111,c_112110,c_112109,c_112108,c_112107,c_112106,c_112105,c_112104,c_112103,c_112102,c_112101,c_111935,c_111931,c_111872,c_111871,c_111870,c_111869,c_111868,c_111867,c_111861,c_111860,c_111865,c_111866,c_111864,c_111863,c_111862,c_111854,c_111853,c_111852,c_111851,c_111850,c_111849,c_111848,c_111847,c_111846,c_111845,c_111844,c_111843,c_111842,c_111841,c_111840,c_111839,c_111838,c_111837,c_111836,c_111835,c_111834,c_111833,c_111832,c_111711,c_111649,c_111647,c_111646,c_111643,c_111642,c_111641,c_111640,c_111639,c_111638,c_111637,c_111636,c_111635,c_111634,c_111633,c_111632,c_111631,c_111630,c_111629,c_111628,c_111627,c_111626,c_111619,c_111618,c_111617,c_111616,c_111615,c_111614,c_111591,c_111549,c_111530,c_111528,c_111527,c_111526,c_111525,c_111522,c_111521,c_111520,c_111519,c_111518,c_111511,c_111510,c_111509,c_111505,c_111502,c_111501,c_111500,c_111499,c_111498,c_111497,c_111493,c_111492,c_111491,c_111485,c_111484,c_111483,c_111482,c_111115,c_111055,c_111053,c_111052,c_111049,c_111048,c_111047,c_111046,c_111045,c_111044,c_111043,c_111042,c_111041,c_111040,c_111039,c_111038,c_111037,c_111036,c_111035,c_111034,c_111033,c_111032,c_111025,c_111024,c_111023,c_111022,c_111021,c_111020,c_110975,c_110926,c_110898,c_110896,c_110895,c_110894,c_110893,c_110890,c_110889,c_110888,c_110887,c_110886,c_110884,c_110883,c_110882,c_110881,c_110880,c_110879,c_110874,c_110873,c_110872,c_110868,c_110865,c_110864,c_110863,c_110862,c_110861,c_110860,c_110856,c_110855,c_110854,c_110848,c_110847,c_110846,c_110845,c_110634,c_110631,c_110609,c_110606,c_110587,c_110562,c_110556,c_110555,c_110554,c_110553,c_110552,c_110550,c_110551,c_110524,c_110504,c_110503,c_110502,c_110501,c_110500,c_110499,c_110492,c_110491,c_110490,c_110489,c_110488,c_110487,c_110486,c_110561,c_110560,c_110559,c_110557,c_109749,c_109746,c_109724,c_109688,c_109657,c_109614,c_109608,c_109607,c_109606,c_109605,c_109604,c_109590,c_109602,c_109603,c_109580,c_109576,c_109574,c_109572,c_109571,c_109570,c_109569,c_109568,c_109565,c_109564,c_109563,c_109562,c_109561,c_109560,c_109559,c_109558,c_109556,c_109555,c_109554,c_109553,c_109552,c_109551,c_109548,c_109547,c_109546,c_109545,c_109544,c_109543,c_109542,c_109541,c_109540,c_109539,c_109538,c_109613,c_109612,c_109611,c_109609,c_109413,c_109410,c_109388,c_109376,c_109348,c_109311,c_109305,c_109304,c_109303,c_109302,c_109301,c_109299,c_109300,c_109284,c_109298,c_109297,c_109273,c_109262,c_109261,c_109260,c_109256,c_109253,c_109252,c_109251,c_109250,c_109249,c_109248,c_109244,c_109243,c_109242,c_109241,c_109240,c_109239,c_109238,c_109237,c_109236,c_109235,c_109310,c_109309,c_109308,c_109306,c_109221,c_109218,c_109209,c_109187,c_109181,c_109180,c_109179,c_109178,c_109177,c_109158,c_109172,c_109171,c_109112,c_109111,c_109186,c_109185,c_109182,c_109075,c_109073,c_109072,c_109083,c_108911,c_108910,c_108909,c_108907,c_108904,c_108903,c_108902,c_108895,c_108894,c_108893,c_108811,c_108810,c_108809,c_108808,c_108807,c_108806,c_108805,c_108802,c_108801,c_108798,c_108797,c_108795,c_108794,c_108824,c_108821,c_108820,c_108580,c_108574,c_108570,c_108567,c_108562,c_108561,c_108554,c_108553,c_108547,c_108544,c_108543,c_107760,c_107759,c_107758,c_107757,c_107756,c_107755,c_107754,c_107753,c_107752,c_107751,c_107750,c_107749,c_10774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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP379-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Wed Sep 23 14:36:51 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 40.22/7.85 % SZS status Started for theBenchmark.p
% 40.22/7.85 % SZS status Unsatisfiable for theBenchmark.p
% 40.22/7.85
% 40.22/7.85 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 40.22/7.85
% 40.22/7.85 % ------ iProver source info
% 40.22/7.85
% 40.22/7.85 % git: date: 2026-07-19 20:42:38 +0200
% 40.22/7.85 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 40.22/7.85 % git: non_committed_changes: false
% 40.22/7.85
% 40.22/7.85 % ------ Parsing...% successful
% 40.22/7.85
% 40.22/7.85
% 40.22/7.85 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 40.22/7.85
% 40.22/7.85 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 40.22/7.85
% 40.22/7.85 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 40.22/7.85
% 40.22/7.85 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 40.22/7.85 % ------ Proving...
% 40.22/7.85 % ------ Problem Properties
% 40.22/7.85
% 40.22/7.85 %
% 40.22/7.85 % clauses 73
% 40.22/7.85 % conjectures 55
% 40.22/7.85 % EPR 51
% 40.22/7.85 % Horn 22
% 40.22/7.85 % unary 18
% 40.22/7.85 % binary 50
% 40.22/7.85 % lits 138
% 40.22/7.85 % lits eq 130
% 40.22/7.85 % fd_pure 0
% 40.22/7.85 % fd_pseudo 0
% 40.22/7.85 % fd_cond 0
% 40.22/7.85 % fd_pseudo_cond 0
% 40.22/7.85 % AC symbols 0
% 40.22/7.85
% 40.22/7.85 % ------ Schedule dynamic 5 is on
% 40.22/7.85
% 40.22/7.85 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 40.22/7.85
% 40.22/7.85
% 40.22/7.85 % ------
% 40.22/7.85 % Current options:
% 40.22/7.85 % ------
% 40.22/7.85
% 40.22/7.85
% 40.22/7.85 %
% 40.22/7.85
% 40.22/7.85 % ------ Proving...
% 40.22/7.85 %
% 40.22/7.85
% 40.22/7.85 % SZS status Unsatisfiable for theBenchmark.p
% 40.22/7.85
% 40.22/7.85 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 50.53/8.00
% 50.53/8.00
%------------------------------------------------------------------------------