%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP269-1 : 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 : n026.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 01:32:39 PM UTC 2026
% Result : Unsatisfiable 61.82s 12.38s
% Output : CNFRefutation 80.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 73
% Syntax : Number of formulae : 3409 ( 837 unt; 15 def)
% Number of atoms : 16658 (6667 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 4755 (1101 ~;3654 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 6 ( 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 : 1385 ( 0 sgn1385 !; 0 ?;1350 :)
% 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
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c11 = inverse(sk_c3)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c10 = inverse(sk_c4)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( sk_c8 = inverse(sk_c5)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f20,plain,
( sk_c8 = inverse(sk_c6)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c11) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f22,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| multiply(sk_c1,sk_c11) = sk_c10 ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f24,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f26,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f28,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f30,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f32,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f34,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f36,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f38,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f40,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c1) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f44,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f46,plain,
( sk_c11 = inverse(sk_c3)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f48,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f50,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f52,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f54,plain,
( sk_c8 = inverse(sk_c5)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f56,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f58,plain,
( inverse(sk_c7) = sk_c6
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c6)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c11,sk_c9) = sk_c10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c10 = multiply(sk_c11,sk_c9) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c11 = inverse(sk_c3)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c4)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c5)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( inverse(sk_c7) = sk_c6
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c8 = inverse(sk_c6)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c11) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = multiply(sk_c2,sk_c11) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_47) ).
fof(f96,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_48) ).
fof(f98,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f100,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = inverse(sk_c2) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c11 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_50) ).
fof(f102,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = inverse(sk_c2) ),
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
| inverse(X1) != sk_c11
| multiply(X1,sk_c11) != sk_c9
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != sk_c11
| multiply(X0,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 != inverse(X1)
| sk_c9 != multiply(X1,sk_c11)
| sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X0) != sk_c11
| sk_c10 != multiply(X0,sk_c11) ),
inference(reorient_equations,[],[f103]) ).
fof(f105,plain,
! [X2,X3,X0,X1,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 != inverse(X1)
| sk_c9 != multiply(X1,sk_c11)
| sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X0) != sk_c11
| sk_c10 != multiply(X0,sk_c11) ),
inference(equality_resolution,[],[f104]) ).
fof(f106,plain,
! [X2,X3,X0,X1,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 != inverse(X1)
| sk_c9 != multiply(X1,sk_c11)
| sk_c10 != multiply(sk_c11,sk_c9)
| inverse(X0) != sk_c11
| sk_c10 != multiply(X0,sk_c11) ),
inference(equality_resolution,[],[f105]) ).
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,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c1,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_116,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_117,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_118,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_119,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_120,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_121,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_122,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_123,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_124,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( inverse(sk_c1) = sk_c11 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_125,negated_conjecture,
( ( inverse(sk_c1) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_126,negated_conjecture,
( ( multiply(sk_c3,sk_c11) = sk_c10 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_127,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_128,negated_conjecture,
( ( multiply(sk_c4,sk_c10) = sk_c9 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_129,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_130,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c11 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_131,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_132,negated_conjecture,
( ( multiply(sk_c8,sk_c10) = sk_c11 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_133,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_134,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_135,negated_conjecture,
( ( multiply(sk_c7,sk_c8) = sk_c6 )
| ( multiply(sk_c11,sk_c9) = sk_c10 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_136,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_137,negated_conjecture,
( ( inverse(sk_c3) = sk_c11 )
| ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_138,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f68]) ).
tcf(c_139,negated_conjecture,
( ( inverse(sk_c4) = sk_c10 )
| ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_140,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f72]) ).
tcf(c_141,negated_conjecture,
( ( inverse(sk_c5) = sk_c8 )
| ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_142,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c9 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f76]) ).
tcf(c_143,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c11) = sk_c9 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_145,negated_conjecture,
( ( multiply(sk_c2,sk_c11) = sk_c9 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_146,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_147,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_148,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_149,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_150,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_151,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_152,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_153,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_154,negated_conjecture,
( ( inverse(sk_c2) = sk_c11 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_155,negated_conjecture,
( ( inverse(sk_c2) = 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,X5: $i] :
( ( inverse(X5) != sk_c10 )
| ( inverse(X4) != sk_c11 )
| ( inverse(X3) != sk_c11 )
| ( inverse(X2) != sk_c11 )
| ( multiply(sk_c11,sk_c9) != sk_c10 )
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(X5,sk_c10) != sk_c9 )
| ( multiply(X4,sk_c11) != sk_c10 )
| ( multiply(X3,sk_c11) != sk_c9 )
| ( multiply(X2,sk_c11) != sk_c10 )
| ( multiply(inverse(X1),sk_c10) != sk_c11 )
| ( multiply(X1,inverse(X1)) != sk_c11 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_157,plain,
multiply(identity,sk_c11) = sk_c11,
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_158,plain,
multiply(inverse(sk_c11),sk_c11) = identity,
inference(instantiation,[status(thm)],[c_104]) ).
tcf(c_621,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_622,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_156]) ).
tcf(c_623,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_156]) ).
tcf(c_624,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_625,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c11,sk_c9) != sk_c10 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_156]) ).
tcf(c_626,definition,
iPr_def_14 = multiply(sk_c11,sk_c9),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_627,definition,
iPr_def_15 = multiply(sk_c7,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_628,definition,
iPr_def_16 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_629,definition,
iPr_def_17 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_630,definition,
iPr_def_18 = inverse(sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_631,definition,
iPr_def_19 = multiply(sk_c8,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_632,definition,
iPr_def_20 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_633,definition,
iPr_def_21 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_634,definition,
iPr_def_22 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_635,definition,
iPr_def_23 = multiply(sk_c4,sk_c10),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_636,definition,
iPr_def_24 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_637,definition,
iPr_def_25 = multiply(sk_c3,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_638,definition,
iPr_def_26 = multiply(sk_c2,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_639,definition,
iPr_def_27 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_640,definition,
iPr_def_28 = multiply(sk_c1,sk_c11),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_641,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_625,c_626]) ).
tcf(c_642,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_624]) ).
tcf(c_644,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,sk_c10) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_623]) ).
tcf(c_645,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_622]) ).
tcf(c_646,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,sk_c11) != sk_c10 ) ),
inference(demodulation,[status(thm)],[c_621]) ).
tcf(c_647,negated_conjecture,
( ( iPr_def_16 = sk_c11 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_155,c_628,c_627]) ).
tcf(c_648,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_154,c_629]) ).
tcf(c_649,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_153,c_630]) ).
tcf(c_650,negated_conjecture,
( ( iPr_def_19 = sk_c11 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_152,c_631]) ).
tcf(c_651,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_151,c_632]) ).
tcf(c_652,negated_conjecture,
( ( iPr_def_21 = sk_c11 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_150,c_633]) ).
tcf(c_653,negated_conjecture,
( ( iPr_def_22 = sk_c10 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_149,c_634]) ).
tcf(c_654,negated_conjecture,
( ( iPr_def_23 = sk_c9 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_148,c_635]) ).
tcf(c_655,negated_conjecture,
( ( iPr_def_24 = sk_c11 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_147,c_636]) ).
tcf(c_656,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_16 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_146,c_637]) ).
tcf(c_657,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_145,c_638]) ).
tcf(c_658,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_659,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_660,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_19 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_661,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_662,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_663,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_664,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_23 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_665,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_666,negated_conjecture,
( ( iPr_def_26 = sk_c9 )
| ( iPr_def_25 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_136]) ).
tcf(c_667,negated_conjecture,
( ( iPr_def_15 = sk_c6 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_135]) ).
tcf(c_668,negated_conjecture,
( ( iPr_def_17 = sk_c8 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_134]) ).
tcf(c_669,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_133]) ).
tcf(c_670,negated_conjecture,
( ( iPr_def_19 = sk_c11 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_132]) ).
tcf(c_671,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_131]) ).
tcf(c_672,negated_conjecture,
( ( iPr_def_21 = sk_c11 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_130]) ).
tcf(c_673,negated_conjecture,
( ( iPr_def_22 = sk_c10 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_129]) ).
tcf(c_674,negated_conjecture,
( ( iPr_def_23 = sk_c9 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_128]) ).
tcf(c_675,negated_conjecture,
( ( iPr_def_24 = sk_c11 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_127]) ).
tcf(c_676,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_14 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_126]) ).
tcf(c_677,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_125,c_639]) ).
tcf(c_678,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_124]) ).
tcf(c_679,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_123]) ).
tcf(c_680,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_19 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_122]) ).
tcf(c_681,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_121]) ).
tcf(c_682,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_120]) ).
tcf(c_683,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_119]) ).
tcf(c_684,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_23 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_118]) ).
tcf(c_685,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_117]) ).
tcf(c_686,negated_conjecture,
( ( iPr_def_27 = sk_c11 )
| ( iPr_def_25 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_116]) ).
tcf(c_687,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_115,c_640]) ).
tcf(c_688,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114]) ).
tcf(c_689,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_690,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_19 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_691,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_692,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_110]) ).
tcf(c_693,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_694,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_23 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_695,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_696,negated_conjecture,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_25 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_697,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_698,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_699,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X2) = multiply(X1,X3) )
| ( X2 != X3 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_700,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = inverse(X1) )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_702,plain,
( ( inverse(sk_c11) = inverse(sk_c11) )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_703,plain,
sk_c11 = sk_c11,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1010,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_647,c_649]) ).
tcf(c_1022,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_648,c_651]) ).
tcf(c_1030,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_650,c_652]) ).
tcf(c_1042,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_652,c_626]) ).
tcf(c_1064,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_655,c_652]) ).
tcf(c_1065,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_655,c_650]) ).
tcf(c_1076,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_653,c_656]) ).
tcf(c_1107,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c9 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_659,c_657]) ).
tcf(c_1119,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_626]) ).
tcf(c_1132,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_661,c_658]) ).
tcf(c_1141,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_626]) ).
tcf(c_1178,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_661,c_633]) ).
tcf(c_1180,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_651,c_633]) ).
tcf(c_1190,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_656,c_635]) ).
tcf(c_1191,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_653,c_635]) ).
tcf(c_1196,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_655,c_637]) ).
tcf(c_1197,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_652,c_637]) ).
tcf(c_1223,plain,
multiply(iPr_def_24,sk_c3) = identity,
inference(superposition,[status(thm)],[c_636,c_104]) ).
tcf(c_1224,plain,
multiply(iPr_def_22,sk_c4) = identity,
inference(superposition,[status(thm)],[c_634,c_104]) ).
tcf(c_1225,plain,
multiply(iPr_def_20,sk_c5) = identity,
inference(superposition,[status(thm)],[c_632,c_104]) ).
tcf(c_1228,plain,
multiply(iPr_def_27,sk_c1) = identity,
inference(superposition,[status(thm)],[c_639,c_104]) ).
tcf(c_1229,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_628,c_104]) ).
tcf(c_1235,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_663,c_626]) ).
tcf(c_1271,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_666,c_626]) ).
tcf(c_1278,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c10 )
| ( iPr_def_14 != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1295,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1316,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1317,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1325,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1327,plain,
( ( sk_c10 = iPr_def_22 )
| ( iPr_def_22 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1316]) ).
tcf(c_1328,plain,
( ( sk_c10 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1316]) ).
tcf(c_1337,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_669,c_667]) ).
tcf(c_1351,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_670,c_635]) ).
tcf(c_1372,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_668]) ).
tcf(c_1373,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_671,c_633]) ).
tcf(c_1389,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1451,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1325]) ).
tcf(c_1452,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1492,plain,
( ( iPr_def_14 = sk_c10 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1278]) ).
tcf(c_1493,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1325]) ).
tcf(c_1501,plain,
! [X0: $i] : inverse(X0) = inverse(X0),
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1504,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1505,plain,
! [X0: $i,X1: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1389]) ).
tcf(c_1514,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_675,c_635]) ).
tcf(c_1571,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_676,c_673]) ).
tcf(c_1574,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_676,c_635]) ).
tcf(c_1605,plain,
( ( iPr_def_22 = sk_c10 )
| ( iPr_def_22 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1451]) ).
tcf(c_1606,plain,
iPr_def_22 = iPr_def_22,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1607,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1659,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_679,c_677]) ).
tcf(c_1678,plain,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_25 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1493]) ).
tcf(c_1679,plain,
iPr_def_25 = iPr_def_25,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1680,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1690,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_680,c_640]) ).
tcf(c_1720,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = inverse(X0) )
| ( sk_c11 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1726,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != inverse(X1) )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_1504]) ).
tcf(c_1736,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_678]) ).
tcf(c_1752,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1753,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1762,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_682,c_640]) ).
tcf(c_1806,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_683,c_635]) ).
tcf(c_1883,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1885,plain,
! [X0: $i,X1: $i] :
( ( X0 = identity )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1894,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_685,c_640]) ).
tcf(c_1920,plain,
( ( iPr_def_14 = sk_c10 )
| ( iPr_def_14 != iPr_def_14 )
| ( sk_c10 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1278]) ).
tcf(c_1921,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1325]) ).
tcf(c_1922,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1923,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c10 != iPr_def_14 )
| ( sk_c11 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1922]) ).
tcf(c_1924,plain,
( ( sk_c11 = sk_c10 )
| ( sk_c10 != iPr_def_14 )
| ( sk_c11 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1921]) ).
tcf(c_1935,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_683]) ).
tcf(c_1940,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_686,c_635]) ).
tcf(c_1964,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1325]) ).
tcf(c_1965,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_2018,plain,
! [X0: $i] :
( ( inverse(X0) = iPr_def_27 )
| ( iPr_def_27 != inverse(sk_c1) )
| ( inverse(X0) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_1726]) ).
tcf(c_2060,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_689,c_687]) ).
tcf(c_2093,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_690,c_635]) ).
tcf(c_2156,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
tcf(c_2159,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_691,c_633]) ).
tcf(c_2207,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_672]) ).
tcf(c_2241,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_2261,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_693,c_675]) ).
tcf(c_2301,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = X0 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_2364,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1753]) ).
tcf(c_2400,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_675]) ).
tcf(c_2404,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_695,c_635]) ).
tcf(c_2494,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_696,c_675]) ).
tcf(c_2498,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_696,c_635]) ).
tcf(c_2534,plain,
! [X0: $i,X1: $i] :
( ( identity = X0 )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_2579,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_25 )
| ( iPr_def_14 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_696,c_641]) ).
tcf(c_2584,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_27 )
| ( iPr_def_14 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_686,c_641]) ).
tcf(c_2689,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_635,c_644]) ).
tcf(c_2691,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_2713,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( sk_c10 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2689,c_634]) ).
tcf(c_2867,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1010,c_626]) ).
tcf(c_2902,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_640,c_105]) ).
tcf(c_2908,plain,
! [X0: $i] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_626,c_105]) ).
tcf(c_2909,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_638,c_105]) ).
tcf(c_2911,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_2913,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1223,c_105]) ).
tcf(c_2914,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1224,c_105]) ).
tcf(c_2915,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1225,c_105]) ).
tcf(c_2918,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1228,c_105]) ).
tcf(c_2919,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1229,c_105]) ).
tcf(c_2922,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2919,c_103]) ).
tcf(c_2923,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2918,c_103]) ).
tcf(c_2926,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2915,c_103]) ).
tcf(c_2927,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2914,c_103]) ).
tcf(c_2928,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2913,c_103]) ).
tcf(c_2957,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_28 != sk_c10 )
| ( iPr_def_14 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_2364]) ).
tcf(c_2989,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_626]) ).
tcf(c_3019,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_3050,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1022,c_626]) ).
tcf(c_3087,plain,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_28 != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1964]) ).
tcf(c_3088,plain,
iPr_def_28 = iPr_def_28,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_3125,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1030,c_682]) ).
tcf(c_3126,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1030,c_680]) ).
tcf(c_3128,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1030,c_638]) ).
tcf(c_3200,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1064,c_685]) ).
tcf(c_3201,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1064,c_682]) ).
tcf(c_3204,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1064,c_638]) ).
tcf(c_3277,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1065,c_685]) ).
tcf(c_3279,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1065,c_680]) ).
tcf(c_3344,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1076,c_638]) ).
tcf(c_3387,plain,
! [X0: $i] :
( ( X0 = iPr_def_22 )
| ( iPr_def_22 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1607]) ).
tcf(c_3437,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_645]) ).
tcf(c_3438,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_25 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_637,c_645]) ).
tcf(c_3439,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_26 )
| ( inverse(sk_c2) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_638,c_645]) ).
tcf(c_3458,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_26 )
| ( sk_c11 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_3439,c_628]) ).
tcf(c_3462,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_25 )
| ( sk_c11 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_3438,c_636]) ).
tcf(c_3466,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_28 )
| ( sk_c11 != iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_3437,c_639]) ).
tcf(c_3544,plain,
! [X0: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1680]) ).
tcf(c_3601,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_646]) ).
tcf(c_3602,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_637,c_646]) ).
tcf(c_3603,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( inverse(sk_c2) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_638,c_646]) ).
tcf(c_3622,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 )
| ( sk_c11 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_3603,c_628]) ).
tcf(c_3626,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 )
| ( sk_c11 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_3602,c_636]) ).
tcf(c_3630,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_28 )
| ( sk_c11 != iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_3601,c_639]) ).
tcf(c_3751,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_642]) ).
tcf(c_3825,plain,
( ~ iPr_def_13
| ( inverse(sk_c11) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(sk_c11) )
| ( multiply(sk_c11,inverse(sk_c11)) != sk_c11 )
| ( multiply(inverse(sk_c11),sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_3751]) ).
tcf(c_4041,plain,
! [X0: $i] :
( ( inverse(X0) = inverse(sk_c1) )
| ( X0 != sk_c1 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_4042,plain,
( ( inverse(sk_c11) = inverse(sk_c1) )
| ( sk_c11 != sk_c1 ) ),
inference(instantiation,[status(thm)],[c_4041]) ).
tcf(c_4043,plain,
( ( inverse(sk_c1) = iPr_def_27 )
| ( iPr_def_27 != inverse(sk_c1) )
| ( inverse(sk_c1) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_2018]) ).
tcf(c_4044,plain,
inverse(sk_c1) = inverse(sk_c1),
inference(instantiation,[status(thm)],[c_1501]) ).
tcf(c_4070,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1571,c_641]) ).
tcf(c_4154,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1659,c_640]) ).
tcf(c_4228,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1736,c_640]) ).
tcf(c_4290,plain,
! [X0: $i] :
( ( iPr_def_22 = X0 )
| ( iPr_def_22 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_2241]) ).
tcf(c_4307,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_654,c_1042]) ).
tcf(c_4431,plain,
! [X0: $i] :
( ( iPr_def_25 = X0 )
| ( iPr_def_25 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_2301]) ).
tcf(c_4477,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1935,c_640]) ).
tcf(c_4569,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2060,c_1337]) ).
tcf(c_4770,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2156,c_1372]) ).
tcf(c_4834,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2207,c_626]) ).
tcf(c_4946,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2400,c_2207]) ).
tcf(c_4964,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2400,c_637]) ).
tcf(c_5248,plain,
multiply(iPr_def_16,iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_2922]) ).
tcf(c_5253,plain,
multiply(iPr_def_27,iPr_def_28) = sk_c11,
inference(superposition,[status(thm)],[c_640,c_2923]) ).
tcf(c_5326,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_2534]) ).
tcf(c_5339,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_633,c_2926]) ).
tcf(c_5435,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1753]) ).
tcf(c_5437,plain,
( ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1965]) ).
tcf(c_5626,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_635,c_2927]) ).
tcf(c_5631,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c11,
inference(superposition,[status(thm)],[c_637,c_2928]) ).
tcf(c_5701,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1076,c_1119]) ).
tcf(c_5703,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1064,c_1119]) ).
tcf(c_5704,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1030,c_1119]) ).
tcf(c_5726,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5704,c_5248]) ).
tcf(c_5730,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5703,c_5248]) ).
tcf(c_5738,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5701,c_5248]) ).
tcf(c_5760,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1064,c_1141]) ).
tcf(c_5761,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1030,c_1141]) ).
tcf(c_5783,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5761,c_5248]) ).
tcf(c_5787,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_5760,c_5248]) ).
tcf(c_5986,plain,
( ( iPr_def_25 = iPr_def_22 )
| ( iPr_def_25 != sk_c10 )
| ( iPr_def_22 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_3387]) ).
tcf(c_6139,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_676,c_673]) ).
tcf(c_6419,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1180,c_105]) ).
tcf(c_6456,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1190,c_2927]) ).
tcf(c_6457,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6456,c_5626]) ).
tcf(c_6468,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1191,c_2927]) ).
tcf(c_6469,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6468,c_5626]) ).
tcf(c_6492,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1197,c_2928]) ).
tcf(c_6493,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6492,c_5631]) ).
tcf(c_6696,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1076,c_1235]) ).
tcf(c_6698,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1064,c_1235]) ).
tcf(c_6726,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6698,c_5248]) ).
tcf(c_6734,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6696,c_5248]) ).
tcf(c_6929,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1076,c_1271]) ).
tcf(c_6964,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6929,c_5248]) ).
tcf(c_7207,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1351,c_2927]) ).
tcf(c_7208,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_7207,c_5626]) ).
tcf(c_7678,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1514,c_2927]) ).
tcf(c_7679,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7678,c_5626]) ).
tcf(c_7968,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1574,c_2927]) ).
tcf(c_7969,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7968,c_5626]) ).
tcf(c_8980,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1894,c_2923]) ).
tcf(c_8981,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_8980,c_5253]) ).
tcf(c_9128,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1940,c_2927]) ).
tcf(c_9129,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_9128,c_5626]) ).
tcf(c_9237,plain,
( ( sk_c11 = inverse(sk_c1) )
| ( sk_c11 != iPr_def_27 )
| ( inverse(sk_c1) != iPr_def_27 ) ),
inference(instantiation,[status(thm)],[c_1720]) ).
tcf(c_9494,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2093,c_2927]) ).
tcf(c_9495,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_9494,c_5626]) ).
tcf(c_9900,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2404,c_2927]) ).
tcf(c_9901,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_9900,c_5626]) ).
tcf(c_9943,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_3019]) ).
tcf(c_10153,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2498,c_2927]) ).
tcf(c_10154,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_10153,c_5626]) ).
tcf(c_10376,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1107,c_2867]) ).
tcf(c_10388,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_10376,c_5248]) ).
tcf(c_10629,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_10388,c_1659]) ).
tcf(c_10641,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_10388,c_640]) ).
tcf(c_10826,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,sk_c9),
inference(superposition,[status(thm)],[c_626,c_2902]) ).
tcf(c_11763,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c1 )
| ( sk_c1 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_11951,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,sk_c9),
inference(superposition,[status(thm)],[c_626,c_2909]) ).
tcf(c_12133,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1132,c_3050]) ).
tcf(c_12146,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_12133,c_5248]) ).
tcf(c_12247,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_12146,c_1736]) ).
tcf(c_12260,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_12146,c_640]) ).
tcf(c_12279,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_12260,c_10826]) ).
tcf(c_13216,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_2261,c_673,c_693,c_1317,c_1327,c_2957]) ).
tcf(c_13289,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_13216,c_635]) ).
tcf(c_13842,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_2494,c_676,c_696,c_1317,c_1328,c_2957]) ).
tcf(c_13876,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_13842,c_13216]) ).
tcf(c_13993,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_10641,c_10826]) ).
tcf(c_14140,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_641]) ).
tcf(c_14597,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2911,c_103]) ).
tcf(c_14623,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_14597]) ).
tcf(c_14624,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_14597]) ).
tcf(c_14625,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_14597]) ).
tcf(c_14804,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2928,c_14597]) ).
tcf(c_14805,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2927,c_14597]) ).
tcf(c_14806,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2926,c_14597]) ).
tcf(c_14809,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2923,c_14597]) ).
tcf(c_14810,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2922,c_14597]) ).
tcf(c_14856,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_14597,c_14597]) ).
tcf(c_15213,plain,
! [X0: $i] :
( ( identity = multiply(inverse(X0),X0) )
| ( identity != identity )
| ( multiply(inverse(X0),X0) != identity ) ),
inference(instantiation,[status(thm)],[c_5326]) ).
tcf(c_15214,plain,
( ( identity = multiply(inverse(sk_c11),sk_c11) )
| ( identity != identity )
| ( multiply(inverse(sk_c11),sk_c11) != identity ) ),
inference(instantiation,[status(thm)],[c_15213]) ).
tcf(c_15581,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_25 != iPr_def_22 )
| ( iPr_def_22 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_4290]) ).
tcf(c_15582,plain,
( ( sk_c10 = iPr_def_25 )
| ( iPr_def_25 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1452]) ).
tcf(c_15583,plain,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_25 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1451]) ).
tcf(c_15612,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_14624,c_14856]) ).
tcf(c_15641,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_15612,c_14623]) ).
tcf(c_15670,plain,
( ( iPr_def_25 = iPr_def_22 )
| ( iPr_def_25 != iPr_def_25 )
| ( iPr_def_22 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_4431]) ).
tcf(c_15888,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3126,c_3125]) ).
tcf(c_16216,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3201,c_3200]) ).
tcf(c_16973,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_3279,c_3277]) ).
tcf(c_17168,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_683,c_2713]) ).
tcf(c_17171,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_673,c_2713]) ).
tcf(c_17175,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_653,c_2713]) ).
tcf(c_17285,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_684,c_17168]) ).
tcf(c_17316,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_674,c_17171]) ).
tcf(c_17353,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_12 ),
inference(superposition,[status(thm)],[c_654,c_17175]) ).
tcf(c_17397,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1076,c_3458]) ).
tcf(c_17401,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1022,c_3458]) ).
tcf(c_17402,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1010,c_3458]) ).
tcf(c_18036,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_685,c_3466]) ).
tcf(c_18038,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_680,c_3466]) ).
tcf(c_18192,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_26 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_665,c_18036]) ).
tcf(c_18266,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_26 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_660,c_18038]) ).
tcf(c_18375,plain,
multiply(sk_c3,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_14804,c_104]) ).
tcf(c_18396,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_4964,c_18375]) ).
tcf(c_18397,plain,
( ( identity = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1196,c_18375]) ).
tcf(c_18766,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( identity = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_18397,c_685]) ).
tcf(c_18770,plain,
( ( identity = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_18397,c_638]) ).
tcf(c_19034,plain,
multiply(sk_c4,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_14805,c_104]) ).
tcf(c_19054,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_13289,c_19034]) ).
tcf(c_19055,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_1806,c_19034]) ).
tcf(c_19057,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1191,c_19034]) ).
tcf(c_19173,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_18396,c_19054]) ).
tcf(c_19589,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( identity = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_19057,c_19055]) ).
tcf(c_19960,plain,
( ( iPr_def_28 = iPr_def_14 )
| ( iPr_def_28 != iPr_def_28 )
| ( iPr_def_14 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_9943]) ).
tcf(c_20278,plain,
multiply(sk_c5,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_14806,c_104]) ).
tcf(c_20281,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_14806,c_14597]) ).
tcf(c_20300,plain,
( ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_2159,c_20278]) ).
tcf(c_20302,plain,
( ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1373,c_20278]) ).
tcf(c_20303,plain,
( ( identity = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1180,c_20278]) ).
tcf(c_20304,plain,
( ( identity = iPr_def_21 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1178,c_20278]) ).
tcf(c_20812,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_20302,c_20300]) ).
tcf(c_21042,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_20303,c_626]) ).
tcf(c_21160,plain,
multiply(sk_c5,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_5339,c_20281]) ).
tcf(c_21425,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20812,c_103]) ).
tcf(c_21506,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_6139,c_641]) ).
tcf(c_21807,plain,
! [X0: $i] :
( ( sk_c10 = identity )
| ( identity != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_21811,plain,
( ( sk_c10 = identity )
| ( identity != sk_c11 )
| ( sk_c10 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_21807]) ).
tcf(c_22131,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( identity = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_18766,c_637]) ).
tcf(c_22141,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_22131,c_18375]) ).
tcf(c_22162,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_22141,c_19589]) ).
tcf(c_22709,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_2579,c_2579,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154,c_13842]) ).
tcf(c_22729,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_2584,c_641,c_1492,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154,c_22709]) ).
tcf(c_23042,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_2534]) ).
tcf(c_23043,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1885]) ).
tcf(c_23044,plain,
( ( sk_c11 = identity )
| ( identity != sk_c10 )
| ( sk_c11 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_23043]) ).
tcf(c_23045,plain,
( ( identity = sk_c11 )
| ( identity != sk_c10 )
| ( sk_c11 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_23042]) ).
tcf(c_23093,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_2691,c_15641]) ).
tcf(c_23512,plain,
( ( identity = sk_c10 )
| ( identity != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1964]) ).
tcf(c_23635,plain,
( ( identity = iPr_def_14 )
| ( iPr_def_14 != iPr_def_28 )
| ( identity != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_9943]) ).
tcf(c_26215,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_14140,c_641,c_1752,c_1920,c_3630,c_3626,c_7208,c_8981,c_9129,c_9901,c_10154]) ).
tcf(c_26812,plain,
multiply(sk_c1,iPr_def_27) = identity,
inference(superposition,[status(thm)],[c_14809,c_104]) ).
tcf(c_26816,plain,
multiply(sk_c1,identity) = inverse(iPr_def_27),
inference(superposition,[status(thm)],[c_14809,c_15612]) ).
tcf(c_26866,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_4477,c_26812]) ).
tcf(c_26867,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_4228,c_26812]) ).
tcf(c_26868,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_4154,c_26812]) ).
tcf(c_26869,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1894,c_26812]) ).
tcf(c_26870,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1762,c_26812]) ).
tcf(c_26871,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_1690,c_26812]) ).
tcf(c_26943,plain,
inverse(iPr_def_27) = sk_c1,
inference(demodulation,[status(thm)],[c_26816,c_15612]) ).
tcf(c_26951,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_14) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_12247,c_26943]) ).
tcf(c_26952,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_14) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_10629,c_26943]) ).
tcf(c_26996,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_22 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_21506,c_641,c_1571,c_1752,c_1920,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154]) ).
tcf(c_27358,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26866,c_15641]) ).
tcf(c_27360,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26866,c_103]) ).
tcf(c_27393,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26867,c_15641]) ).
tcf(c_27395,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26867,c_103]) ).
tcf(c_27608,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26868,c_15641]) ).
tcf(c_27610,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26868,c_103]) ).
tcf(c_27706,plain,
( ( identity = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26869,c_637]) ).
tcf(c_27712,plain,
( ( identity = iPr_def_28 )
| ( identity = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_27706,c_18375]) ).
tcf(c_27925,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26870,c_26869]) ).
tcf(c_28244,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26871,c_26870]) ).
tcf(c_28609,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_20304,c_21042]) ).
tcf(c_28628,plain,
( ( identity = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_28609,c_5248]) ).
tcf(c_28649,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27925,c_103]) ).
tcf(c_28676,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_28244,c_103]) ).
tcf(c_29230,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21425,c_4834]) ).
tcf(c_29445,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_2989]) ).
tcf(c_29638,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_14 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_29230,c_23093]) ).
tcf(c_29680,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_29230,c_694]) ).
tcf(c_29682,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_29230,c_674]) ).
tcf(c_29915,plain,
multiply(sk_c2,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_14810,c_104]) ).
tcf(c_29938,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_18770,c_29915]) ).
tcf(c_29939,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_3344,c_29915]) ).
tcf(c_29941,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_3204,c_29915]) ).
tcf(c_29942,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_3128,c_29915]) ).
tcf(c_29967,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(global_subsumption_just,[status(thm)],[c_29680,c_1752,c_1920,c_2957,c_3087,c_3088,c_29682,c_29680]) ).
tcf(c_30422,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( identity = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_29938,c_27712]) ).
tcf(c_30704,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_29939,c_103]) ).
tcf(c_31094,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_29941,c_27925]) ).
tcf(c_31158,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_29942,c_28244]) ).
tcf(c_31857,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_30422,c_103]) ).
tcf(c_32704,plain,
! [X0: $i] :
( ( inverse(X0) = sk_c11 )
| ( sk_c11 != inverse(sk_c1) )
| ( inverse(X0) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_1505]) ).
tcf(c_32705,plain,
( ( inverse(sk_c11) = sk_c11 )
| ( sk_c11 != inverse(sk_c1) )
| ( inverse(sk_c11) != inverse(sk_c1) ) ),
inference(instantiation,[status(thm)],[c_32704]) ).
tcf(c_32841,plain,
! [X0: $i] :
( ( X0 = sk_c1 )
| ( sk_c1 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_11763]) ).
tcf(c_32844,plain,
( ( sk_c11 = sk_c1 )
| ( sk_c11 != iPr_def_14 )
| ( sk_c1 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_32841]) ).
tcf(c_32911,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_27395,c_12279]) ).
tcf(c_34283,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c9 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_27610,c_13993]) ).
tcf(c_34411,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_31094,c_18266]) ).
tcf(c_34642,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_31158,c_18266]) ).
tcf(c_36058,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_32911,c_23093]) ).
tcf(c_36686,plain,
( ( iPr_def_14 = identity )
| ( iPr_def_14 != iPr_def_28 )
| ( identity != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_5435]) ).
tcf(c_37352,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_34283,c_23093]) ).
tcf(c_38066,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1964]) ).
tcf(c_38067,plain,
( ( sk_c9 = sk_c10 )
| ( sk_c9 != iPr_def_14 )
| ( sk_c10 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1921]) ).
tcf(c_40525,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_655,c_652]) ).
tcf(c_40700,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_663,c_626]) ).
tcf(c_40784,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_669,c_667]) ).
tcf(c_40920,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_668]) ).
tcf(c_41134,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_628,c_104]) ).
tcf(c_41853,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != sk_c10 ) ),
inference(global_subsumption_just,[status(thm)],[c_641,c_641,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154]) ).
tcf(c_42268,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_42764,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_40784,c_41853]) ).
tcf(c_42816,plain,
( iPr_def_13
| ( iPr_def_15 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_42764,c_641,c_1107,c_1337,c_1752,c_1920,c_1923,c_1924,c_2060,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154,c_10388,c_17402,c_21811,c_23045,c_23512,c_26868,c_37352]) ).
tcf(c_42860,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_41134,c_105]) ).
tcf(c_42861,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_42860,c_103]) ).
tcf(c_42972,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_40920,c_41853]) ).
tcf(c_43024,plain,
( iPr_def_13
| ( iPr_def_17 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_42972,c_641,c_1132,c_1372,c_1752,c_1920,c_1923,c_1924,c_2156,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154,c_12146,c_17401,c_21811,c_23045,c_23512,c_26867,c_36058]) ).
tcf(c_44628,plain,
multiply(iPr_def_16,iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_42861]) ).
tcf(c_44734,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_40525,c_40700]) ).
tcf(c_44762,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_44734,c_44628]) ).
tcf(c_48851,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13876,c_27358]) ).
tcf(c_48992,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4770,c_27393]) ).
tcf(c_49540,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4569,c_27608]) ).
tcf(c_49976,plain,
( ( sk_c10 = iPr_def_28 )
| ( iPr_def_28 != iPr_def_14 )
| ( sk_c10 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1922]) ).
tcf(c_51184,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_5738,c_1605,c_1606,c_1678,c_1679,c_5986,c_6734,c_6964,c_15581]) ).
tcf(c_51278,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_51184,c_1935]) ).
tcf(c_51292,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51184,c_640]) ).
tcf(c_51293,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_51184,c_638]) ).
tcf(c_51308,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_51293,c_11951]) ).
tcf(c_51311,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_51292,c_10826]) ).
tcf(c_51817,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_14) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_51278,c_26943]) ).
tcf(c_53982,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_51308,c_30704]) ).
tcf(c_54171,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_53982,c_694]) ).
tcf(c_54384,plain,
( ( sk_c10 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_54171,c_1571,c_3088,c_13876,c_19960,c_49976]) ).
tcf(c_54385,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(renaming,[status(thm)],[c_54384]) ).
tcf(c_54599,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_51311,c_27360]) ).
tcf(c_55293,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_54599,c_23093]) ).
tcf(c_56075,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_42268,c_103]) ).
tcf(c_56101,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_56075]) ).
tcf(c_56102,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_56075]) ).
tcf(c_56324,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_56075,c_56075]) ).
tcf(c_57093,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_5783,c_5726]) ).
tcf(c_57542,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57093,c_640]) ).
tcf(c_57559,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_57542,c_10826]) ).
tcf(c_58137,plain,
( ( sk_c10 = identity )
| ( identity != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1965]) ).
tcf(c_58202,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_48992,c_26951]) ).
tcf(c_60083,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_49540,c_26952]) ).
tcf(c_61178,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c9 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_57559,c_28676]) ).
tcf(c_61484,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_61178,c_23093]) ).
tcf(c_62180,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(inverse(X0),sk_c10) = multiply(X1,X2) )
| ( sk_c10 != X2 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_63408,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_56102,c_56324]) ).
tcf(c_63435,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_63408,c_56101]) ).
tcf(c_63842,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_51817,c_48851]) ).
tcf(c_65455,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_26 ) ),
inference(global_subsumption_just,[status(thm)],[c_3622,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154]) ).
tcf(c_65490,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_10
| ( iPr_def_26 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_696,c_65455]) ).
tcf(c_66105,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_65490,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154]) ).
tcf(c_66107,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_66105,c_3630,c_3626,c_8981,c_9901,c_66105]) ).
tcf(c_66109,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_22 = iPr_def_25 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_4070,c_66107]) ).
tcf(c_66485,plain,
( iPr_def_13
| ( iPr_def_22 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_66109,c_17397,c_26866,c_26996,c_53982,c_54385,c_55293,c_58137]) ).
tcf(c_68900,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c11)),multiply(X0,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_626,c_14625]) ).
tcf(c_68969,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,identity)) = iPr_def_24,
inference(superposition,[status(thm)],[c_18375,c_14625]) ).
tcf(c_69386,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),X0) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_68969,c_15612]) ).
tcf(c_75137,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_1885]) ).
tcf(c_75138,plain,
( ( sk_c11 = identity )
| ( identity != iPr_def_14 )
| ( sk_c11 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_75137]) ).
tcf(c_79496,plain,
( ( sk_c9 = iPr_def_22 )
| ( iPr_def_22 != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_3387]) ).
tcf(c_79520,plain,
( ( sk_c9 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( sk_c9 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_3544]) ).
tcf(c_81270,plain,
multiply(inverse(multiply(inverse(iPr_def_14),sk_c11)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_104,c_68900]) ).
tcf(c_81865,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(inverse(X0),sk_c10) = multiply(inverse(X1),X2) )
| ( sk_c10 != X2 )
| ( inverse(X0) != inverse(X1) ) ),
inference(instantiation,[status(thm)],[c_62180]) ).
tcf(c_81866,plain,
( ( multiply(inverse(sk_c11),sk_c10) = multiply(inverse(sk_c11),sk_c11) )
| ( sk_c10 != sk_c11 )
| ( inverse(sk_c11) != inverse(sk_c11) ) ),
inference(instantiation,[status(thm)],[c_81865]) ).
tcf(c_83065,plain,
inverse(multiply(inverse(iPr_def_14),sk_c11)) = sk_c9,
inference(demodulation,[status(thm)],[c_81270,c_15612]) ).
tcf(c_83122,plain,
multiply(sk_c9,multiply(inverse(iPr_def_14),sk_c11)) = identity,
inference(superposition,[status(thm)],[c_83065,c_104]) ).
tcf(c_86050,plain,
multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c11)) = multiply(sk_c11,identity),
inference(superposition,[status(thm)],[c_83122,c_2908]) ).
tcf(c_86335,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_3019]) ).
tcf(c_86336,plain,
( ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != identity )
| ( sk_c11 != identity ) ),
inference(instantiation,[status(thm)],[c_86335]) ).
tcf(c_91667,plain,
! [X0: $i,X1: $i] :
( ( multiply(inverse(X0),sk_c10) = sk_c11 )
| ( sk_c11 != X1 )
| ( multiply(inverse(X0),sk_c10) != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_91672,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(inverse(X0),sk_c10) = X2 )
| ( X2 != X1 )
| ( multiply(inverse(X0),sk_c10) != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_91677,plain,
! [X0: $i] :
( ( sk_c11 = identity )
| ( identity != X0 )
| ( sk_c11 != X0 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_91689,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_91723,plain,
! [X0: $i] :
( ( sk_c11 = multiply(identity,X0) )
| ( sk_c11 != X0 )
| ( multiply(identity,X0) != X0 ) ),
inference(instantiation,[status(thm)],[c_91689]) ).
tcf(c_91724,plain,
( ( sk_c11 = multiply(identity,sk_c11) )
| ( sk_c11 != sk_c11 )
| ( multiply(identity,sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_91723]) ).
tcf(c_91725,plain,
! [X0: $i] :
( ( sk_c11 = multiply(inverse(X0),X0) )
| ( sk_c11 != identity )
| ( multiply(inverse(X0),X0) != identity ) ),
inference(instantiation,[status(thm)],[c_91689]) ).
tcf(c_91726,plain,
( ( sk_c11 = multiply(inverse(sk_c11),sk_c11) )
| ( sk_c11 != identity )
| ( multiply(inverse(sk_c11),sk_c11) != identity ) ),
inference(instantiation,[status(thm)],[c_91725]) ).
tcf(c_91730,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( multiply(X0,X1) = X3 )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_91731,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != multiply(X2,X3) )
| ( multiply(X0,X1) != multiply(X2,X3) ) ),
inference(instantiation,[status(thm)],[c_91689]) ).
tcf(c_91736,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(inverse(X0),sk_c10) = X2 )
| ( X2 != multiply(inverse(X0),X1) )
| ( multiply(inverse(X0),sk_c10) != multiply(inverse(X0),X1) ) ),
inference(instantiation,[status(thm)],[c_91672]) ).
tcf(c_91738,plain,
( ( multiply(inverse(sk_c11),sk_c10) = sk_c11 )
| ( sk_c11 != multiply(inverse(sk_c11),sk_c11) )
| ( multiply(inverse(sk_c11),sk_c10) != multiply(inverse(sk_c11),sk_c11) ) ),
inference(instantiation,[status(thm)],[c_91736]) ).
tcf(c_91832,plain,
! [X0: $i] : multiply(identity,inverse(X0)) = inverse(X0),
inference(instantiation,[status(thm)],[c_103]) ).
tcf(c_91897,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_91902,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sk_c11 = multiply(X0,X1) )
| ( sk_c11 != multiply(identity,X2) )
| ( multiply(X0,X1) != multiply(identity,X2) ) ),
inference(instantiation,[status(thm)],[c_91731]) ).
tcf(c_91903,plain,
( ( sk_c11 = multiply(sk_c11,sk_c11) )
| ( sk_c11 != multiply(identity,sk_c11) )
| ( multiply(sk_c11,sk_c11) != multiply(identity,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_91902]) ).
tcf(c_92368,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,X1) = multiply(identity,X2) )
| ( X1 != X2 )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_92369,plain,
( ( multiply(sk_c11,sk_c11) = multiply(identity,sk_c11) )
| ( sk_c11 != identity )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_92368]) ).
tcf(c_92388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X3 = multiply(X0,X1) )
| ( X3 != X2 )
| ( multiply(X0,X1) != X2 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_93960,plain,
( ( sk_c11 = multiply(sk_c5,sk_c8) )
| ( sk_c11 != iPr_def_21 )
| ( multiply(sk_c5,sk_c8) != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_91689]) ).
tcf(c_94103,plain,
! [X0: $i] :
( ( multiply(inverse(X0),sk_c10) = identity )
| ( identity != multiply(inverse(X0),X0) )
| ( multiply(inverse(X0),sk_c10) != multiply(inverse(X0),X0) ) ),
inference(instantiation,[status(thm)],[c_91736]) ).
tcf(c_94104,plain,
( ( multiply(inverse(sk_c11),sk_c10) = identity )
| ( identity != multiply(inverse(sk_c11),sk_c11) )
| ( multiply(inverse(sk_c11),sk_c10) != multiply(inverse(sk_c11),sk_c11) ) ),
inference(instantiation,[status(thm)],[c_94103]) ).
tcf(c_94396,plain,
! [X0: $i] :
( ( X0 = multiply(sk_c5,sk_c8) )
| ( X0 != iPr_def_21 )
| ( multiply(sk_c5,sk_c8) != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_92388]) ).
tcf(c_94997,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_91897]) ).
tcf(c_114815,plain,
( ( identity = multiply(sk_c5,sk_c8) )
| ( identity != iPr_def_21 )
| ( multiply(sk_c5,sk_c8) != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_94396]) ).
tcf(c_114818,plain,
( ( sk_c11 = identity )
| ( identity != multiply(sk_c5,sk_c8) )
| ( sk_c11 != multiply(sk_c5,sk_c8) ) ),
inference(instantiation,[status(thm)],[c_91677]) ).
tcf(c_119050,plain,
( ( sk_c10 = identity )
| ( identity != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_94997]) ).
tcf(c_120238,plain,
! [X0: $i] :
( ( multiply(inverse(X0),sk_c10) = sk_c11 )
| ( sk_c11 != identity )
| ( multiply(inverse(X0),sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_91667]) ).
tcf(c_120240,plain,
( ( multiply(inverse(sk_c11),sk_c10) = sk_c11 )
| ( sk_c11 != identity )
| ( multiply(inverse(sk_c11),sk_c10) != identity ) ),
inference(instantiation,[status(thm)],[c_120238]) ).
tcf(c_120662,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_91897]) ).
tcf(c_120665,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c10 != identity )
| ( sk_c11 != identity ) ),
inference(instantiation,[status(thm)],[c_120662]) ).
tcf(c_123365,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_31857,c_69386]) ).
tcf(c_123505,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_123365,c_636,c_5631]) ).
tcf(c_123604,plain,
! [X0: $i,X1: $i] :
( ( multiply(X0,inverse(X0)) = sk_c11 )
| ( sk_c11 != X1 )
| ( multiply(X0,inverse(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_91730]) ).
tcf(c_126985,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_6419,c_20281]) ).
tcf(c_127028,plain,
( ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_126985,c_4307]) ).
tcf(c_127408,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11 ),
inference(backward_subsumption_resolution,[status(thm)],[c_18192,c_123505]) ).
tcf(c_127822,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_25 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_3462,c_127408]) ).
tcf(c_129948,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_694,c_127822]) ).
tcf(c_129950,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_674,c_127822]) ).
tcf(c_132201,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_44762,c_4946,c_5787,c_21160,c_27925,c_28628,c_36686,c_86336,c_93960,c_114815,c_114818]) ).
tcf(c_140507,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,inverse(X0)) = sk_c11 )
| ( sk_c11 != multiply(X1,X2) )
| ( multiply(X0,inverse(X0)) != multiply(X1,X2) ) ),
inference(instantiation,[status(thm)],[c_123604]) ).
tcf(c_140508,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( multiply(X0,inverse(X0)) = multiply(X2,X1) )
| ( X0 != X2 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_140509,plain,
( ( multiply(sk_c11,inverse(sk_c11)) = sk_c11 )
| ( sk_c11 != multiply(sk_c11,sk_c11) )
| ( multiply(sk_c11,inverse(sk_c11)) != multiply(sk_c11,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_140507]) ).
tcf(c_140510,plain,
( ( multiply(sk_c11,inverse(sk_c11)) = multiply(sk_c11,sk_c11) )
| ( sk_c11 != sk_c11 )
| ( inverse(sk_c11) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_140508]) ).
tcf(c_140527,plain,
( ( multiply(identity,inverse(identity)) = sk_c11 )
| ( sk_c11 != inverse(identity) )
| ( multiply(identity,inverse(identity)) != inverse(identity) ) ),
inference(instantiation,[status(thm)],[c_123604]) ).
tcf(c_140528,plain,
multiply(identity,inverse(identity)) = inverse(identity),
inference(instantiation,[status(thm)],[c_91832]) ).
tcf(c_182823,plain,
! [X0: $i] :
( ( inverse(X0) = inverse(identity) )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_182825,plain,
( ( inverse(sk_c11) = inverse(identity) )
| ( sk_c11 != identity ) ),
inference(instantiation,[status(thm)],[c_182823]) ).
tcf(c_265732,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_6726,c_132201]) ).
tcf(c_265921,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_265732,c_640]) ).
tcf(c_265940,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_265921,c_10826]) ).
tcf(c_267094,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c9 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_265940,c_28649]) ).
tcf(c_269200,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_28 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_267094,c_23093]) ).
tcf(c_269901,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_647,c_649]) ).
tcf(c_269913,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_648,c_651]) ).
tcf(c_269921,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_650,c_652]) ).
tcf(c_269933,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_652,c_626]) ).
tcf(c_269934,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_650,c_626]) ).
tcf(c_269935,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_654,c_626]) ).
tcf(c_269942,plain,
( ( sk_c11 = iPr_def_16 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_629]) ).
tcf(c_269943,plain,
( ( sk_c11 = iPr_def_16 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_647,c_629]) ).
tcf(c_269954,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_655,c_626]) ).
tcf(c_269955,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_655,c_652]) ).
tcf(c_269956,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_655,c_650]) ).
tcf(c_269967,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_653,c_656]) ).
tcf(c_269976,plain,
( ( sk_c9 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_657,c_629]) ).
tcf(c_269977,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_657,c_649]) ).
tcf(c_269987,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_651,c_658]) ).
tcf(c_269998,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c9 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_659,c_657]) ).
tcf(c_269999,plain,
( ( sk_c9 = iPr_def_26 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_659,c_629]) ).
tcf(c_270010,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_626]) ).
tcf(c_270011,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_660,c_654]) ).
tcf(c_270023,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_661,c_658]) ).
tcf(c_270032,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_626]) ).
tcf(c_270033,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_662,c_654]) ).
tcf(c_270039,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_661,c_627]) ).
tcf(c_270040,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_658,c_627]) ).
tcf(c_270041,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_651,c_627]) ).
tcf(c_270042,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_648,c_627]) ).
tcf(c_270051,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_661,c_631]) ).
tcf(c_270052,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_658,c_631]) ).
tcf(c_270053,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_651,c_631]) ).
tcf(c_270054,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_648,c_631]) ).
tcf(c_270055,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_656,c_631]) ).
tcf(c_270056,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_653,c_631]) ).
tcf(c_270069,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_661,c_633]) ).
tcf(c_270070,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_658,c_633]) ).
tcf(c_270071,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_651,c_633]) ).
tcf(c_270072,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_648,c_633]) ).
tcf(c_270081,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_656,c_635]) ).
tcf(c_270082,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_653,c_635]) ).
tcf(c_270087,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_655,c_637]) ).
tcf(c_270088,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_652,c_637]) ).
tcf(c_270089,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_650,c_637]) ).
tcf(c_270096,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_655,c_638]) ).
tcf(c_270097,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_652,c_638]) ).
tcf(c_270098,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_19) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_638]) ).
tcf(c_270105,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_655,c_640]) ).
tcf(c_270106,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_652,c_640]) ).
tcf(c_270107,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_650,c_640]) ).
tcf(c_270114,plain,
multiply(iPr_def_24,sk_c3) = identity,
inference(superposition,[status(thm)],[c_636,c_104]) ).
tcf(c_270115,plain,
multiply(iPr_def_22,sk_c4) = identity,
inference(superposition,[status(thm)],[c_634,c_104]) ).
tcf(c_270116,plain,
multiply(iPr_def_20,sk_c5) = identity,
inference(superposition,[status(thm)],[c_632,c_104]) ).
tcf(c_270117,plain,
multiply(iPr_def_18,sk_c7) = identity,
inference(superposition,[status(thm)],[c_630,c_104]) ).
tcf(c_270118,plain,
multiply(iPr_def_17,sk_c6) = identity,
inference(superposition,[status(thm)],[c_629,c_104]) ).
tcf(c_270119,plain,
multiply(iPr_def_27,sk_c1) = identity,
inference(superposition,[status(thm)],[c_639,c_104]) ).
tcf(c_270120,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_628,c_104]) ).
tcf(c_270121,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_63435,c_104]) ).
tcf(c_270127,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_663,c_626]) ).
tcf(c_270128,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_663,c_654]) ).
tcf(c_270139,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_664,c_626]) ).
tcf(c_270140,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_664,c_654]) ).
tcf(c_270151,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_626]) ).
tcf(c_270152,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_665,c_654]) ).
tcf(c_270163,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_666,c_626]) ).
tcf(c_270164,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_666,c_654]) ).
tcf(c_270177,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_629]) ).
tcf(c_270178,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_667,c_649]) ).
tcf(c_270190,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_668,c_633]) ).
tcf(c_270191,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_668,c_631]) ).
tcf(c_270192,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_668,c_627]) ).
tcf(c_270194,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_668,c_651]) ).
tcf(c_270211,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_669,c_667]) ).
tcf(c_270213,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_629]) ).
tcf(c_270225,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_670,c_635]) ).
tcf(c_270226,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_631]) ).
tcf(c_270227,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_670,c_656]) ).
tcf(c_270228,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_670,c_653]) ).
tcf(c_270246,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_668]) ).
tcf(c_270247,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_671,c_633]) ).
tcf(c_270248,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_671,c_631]) ).
tcf(c_270249,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_671,c_627]) ).
tcf(c_270266,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_672,c_635]) ).
tcf(c_270267,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_631]) ).
tcf(c_270268,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_672,c_656]) ).
tcf(c_270269,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_672,c_653]) ).
tcf(c_270283,plain,
! [X0: $i,X1: $i] :
( ( inverse(inverse(X0)) = inverse(X1) )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_700]) ).
tcf(c_270284,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(inverse(X0)) = inverse(X2) )
| ( inverse(X2) != X1 )
| ( inverse(inverse(X0)) != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_270292,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_673,c_672]) ).
tcf(c_270293,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_670]) ).
tcf(c_270294,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_673,c_635]) ).
tcf(c_270295,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_631]) ).
tcf(c_270296,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_673,c_656]) ).
tcf(c_270312,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(X0) = X2 )
| ( X2 != X1 )
| ( inverse(X0) != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_270314,plain,
( ( inverse(inverse(identity)) = inverse(identity) )
| ( inverse(identity) != identity ) ),
inference(instantiation,[status(thm)],[c_270283]) ).
tcf(c_270326,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_666]) ).
tcf(c_270327,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_665]) ).
tcf(c_270328,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_664]) ).
tcf(c_270329,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_663]) ).
tcf(c_270330,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_674,c_662]) ).
tcf(c_270331,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_674,c_660]) ).
tcf(c_270332,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_626]) ).
tcf(c_270362,plain,
( ~ iPr_def_13
| ( inverse(inverse(identity)) != inverse(identity) )
| ( multiply(identity,inverse(identity)) != sk_c11 )
| ( multiply(identity,inverse(identity)) != inverse(identity) )
| ( multiply(inverse(identity),sk_c10) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_642]) ).
tcf(c_270363,plain,
! [X0: $i] :
( ( inverse(inverse(identity)) = inverse(X0) )
| ( inverse(X0) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(identity) ) ),
inference(instantiation,[status(thm)],[c_270284]) ).
tcf(c_270364,plain,
( ( inverse(inverse(identity)) = inverse(sk_c11) )
| ( inverse(sk_c11) != inverse(identity) )
| ( inverse(inverse(identity)) != inverse(identity) ) ),
inference(instantiation,[status(thm)],[c_270363]) ).
tcf(c_270375,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_673]) ).
tcf(c_270376,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_675,c_635]) ).
tcf(c_270377,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_631]) ).
tcf(c_270378,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_675,c_656]) ).
tcf(c_270379,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_675,c_653]) ).
tcf(c_270397,plain,
! [X0: $i] :
( ( inverse(identity) = X0 )
| ( X0 != identity )
| ( inverse(identity) != identity ) ),
inference(instantiation,[status(thm)],[c_270312]) ).
tcf(c_270398,plain,
( ( inverse(identity) = sk_c11 )
| ( sk_c11 != identity )
| ( inverse(identity) != identity ) ),
inference(instantiation,[status(thm)],[c_270397]) ).
tcf(c_270411,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_676,c_675]) ).
tcf(c_270412,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_676,c_673]) ).
tcf(c_270413,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_676,c_672]) ).
tcf(c_270414,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_676,c_670]) ).
tcf(c_270415,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_676,c_635]) ).
tcf(c_270416,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_676,c_631]) ).
tcf(c_270448,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_629]) ).
tcf(c_270449,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_677,c_649]) ).
tcf(c_270470,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_678,c_633]) ).
tcf(c_270471,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_678,c_631]) ).
tcf(c_270472,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_678,c_627]) ).
tcf(c_270474,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_678,c_651]) ).
tcf(c_270492,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_679,c_677]) ).
tcf(c_270495,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_629]) ).
tcf(c_270501,plain,
! [X0: $i] :
( ( multiply(inverse(identity),sk_c10) = sk_c11 )
| ( sk_c11 != X0 )
| ( multiply(inverse(identity),sk_c10) != X0 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_270509,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_680,c_640]) ).
tcf(c_270510,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_680,c_638]) ).
tcf(c_270511,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_680,c_637]) ).
tcf(c_270512,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_680,c_655]) ).
tcf(c_270513,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_626]) ).
tcf(c_270514,plain,
( ( iPr_def_21 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_680,c_652]) ).
tcf(c_270515,plain,
( ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_680,c_650]) ).
tcf(c_270558,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_678]) ).
tcf(c_270560,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_681,c_633]) ).
tcf(c_270561,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_681,c_631]) ).
tcf(c_270562,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_681,c_627]) ).
tcf(c_270594,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_682,c_640]) ).
tcf(c_270595,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_682,c_638]) ).
tcf(c_270596,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_682,c_637]) ).
tcf(c_270597,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_682,c_655]) ).
tcf(c_270598,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_682,c_626]) ).
tcf(c_270599,plain,
( ( iPr_def_21 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_682,c_652]) ).
tcf(c_270600,plain,
( ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_682,c_650]) ).
tcf(c_270647,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_683,c_675]) ).
tcf(c_270648,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_683,c_672]) ).
tcf(c_270649,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_670]) ).
tcf(c_270650,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_683,c_635]) ).
tcf(c_270651,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_631]) ).
tcf(c_270652,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_683,c_656]) ).
tcf(c_270679,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_666]) ).
tcf(c_270680,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_665]) ).
tcf(c_270681,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_664]) ).
tcf(c_270682,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_663]) ).
tcf(c_270683,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_684,c_662]) ).
tcf(c_270684,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_684,c_660]) ).
tcf(c_270685,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_684,c_626]) ).
tcf(c_270732,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_685,c_640]) ).
tcf(c_270733,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_685,c_638]) ).
tcf(c_270734,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_685,c_637]) ).
tcf(c_270735,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_685,c_655]) ).
tcf(c_270736,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_626]) ).
tcf(c_270737,plain,
( ( iPr_def_21 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_685,c_652]) ).
tcf(c_270738,plain,
( ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_685,c_650]) ).
tcf(c_270766,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_683]) ).
tcf(c_270767,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_686,c_675]) ).
tcf(c_270769,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_686,c_672]) ).
tcf(c_270770,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_670]) ).
tcf(c_270771,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_686,c_635]) ).
tcf(c_270772,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_631]) ).
tcf(c_270815,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_687,c_679]) ).
tcf(c_270816,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_687,c_669]) ).
tcf(c_270818,plain,
( ( sk_c10 = iPr_def_28 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_629]) ).
tcf(c_270819,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_687,c_649]) ).
tcf(c_270839,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_688,c_681]) ).
tcf(c_270840,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_688,c_671]) ).
tcf(c_270841,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_688,c_633]) ).
tcf(c_270842,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_688,c_631]) ).
tcf(c_270843,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_688,c_627]) ).
tcf(c_270845,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_688,c_651]) ).
tcf(c_270861,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_270118]) ).
tcf(c_270862,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_679,c_270118]) ).
tcf(c_270863,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_270118]) ).
tcf(c_270864,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_669,c_270118]) ).
tcf(c_270865,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_270118]) ).
tcf(c_270866,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_659,c_270118]) ).
tcf(c_270867,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_657,c_270118]) ).
tcf(c_270868,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_649,c_270118]) ).
tcf(c_270869,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_647,c_270118]) ).
tcf(c_270925,plain,
! [X0: $i,X1: $i] :
( ( multiply(inverse(identity),sk_c10) = sk_c11 )
| ( sk_c11 != multiply(X0,X1) )
| ( multiply(inverse(identity),sk_c10) != multiply(X0,X1) ) ),
inference(instantiation,[status(thm)],[c_270501]) ).
tcf(c_270926,plain,
! [X0: $i,X1: $i] :
( ( multiply(inverse(identity),sk_c10) = multiply(X0,X1) )
| ( sk_c10 != X1 )
| ( inverse(identity) != X0 ) ),
inference(instantiation,[status(thm)],[c_699]) ).
tcf(c_270927,plain,
( ( multiply(inverse(identity),sk_c10) = sk_c11 )
| ( sk_c11 != multiply(sk_c11,sk_c11) )
| ( multiply(inverse(identity),sk_c10) != multiply(sk_c11,sk_c11) ) ),
inference(instantiation,[status(thm)],[c_270925]) ).
tcf(c_270928,plain,
( ( multiply(inverse(identity),sk_c10) = multiply(sk_c11,sk_c11) )
| ( sk_c10 != sk_c11 )
| ( inverse(identity) != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_270926]) ).
tcf(c_270938,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_689,c_270118]) ).
tcf(c_270939,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_689,c_687]) ).
tcf(c_270943,plain,
( ( sk_c10 = iPr_def_28 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_629]) ).
tcf(c_270964,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_686]) ).
tcf(c_270965,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_683]) ).
tcf(c_270966,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_676]) ).
tcf(c_270967,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_675]) ).
tcf(c_270968,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_673]) ).
tcf(c_270969,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_672]) ).
tcf(c_270970,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_670]) ).
tcf(c_270971,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_690,c_635]) ).
tcf(c_270972,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_631]) ).
tcf(c_270973,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_690,c_656]) ).
tcf(c_270974,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_690,c_653]) ).
tcf(c_271038,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
tcf(c_271041,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_691,c_633]) ).
tcf(c_271042,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_691,c_631]) ).
tcf(c_271043,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_691,c_627]) ).
tcf(c_271083,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_686]) ).
tcf(c_271084,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_683]) ).
tcf(c_271085,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_676]) ).
tcf(c_271086,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_675]) ).
tcf(c_271087,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_673]) ).
tcf(c_271088,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_672]) ).
tcf(c_271090,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_692,c_635]) ).
tcf(c_271091,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_631]) ).
tcf(c_271092,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_692,c_656]) ).
tcf(c_271093,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_692,c_653]) ).
tcf(c_271182,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_693,c_686]) ).
tcf(c_271183,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_693,c_683]) ).
tcf(c_271184,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_693,c_676]) ).
tcf(c_271185,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_693,c_675]) ).
tcf(c_271186,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_693,c_673]) ).
tcf(c_271187,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_693,c_672]) ).
tcf(c_271188,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_670]) ).
tcf(c_271189,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_693,c_635]) ).
tcf(c_271190,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_631]) ).
tcf(c_271191,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_693,c_656]) ).
tcf(c_271192,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_693,c_653]) ).
tcf(c_271255,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_694,c_666]) ).
tcf(c_271256,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_694,c_665]) ).
tcf(c_271257,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_694,c_664]) ).
tcf(c_271258,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_694,c_663]) ).
tcf(c_271259,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_694,c_662]) ).
tcf(c_271260,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_694,c_660]) ).
tcf(c_271261,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_626]) ).
tcf(c_271304,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_686]) ).
tcf(c_271305,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_683]) ).
tcf(c_271306,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_676]) ).
tcf(c_271307,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_675]) ).
tcf(c_271308,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_673]) ).
tcf(c_271311,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_695,c_635]) ).
tcf(c_271312,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_631]) ).
tcf(c_271313,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_695,c_656]) ).
tcf(c_271314,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_695,c_653]) ).
tcf(c_271372,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_696,c_686]) ).
tcf(c_271373,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_696,c_683]) ).
tcf(c_271374,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_696,c_676]) ).
tcf(c_271375,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_696,c_675]) ).
tcf(c_271376,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_696,c_673]) ).
tcf(c_271377,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_696,c_672]) ).
tcf(c_271378,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_670]) ).
tcf(c_271379,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_696,c_635]) ).
tcf(c_271380,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_631]) ).
tcf(c_271381,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_696,c_656]) ).
tcf(c_271382,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_696,c_653]) ).
tcf(c_271434,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != sk_c10 ) ),
inference(global_subsumption_just,[status(thm)],[c_641,c_641,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154]) ).
tcf(c_271444,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_25 )
| ( iPr_def_14 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_696,c_271434]) ).
tcf(c_271446,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_22 )
| ( iPr_def_14 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_693,c_271434]) ).
tcf(c_271449,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_27 )
| ( iPr_def_14 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_686,c_271434]) ).
tcf(c_271450,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_27 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_271434]) ).
tcf(c_271451,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_676,c_271434]) ).
tcf(c_271452,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_271434]) ).
tcf(c_271453,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_673,c_271434]) ).
tcf(c_271454,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_672,c_271434]) ).
tcf(c_271455,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_271434]) ).
tcf(c_271456,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_16 )
| ( iPr_def_14 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_656,c_271434]) ).
tcf(c_271457,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_16 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_653,c_271434]) ).
tcf(c_271540,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c11,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_640,c_105]) ).
tcf(c_271541,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_637,c_105]) ).
tcf(c_271542,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_635,c_105]) ).
tcf(c_271543,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_633,c_105]) ).
tcf(c_271544,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_631,c_105]) ).
tcf(c_271545,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_627,c_105]) ).
tcf(c_271546,plain,
! [X0: $i] : multiply(sk_c11,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_626,c_105]) ).
tcf(c_271547,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_638,c_105]) ).
tcf(c_271548,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_103,c_105]) ).
tcf(c_271549,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_271551,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_270114,c_105]) ).
tcf(c_271552,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_270115,c_105]) ).
tcf(c_271553,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_270116,c_105]) ).
tcf(c_271554,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_270117,c_105]) ).
tcf(c_271555,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_270118,c_105]) ).
tcf(c_271556,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_270119,c_105]) ).
tcf(c_271557,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_270120,c_105]) ).
tcf(c_271558,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_29445,c_105]) ).
tcf(c_271559,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_271560,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271557,c_103]) ).
tcf(c_271561,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271556,c_103]) ).
tcf(c_271562,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271555,c_103]) ).
tcf(c_271563,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271554,c_103]) ).
tcf(c_271564,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271553,c_103]) ).
tcf(c_271565,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271552,c_103]) ).
tcf(c_271566,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271551,c_103]) ).
tcf(c_271629,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c11 = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_271452,c_641,c_1752,c_1920,c_3630,c_3626,c_7679,c_8981,c_9129,c_9901,c_10154,c_127408]) ).
tcf(c_271653,plain,
iPr_def_15 = iPr_def_18,
inference(global_subsumption_just,[status(thm)],[c_269901,c_157,c_158,c_702,c_703,c_639,c_1337,c_1659,c_1883,c_1923,c_1924,c_2060,c_3825,c_4042,c_4043,c_4044,c_9237,c_10388,c_15214,c_15641,c_23044,c_23512,c_26868,c_32705,c_32844,c_42816,c_60083,c_81866,c_91724,c_91903,c_92369,c_94104,c_120240,c_140509,c_140510,c_182825,c_270314,c_270364]) ).
tcf(c_271655,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_689,c_271653]) ).
tcf(c_271656,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_679,c_271653]) ).
tcf(c_271657,plain,
multiply(iPr_def_15,sk_c7) = identity,
inference(demodulation,[status(thm)],[c_270117,c_271653]) ).
tcf(c_271658,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_669,c_271653]) ).
tcf(c_271659,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_659,c_271653]) ).
tcf(c_271660,plain,
inverse(sk_c7) = iPr_def_15,
inference(demodulation,[status(thm)],[c_630,c_271653]) ).
tcf(c_271661,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c11 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_649,c_271653]) ).
tcf(c_271681,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_271657,c_105]) ).
tcf(c_271682,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271681,c_103]) ).
tcf(c_271699,plain,
iPr_def_17 = iPr_def_20,
inference(global_subsumption_just,[status(thm)],[c_269913,c_157,c_158,c_702,c_703,c_639,c_1372,c_1736,c_1883,c_1923,c_1924,c_2156,c_3825,c_4042,c_4043,c_4044,c_9237,c_12146,c_15214,c_15641,c_23044,c_23512,c_26867,c_32705,c_32844,c_43024,c_58202,c_81866,c_91724,c_91903,c_92369,c_94104,c_120240,c_140509,c_140510,c_182825,c_270314,c_270364]) ).
tcf(c_271701,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_691,c_271699]) ).
tcf(c_271702,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_681,c_271699]) ).
tcf(c_271703,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(demodulation,[status(thm)],[c_270116,c_271699]) ).
tcf(c_271704,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_671,c_271699]) ).
tcf(c_271705,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_661,c_271699]) ).
tcf(c_271706,plain,
inverse(sk_c5) = iPr_def_17,
inference(demodulation,[status(thm)],[c_632,c_271699]) ).
tcf(c_271707,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c11 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_651,c_271699]) ).
tcf(c_271724,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_635,c_644]) ).
tcf(c_271725,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(sk_c8) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_631,c_644]) ).
tcf(c_271726,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_271727,plain,
( ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104,c_644]) ).
tcf(c_271728,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(multiply(X0,X1)) != sk_c10 )
| ( multiply(X0,multiply(X1,sk_c10)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_105,c_644]) ).
tcf(c_271729,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_696,c_644]) ).
tcf(c_271730,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_695,c_644]) ).
tcf(c_271731,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_693,c_644]) ).
tcf(c_271732,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_692,c_644]) ).
tcf(c_271733,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_690,c_644]) ).
tcf(c_271734,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_686,c_644]) ).
tcf(c_271735,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_683,c_644]) ).
tcf(c_271736,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_676,c_644]) ).
tcf(c_271737,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_675,c_644]) ).
tcf(c_271738,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_673,c_644]) ).
tcf(c_271739,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_672,c_644]) ).
tcf(c_271740,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_670,c_644]) ).
tcf(c_271741,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_656,c_644]) ).
tcf(c_271742,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_653,c_644]) ).
tcf(c_271743,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_271726,c_63435]) ).
tcf(c_271750,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( sk_c10 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_271724,c_634]) ).
tcf(c_271851,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_645]) ).
tcf(c_271852,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_25 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_637,c_645]) ).
tcf(c_271853,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_26 )
| ( inverse(sk_c2) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_638,c_645]) ).
tcf(c_271854,plain,
( ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(identity) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_103,c_645]) ).
tcf(c_271855,plain,
( ~ iPr_def_11
| ( sk_c9 != identity )
| ( inverse(inverse(sk_c11)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_104,c_645]) ).
tcf(c_271856,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c11 )
| ( multiply(X0,multiply(X1,sk_c11)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_105,c_645]) ).
tcf(c_271857,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_685,c_645]) ).
tcf(c_271858,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_682,c_645]) ).
tcf(c_271859,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_680,c_645]) ).
tcf(c_271860,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_655,c_645]) ).
tcf(c_271861,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_652,c_645]) ).
tcf(c_271862,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_19) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_650,c_645]) ).
tcf(c_271863,plain,
( ~ iPr_def_11
| ( sk_c11 != identity )
| ( sk_c11 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_271854,c_63435]) ).
tcf(c_271867,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_26 )
| ( sk_c11 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_271853,c_628]) ).
tcf(c_271871,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_25 )
| ( sk_c11 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_271852,c_636]) ).
tcf(c_271875,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_28 )
| ( sk_c11 != iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_271851,c_639]) ).
tcf(c_271965,negated_conjecture,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_646,c_3630,c_3626,c_8981,c_9129,c_9901,c_10154]) ).
tcf(c_271977,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_642]) ).
tcf(c_271978,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(X0))) != identity )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 )
| ( inverse(inverse(inverse(inverse(X0)))) != inverse(X0) ) ),
inference(superposition,[status(thm)],[c_104,c_642]) ).
tcf(c_271979,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_642]) ).
tcf(c_271980,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c3) )
| ( multiply(X0,iPr_def_24) != inverse(X0) )
| ( multiply(sk_c3,inverse(sk_c3)) != sk_c11 )
| ( multiply(inverse(sk_c3),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_636,c_642]) ).
tcf(c_271981,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c4) )
| ( multiply(X0,iPr_def_22) != inverse(X0) )
| ( multiply(sk_c4,inverse(sk_c4)) != sk_c11 )
| ( multiply(inverse(sk_c4),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_634,c_642]) ).
tcf(c_271982,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(X0,iPr_def_15) != inverse(X0) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c11 )
| ( multiply(inverse(sk_c7),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_271660,c_642]) ).
tcf(c_271983,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c6) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(sk_c6,inverse(sk_c6)) != sk_c11 )
| ( multiply(inverse(sk_c6),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_629,c_642]) ).
tcf(c_271984,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c1) )
| ( multiply(X0,iPr_def_27) != inverse(X0) )
| ( multiply(sk_c1,inverse(sk_c1)) != sk_c11 )
| ( multiply(inverse(sk_c1),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_639,c_642]) ).
tcf(c_271985,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c2) )
| ( multiply(X0,iPr_def_16) != inverse(X0) )
| ( multiply(sk_c2,inverse(sk_c2)) != sk_c11 )
| ( multiply(inverse(sk_c2),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_628,c_642]) ).
tcf(c_271986,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(identity) )
| ( multiply(X0,identity) != inverse(X0) )
| ( multiply(identity,inverse(identity)) != sk_c11 )
| ( multiply(inverse(identity),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_63435,c_642]) ).
tcf(c_271987,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != identity )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(light_normalisation,[status(thm)],[c_271977,c_63435]) ).
tcf(c_271992,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(identity,identity) != sk_c11 )
| ( multiply(identity,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != identity )
| ( multiply(X0,identity) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271986,c_63435]) ).
tcf(c_271998,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_16,sk_c10) != sk_c11 )
| ( multiply(sk_c2,iPr_def_16) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_16 )
| ( multiply(X0,iPr_def_16) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271985,c_628]) ).
tcf(c_272004,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_27,sk_c10) != sk_c11 )
| ( multiply(sk_c1,iPr_def_27) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_27 )
| ( multiply(X0,iPr_def_27) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271984,c_639]) ).
tcf(c_272010,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_17,sk_c10) != sk_c11 )
| ( multiply(sk_c6,iPr_def_17) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_17 )
| ( multiply(X0,iPr_def_17) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271983,c_629]) ).
tcf(c_272016,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_15,sk_c10) != sk_c11 )
| ( multiply(sk_c7,iPr_def_15) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_15 )
| ( multiply(X0,iPr_def_15) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271982,c_271660]) ).
tcf(c_272022,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_22,sk_c10) != sk_c11 )
| ( multiply(sk_c4,iPr_def_22) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_22 )
| ( multiply(X0,iPr_def_22) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271981,c_634]) ).
tcf(c_272028,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_24,sk_c10) != sk_c11 )
| ( multiply(sk_c3,iPr_def_24) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_24 )
| ( multiply(X0,iPr_def_24) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271980,c_636]) ).
tcf(c_272086,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269921,c_645]) ).
tcf(c_272087,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269921,c_685]) ).
tcf(c_272088,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_269921,c_682]) ).
tcf(c_272089,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269921,c_680]) ).
tcf(c_272090,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269921,c_640]) ).
tcf(c_272091,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269921,c_638]) ).
tcf(c_272092,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269921,c_637]) ).
tcf(c_272093,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269921,c_655]) ).
tcf(c_272094,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_626]) ).
tcf(c_272095,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269921,c_652]) ).
tcf(c_272096,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269921,c_650]) ).
tcf(c_272179,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269955,c_645]) ).
tcf(c_272180,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269955,c_685]) ).
tcf(c_272181,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_269955,c_682]) ).
tcf(c_272182,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269955,c_680]) ).
tcf(c_272183,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269955,c_640]) ).
tcf(c_272184,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269955,c_638]) ).
tcf(c_272185,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269955,c_637]) ).
tcf(c_272186,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269955,c_655]) ).
tcf(c_272187,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_626]) ).
tcf(c_272188,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269955,c_652]) ).
tcf(c_272189,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269955,c_650]) ).
tcf(c_272277,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269956,c_645]) ).
tcf(c_272278,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269956,c_685]) ).
tcf(c_272279,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_269956,c_682]) ).
tcf(c_272280,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269956,c_680]) ).
tcf(c_272281,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269956,c_640]) ).
tcf(c_272282,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269956,c_638]) ).
tcf(c_272283,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269956,c_637]) ).
tcf(c_272284,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269956,c_655]) ).
tcf(c_272285,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_626]) ).
tcf(c_272286,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269956,c_652]) ).
tcf(c_272287,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269956,c_650]) ).
tcf(c_272367,plain,
iPr_def_22 = iPr_def_25,
inference(global_subsumption_just,[status(thm)],[c_269967,c_157,c_158,c_702,c_703,c_639,c_1571,c_1923,c_1935,c_3825,c_4042,c_4043,c_4044,c_9237,c_13876,c_15641,c_23635,c_26866,c_32705,c_32844,c_51184,c_63842,c_66485,c_75138,c_81866,c_91724,c_91726,c_91738,c_91903,c_92369,c_140509,c_140510,c_182825,c_270314,c_270364]) ).
tcf(c_272369,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_696,c_272367]) ).
tcf(c_272370,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_686,c_272367]) ).
tcf(c_272371,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_676,c_272367]) ).
tcf(c_272372,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_666,c_272367]) ).
tcf(c_272373,plain,
multiply(sk_c3,sk_c11) = iPr_def_22,
inference(demodulation,[status(thm)],[c_637,c_272367]) ).
tcf(c_272374,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_656,c_272367]) ).
tcf(c_272385,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_269956,c_86050]) ).
tcf(c_272386,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_269955,c_86050]) ).
tcf(c_272387,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_269921,c_86050]) ).
tcf(c_272388,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_685,c_86050]) ).
tcf(c_272389,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_682,c_86050]) ).
tcf(c_272390,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,identity) ) ),
inference(superposition,[status(thm)],[c_680,c_86050]) ).
tcf(c_272391,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_24)) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_655,c_86050]) ).
tcf(c_272392,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_21)) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_652,c_86050]) ).
tcf(c_272393,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_650,c_86050]) ).
tcf(c_272394,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),sk_c11),X0)) = multiply(multiply(sk_c11,identity),X0),
inference(superposition,[status(thm)],[c_86050,c_105]) ).
tcf(c_272415,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c5) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_271706,c_642]) ).
tcf(c_272416,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_17,sk_c10) != sk_c11 )
| ( multiply(sk_c5,iPr_def_17) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_17 )
| ( multiply(X0,iPr_def_17) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_272415,c_271706]) ).
tcf(c_272423,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_271703,c_105]) ).
tcf(c_272424,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_272423,c_103]) ).
tcf(c_272426,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269956,c_272373]) ).
tcf(c_272427,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269955,c_272373]) ).
tcf(c_272428,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269921,c_272373]) ).
tcf(c_272429,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_685,c_272373]) ).
tcf(c_272430,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_682,c_272373]) ).
tcf(c_272431,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_680,c_272373]) ).
tcf(c_272432,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_655,c_272373]) ).
tcf(c_272433,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_652,c_272373]) ).
tcf(c_272434,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_650,c_272373]) ).
tcf(c_272435,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_22 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_272373,c_645]) ).
tcf(c_272436,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c11,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_272373,c_105]) ).
tcf(c_272455,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_22 )
| ( sk_c11 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_272435,c_636]) ).
tcf(c_272535,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270970,c_272373]) ).
tcf(c_272536,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_19)) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_270970,c_86050]) ).
tcf(c_272537,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270970,c_269956]) ).
tcf(c_272538,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270970,c_269955]) ).
tcf(c_272539,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270970,c_269921]) ).
tcf(c_272540,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_19) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_270970,c_645]) ).
tcf(c_272544,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270970,c_640]) ).
tcf(c_272545,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_19) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270970,c_638]) ).
tcf(c_272546,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_270970,c_655]) ).
tcf(c_272547,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270970,c_626]) ).
tcf(c_272548,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_270970,c_652]) ).
tcf(c_272601,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271088,c_270970]) ).
tcf(c_272602,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_271088,c_272373]) ).
tcf(c_272603,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_21)) = multiply(iPr_def_21,identity) ) ),
inference(superposition,[status(thm)],[c_271088,c_86050]) ).
tcf(c_272604,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271088,c_269956]) ).
tcf(c_272605,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271088,c_269955]) ).
tcf(c_272606,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271088,c_269921]) ).
tcf(c_272607,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_271088,c_645]) ).
tcf(c_272611,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271088,c_640]) ).
tcf(c_272612,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271088,c_638]) ).
tcf(c_272613,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_271088,c_655]) ).
tcf(c_272614,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271088,c_626]) ).
tcf(c_272691,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271307,c_271088]) ).
tcf(c_272692,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271307,c_270970]) ).
tcf(c_272693,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_271307,c_272373]) ).
tcf(c_272694,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_24)) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_271307,c_86050]) ).
tcf(c_272695,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271307,c_269956]) ).
tcf(c_272696,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271307,c_269955]) ).
tcf(c_272697,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271307,c_269921]) ).
tcf(c_272698,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c11 )
| ( multiply(X0,iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_271307,c_645]) ).
tcf(c_272702,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271307,c_640]) ).
tcf(c_272703,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_24) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271307,c_638]) ).
tcf(c_272704,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271307,c_626]) ).
tcf(c_272768,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_269933]) ).
tcf(c_272769,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_664,c_269933]) ).
tcf(c_272771,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_269933]) ).
tcf(c_272772,plain,
( ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_269933]) ).
tcf(c_272773,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_654,c_269933]) ).
tcf(c_272774,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269933,c_105]) ).
tcf(c_272819,plain,
multiply(iPr_def_16,iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_271560]) ).
tcf(c_272820,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271560,c_105]) ).
tcf(c_272821,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_272819,c_105]) ).
tcf(c_272822,plain,
multiply(iPr_def_27,iPr_def_28) = sk_c11,
inference(superposition,[status(thm)],[c_640,c_271561]) ).
tcf(c_272823,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271561,c_105]) ).
tcf(c_272824,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_272822,c_105]) ).
tcf(c_272834,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_687,c_271562]) ).
tcf(c_272835,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_677,c_271562]) ).
tcf(c_272836,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_667,c_271562]) ).
tcf(c_272837,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_657,c_271562]) ).
tcf(c_272838,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_647,c_271562]) ).
tcf(c_272839,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(sk_c6,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271562,c_105]) ).
tcf(c_272860,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_635,c_271565]) ).
tcf(c_272861,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_22,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271565,c_105]) ).
tcf(c_272972,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_269934]) ).
tcf(c_272973,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_664,c_269934]) ).
tcf(c_272975,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_269934]) ).
tcf(c_272976,plain,
( ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_269934]) ).
tcf(c_272977,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_654,c_269934]) ).
tcf(c_272978,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269934,c_105]) ).
tcf(c_272995,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_272860,c_105]) ).
tcf(c_272996,plain,
multiply(iPr_def_24,iPr_def_22) = sk_c11,
inference(superposition,[status(thm)],[c_272373,c_271566]) ).
tcf(c_272997,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_24,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271566,c_105]) ).
tcf(c_273007,plain,
multiply(iPr_def_15,iPr_def_15) = sk_c8,
inference(superposition,[status(thm)],[c_627,c_271682]) ).
tcf(c_273008,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271682,c_105]) ).
tcf(c_273010,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_273007,c_105]) ).
tcf(c_273012,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_22,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_272996,c_105]) ).
tcf(c_273145,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_269943,c_642]) ).
tcf(c_273157,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_269976,c_642]) ).
tcf(c_273175,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_269935]) ).
tcf(c_273176,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_682,c_269935]) ).
tcf(c_273177,plain,
( ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_269935]) ).
tcf(c_273178,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_655,c_269935]) ).
tcf(c_273181,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c11,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269935,c_105]) ).
tcf(c_273227,plain,
multiply(iPr_def_17,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_633,c_272424]) ).
tcf(c_273228,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(sk_c5,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_272424,c_105]) ).
tcf(c_273230,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_273227,c_105]) ).
tcf(c_273237,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_270177,c_642]) ).
tcf(c_273249,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272601,c_272822]) ).
tcf(c_273256,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272691,c_272822]) ).
tcf(c_273263,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272692,c_272822]) ).
tcf(c_273295,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_270448,c_642]) ).
tcf(c_273308,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_15) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_15,inverse(iPr_def_15)) != sk_c11 )
| ( multiply(inverse(iPr_def_15),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_270818,c_642]) ).
tcf(c_273324,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_269954]) ).
tcf(c_273325,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_664,c_269954]) ).
tcf(c_273327,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_269954]) ).
tcf(c_273328,plain,
( ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_269954]) ).
tcf(c_273330,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269954,c_105]) ).
tcf(c_273365,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_270010]) ).
tcf(c_273366,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_270010]) ).
tcf(c_273367,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_270010]) ).
tcf(c_273374,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270010,c_105]) ).
tcf(c_273377,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273367,c_272819]) ).
tcf(c_273381,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273366,c_272819]) ).
tcf(c_273385,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273365,c_272819]) ).
tcf(c_273396,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_270032]) ).
tcf(c_273397,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_270032]) ).
tcf(c_273398,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_270032]) ).
tcf(c_273400,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_682,c_270032]) ).
tcf(c_273405,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270032,c_105]) ).
tcf(c_273410,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273398,c_272819]) ).
tcf(c_273414,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273397,c_272819]) ).
tcf(c_273418,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273396,c_272819]) ).
tcf(c_273454,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_270040,c_105]) ).
tcf(c_273455,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270040,c_271682]) ).
tcf(c_273470,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_270042,c_105]) ).
tcf(c_273471,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270042,c_271682]) ).
tcf(c_273488,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_270052]) ).
tcf(c_273490,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_270052]) ).
tcf(c_273491,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_270052]) ).
tcf(c_273492,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_270052]) ).
tcf(c_273493,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_270052]) ).
tcf(c_273494,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_270052]) ).
tcf(c_273495,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_270052]) ).
tcf(c_273496,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_270052]) ).
tcf(c_273497,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_653,c_270052]) ).
tcf(c_273498,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270052,c_105]) ).
tcf(c_273499,plain,
( ( sk_c9 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_270052,c_644]) ).
tcf(c_273570,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_270054]) ).
tcf(c_273572,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_270054]) ).
tcf(c_273573,plain,
( ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_270054]) ).
tcf(c_273575,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_270054]) ).
tcf(c_273577,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_270054]) ).
tcf(c_273578,plain,
( ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_270054]) ).
tcf(c_273579,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_653,c_270054]) ).
tcf(c_273580,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270054,c_105]) ).
tcf(c_273581,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_270054,c_644]) ).
tcf(c_273663,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270056,c_105]) ).
tcf(c_273675,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_270070,c_105]) ).
tcf(c_273676,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270070,c_272424]) ).
tcf(c_273689,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c5,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_270072,c_105]) ).
tcf(c_273690,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270072,c_272424]) ).
tcf(c_273703,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270082,c_105]) ).
tcf(c_273704,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270082,c_271565]) ).
tcf(c_273729,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270096,c_105]) ).
tcf(c_273730,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270096,c_271560]) ).
tcf(c_273731,plain,
( ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_273730,c_272819]) ).
tcf(c_273740,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270097,c_105]) ).
tcf(c_273741,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270097,c_271560]) ).
tcf(c_273742,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_273741,c_272819]) ).
tcf(c_273751,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_19,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270098,c_105]) ).
tcf(c_273752,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270098,c_271560]) ).
tcf(c_273753,plain,
( ( sk_c11 = iPr_def_19 )
| ( sk_c11 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_273752,c_272819]) ).
tcf(c_273867,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270105,c_105]) ).
tcf(c_273868,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270105,c_271561]) ).
tcf(c_273876,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_21,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270106,c_105]) ).
tcf(c_273877,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270106,c_271561]) ).
tcf(c_273885,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_19,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270107,c_105]) ).
tcf(c_273886,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270107,c_271561]) ).
tcf(c_273897,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271307,c_270127]) ).
tcf(c_273898,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271088,c_270127]) ).
tcf(c_273899,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270970,c_270127]) ).
tcf(c_273900,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_270127]) ).
tcf(c_273901,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_270127]) ).
tcf(c_273902,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_270127]) ).
tcf(c_273903,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_270127]) ).
tcf(c_273909,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270127,c_105]) ).
tcf(c_273915,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273902,c_272819]) ).
tcf(c_273919,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273901,c_272819]) ).
tcf(c_273923,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273900,c_272819]) ).
tcf(c_273943,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271307,c_270139]) ).
tcf(c_273944,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_21,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271088,c_270139]) ).
tcf(c_273945,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_19,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270970,c_270139]) ).
tcf(c_273946,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_270139]) ).
tcf(c_273947,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_270139]) ).
tcf(c_273948,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_270139]) ).
tcf(c_273949,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_270139]) ).
tcf(c_273955,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270139,c_105]) ).
tcf(c_273961,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273948,c_272819]) ).
tcf(c_273965,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273947,c_272819]) ).
tcf(c_273969,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273946,c_272819]) ).
tcf(c_273992,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_270151]) ).
tcf(c_273993,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_270151]) ).
tcf(c_273994,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_270151]) ).
tcf(c_273995,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_270151]) ).
tcf(c_274001,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c11,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270151,c_105]) ).
tcf(c_274006,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273994,c_272819]) ).
tcf(c_274010,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273993,c_272819]) ).
tcf(c_274014,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_273992,c_272819]) ).
tcf(c_274023,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_270190,c_105]) ).
tcf(c_274024,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270190,c_272424]) ).
tcf(c_274036,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_270191]) ).
tcf(c_274038,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_270191]) ).
tcf(c_274039,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_270191]) ).
tcf(c_274040,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_270191]) ).
tcf(c_274041,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_270191]) ).
tcf(c_274042,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_270191]) ).
tcf(c_274043,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_270191]) ).
tcf(c_274044,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_270191]) ).
tcf(c_274046,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270191,c_105]) ).
tcf(c_274047,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_270191,c_644]) ).
tcf(c_274105,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_270192,c_105]) ).
tcf(c_274106,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270192,c_271682]) ).
tcf(c_274114,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270225,c_105]) ).
tcf(c_274115,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270225,c_271565]) ).
tcf(c_274116,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_274115,c_272860]) ).
tcf(c_274129,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_271701,c_270226]) ).
tcf(c_274131,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_678,c_270226]) ).
tcf(c_274135,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270226,c_105]) ).
tcf(c_274184,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270266,c_105]) ).
tcf(c_274185,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270266,c_271565]) ).
tcf(c_274186,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_274185,c_272860]) ).
tcf(c_274199,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_271701,c_270267]) ).
tcf(c_274201,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_678,c_270267]) ).
tcf(c_274205,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270267,c_105]) ).
tcf(c_274218,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270294,c_105]) ).
tcf(c_274219,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270294,c_271565]) ).
tcf(c_274237,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270295,c_105]) ).
tcf(c_274247,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271307,c_270332]) ).
tcf(c_274248,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271088,c_270332]) ).
tcf(c_274249,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270970,c_270332]) ).
tcf(c_274250,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_270332]) ).
tcf(c_274251,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_270332]) ).
tcf(c_274252,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_270332]) ).
tcf(c_274253,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_270332]) ).
tcf(c_274259,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c11,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270332,c_105]) ).
tcf(c_274314,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270376,c_105]) ).
tcf(c_274315,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270376,c_271565]) ).
tcf(c_274316,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_274315,c_272860]) ).
tcf(c_274329,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_271701,c_270377]) ).
tcf(c_274331,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_678,c_270377]) ).
tcf(c_274335,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270377,c_105]) ).
tcf(c_274350,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_270470,c_105]) ).
tcf(c_274351,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270470,c_272424]) ).
tcf(c_274364,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_270471]) ).
tcf(c_274366,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_270471]) ).
tcf(c_274367,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_270471]) ).
tcf(c_274368,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_270471]) ).
tcf(c_274374,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270471,c_105]) ).
tcf(c_274375,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_270471,c_644]) ).
tcf(c_274397,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_270472,c_105]) ).
tcf(c_274398,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270472,c_271682]) ).
tcf(c_274429,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270509,c_105]) ).
tcf(c_274430,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270509,c_271561]) ).
tcf(c_274431,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_274430,c_272822]) ).
tcf(c_274549,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270510,c_105]) ).
tcf(c_274550,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270510,c_271560]) ).
tcf(c_274564,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_270513]) ).
tcf(c_274573,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270513,c_105]) ).
tcf(c_274586,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270594,c_105]) ).
tcf(c_274587,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270594,c_271561]) ).
tcf(c_274588,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_274587,c_272822]) ).
tcf(c_274597,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270595,c_105]) ).
tcf(c_274598,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270595,c_271560]) ).
tcf(c_274612,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_270598]) ).
tcf(c_274621,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270598,c_105]) ).
tcf(c_274631,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270650,c_105]) ).
tcf(c_274632,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270650,c_271565]) ).
tcf(c_274650,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270651,c_105]) ).
tcf(c_274661,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271307,c_270685]) ).
tcf(c_274662,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271088,c_270685]) ).
tcf(c_274663,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270970,c_270685]) ).
tcf(c_274664,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_270685]) ).
tcf(c_274665,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_270685]) ).
tcf(c_274666,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_270685]) ).
tcf(c_274667,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_270685]) ).
tcf(c_274673,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c11,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270685,c_105]) ).
tcf(c_274743,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270732,c_105]) ).
tcf(c_274744,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270732,c_271561]) ).
tcf(c_274745,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_274744,c_272822]) ).
tcf(c_274796,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_27,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270733,c_105]) ).
tcf(c_274797,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270733,c_271560]) ).
tcf(c_274811,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_270736]) ).
tcf(c_274820,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270736,c_105]) ).
tcf(c_274832,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_270841,c_105]) ).
tcf(c_274833,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270841,c_272424]) ).
tcf(c_274848,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_270842]) ).
tcf(c_274850,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_270842]) ).
tcf(c_274851,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_270842]) ).
tcf(c_274858,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270842,c_105]) ).
tcf(c_274859,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_270842,c_644]) ).
tcf(c_274899,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_270843,c_105]) ).
tcf(c_274900,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270843,c_271682]) ).
tcf(c_274908,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270861,c_105]) ).
tcf(c_274944,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270863,c_105]) ).
tcf(c_274955,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270865,c_105]) ).
tcf(c_274966,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270867,c_105]) ).
tcf(c_274977,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270869,c_105]) ).
tcf(c_274987,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270971,c_105]) ).
tcf(c_274988,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270971,c_271565]) ).
tcf(c_274989,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_274988,c_272860]) ).
tcf(c_275011,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270972,c_105]) ).
tcf(c_275024,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_271090,c_105]) ).
tcf(c_275025,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271090,c_271565]) ).
tcf(c_275026,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_275025,c_272860]) ).
tcf(c_275048,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_271091,c_105]) ).
tcf(c_275055,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272692,c_271189]) ).
tcf(c_275056,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272691,c_271189]) ).
tcf(c_275057,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272601,c_271189]) ).
tcf(c_275058,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_271189,c_105]) ).
tcf(c_275059,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271189,c_271565]) ).
tcf(c_275086,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272692,c_271190]) ).
tcf(c_275087,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272691,c_271190]) ).
tcf(c_275088,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272601,c_271190]) ).
tcf(c_275089,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_271190,c_105]) ).
tcf(c_275111,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271307,c_271261]) ).
tcf(c_275112,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271088,c_271261]) ).
tcf(c_275113,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270970,c_271261]) ).
tcf(c_275114,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269956,c_271261]) ).
tcf(c_275115,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269955,c_271261]) ).
tcf(c_275116,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269921,c_271261]) ).
tcf(c_275123,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c11,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_271261,c_105]) ).
tcf(c_275179,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_271311,c_105]) ).
tcf(c_275180,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271311,c_271565]) ).
tcf(c_275181,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_275180,c_272860]) ).
tcf(c_275355,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_271312,c_105]) ).
tcf(c_275364,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272429,c_105]) ).
tcf(c_275365,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272429,c_271566]) ).
tcf(c_275374,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272430,c_105]) ).
tcf(c_275375,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272430,c_271566]) ).
tcf(c_275384,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272431,c_105]) ).
tcf(c_275385,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272431,c_271566]) ).
tcf(c_275394,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272432,c_105]) ).
tcf(c_275395,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272432,c_271566]) ).
tcf(c_275404,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272433,c_105]) ).
tcf(c_275405,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272433,c_271566]) ).
tcf(c_275414,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,multiply(iPr_def_19,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272434,c_105]) ).
tcf(c_275415,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272434,c_271566]) ).
tcf(c_275420,plain,
( ( sk_c11 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_270164,c_6457]) ).
tcf(c_275421,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_16 ) ),
inference(renaming,[status(thm)],[c_275420]) ).
tcf(c_275423,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,sk_c9),
inference(superposition,[status(thm)],[c_626,c_271540]) ).
tcf(c_275424,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_271261,c_271540]) ).
tcf(c_275425,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270685,c_271540]) ).
tcf(c_275426,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270332,c_271540]) ).
tcf(c_275427,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269935,c_271540]) ).
tcf(c_275428,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270151,c_271540]) ).
tcf(c_275429,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270139,c_271540]) ).
tcf(c_275430,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270127,c_271540]) ).
tcf(c_275431,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270032,c_271540]) ).
tcf(c_275432,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270010,c_271540]) ).
tcf(c_275439,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_271307,c_271540]) ).
tcf(c_275440,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_21,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_271088,c_271540]) ).
tcf(c_275441,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_19,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270970,c_271540]) ).
tcf(c_275442,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269956,c_271540]) ).
tcf(c_275443,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269955,c_271540]) ).
tcf(c_275444,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269921,c_271540]) ).
tcf(c_275451,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_28,X0),X1),
inference(superposition,[status(thm)],[c_271540,c_105]) ).
tcf(c_275578,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c9),X0) = multiply(sk_c1,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_275423,c_105]) ).
tcf(c_275579,plain,
multiply(iPr_def_27,multiply(iPr_def_28,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_275423,c_271561]) ).
tcf(c_275617,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_23,X0),X1),
inference(superposition,[status(thm)],[c_271542,c_105]) ).
tcf(c_275619,plain,
multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,sk_c10),
inference(superposition,[status(thm)],[c_631,c_271543]) ).
tcf(c_275620,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270651,c_271543]) ).
tcf(c_275621,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270295,c_271543]) ).
tcf(c_275622,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270056,c_271543]) ).
tcf(c_275623,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270377,c_271543]) ).
tcf(c_275624,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270267,c_271543]) ).
tcf(c_275625,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270226,c_271543]) ).
tcf(c_275626,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271312,c_271543]) ).
tcf(c_275627,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271190,c_271543]) ).
tcf(c_275628,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271091,c_271543]) ).
tcf(c_275629,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270972,c_271543]) ).
tcf(c_275640,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_21,X0),X1),
inference(superposition,[status(thm)],[c_271543,c_105]) ).
tcf(c_275682,plain,
! [X0: $i] : multiply(multiply(iPr_def_21,sk_c10),X0) = multiply(sk_c5,multiply(iPr_def_19,X0)),
inference(superposition,[status(thm)],[c_275619,c_105]) ).
tcf(c_275683,plain,
multiply(iPr_def_17,multiply(iPr_def_21,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_275619,c_272424]) ).
tcf(c_275702,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_272773,c_105]) ).
tcf(c_275709,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_272977,c_105]) ).
tcf(c_275716,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273178,c_105]) ).
tcf(c_275723,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273400,c_105]) ).
tcf(c_275730,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_273579,c_105]) ).
tcf(c_275737,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273995,c_105]) ).
tcf(c_275744,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_274042,c_105]) ).
tcf(c_275751,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_274368,c_105]) ).
tcf(c_275786,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_19,X0),X1),
inference(superposition,[status(thm)],[c_271544,c_105]) ).
tcf(c_275787,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_21,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_271544,c_271543]) ).
tcf(c_275813,plain,
multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,sk_c10),
inference(superposition,[status(thm)],[c_631,c_271545]) ).
tcf(c_275814,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270651,c_271545]) ).
tcf(c_275815,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270295,c_271545]) ).
tcf(c_275816,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270056,c_271545]) ).
tcf(c_275817,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270377,c_271545]) ).
tcf(c_275818,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270267,c_271545]) ).
tcf(c_275819,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270226,c_271545]) ).
tcf(c_275820,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271312,c_271545]) ).
tcf(c_275821,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271190,c_271545]) ).
tcf(c_275822,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271091,c_271545]) ).
tcf(c_275823,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270972,c_271545]) ).
tcf(c_275824,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_15,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_271544,c_271545]) ).
tcf(c_275835,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1),
inference(superposition,[status(thm)],[c_271545,c_105]) ).
tcf(c_275883,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,sk_c10),X0) = multiply(sk_c7,multiply(iPr_def_19,X0)),
inference(superposition,[status(thm)],[c_275813,c_105]) ).
tcf(c_275884,plain,
multiply(iPr_def_15,multiply(iPr_def_15,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_275813,c_271682]) ).
tcf(c_275885,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,sk_c10),X0) = multiply(iPr_def_15,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_275883,c_275824]) ).
tcf(c_275892,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_271307,c_271546]) ).
tcf(c_275893,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_271088,c_271546]) ).
tcf(c_275894,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270970,c_271546]) ).
tcf(c_275895,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269956,c_271546]) ).
tcf(c_275896,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269955,c_271546]) ).
tcf(c_275897,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269921,c_271546]) ).
tcf(c_275915,plain,
! [X0: $i,X1: $i] : multiply(sk_c11,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1),
inference(superposition,[status(thm)],[c_271546,c_105]) ).
tcf(c_275916,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_28,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_271546,c_271540]) ).
tcf(c_276205,plain,
( ~ iPr_def_13
| ( inverse(inverse(identity)) != inverse(identity) )
| ( multiply(identity,inverse(identity)) != sk_c11 )
| ( multiply(inverse(identity),sk_c10) != sk_c11 ) ),
inference(resolution,[status(thm)],[c_642,c_103]) ).
tcf(c_276247,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,sk_c9),
inference(superposition,[status(thm)],[c_626,c_271547]) ).
tcf(c_276248,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_271261,c_271547]) ).
tcf(c_276249,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270685,c_271547]) ).
tcf(c_276250,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270332,c_271547]) ).
tcf(c_276251,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269935,c_271547]) ).
tcf(c_276252,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270151,c_271547]) ).
tcf(c_276253,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270139,c_271547]) ).
tcf(c_276254,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270127,c_271547]) ).
tcf(c_276255,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270032,c_271547]) ).
tcf(c_276256,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_14) = multiply(iPr_def_26,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270010,c_271547]) ).
tcf(c_276257,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(iPr_def_26,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_271546,c_271547]) ).
tcf(c_276264,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_271307,c_271547]) ).
tcf(c_276265,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_271088,c_271547]) ).
tcf(c_276266,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_19,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270970,c_271547]) ).
tcf(c_276267,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269956,c_271547]) ).
tcf(c_276268,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269955,c_271547]) ).
tcf(c_276269,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269921,c_271547]) ).
tcf(c_276276,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1),
inference(superposition,[status(thm)],[c_271547,c_105]) ).
tcf(c_276413,plain,
! [X0: $i] :
( ( iPr_def_14 = sk_c10 )
| ( X0 = iPr_def_19 )
| ( X0 != sk_c11 ) ),
inference(resolution,[status(thm)],[c_698,c_670]) ).
tcf(c_276414,plain,
( ( iPr_def_14 = sk_c10 )
| ( sk_c11 = iPr_def_19 )
| ( sk_c11 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_276413]) ).
tcf(c_276502,plain,
! [X0: $i] :
( ( X0 = inverse(identity) )
| ( X0 != identity ) ),
inference(resolution,[status(thm)],[c_698,c_63435]) ).
tcf(c_276503,plain,
( ( sk_c11 = inverse(identity) )
| ( sk_c11 != identity ) ),
inference(instantiation,[status(thm)],[c_276502]) ).
tcf(c_276506,plain,
! [X0: $i] : multiply(multiply(iPr_def_26,sk_c9),X0) = multiply(sk_c2,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_276247,c_105]) ).
tcf(c_276507,plain,
multiply(iPr_def_16,multiply(iPr_def_26,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_276247,c_271560]) ).
tcf(c_276508,plain,
! [X0: $i] : multiply(multiply(iPr_def_26,sk_c9),X0) = multiply(iPr_def_26,multiply(sk_c9,X0)),
inference(light_normalisation,[status(thm)],[c_276506,c_276257]) ).
tcf(c_276513,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_270326,c_7969]) ).
tcf(c_276514,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(renaming,[status(thm)],[c_276513]) ).
tcf(c_276521,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272090,c_271561]) ).
tcf(c_276528,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272091,c_271560]) ).
tcf(c_276556,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272183,c_271561]) ).
tcf(c_276563,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272184,c_271560]) ).
tcf(c_276619,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272281,c_271561]) ).
tcf(c_276626,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272282,c_271560]) ).
tcf(c_276654,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_16,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272426,c_105]) ).
tcf(c_276655,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272426,c_271566]) ).
tcf(c_276664,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_16,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272427,c_105]) ).
tcf(c_276665,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272427,c_271566]) ).
tcf(c_276674,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_16,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272428,c_105]) ).
tcf(c_276675,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272428,c_271566]) ).
tcf(c_276680,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,sk_c9),
inference(superposition,[status(thm)],[c_626,c_272436]) ).
tcf(c_276681,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_271261,c_272436]) ).
tcf(c_276682,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270685,c_272436]) ).
tcf(c_276683,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270332,c_272436]) ).
tcf(c_276684,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269935,c_272436]) ).
tcf(c_276685,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270151,c_272436]) ).
tcf(c_276686,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270139,c_272436]) ).
tcf(c_276687,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270127,c_272436]) ).
tcf(c_276688,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270032,c_272436]) ).
tcf(c_276689,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_22,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_270010,c_272436]) ).
tcf(c_276690,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_22,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_271546,c_272436]) ).
tcf(c_276697,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_271307,c_272436]) ).
tcf(c_276698,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_21,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_271088,c_272436]) ).
tcf(c_276699,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_19,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_270970,c_272436]) ).
tcf(c_276709,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1),
inference(superposition,[status(thm)],[c_272436,c_105]) ).
tcf(c_276721,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_14) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_276684,c_272860]) ).
tcf(c_276724,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_14) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_276683,c_272860]) ).
tcf(c_276727,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_14) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_276682,c_272860]) ).
tcf(c_276730,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_14) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_276681,c_272860]) ).
tcf(c_276775,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c9),X0) = multiply(sk_c3,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_276680,c_105]) ).
tcf(c_276776,plain,
multiply(iPr_def_24,multiply(iPr_def_22,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_276680,c_271566]) ).
tcf(c_276777,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c9),X0) = multiply(iPr_def_22,multiply(sk_c9,X0)),
inference(light_normalisation,[status(thm)],[c_276775,c_276690]) ).
tcf(c_276783,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272544,c_271561]) ).
tcf(c_276790,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272545,c_271560]) ).
tcf(c_276814,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272535,c_271566]) ).
tcf(c_276821,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272602,c_271566]) ).
tcf(c_276828,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272611,c_271561]) ).
tcf(c_276832,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_270679,c_9129]) ).
tcf(c_276833,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(renaming,[status(thm)],[c_276832]) ).
tcf(c_276870,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272612,c_271560]) ).
tcf(c_276895,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272702,c_271561]) ).
tcf(c_276902,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272703,c_271560]) ).
tcf(c_276909,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272693,c_271566]) ).
tcf(c_276929,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_272821,c_105]) ).
tcf(c_276930,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272692,c_272824]) ).
tcf(c_276931,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272691,c_272824]) ).
tcf(c_276932,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272601,c_272824]) ).
tcf(c_276933,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(iPr_def_28,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_272824,c_105]) ).
tcf(c_276942,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_22,multiply(multiply(iPr_def_23,X0),X1)) = multiply(multiply(sk_c10,X0),X1),
inference(superposition,[status(thm)],[c_272995,c_105]) ).
tcf(c_276943,plain,
multiply(sk_c8,iPr_def_15) = multiply(iPr_def_15,sk_c8),
inference(superposition,[status(thm)],[c_273007,c_273010]) ).
tcf(c_276944,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_271682,c_273010]) ).
tcf(c_276945,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_271657,c_273010]) ).
tcf(c_276947,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_273010,c_105]) ).
tcf(c_276948,plain,
! [X0: $i] : multiply(sk_c8,multiply(iPr_def_15,X0)) = multiply(iPr_def_15,multiply(sk_c8,X0)),
inference(superposition,[status(thm)],[c_273010,c_273010]) ).
tcf(c_276952,plain,
multiply(sk_c11,sk_c4) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_270115,c_273012]) ).
tcf(c_276953,plain,
! [X0: $i] : multiply(sk_c11,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_271565,c_273012]) ).
tcf(c_276954,plain,
multiply(sk_c11,iPr_def_23) = multiply(iPr_def_24,sk_c10),
inference(superposition,[status(thm)],[c_272860,c_273012]) ).
tcf(c_276955,plain,
! [X0: $i] : multiply(sk_c11,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_272995,c_273012]) ).
tcf(c_276956,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_24,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_273012,c_105]) ).
tcf(c_276957,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_271261,c_276954]) ).
tcf(c_276958,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270685,c_276954]) ).
tcf(c_276959,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270332,c_276954]) ).
tcf(c_276960,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c10) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_269935,c_276954]) ).
tcf(c_276997,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_17,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_272614,c_273230]) ).
tcf(c_276998,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_17,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269933,c_273230]) ).
tcf(c_276999,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_23) = multiply(iPr_def_17,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_272773,c_273230]) ).
tcf(c_277000,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_273230,c_105]) ).
tcf(c_277012,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_271701,c_276943]) ).
tcf(c_277014,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_17) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_678,c_276943]) ).
tcf(c_277015,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_17) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_668,c_276943]) ).
tcf(c_277016,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_658,c_276943]) ).
tcf(c_277017,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_648,c_276943]) ).
tcf(c_277018,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,sk_c8),X0) = multiply(sk_c8,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_276943,c_105]) ).
tcf(c_277019,plain,
multiply(sk_c7,multiply(iPr_def_15,sk_c8)) = multiply(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_276943,c_271545]) ).
tcf(c_277020,plain,
multiply(sk_c5,multiply(iPr_def_15,sk_c8)) = multiply(iPr_def_21,iPr_def_15),
inference(superposition,[status(thm)],[c_276943,c_271543]) ).
tcf(c_277021,plain,
multiply(sk_c7,multiply(iPr_def_15,sk_c8)) = sk_c8,
inference(light_normalisation,[status(thm)],[c_277019,c_273007]) ).
tcf(c_277022,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,sk_c8),X0) = multiply(iPr_def_15,multiply(sk_c8,X0)),
inference(light_normalisation,[status(thm)],[c_277018,c_276948]) ).
tcf(c_277037,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_17,sk_c7) ) ),
inference(superposition,[status(thm)],[c_271701,c_276945]) ).
tcf(c_277039,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_17,sk_c7) ) ),
inference(superposition,[status(thm)],[c_678,c_276945]) ).
tcf(c_277040,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_17,sk_c7) ) ),
inference(superposition,[status(thm)],[c_668,c_276945]) ).
tcf(c_277041,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_17,sk_c7) ) ),
inference(superposition,[status(thm)],[c_658,c_276945]) ).
tcf(c_277042,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_17,sk_c7) ) ),
inference(superposition,[status(thm)],[c_648,c_276945]) ).
tcf(c_277043,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,identity),X0) = multiply(sk_c8,multiply(sk_c7,X0)),
inference(superposition,[status(thm)],[c_276945,c_105]) ).
tcf(c_277044,plain,
multiply(sk_c7,multiply(iPr_def_15,identity)) = multiply(iPr_def_15,sk_c7),
inference(superposition,[status(thm)],[c_276945,c_271545]) ).
tcf(c_277045,plain,
multiply(sk_c5,multiply(iPr_def_15,identity)) = multiply(iPr_def_21,sk_c7),
inference(superposition,[status(thm)],[c_276945,c_271543]) ).
tcf(c_277046,plain,
multiply(sk_c7,multiply(iPr_def_15,identity)) = identity,
inference(light_normalisation,[status(thm)],[c_277044,c_271657]) ).
tcf(c_277047,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,identity),X0) = multiply(iPr_def_15,X0),
inference(light_normalisation,[status(thm)],[c_277043,c_276944]) ).
tcf(c_277090,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_271307,c_276952]) ).
tcf(c_277091,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_271088,c_276952]) ).
tcf(c_277092,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_270970,c_276952]) ).
tcf(c_277093,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_269956,c_276952]) ).
tcf(c_277094,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_269955,c_276952]) ).
tcf(c_277095,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_269921,c_276952]) ).
tcf(c_277096,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_24,identity) = multiply(iPr_def_27,sk_c4) ) ),
inference(superposition,[status(thm)],[c_685,c_276952]) ).
tcf(c_277097,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_24,identity) = multiply(iPr_def_27,sk_c4) ) ),
inference(superposition,[status(thm)],[c_682,c_276952]) ).
tcf(c_277098,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_24,identity) = multiply(iPr_def_27,sk_c4) ) ),
inference(superposition,[status(thm)],[c_680,c_276952]) ).
tcf(c_277099,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_655,c_276952]) ).
tcf(c_277100,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_652,c_276952]) ).
tcf(c_277101,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,sk_c4) = multiply(iPr_def_24,identity) ) ),
inference(superposition,[status(thm)],[c_650,c_276952]) ).
tcf(c_277102,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,identity),X0) = multiply(sk_c11,multiply(sk_c4,X0)),
inference(superposition,[status(thm)],[c_276952,c_105]) ).
tcf(c_277103,plain,
multiply(sk_c3,multiply(iPr_def_24,identity)) = multiply(iPr_def_22,sk_c4),
inference(superposition,[status(thm)],[c_276952,c_272436]) ).
tcf(c_277104,plain,
multiply(sk_c2,multiply(iPr_def_24,identity)) = multiply(iPr_def_26,sk_c4),
inference(superposition,[status(thm)],[c_276952,c_271547]) ).
tcf(c_277105,plain,
multiply(sk_c1,multiply(iPr_def_24,identity)) = multiply(iPr_def_28,sk_c4),
inference(superposition,[status(thm)],[c_276952,c_271540]) ).
tcf(c_277106,plain,
multiply(sk_c3,multiply(iPr_def_24,identity)) = identity,
inference(light_normalisation,[status(thm)],[c_277103,c_270115]) ).
tcf(c_277107,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,identity),X0) = multiply(iPr_def_24,X0),
inference(light_normalisation,[status(thm)],[c_277102,c_276953]) ).
tcf(c_277176,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c10) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_271307,c_276954]) ).
tcf(c_277177,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_271088,c_276954]) ).
tcf(c_277178,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_270970,c_276954]) ).
tcf(c_277179,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_269956,c_276954]) ).
tcf(c_277180,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_269955,c_276954]) ).
tcf(c_277181,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_269921,c_276954]) ).
tcf(c_277182,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_24,sk_c10) = multiply(iPr_def_27,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_685,c_276954]) ).
tcf(c_277183,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c10) = multiply(iPr_def_27,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_682,c_276954]) ).
tcf(c_277184,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_24,sk_c10) = multiply(iPr_def_27,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_680,c_276954]) ).
tcf(c_277185,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c10) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_655,c_276954]) ).
tcf(c_277186,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_652,c_276954]) ).
tcf(c_277187,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_23) = multiply(iPr_def_24,sk_c10) ) ),
inference(superposition,[status(thm)],[c_650,c_276954]) ).
tcf(c_277188,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c10),X0) = multiply(sk_c11,multiply(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_276954,c_105]) ).
tcf(c_277189,plain,
multiply(sk_c3,multiply(iPr_def_24,sk_c10)) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_276954,c_272436]) ).
tcf(c_277190,plain,
multiply(sk_c2,multiply(iPr_def_24,sk_c10)) = multiply(iPr_def_26,iPr_def_23),
inference(superposition,[status(thm)],[c_276954,c_271547]) ).
tcf(c_277191,plain,
multiply(sk_c1,multiply(iPr_def_24,sk_c10)) = multiply(iPr_def_28,iPr_def_23),
inference(superposition,[status(thm)],[c_276954,c_271540]) ).
tcf(c_277192,plain,
multiply(sk_c3,multiply(iPr_def_24,sk_c10)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_277189,c_272860]) ).
tcf(c_277193,plain,
! [X0: $i] : multiply(multiply(iPr_def_24,sk_c10),X0) = multiply(iPr_def_24,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_277188,c_276955]) ).
tcf(c_277266,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_271549,c_103]) ).
tcf(c_277279,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_63435,c_277266]) ).
tcf(c_277280,plain,
multiply(inverse(sk_c1),iPr_def_28) = sk_c11,
inference(superposition,[status(thm)],[c_640,c_277266]) ).
tcf(c_277281,plain,
multiply(inverse(sk_c3),iPr_def_22) = sk_c11,
inference(superposition,[status(thm)],[c_272373,c_277266]) ).
tcf(c_277282,plain,
multiply(inverse(sk_c4),iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_635,c_277266]) ).
tcf(c_277283,plain,
multiply(inverse(sk_c5),iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_633,c_277266]) ).
tcf(c_277284,plain,
multiply(inverse(sk_c8),iPr_def_19) = sk_c10,
inference(superposition,[status(thm)],[c_631,c_277266]) ).
tcf(c_277285,plain,
multiply(inverse(sk_c7),iPr_def_15) = sk_c8,
inference(superposition,[status(thm)],[c_627,c_277266]) ).
tcf(c_277286,plain,
multiply(inverse(sk_c11),iPr_def_14) = sk_c9,
inference(superposition,[status(thm)],[c_626,c_277266]) ).
tcf(c_277287,plain,
multiply(inverse(sk_c2),iPr_def_26) = sk_c11,
inference(superposition,[status(thm)],[c_638,c_277266]) ).
tcf(c_277288,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_277266]) ).
tcf(c_277289,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_277266]) ).
tcf(c_277290,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_277266]) ).
tcf(c_277291,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272614,c_277266]) ).
tcf(c_277292,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_21),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_269933,c_277266]) ).
tcf(c_277293,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272547,c_277266]) ).
tcf(c_277294,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_19),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_269934,c_277266]) ).
tcf(c_277295,plain,
multiply(inverse(sk_c11),multiply(iPr_def_24,sk_c10)) = iPr_def_23,
inference(superposition,[status(thm)],[c_276954,c_277266]) ).
tcf(c_277296,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272704,c_277266]) ).
tcf(c_277297,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_24),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_269954,c_277266]) ).
tcf(c_277298,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270151,c_277266]) ).
tcf(c_277299,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270139,c_277266]) ).
tcf(c_277300,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270127,c_277266]) ).
tcf(c_277301,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270032,c_277266]) ).
tcf(c_277302,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270010,c_277266]) ).
tcf(c_277303,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270843,c_277266]) ).
tcf(c_277304,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270472,c_277266]) ).
tcf(c_277305,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270192,c_277266]) ).
tcf(c_277306,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270042,c_277266]) ).
tcf(c_277307,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270040,c_277266]) ).
tcf(c_277308,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270842,c_277266]) ).
tcf(c_277309,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270471,c_277266]) ).
tcf(c_277310,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270191,c_277266]) ).
tcf(c_277311,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270054,c_277266]) ).
tcf(c_277312,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270052,c_277266]) ).
tcf(c_277313,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270651,c_277266]) ).
tcf(c_277314,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270295,c_277266]) ).
tcf(c_277315,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270056,c_277266]) ).
tcf(c_277316,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270841,c_277266]) ).
tcf(c_277317,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270470,c_277266]) ).
tcf(c_277318,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270190,c_277266]) ).
tcf(c_277319,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270072,c_277266]) ).
tcf(c_277320,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270070,c_277266]) ).
tcf(c_277321,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270650,c_277266]) ).
tcf(c_277322,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270294,c_277266]) ).
tcf(c_277323,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270082,c_277266]) ).
tcf(c_277324,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272693,c_277266]) ).
tcf(c_277325,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272432,c_277266]) ).
tcf(c_277326,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272602,c_277266]) ).
tcf(c_277327,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272433,c_277266]) ).
tcf(c_277328,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272535,c_277266]) ).
tcf(c_277329,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272434,c_277266]) ).
tcf(c_277330,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272703,c_277266]) ).
tcf(c_277331,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270096,c_277266]) ).
tcf(c_277332,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272612,c_277266]) ).
tcf(c_277333,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270097,c_277266]) ).
tcf(c_277334,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272545,c_277266]) ).
tcf(c_277335,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270098,c_277266]) ).
tcf(c_277336,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272702,c_277266]) ).
tcf(c_277337,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270105,c_277266]) ).
tcf(c_277338,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272611,c_277266]) ).
tcf(c_277339,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270106,c_277266]) ).
tcf(c_277340,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272544,c_277266]) ).
tcf(c_277341,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270107,c_277266]) ).
tcf(c_277342,plain,
multiply(inverse(iPr_def_24),identity) = sk_c3,
inference(superposition,[status(thm)],[c_270114,c_277266]) ).
tcf(c_277343,plain,
multiply(inverse(iPr_def_22),identity) = sk_c4,
inference(superposition,[status(thm)],[c_270115,c_277266]) ).
tcf(c_277344,plain,
multiply(inverse(iPr_def_17),identity) = sk_c6,
inference(superposition,[status(thm)],[c_270118,c_277266]) ).
tcf(c_277345,plain,
multiply(inverse(iPr_def_27),identity) = sk_c1,
inference(superposition,[status(thm)],[c_270119,c_277266]) ).
tcf(c_277346,plain,
multiply(inverse(iPr_def_16),identity) = sk_c2,
inference(superposition,[status(thm)],[c_270120,c_277266]) ).
tcf(c_277347,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270376,c_277266]) ).
tcf(c_277348,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270266,c_277266]) ).
tcf(c_277349,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270225,c_277266]) ).
tcf(c_277350,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270377,c_277266]) ).
tcf(c_277351,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270267,c_277266]) ).
tcf(c_277352,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270226,c_277266]) ).
tcf(c_277353,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270869,c_277266]) ).
tcf(c_277354,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270867,c_277266]) ).
tcf(c_277355,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270865,c_277266]) ).
tcf(c_277356,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270863,c_277266]) ).
tcf(c_277357,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270861,c_277266]) ).
tcf(c_277358,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270732,c_277266]) ).
tcf(c_277359,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270594,c_277266]) ).
tcf(c_277360,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270509,c_277266]) ).
tcf(c_277361,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270733,c_277266]) ).
tcf(c_277362,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270595,c_277266]) ).
tcf(c_277363,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270510,c_277266]) ).
tcf(c_277364,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272431,c_277266]) ).
tcf(c_277365,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272430,c_277266]) ).
tcf(c_277366,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272429,c_277266]) ).
tcf(c_277367,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270736,c_277266]) ).
tcf(c_277368,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270598,c_277266]) ).
tcf(c_277369,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270513,c_277266]) ).
tcf(c_277370,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271311,c_277266]) ).
tcf(c_277371,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271189,c_277266]) ).
tcf(c_277372,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271090,c_277266]) ).
tcf(c_277373,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270971,c_277266]) ).
tcf(c_277374,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271312,c_277266]) ).
tcf(c_277375,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271190,c_277266]) ).
tcf(c_277376,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271091,c_277266]) ).
tcf(c_277377,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270972,c_277266]) ).
tcf(c_277378,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272281,c_277266]) ).
tcf(c_277379,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272183,c_277266]) ).
tcf(c_277380,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272090,c_277266]) ).
tcf(c_277381,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272282,c_277266]) ).
tcf(c_277382,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272184,c_277266]) ).
tcf(c_277383,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272091,c_277266]) ).
tcf(c_277384,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272428,c_277266]) ).
tcf(c_277385,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272427,c_277266]) ).
tcf(c_277386,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272426,c_277266]) ).
tcf(c_277387,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272285,c_277266]) ).
tcf(c_277388,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272187,c_277266]) ).
tcf(c_277389,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272094,c_277266]) ).
tcf(c_277390,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_28,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_271540,c_277266]) ).
tcf(c_277391,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_22,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_272436,c_277266]) ).
tcf(c_277392,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_23,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_271542,c_277266]) ).
tcf(c_277393,plain,
! [X0: $i] : multiply(inverse(sk_c5),multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_271543,c_277266]) ).
tcf(c_277394,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_19,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_271544,c_277266]) ).
tcf(c_277395,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_15,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_271545,c_277266]) ).
tcf(c_277396,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_14,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_271546,c_277266]) ).
tcf(c_277397,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_26,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_271547,c_277266]) ).
tcf(c_277399,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_271566,c_277266]) ).
tcf(c_277400,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_271565,c_277266]) ).
tcf(c_277401,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_271562,c_277266]) ).
tcf(c_277402,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_271561,c_277266]) ).
tcf(c_277403,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_271560,c_277266]) ).
tcf(c_277404,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_21),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272773,c_277266]) ).
tcf(c_277405,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_19),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272977,c_277266]) ).
tcf(c_277406,plain,
multiply(inverse(iPr_def_16),sk_c11) = iPr_def_26,
inference(superposition,[status(thm)],[c_272819,c_277266]) ).
tcf(c_277407,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c11,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_272821,c_277266]) ).
tcf(c_277408,plain,
multiply(inverse(iPr_def_27),sk_c11) = iPr_def_28,
inference(superposition,[status(thm)],[c_272822,c_277266]) ).
tcf(c_277409,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(sk_c11,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_272824,c_277266]) ).
tcf(c_277410,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_24),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_273178,c_277266]) ).
tcf(c_277411,plain,
multiply(inverse(iPr_def_22),sk_c10) = iPr_def_23,
inference(superposition,[status(thm)],[c_272860,c_277266]) ).
tcf(c_277412,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c10,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_272995,c_277266]) ).
tcf(c_277413,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_273995,c_277266]) ).
tcf(c_277414,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_273400,c_277266]) ).
tcf(c_277415,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_29445,c_277266]) ).
tcf(c_277416,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_274368,c_277266]) ).
tcf(c_277417,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_274042,c_277266]) ).
tcf(c_277418,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_273579,c_277266]) ).
tcf(c_277419,plain,
multiply(inverse(sk_c1),multiply(iPr_def_28,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_275423,c_277266]) ).
tcf(c_277420,plain,
multiply(inverse(sk_c2),multiply(iPr_def_26,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_276247,c_277266]) ).
tcf(c_277421,plain,
multiply(inverse(sk_c3),multiply(iPr_def_22,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_276680,c_277266]) ).
tcf(c_277422,plain,
multiply(inverse(iPr_def_15),sk_c8) = iPr_def_15,
inference(superposition,[status(thm)],[c_273007,c_277266]) ).
tcf(c_277423,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_271682,c_277266]) ).
tcf(c_277424,plain,
multiply(inverse(iPr_def_15),identity) = sk_c7,
inference(superposition,[status(thm)],[c_271657,c_277266]) ).
tcf(c_277425,plain,
multiply(inverse(sk_c5),multiply(iPr_def_21,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_275619,c_277266]) ).
tcf(c_277426,plain,
multiply(inverse(sk_c7),multiply(iPr_def_15,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_275813,c_277266]) ).
tcf(c_277427,plain,
multiply(inverse(iPr_def_17),sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_273227,c_277266]) ).
tcf(c_277428,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_272424,c_277266]) ).
tcf(c_277429,plain,
multiply(inverse(iPr_def_17),identity) = sk_c5,
inference(superposition,[status(thm)],[c_271703,c_277266]) ).
tcf(c_277430,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c8,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_273010,c_277266]) ).
tcf(c_277431,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_273230,c_277266]) ).
tcf(c_277432,plain,
multiply(inverse(sk_c11),multiply(iPr_def_24,identity)) = sk_c4,
inference(superposition,[status(thm)],[c_276952,c_277266]) ).
tcf(c_277433,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c11,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_273012,c_277266]) ).
tcf(c_277434,plain,
multiply(inverse(iPr_def_24),sk_c11) = iPr_def_22,
inference(superposition,[status(thm)],[c_272996,c_277266]) ).
tcf(c_277435,plain,
multiply(inverse(sk_c8),multiply(iPr_def_15,sk_c8)) = iPr_def_15,
inference(superposition,[status(thm)],[c_276943,c_277266]) ).
tcf(c_277436,plain,
multiply(inverse(sk_c8),multiply(iPr_def_15,identity)) = sk_c7,
inference(superposition,[status(thm)],[c_276945,c_277266]) ).
tcf(c_277437,plain,
multiply(inverse(iPr_def_14),multiply(sk_c11,identity)) = multiply(inverse(iPr_def_14),sk_c11),
inference(superposition,[status(thm)],[c_86050,c_277266]) ).
tcf(c_277438,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_277266,c_277266]) ).
tcf(c_277439,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_277266,c_105]) ).
tcf(c_278102,plain,
multiply(inverse(inverse(sk_c8)),sk_c10) = iPr_def_19,
inference(superposition,[status(thm)],[c_277284,c_277266]) ).
tcf(c_278122,plain,
multiply(inverse(inverse(sk_c11)),sk_c9) = iPr_def_14,
inference(superposition,[status(thm)],[c_277286,c_277266]) ).
tcf(c_278124,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_277289,c_277438]) ).
tcf(c_278125,plain,
multiply(iPr_def_14,multiply(inverse(iPr_def_14),sk_c11)) = sk_c11,
inference(demodulation,[status(thm)],[c_86050,c_278124]) ).
tcf(c_278126,plain,
multiply(sk_c8,sk_c7) = iPr_def_15,
inference(demodulation,[status(thm)],[c_276945,c_278124]) ).
tcf(c_278127,plain,
multiply(sk_c11,sk_c4) = iPr_def_24,
inference(demodulation,[status(thm)],[c_276952,c_278124]) ).
tcf(c_278131,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_278124,c_105]) ).
tcf(c_278133,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_278124,c_105]) ).
tcf(c_278134,plain,
multiply(sk_c11,identity) = multiply(iPr_def_27,iPr_def_28),
inference(superposition,[status(thm)],[c_278124,c_272824]) ).
tcf(c_278135,plain,
multiply(sk_c3,sk_c11) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_278124,c_272436]) ).
tcf(c_278136,plain,
multiply(sk_c2,sk_c11) = multiply(iPr_def_26,identity),
inference(superposition,[status(thm)],[c_278124,c_271547]) ).
tcf(c_278137,plain,
multiply(sk_c1,sk_c11) = multiply(iPr_def_28,identity),
inference(superposition,[status(thm)],[c_278124,c_271540]) ).
tcf(c_278138,plain,
multiply(sk_c10,identity) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_278124,c_272995]) ).
tcf(c_278139,plain,
multiply(sk_c8,sk_c10) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_278124,c_271544]) ).
tcf(c_278140,plain,
multiply(sk_c4,sk_c10) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_278124,c_271542]) ).
tcf(c_278141,plain,
multiply(sk_c8,identity) = multiply(iPr_def_17,iPr_def_21),
inference(superposition,[status(thm)],[c_278124,c_273230]) ).
tcf(c_278142,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_278124,c_271545]) ).
tcf(c_278143,plain,
multiply(sk_c5,sk_c8) = multiply(iPr_def_21,identity),
inference(superposition,[status(thm)],[c_278124,c_271543]) ).
tcf(c_278144,plain,
multiply(sk_c8,identity) = multiply(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_278124,c_273010]) ).
tcf(c_278145,plain,
multiply(sk_c11,sk_c9) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_278124,c_271546]) ).
tcf(c_278146,plain,
multiply(sk_c11,identity) = multiply(iPr_def_16,iPr_def_26),
inference(superposition,[status(thm)],[c_278124,c_272821]) ).
tcf(c_278154,plain,
multiply(sk_c11,identity) = multiply(iPr_def_24,iPr_def_22),
inference(superposition,[status(thm)],[c_278124,c_273012]) ).
tcf(c_278155,plain,
multiply(sk_c11,identity) = sk_c11,
inference(light_normalisation,[status(thm)],[c_278154,c_272996]) ).
tcf(c_278157,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_278145,c_626]) ).
tcf(c_278158,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_278144,c_273007]) ).
tcf(c_278159,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_278143,c_633]) ).
tcf(c_278160,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_278142,c_627]) ).
tcf(c_278162,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_278140,c_635]) ).
tcf(c_278163,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_278139,c_631]) ).
tcf(c_278164,plain,
multiply(sk_c10,identity) = sk_c10,
inference(light_normalisation,[status(thm)],[c_278138,c_272860]) ).
tcf(c_278165,plain,
multiply(iPr_def_28,identity) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_278137,c_640]) ).
tcf(c_278166,plain,
multiply(iPr_def_26,identity) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_278136,c_638]) ).
tcf(c_278167,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_278135,c_272373]) ).
tcf(c_278204,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_271701,c_278126]) ).
tcf(c_278206,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_678,c_278126]) ).
tcf(c_278207,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_668,c_278126]) ).
tcf(c_278208,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_658,c_278126]) ).
tcf(c_278209,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_648,c_278126]) ).
tcf(c_278210,plain,
multiply(inverse(sk_c8),iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_278126,c_277266]) ).
tcf(c_278212,plain,
multiply(sk_c7,iPr_def_15) = multiply(iPr_def_15,sk_c7),
inference(superposition,[status(thm)],[c_278126,c_271545]) ).
tcf(c_278213,plain,
multiply(sk_c5,iPr_def_15) = multiply(iPr_def_21,sk_c7),
inference(superposition,[status(thm)],[c_278126,c_271543]) ).
tcf(c_278214,plain,
multiply(sk_c7,iPr_def_15) = identity,
inference(light_normalisation,[status(thm)],[c_278212,c_271657]) ).
tcf(c_278239,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_271307,c_278127]) ).
tcf(c_278240,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_271088,c_278127]) ).
tcf(c_278241,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270970,c_278127]) ).
tcf(c_278242,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269956,c_278127]) ).
tcf(c_278243,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269955,c_278127]) ).
tcf(c_278244,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269921,c_278127]) ).
tcf(c_278245,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_685,c_278127]) ).
tcf(c_278246,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_682,c_278127]) ).
tcf(c_278247,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_680,c_278127]) ).
tcf(c_278248,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_655,c_278127]) ).
tcf(c_278249,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_652,c_278127]) ).
tcf(c_278250,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_650,c_278127]) ).
tcf(c_278251,plain,
multiply(inverse(sk_c11),iPr_def_24) = sk_c4,
inference(superposition,[status(thm)],[c_278127,c_277266]) ).
tcf(c_278253,plain,
multiply(sk_c3,iPr_def_24) = multiply(iPr_def_22,sk_c4),
inference(superposition,[status(thm)],[c_278127,c_272436]) ).
tcf(c_278254,plain,
multiply(sk_c2,iPr_def_24) = multiply(iPr_def_26,sk_c4),
inference(superposition,[status(thm)],[c_278127,c_271547]) ).
tcf(c_278255,plain,
multiply(sk_c1,iPr_def_24) = multiply(iPr_def_28,sk_c4),
inference(superposition,[status(thm)],[c_278127,c_271540]) ).
tcf(c_278256,plain,
multiply(sk_c3,iPr_def_24) = identity,
inference(light_normalisation,[status(thm)],[c_278253,c_270115]) ).
tcf(c_278281,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_272693,c_278256]) ).
tcf(c_278282,plain,
( ( identity = iPr_def_22 )
| ( sk_c11 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_272432,c_278256]) ).
tcf(c_278287,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_26,sk_c4) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_272703,c_278254]) ).
tcf(c_278288,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_26,sk_c4) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_270096,c_278254]) ).
tcf(c_278293,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_272702,c_278255]) ).
tcf(c_278294,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_28,sk_c4) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_270105,c_278255]) ).
tcf(c_278379,plain,
multiply(inverse(sk_c7),identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_278214,c_277266]) ).
tcf(c_278380,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_15,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_278214,c_105]) ).
tcf(c_278383,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_15,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_278380,c_103]) ).
tcf(c_278448,plain,
multiply(inverse(sk_c3),identity) = iPr_def_24,
inference(superposition,[status(thm)],[c_278256,c_277266]) ).
tcf(c_278449,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_278256,c_105]) ).
tcf(c_278450,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(superposition,[status(thm)],[c_278256,c_271566]) ).
tcf(c_278452,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_24,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_278449,c_103]) ).
tcf(c_278464,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_278206,c_277266]) ).
tcf(c_278465,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_278206,c_105]) ).
tcf(c_278475,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_278207,c_277266]) ).
tcf(c_278476,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_278207,c_105]) ).
tcf(c_278520,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_278208,c_277266]) ).
tcf(c_278521,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_278208,c_105]) ).
tcf(c_278531,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_278209,c_277266]) ).
tcf(c_278532,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_278209,c_105]) ).
tcf(c_278542,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278245,c_277266]) ).
tcf(c_278543,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_278245,c_105]) ).
tcf(c_278553,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278246,c_277266]) ).
tcf(c_278554,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_278246,c_105]) ).
tcf(c_278572,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278247,c_277266]) ).
tcf(c_278573,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_278247,c_105]) ).
tcf(c_278583,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278248,c_277266]) ).
tcf(c_278584,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_24,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_278248,c_105]) ).
tcf(c_278590,plain,
multiply(sk_c7,sk_c8) = iPr_def_15,
inference(superposition,[status(thm)],[c_273007,c_278383]) ).
tcf(c_278591,plain,
multiply(sk_c7,identity) = sk_c7,
inference(superposition,[status(thm)],[c_271657,c_278383]) ).
tcf(c_278594,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_278383,c_277266]) ).
tcf(c_278595,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_278383,c_105]) ).
tcf(c_278608,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272704,c_278452]) ).
tcf(c_278609,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_269954,c_278452]) ).
tcf(c_278610,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_270114,c_278452]) ).
tcf(c_278611,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_273178,c_278452]) ).
tcf(c_278615,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278248,c_278452]) ).
tcf(c_278616,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_278452,c_277266]) ).
tcf(c_278617,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_24,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_278452,c_105]) ).
tcf(c_278619,plain,
( ( sk_c4 = identity )
| ( sk_c11 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_278615,c_278256]) ).
tcf(c_278622,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_22,sk_c9) = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_278611,c_276680]) ).
tcf(c_278625,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_22,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_278609,c_276680]) ).
tcf(c_278628,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_278608,c_276680]) ).
tcf(c_278711,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_21),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278249,c_277266]) ).
tcf(c_278712,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_278249,c_105]) ).
tcf(c_278713,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,sk_c4) = multiply(iPr_def_17,iPr_def_24) ) ),
inference(superposition,[status(thm)],[c_278249,c_273230]) ).
tcf(c_278725,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_19),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278250,c_277266]) ).
tcf(c_278726,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_278250,c_105]) ).
tcf(c_278736,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_271185,c_13216]) ).
tcf(c_278756,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_278736,c_271544]) ).
tcf(c_278757,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_278736,c_271542]) ).
tcf(c_278761,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_278736,c_270842]) ).
tcf(c_278768,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_278736,c_270052]) ).
tcf(c_278770,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_278736,c_644]) ).
tcf(c_278771,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_278736,c_271434]) ).
tcf(c_278776,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_278736,c_675]) ).
tcf(c_278777,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_278736,c_672]) ).
tcf(c_278778,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_278736,c_670]) ).
tcf(c_278779,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_278736,c_635]) ).
tcf(c_278780,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_278736,c_631]) ).
tcf(c_278817,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(global_subsumption_just,[status(thm)],[c_271255,c_10154]) ).
tcf(c_278818,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(renaming,[status(thm)],[c_278817]) ).
tcf(c_278824,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_278779,c_277266]) ).
tcf(c_278826,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_278779,c_271565]) ).
tcf(c_278851,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_278780,c_277266]) ).
tcf(c_278853,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_278780,c_271545]) ).
tcf(c_278854,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_278780,c_271543]) ).
tcf(c_278856,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_278854,c_275619]) ).
tcf(c_278859,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(light_normalisation,[status(thm)],[c_278853,c_275813]) ).
tcf(c_278893,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271257,c_626]) ).
tcf(c_278895,plain,
multiply(sk_c6,sk_c8) = iPr_def_21,
inference(demodulation,[status(thm)],[c_277427,c_277401]) ).
tcf(c_278900,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_271655,c_278895]) ).
tcf(c_278902,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_677,c_278895]) ).
tcf(c_278903,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_667,c_278895]) ).
tcf(c_278904,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_657,c_278895]) ).
tcf(c_278905,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_647,c_278895]) ).
tcf(c_278910,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_271701,c_278895]) ).
tcf(c_278912,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_678,c_278895]) ).
tcf(c_278913,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_668,c_278895]) ).
tcf(c_278914,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_658,c_278895]) ).
tcf(c_278915,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c6,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_648,c_278895]) ).
tcf(c_278916,plain,
multiply(inverse(sk_c6),iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_278895,c_277266]) ).
tcf(c_278917,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_278895,c_105]) ).
tcf(c_278961,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_678,c_278902]) ).
tcf(c_278964,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_648,c_278902]) ).
tcf(c_278965,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278902,c_277266]) ).
tcf(c_278966,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278902,c_105]) ).
tcf(c_278967,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278902,c_278383]) ).
tcf(c_278968,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_278902,c_273010]) ).
tcf(c_279055,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_668,c_278903]) ).
tcf(c_279057,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_648,c_278903]) ).
tcf(c_279058,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278903,c_277266]) ).
tcf(c_279059,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278903,c_105]) ).
tcf(c_279060,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278903,c_278383]) ).
tcf(c_279061,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_278903,c_273010]) ).
tcf(c_279110,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_271701,c_278904]) ).
tcf(c_279114,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_658,c_278904]) ).
tcf(c_279115,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_648,c_278904]) ).
tcf(c_279116,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278904,c_277266]) ).
tcf(c_279117,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278904,c_105]) ).
tcf(c_279118,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278904,c_278383]) ).
tcf(c_279119,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_278904,c_273010]) ).
tcf(c_279168,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_648,c_278905]) ).
tcf(c_279169,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278905,c_277266]) ).
tcf(c_279170,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278905,c_105]) ).
tcf(c_279171,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278905,c_278383]) ).
tcf(c_279172,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,sk_c8) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_278905,c_273010]) ).
tcf(c_279199,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c6),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278912,c_277266]) ).
tcf(c_279200,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278912,c_105]) ).
tcf(c_279222,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c6),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278913,c_277266]) ).
tcf(c_279223,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278913,c_105]) ).
tcf(c_279252,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c6),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278914,c_277266]) ).
tcf(c_279253,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c6,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278914,c_105]) ).
tcf(c_279290,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c6),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278915,c_277266]) ).
tcf(c_279291,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c6,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278915,c_105]) ).
tcf(c_279311,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_271655,c_278917]) ).
tcf(c_279317,plain,
multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,sk_c10),
inference(superposition,[status(thm)],[c_631,c_278917]) ).
tcf(c_279318,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_278780,c_278917]) ).
tcf(c_279319,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270651,c_278917]) ).
tcf(c_279320,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270295,c_278917]) ).
tcf(c_279321,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270056,c_278917]) ).
tcf(c_279322,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270377,c_278917]) ).
tcf(c_279323,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270267,c_278917]) ).
tcf(c_279324,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_270226,c_278917]) ).
tcf(c_279325,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271312,c_278917]) ).
tcf(c_279326,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271190,c_278917]) ).
tcf(c_279327,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271091,c_278917]) ).
tcf(c_279328,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270972,c_278917]) ).
tcf(c_279329,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_21,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_271544,c_278917]) ).
tcf(c_279330,plain,
multiply(sk_c6,sk_c8) = multiply(iPr_def_21,identity),
inference(superposition,[status(thm)],[c_278124,c_278917]) ).
tcf(c_279331,plain,
multiply(sk_c6,multiply(iPr_def_15,sk_c8)) = multiply(iPr_def_21,iPr_def_15),
inference(superposition,[status(thm)],[c_276943,c_278917]) ).
tcf(c_279332,plain,
multiply(sk_c6,iPr_def_15) = multiply(iPr_def_21,sk_c7),
inference(superposition,[status(thm)],[c_278126,c_278917]) ).
tcf(c_279337,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_271701,c_278917]) ).
tcf(c_279343,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_278917,c_277266]) ).
tcf(c_279344,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_21,X0),X1),
inference(superposition,[status(thm)],[c_278917,c_105]) ).
tcf(c_279485,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_271655,c_279317]) ).
tcf(c_279487,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_677,c_279317]) ).
tcf(c_279488,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_667,c_279317]) ).
tcf(c_279489,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_657,c_279317]) ).
tcf(c_279490,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_647,c_279317]) ).
tcf(c_279491,plain,
multiply(inverse(sk_c6),multiply(iPr_def_21,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_279317,c_277266]) ).
tcf(c_279492,plain,
! [X0: $i] : multiply(multiply(iPr_def_21,sk_c10),X0) = multiply(sk_c6,multiply(iPr_def_19,X0)),
inference(superposition,[status(thm)],[c_279317,c_105]) ).
tcf(c_279495,plain,
! [X0: $i] : multiply(multiply(iPr_def_21,sk_c10),X0) = multiply(iPr_def_21,multiply(sk_c10,X0)),
inference(light_normalisation,[status(thm)],[c_279492,c_275682,c_279329]) ).
tcf(c_279537,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278961,c_277266]) ).
tcf(c_279538,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_278961,c_105]) ).
tcf(c_279539,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278961,c_278383]) ).
tcf(c_279540,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_278961,c_273010]) ).
tcf(c_279588,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279055,c_277266]) ).
tcf(c_279589,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_279055,c_105]) ).
tcf(c_279590,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279055,c_278383]) ).
tcf(c_279591,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_279055,c_273010]) ).
tcf(c_279653,plain,
sk_c5 = sk_c6,
inference(demodulation,[status(thm)],[c_277429,c_277401,c_278124]) ).
tcf(c_279663,plain,
inverse(sk_c6) = iPr_def_17,
inference(demodulation,[status(thm)],[c_271706,c_279653]) ).
tcf(c_279707,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_271701,c_278210]) ).
tcf(c_279713,plain,
multiply(inverse(inverse(sk_c8)),sk_c7) = iPr_def_15,
inference(superposition,[status(thm)],[c_278210,c_277266]) ).
tcf(c_279714,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_278210,c_105]) ).
tcf(c_279722,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279114,c_277266]) ).
tcf(c_279723,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_279114,c_105]) ).
tcf(c_279724,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279114,c_278383]) ).
tcf(c_279725,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_279114,c_273010]) ).
tcf(c_279739,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_15),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279168,c_277266]) ).
tcf(c_279740,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_279168,c_105]) ).
tcf(c_279741,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279168,c_278383]) ).
tcf(c_279742,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_279168,c_273010]) ).
tcf(c_279756,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_271701,c_279714]) ).
tcf(c_279758,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_678,c_279714]) ).
tcf(c_279759,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_668,c_279714]) ).
tcf(c_279760,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_658,c_279714]) ).
tcf(c_279761,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_648,c_279714]) ).
tcf(c_279762,plain,
multiply(inverse(sk_c8),sk_c8) = multiply(sk_c7,iPr_def_15),
inference(superposition,[status(thm)],[c_273007,c_279714]) ).
tcf(c_279763,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c7,X0)) = multiply(inverse(sk_c8),X0),
inference(superposition,[status(thm)],[c_271682,c_279714]) ).
tcf(c_279764,plain,
multiply(inverse(sk_c8),identity) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm)],[c_271657,c_279714]) ).
tcf(c_279765,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = multiply(sk_c7,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_273010,c_279714]) ).
tcf(c_279766,plain,
multiply(inverse(sk_c8),iPr_def_15) = multiply(sk_c7,identity),
inference(superposition,[status(thm)],[c_278124,c_279714]) ).
tcf(c_279767,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_279168,c_279714]) ).
tcf(c_279768,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_279114,c_279714]) ).
tcf(c_279769,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_279055,c_279714]) ).
tcf(c_279770,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,iPr_def_17) ) ),
inference(superposition,[status(thm)],[c_278961,c_279714]) ).
tcf(c_279771,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_278905,c_279714]) ).
tcf(c_279772,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_278904,c_279714]) ).
tcf(c_279773,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_278903,c_279714]) ).
tcf(c_279774,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_21) = multiply(sk_c7,sk_c8) ) ),
inference(superposition,[status(thm)],[c_278902,c_279714]) ).
tcf(c_279775,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c8)),multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_279714,c_277266]) ).
tcf(c_279776,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c8),multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_279714,c_105]) ).
tcf(c_279778,plain,
multiply(inverse(sk_c8),sk_c8) = identity,
inference(light_normalisation,[status(thm)],[c_279762,c_278214]) ).
tcf(c_279779,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_279774,c_278590]) ).
tcf(c_279782,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_279773,c_278590]) ).
tcf(c_279785,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_279772,c_278590]) ).
tcf(c_279788,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c8),iPr_def_21) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_279771,c_278590]) ).
tcf(c_279799,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(sk_c8,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_279765,c_278383]) ).
tcf(c_280073,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_271307,c_278251]) ).
tcf(c_280074,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_271088,c_278251]) ).
tcf(c_280075,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_270970,c_278251]) ).
tcf(c_280076,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_269956,c_278251]) ).
tcf(c_280077,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_269955,c_278251]) ).
tcf(c_280078,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),iPr_def_24) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_269921,c_278251]) ).
tcf(c_280085,plain,
multiply(inverse(inverse(sk_c11)),sk_c4) = iPr_def_24,
inference(superposition,[status(thm)],[c_278251,c_277266]) ).
tcf(c_280086,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_278251,c_105]) ).
tcf(c_280148,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_271375,c_13842]) ).
tcf(c_280161,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_271444,c_157,c_158,c_702,c_703,c_639,c_641,c_676,c_1317,c_1328,c_1571,c_1679,c_1923,c_1935,c_3458,c_3630,c_3626,c_3825,c_4042,c_4043,c_4044,c_6469,c_8981,c_9129,c_9237,c_9901,c_10154,c_13876,c_15582,c_15641,c_15670,c_23635,c_26866,c_32705,c_32844,c_51184,c_63842,c_66485,c_75138,c_81866,c_91724,c_91726,c_91738,c_91903,c_92369,c_140509,c_140510,c_182825,c_270314,c_270364,c_272372]) ).
tcf(c_280163,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_280161,c_272367]) ).
tcf(c_280177,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,identity) = multiply(iPr_def_27,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_278124,c_271558]) ).
tcf(c_280178,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_14,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_271558,c_277266]) ).
tcf(c_280179,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_271558,c_105]) ).
tcf(c_280199,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_271307,c_280086]) ).
tcf(c_280200,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_271088,c_280086]) ).
tcf(c_280201,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_270970,c_280086]) ).
tcf(c_280202,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_269956,c_280086]) ).
tcf(c_280203,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_269955,c_280086]) ).
tcf(c_280204,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_269921,c_280086]) ).
tcf(c_280205,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_685,c_280086]) ).
tcf(c_280206,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_682,c_280086]) ).
tcf(c_280207,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_680,c_280086]) ).
tcf(c_280208,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_655,c_280086]) ).
tcf(c_280209,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_652,c_280086]) ).
tcf(c_280210,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_650,c_280086]) ).
tcf(c_280211,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_14) = multiply(sk_c4,sk_c9) ) ),
inference(superposition,[status(thm)],[c_272704,c_280086]) ).
tcf(c_280212,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c11),iPr_def_14) = multiply(sk_c4,sk_c9) ) ),
inference(superposition,[status(thm)],[c_269954,c_280086]) ).
tcf(c_280213,plain,
multiply(inverse(sk_c11),identity) = multiply(sk_c4,sk_c3),
inference(superposition,[status(thm)],[c_270114,c_280086]) ).
tcf(c_280214,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c3,X0)) = multiply(inverse(sk_c11),X0),
inference(superposition,[status(thm)],[c_271566,c_280086]) ).
tcf(c_280215,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c11),iPr_def_14) = multiply(sk_c4,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_273178,c_280086]) ).
tcf(c_280216,plain,
multiply(inverse(sk_c11),iPr_def_24) = multiply(sk_c4,identity),
inference(superposition,[status(thm)],[c_278124,c_280086]) ).
tcf(c_280217,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(sk_c11,X0)) = multiply(sk_c4,multiply(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_273012,c_280086]) ).
tcf(c_280218,plain,
multiply(inverse(sk_c11),sk_c11) = multiply(sk_c4,iPr_def_22),
inference(superposition,[status(thm)],[c_272996,c_280086]) ).
tcf(c_280219,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(sk_c11),iPr_def_24) = multiply(sk_c4,sk_c4) ) ),
inference(superposition,[status(thm)],[c_278248,c_280086]) ).
tcf(c_280220,plain,
! [X0: $i] : multiply(inverse(inverse(sk_c11)),multiply(sk_c4,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_280086,c_277266]) ).
tcf(c_280221,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c11),multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_280086,c_105]) ).
tcf(c_280222,plain,
multiply(sk_c4,identity) = sk_c4,
inference(light_normalisation,[status(thm)],[c_280216,c_278251]) ).
tcf(c_280223,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,sk_c4) = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_280219,c_278251]) ).
tcf(c_280226,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_23) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_280215,c_277286]) ).
tcf(c_280229,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_280212,c_277286]) ).
tcf(c_280232,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_280211,c_277286]) ).
tcf(c_280408,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_271449,c_22729]) ).
tcf(c_280410,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_280408,c_272367]) ).
tcf(c_280434,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_272087,c_15888]) ).
tcf(c_280440,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_280434,c_271558]) ).
tcf(c_280441,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_280434,c_278247]) ).
tcf(c_280442,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_280434,c_278246]) ).
tcf(c_280443,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_280434,c_278245]) ).
tcf(c_280444,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_280434,c_272824]) ).
tcf(c_280447,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_280434,c_272431]) ).
tcf(c_280448,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_280434,c_272430]) ).
tcf(c_280449,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_280434,c_272429]) ).
tcf(c_280450,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_280434,c_270736]) ).
tcf(c_280451,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280434,c_270733]) ).
tcf(c_280452,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_280434,c_270732]) ).
tcf(c_280453,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_280434,c_270598]) ).
tcf(c_280454,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280434,c_270595]) ).
tcf(c_280455,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_280434,c_270594]) ).
tcf(c_280456,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_280434,c_270513]) ).
tcf(c_280457,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280434,c_270510]) ).
tcf(c_280458,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_280434,c_270509]) ).
tcf(c_280459,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_280434,c_272822]) ).
tcf(c_280460,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_280434,c_271561]) ).
tcf(c_280462,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_280434,c_270119]) ).
tcf(c_280516,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_280440,c_272821]) ).
tcf(c_280627,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_278736,c_271750]) ).
tcf(c_280638,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_695,c_271750]) ).
tcf(c_280639,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_693,c_271750]) ).
tcf(c_280640,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_692,c_271750]) ).
tcf(c_280641,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_690,c_271750]) ).
tcf(c_280642,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_683,c_271750]) ).
tcf(c_280643,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_675,c_271750]) ).
tcf(c_280644,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_673,c_271750]) ).
tcf(c_280645,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_672,c_271750]) ).
tcf(c_280646,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_670,c_271750]) ).
tcf(c_280647,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_653,c_271750]) ).
tcf(c_280824,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_280642,c_17285]) ).
tcf(c_280830,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_280644,c_17316]) ).
tcf(c_280836,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_280647,c_17353]) ).
tcf(c_280842,plain,
multiply(inverse(sk_c2),multiply(iPr_def_26,sk_c4)) = iPr_def_24,
inference(superposition,[status(thm)],[c_278254,c_277266]) ).
tcf(c_280843,plain,
! [X0: $i] : multiply(multiply(iPr_def_26,sk_c4),X0) = multiply(sk_c2,multiply(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_278254,c_105]) ).
tcf(c_280844,plain,
multiply(iPr_def_16,multiply(iPr_def_26,sk_c4)) = iPr_def_24,
inference(superposition,[status(thm)],[c_278254,c_271560]) ).
tcf(c_280882,plain,
multiply(inverse(sk_c1),multiply(iPr_def_28,sk_c4)) = iPr_def_24,
inference(superposition,[status(thm)],[c_278255,c_277266]) ).
tcf(c_280883,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c4),X0) = multiply(sk_c1,multiply(iPr_def_24,X0)),
inference(superposition,[status(thm)],[c_278255,c_105]) ).
tcf(c_280884,plain,
multiply(iPr_def_27,multiply(iPr_def_28,sk_c4)) = iPr_def_24,
inference(superposition,[status(thm)],[c_278255,c_271561]) ).
tcf(c_280891,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_278281,c_278124]) ).
tcf(c_280892,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_278281,c_103]) ).
tcf(c_280893,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_278281,c_63435]) ).
tcf(c_280906,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_278282,c_278124]) ).
tcf(c_280907,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_278282,c_103]) ).
tcf(c_280908,plain,
( ( sk_c11 = iPr_def_16 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_278282,c_63435]) ).
tcf(c_280980,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_272180,c_16216]) ).
tcf(c_280986,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_280980,c_271558]) ).
tcf(c_280987,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_280980,c_278247]) ).
tcf(c_280988,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_280980,c_278246]) ).
tcf(c_280989,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_280980,c_278245]) ).
tcf(c_280990,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_280980,c_272824]) ).
tcf(c_280993,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_280980,c_272431]) ).
tcf(c_280994,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_280980,c_272430]) ).
tcf(c_280995,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_280980,c_272429]) ).
tcf(c_280996,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_280980,c_270736]) ).
tcf(c_280997,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280980,c_270733]) ).
tcf(c_280998,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_280980,c_270732]) ).
tcf(c_280999,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_280980,c_270598]) ).
tcf(c_281000,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280980,c_270595]) ).
tcf(c_281001,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_280980,c_270594]) ).
tcf(c_281002,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_280980,c_270513]) ).
tcf(c_281003,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280980,c_270510]) ).
tcf(c_281004,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_280980,c_270509]) ).
tcf(c_281005,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_280980,c_272822]) ).
tcf(c_281006,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_280980,c_271561]) ).
tcf(c_281008,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_280980,c_270119]) ).
tcf(c_281062,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_280986,c_272821]) ).
tcf(c_281249,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_27 ) ),
inference(global_subsumption_just,[status(thm)],[c_272278,c_16973]) ).
tcf(c_281255,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_281249,c_271558]) ).
tcf(c_281256,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_281249,c_278247]) ).
tcf(c_281257,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_281249,c_278246]) ).
tcf(c_281258,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_281249,c_278245]) ).
tcf(c_281259,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_281249,c_272824]) ).
tcf(c_281262,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281249,c_272431]) ).
tcf(c_281263,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281249,c_272430]) ).
tcf(c_281264,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281249,c_272429]) ).
tcf(c_281265,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_281249,c_270736]) ).
tcf(c_281266,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_281249,c_270733]) ).
tcf(c_281267,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_281249,c_270732]) ).
tcf(c_281268,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_281249,c_270598]) ).
tcf(c_281269,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_281249,c_270595]) ).
tcf(c_281270,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_281249,c_270594]) ).
tcf(c_281271,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_281249,c_270513]) ).
tcf(c_281272,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_281249,c_270510]) ).
tcf(c_281273,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_16) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_281249,c_270509]) ).
tcf(c_281274,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_281249,c_272822]) ).
tcf(c_281275,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_281249,c_271561]) ).
tcf(c_281277,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_281249,c_270119]) ).
tcf(c_281331,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_281255,c_272821]) ).
tcf(c_281470,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_280892,c_645]) ).
tcf(c_281471,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_280892,c_277266]) ).
tcf(c_281472,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_280892,c_105]) ).
tcf(c_281473,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_280892,c_644]) ).
tcf(c_281474,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_280892,c_642]) ).
tcf(c_281475,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c4 = identity ) ),
inference(superposition,[status(thm)],[c_280892,c_270115]) ).
tcf(c_281476,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_280892,c_271565]) ).
tcf(c_281477,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_280892,c_272860]) ).
tcf(c_281478,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_280892,c_272995]) ).
tcf(c_281479,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_280892,c_273012]) ).
tcf(c_281783,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_22) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_280907,c_645]) ).
tcf(c_281784,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_22),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_280907,c_277266]) ).
tcf(c_281785,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_22,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_280907,c_105]) ).
tcf(c_281787,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ~ 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_280907,c_642]) ).
tcf(c_281789,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_280907,c_271565]) ).
tcf(c_281790,plain,
( ( sk_c10 = iPr_def_23 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_280907,c_272860]) ).
tcf(c_281791,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_280907,c_272995]) ).
tcf(c_281792,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_280907,c_273012]) ).
tcf(c_281847,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_24 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271307,c_271867]) ).
tcf(c_281848,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_21 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271088,c_271867]) ).
tcf(c_281849,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_19 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270970,c_271867]) ).
tcf(c_281850,plain,
( ( iPr_def_19 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269956,c_271867]) ).
tcf(c_281851,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269955,c_271867]) ).
tcf(c_281852,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269921,c_271867]) ).
tcf(c_281853,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_27 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_685,c_271867]) ).
tcf(c_281854,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_27 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_682,c_271867]) ).
tcf(c_281855,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_27 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_680,c_271867]) ).
tcf(c_281856,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_24 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_655,c_271867]) ).
tcf(c_281857,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_21 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_652,c_271867]) ).
tcf(c_281858,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_19 )
| ( sk_c9 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_271867]) ).
tcf(c_281920,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_271871,c_127822]) ).
tcf(c_281922,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_281920,c_272367]) ).
tcf(c_281934,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_281922]) ).
tcf(c_281935,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_281922]) ).
tcf(c_281936,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_281922]) ).
tcf(c_281937,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_665,c_281922]) ).
tcf(c_281938,plain,
( ( sk_c9 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_664,c_281922]) ).
tcf(c_281939,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_663,c_281922]) ).
tcf(c_281940,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_662,c_281922]) ).
tcf(c_281941,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_660,c_281922]) ).
tcf(c_281942,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_654,c_281922]) ).
tcf(c_282047,plain,
( ( sk_c4 = iPr_def_22 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_278619,c_278282]) ).
tcf(c_282049,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(X0,sk_c4) = X0 ) ),
inference(superposition,[status(thm)],[c_278619,c_278124]) ).
tcf(c_282051,plain,
( ( sk_c11 = iPr_def_16 )
| ( inverse(sk_c4) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_278619,c_63435]) ).
tcf(c_282062,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_21,sk_c7) ) ),
inference(superposition,[status(thm)],[c_271655,c_279332]) ).
tcf(c_282064,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_21,sk_c7) ) ),
inference(superposition,[status(thm)],[c_677,c_279332]) ).
tcf(c_282065,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_21,sk_c7) ) ),
inference(superposition,[status(thm)],[c_667,c_279332]) ).
tcf(c_282066,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_21,sk_c7) ) ),
inference(superposition,[status(thm)],[c_657,c_279332]) ).
tcf(c_282067,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_21,sk_c7) ) ),
inference(superposition,[status(thm)],[c_647,c_279332]) ).
tcf(c_282068,plain,
multiply(inverse(sk_c6),multiply(iPr_def_21,sk_c7)) = iPr_def_15,
inference(superposition,[status(thm)],[c_279332,c_277266]) ).
tcf(c_282069,plain,
! [X0: $i] : multiply(multiply(iPr_def_21,sk_c7),X0) = multiply(sk_c6,multiply(iPr_def_15,X0)),
inference(superposition,[status(thm)],[c_279332,c_105]) ).
tcf(c_282070,plain,
multiply(iPr_def_17,multiply(iPr_def_21,sk_c7)) = iPr_def_15,
inference(superposition,[status(thm)],[c_279332,c_271562]) ).
tcf(c_282072,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_282067,c_273007]) ).
tcf(c_282075,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_282066,c_273007]) ).
tcf(c_282078,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_282065,c_273007]) ).
tcf(c_282081,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_282064,c_273007]) ).
tcf(c_282084,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c7) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_282062,c_273007]) ).
tcf(c_282113,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_281937,c_127408]) ).
tcf(c_282125,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_281939,c_3458,c_6469,c_272372]) ).
tcf(c_282163,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(inverse(iPr_def_21),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_282072,c_277266]) ).
tcf(c_282164,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_282072,c_105]) ).
tcf(c_282165,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_17,sk_c8) ) ),
inference(superposition,[status(thm)],[c_282072,c_273230]) ).
tcf(c_282168,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_282165,c_278126]) ).
tcf(c_282225,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_282075,c_277266]) ).
tcf(c_282226,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_282075,c_105]) ).
tcf(c_282227,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_17,sk_c8) ) ),
inference(superposition,[status(thm)],[c_282075,c_273230]) ).
tcf(c_282230,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_282227,c_278126]) ).
tcf(c_282327,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_282078,c_277266]) ).
tcf(c_282328,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_282078,c_105]) ).
tcf(c_282329,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_17,sk_c8) ) ),
inference(superposition,[status(thm)],[c_282078,c_273230]) ).
tcf(c_282332,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_282329,c_278126]) ).
tcf(c_282342,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),sk_c8) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_282081,c_277266]) ).
tcf(c_282343,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_282081,c_105]) ).
tcf(c_282344,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,sk_c7) = multiply(iPr_def_17,sk_c8) ) ),
inference(superposition,[status(thm)],[c_282081,c_273230]) ).
tcf(c_282347,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_282344,c_278126]) ).
tcf(c_282360,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c4 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281475,c_278281]) ).
tcf(c_282361,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(X0,sk_c4) = X0 ) ),
inference(superposition,[status(thm)],[c_281475,c_278124]) ).
tcf(c_282363,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(sk_c4) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_281475,c_63435]) ).
tcf(c_282407,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_23 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281477,c_271750]) ).
tcf(c_282408,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_281477,c_278736]) ).
tcf(c_282409,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_281477,c_271544]) ).
tcf(c_282410,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_281477,c_271542]) ).
tcf(c_282414,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281477,c_270842]) ).
tcf(c_282417,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281477,c_270471]) ).
tcf(c_282419,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281477,c_270191]) ).
tcf(c_282420,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281477,c_270054]) ).
tcf(c_282421,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281477,c_270052]) ).
tcf(c_282426,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_281477,c_644]) ).
tcf(c_282427,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281477,c_271434]) ).
tcf(c_282433,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_281477,c_675]) ).
tcf(c_282435,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_281477,c_672]) ).
tcf(c_282436,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281477,c_670]) ).
tcf(c_282437,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281477,c_635]) ).
tcf(c_282438,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281477,c_631]) ).
tcf(c_282559,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_272385,c_278124]) ).
tcf(c_282566,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),iPr_def_16),X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_282559,c_105]) ).
tcf(c_282574,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_282437,c_277266]) ).
tcf(c_282576,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_282437,c_271565]) ).
tcf(c_282593,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_282438,c_277266]) ).
tcf(c_282595,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_19) = multiply(iPr_def_21,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_282438,c_278917]) ).
tcf(c_282596,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_282438,c_271545]) ).
tcf(c_282598,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_282596,c_275813]) ).
tcf(c_282601,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_282595,c_279317]) ).
tcf(c_282616,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_24 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271307,c_271875]) ).
tcf(c_282617,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_21 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_271088,c_271875]) ).
tcf(c_282618,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_19 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270970,c_271875]) ).
tcf(c_282619,plain,
( ( iPr_def_19 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269956,c_271875]) ).
tcf(c_282620,plain,
( ( iPr_def_21 = iPr_def_24 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269955,c_271875]) ).
tcf(c_282621,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269921,c_271875]) ).
tcf(c_282623,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_682,c_271875]) ).
tcf(c_282624,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_680,c_271875]) ).
tcf(c_282625,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_24 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_655,c_271875]) ).
tcf(c_282626,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_21 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_652,c_271875]) ).
tcf(c_282627,plain,
( ( sk_c11 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_19 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_650,c_271875]) ).
tcf(c_282726,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_26 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_662,c_282623]) ).
tcf(c_282727,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_26 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_660,c_282623]) ).
tcf(c_282805,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,multiply(iPr_def_23,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_281790,c_271544]) ).
tcf(c_282806,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_281790,c_271542]) ).
tcf(c_282816,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281790,c_270054]) ).
tcf(c_282823,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_16 )
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281790,c_271434]) ).
tcf(c_282828,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_281790,c_683]) ).
tcf(c_282830,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_281790,c_673]) ).
tcf(c_282833,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281790,c_635]) ).
tcf(c_282834,plain,
( ( sk_c11 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281790,c_631]) ).
tcf(c_282835,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c11 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_281790,c_653]) ).
tcf(c_283004,plain,
sk_c11 = iPr_def_16,
inference(global_subsumption_just,[status(thm)],[c_282047,c_157,c_703,c_6457,c_6493,c_15641,c_17353,c_18397,c_20303,c_21160,c_91724,c_91903,c_92369,c_93960,c_114815,c_114818,c_119050,c_120665,c_127028,c_140527,c_140528,c_270314,c_270398,c_270927,c_270928,c_276205,c_276503,c_281942,c_282835,c_282823]) ).
tcf(c_283006,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c9 != iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_282623,c_283004]) ).
tcf(c_283007,plain,
( ~ iPr_def_11
| ( iPr_def_16 != iPr_def_27 )
| ( sk_c9 != iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_271875,c_283004]) ).
tcf(c_283009,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c7) = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_282081,c_283004]) ).
tcf(c_283011,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_281941,c_283004]) ).
tcf(c_283012,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_281940,c_283004]) ).
tcf(c_283013,plain,
( ( iPr_def_16 = iPr_def_24 )
| ~ iPr_def_11 ),
inference(demodulation,[status(thm)],[c_282113,c_283004]) ).
tcf(c_283014,plain,
( ( iPr_def_16 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_22 != iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_281935,c_283004]) ).
tcf(c_283015,plain,
( ~ iPr_def_11
| ( iPr_def_16 != iPr_def_16 )
| ( sk_c9 != iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_271867,c_283004]) ).
tcf(c_283018,plain,
( ( iPr_def_16 = iPr_def_27 )
| ~ iPr_def_12 ),
inference(demodulation,[status(thm)],[c_280824,c_283004]) ).
tcf(c_283019,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0),
inference(demodulation,[status(thm)],[c_280086,c_283004]) ).
tcf(c_283020,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0) ) ),
inference(demodulation,[status(thm)],[c_271558,c_283004]) ).
tcf(c_283021,plain,
multiply(inverse(iPr_def_16),iPr_def_24) = sk_c4,
inference(demodulation,[status(thm)],[c_278251,c_283004]) ).
tcf(c_283023,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_17) = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_278961,c_283004]) ).
tcf(c_283025,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_17) = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_278912,c_283004]) ).
tcf(c_283027,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,sk_c8) = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_278902,c_283004]) ).
tcf(c_283031,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c4) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_278247,c_283004]) ).
tcf(c_283032,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c4) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_278246,c_283004]) ).
tcf(c_283033,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c4) = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_278245,c_283004]) ).
tcf(c_283035,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_17,sk_c7) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_278206,c_283004]) ).
tcf(c_283036,plain,
multiply(iPr_def_16,sk_c4) = iPr_def_24,
inference(demodulation,[status(thm)],[c_278127,c_283004]) ).
tcf(c_283037,plain,
multiply(inverse(iPr_def_16),iPr_def_14) = sk_c9,
inference(demodulation,[status(thm)],[c_277286,c_283004]) ).
tcf(c_283038,plain,
multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,sk_c10),
inference(demodulation,[status(thm)],[c_276954,c_283004]) ).
tcf(c_283039,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_22,X0)) = multiply(iPr_def_16,X0),
inference(demodulation,[status(thm)],[c_273012,c_283004]) ).
tcf(c_283040,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(iPr_def_16,X0),
inference(demodulation,[status(thm)],[c_272824,c_283004]) ).
tcf(c_283041,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_16,X0),
inference(demodulation,[status(thm)],[c_272821,c_283004]) ).
tcf(c_283043,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_16,X0)) = multiply(iPr_def_22,X0),
inference(demodulation,[status(thm)],[c_272436,c_283004]) ).
tcf(c_283044,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0),
inference(demodulation,[status(thm)],[c_271547,c_283004]) ).
tcf(c_283045,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0),
inference(demodulation,[status(thm)],[c_271546,c_283004]) ).
tcf(c_283046,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_274368,c_283004]) ).
tcf(c_283047,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_273995,c_283004]) ).
tcf(c_283049,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_273400,c_283004]) ).
tcf(c_283053,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_28,X0),
inference(demodulation,[status(thm)],[c_271540,c_283004]) ).
tcf(c_283056,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_272431,c_283004]) ).
tcf(c_283057,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_272430,c_283004]) ).
tcf(c_283058,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_272429,c_283004]) ).
tcf(c_283059,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_271312,c_283004]) ).
tcf(c_283063,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_271311,c_283004]) ).
tcf(c_283064,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_271091,c_283004]) ).
tcf(c_283065,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_271090,c_283004]) ).
tcf(c_283066,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_270972,c_283004]) ).
tcf(c_283067,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_270971,c_283004]) ).
tcf(c_283069,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(demodulation,[status(thm)],[c_270863,c_283004]) ).
tcf(c_283070,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270736,c_283004]) ).
tcf(c_283071,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_270733,c_283004]) ).
tcf(c_283073,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_270732,c_283004]) ).
tcf(c_283075,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_270651,c_283004]) ).
tcf(c_283076,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_270650,c_283004]) ).
tcf(c_283077,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270598,c_283004]) ).
tcf(c_283078,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_270595,c_283004]) ).
tcf(c_283079,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_270594,c_283004]) ).
tcf(c_283080,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270513,c_283004]) ).
tcf(c_283081,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_27) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_270510,c_283004]) ).
tcf(c_283085,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_270509,c_283004]) ).
tcf(c_283086,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_270472,c_283004]) ).
tcf(c_283087,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_270471,c_283004]) ).
tcf(c_283088,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_270377,c_283004]) ).
tcf(c_283089,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_270376,c_283004]) ).
tcf(c_283090,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_270267,c_283004]) ).
tcf(c_283091,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_270266,c_283004]) ).
tcf(c_283093,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_270226,c_283004]) ).
tcf(c_283094,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_270225,c_283004]) ).
tcf(c_283095,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270151,c_283004]) ).
tcf(c_283096,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270139,c_283004]) ).
tcf(c_283097,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270127,c_283004]) ).
tcf(c_283106,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270032,c_283004]) ).
tcf(c_283107,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270010,c_283004]) ).
tcf(c_283109,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_270448,c_283004]) ).
tcf(c_283112,plain,
multiply(iPr_def_24,iPr_def_22) = iPr_def_16,
inference(demodulation,[status(thm)],[c_272996,c_283004]) ).
tcf(c_283116,plain,
multiply(iPr_def_27,iPr_def_28) = iPr_def_16,
inference(demodulation,[status(thm)],[c_272822,c_283004]) ).
tcf(c_283117,plain,
multiply(iPr_def_16,iPr_def_26) = iPr_def_16,
inference(demodulation,[status(thm)],[c_272819,c_283004]) ).
tcf(c_283119,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_271307,c_283004]) ).
tcf(c_283120,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_271088,c_283004]) ).
tcf(c_283121,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_270970,c_283004]) ).
tcf(c_283122,plain,
multiply(sk_c3,iPr_def_16) = iPr_def_22,
inference(demodulation,[status(thm)],[c_272373,c_283004]) ).
tcf(c_283123,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(X1) )
| ( multiply(inverse(X1),sk_c10) != iPr_def_16 )
| ( multiply(X1,inverse(X1)) != iPr_def_16 )
| ( multiply(X0,inverse(X1)) != inverse(X0) ) ),
inference(demodulation,[status(thm)],[c_642,c_283004]) ).
tcf(c_283124,plain,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != iPr_def_16 )
| ( multiply(X0,iPr_def_16) != sk_c9 ) ),
inference(demodulation,[status(thm)],[c_645,c_283004]) ).
tcf(c_283125,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_271455,c_283004]) ).
tcf(c_283126,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_271454,c_283004]) ).
tcf(c_283127,plain,
( iPr_def_13
| iPr_def_12
| ( iPr_def_16 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_271629,c_283004]) ).
tcf(c_283128,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_26) = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_29445,c_283004]) ).
tcf(c_283129,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_695,c_283004]) ).
tcf(c_283130,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_692,c_283004]) ).
tcf(c_283131,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_690,c_283004]) ).
tcf(c_283132,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_685,c_283004]) ).
tcf(c_283133,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c9 = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_684,c_283004]) ).
tcf(c_283134,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_683,c_283004]) ).
tcf(c_283135,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_682,c_283004]) ).
tcf(c_283136,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_680,c_283004]) ).
tcf(c_283137,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c8 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_678,c_283004]) ).
tcf(c_283138,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c6 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_677,c_283004]) ).
tcf(c_283139,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_675,c_283004]) ).
tcf(c_283140,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_672,c_283004]) ).
tcf(c_283141,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_670,c_283004]) ).
tcf(c_283142,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_665,c_283004]) ).
tcf(c_283143,plain,
multiply(sk_c1,iPr_def_16) = iPr_def_28,
inference(demodulation,[status(thm)],[c_640,c_283004]) ).
tcf(c_283144,plain,
multiply(sk_c2,iPr_def_16) = iPr_def_26,
inference(demodulation,[status(thm)],[c_638,c_283004]) ).
tcf(c_283145,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_662,c_283004]) ).
tcf(c_283146,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_660,c_283004]) ).
tcf(c_283148,plain,
multiply(iPr_def_16,sk_c9) = iPr_def_14,
inference(demodulation,[status(thm)],[c_626,c_283004]) ).
tcf(c_283314,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_26 ) ),
inference(equality_resolution_simp,[status(thm)],[c_283015]) ).
tcf(c_283382,plain,
( ( iPr_def_16 = iPr_def_24 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283129,c_271750]) ).
tcf(c_283384,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283129,c_271544]) ).
tcf(c_283385,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_283129,c_271542]) ).
tcf(c_283390,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283129,c_644]) ).
tcf(c_283391,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_14 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_283129,c_271434]) ).
tcf(c_283424,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283130,c_271750]) ).
tcf(c_283426,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283130,c_271544]) ).
tcf(c_283427,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_283130,c_271542]) ).
tcf(c_283432,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283130,c_644]) ).
tcf(c_283461,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283131,c_271750]) ).
tcf(c_283463,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283131,c_271544]) ).
tcf(c_283464,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_283131,c_271542]) ).
tcf(c_283469,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283131,c_644]) ).
tcf(c_283493,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_283132,c_271561]) ).
tcf(c_283494,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_283132,c_270119]) ).
tcf(c_283508,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283133,c_272704]) ).
tcf(c_283509,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283133,c_272614]) ).
tcf(c_283510,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283133,c_272547]) ).
tcf(c_283536,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_283134,c_281477]) ).
tcf(c_283538,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283134,c_271544]) ).
tcf(c_283539,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_283134,c_271542]) ).
tcf(c_283540,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_283134,c_270842]) ).
tcf(c_283542,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_283134,c_270052]) ).
tcf(c_283545,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_283134,c_271434]) ).
tcf(c_283572,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_283135,c_271561]) ).
tcf(c_283573,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_283135,c_270119]) ).
tcf(c_283579,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_272386,c_278124]) ).
tcf(c_283586,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),iPr_def_16),X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_283579,c_105]) ).
tcf(c_283594,plain,
( ( sk_c9 != iPr_def_28 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_282624,c_1605,c_1606,c_22162,c_38066,c_79496,c_127408,c_129948,c_272455,c_282125,c_283007]) ).
tcf(c_283595,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_28 ) ),
inference(renaming,[status(thm)],[c_283594]) ).
tcf(c_283600,plain,
( ( iPr_def_16 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_283133,c_283595]) ).
tcf(c_283604,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_694,c_283595]) ).
tcf(c_283605,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_674,c_283595]) ).
tcf(c_283606,plain,
( ( sk_c9 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_26 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_664,c_283595]) ).
tcf(c_283620,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_26 != iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_282726,c_283004]) ).
tcf(c_283630,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_272692,c_283620]) ).
tcf(c_283631,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_272691,c_283620]) ).
tcf(c_283632,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_272601,c_283620]) ).
tcf(c_283646,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_283036,c_105]) ).
tcf(c_283648,plain,
multiply(inverse(iPr_def_24),iPr_def_16) = iPr_def_22,
inference(superposition,[status(thm)],[c_283112,c_277266]) ).
tcf(c_283651,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283135,c_283116]) ).
tcf(c_283652,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283132,c_283116]) ).
tcf(c_283653,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_281249,c_283116]) ).
tcf(c_283654,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_280980,c_283116]) ).
tcf(c_283655,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_280434,c_283116]) ).
tcf(c_283656,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272692,c_283116]) ).
tcf(c_283657,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272691,c_283116]) ).
tcf(c_283658,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_272601,c_283116]) ).
tcf(c_283659,plain,
multiply(inverse(iPr_def_27),iPr_def_16) = iPr_def_28,
inference(superposition,[status(thm)],[c_283116,c_277266]) ).
tcf(c_283677,plain,
multiply(inverse(iPr_def_16),iPr_def_16) = iPr_def_26,
inference(superposition,[status(thm)],[c_283117,c_277266]) ).
tcf(c_283683,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_28) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283136,c_283116]) ).
tcf(c_283684,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_283136,c_271561]) ).
tcf(c_283685,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_283136,c_270119]) ).
tcf(c_283697,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_23) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_283137,c_282438]) ).
tcf(c_283698,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_283137,c_279714]) ).
tcf(c_283699,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_15) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_283137,c_278210]) ).
tcf(c_283700,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c6,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_283137,c_278917]) ).
tcf(c_283704,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_283137,c_278780]) ).
tcf(c_283707,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_283137,c_277284]) ).
tcf(c_283708,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_17) = multiply(iPr_def_17,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_283137,c_276943]) ).
tcf(c_283709,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_283137,c_271545]) ).
tcf(c_283710,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283137,c_271544]) ).
tcf(c_283743,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_15) = multiply(iPr_def_21,sk_c7) ) ),
inference(superposition,[status(thm)],[c_283138,c_279332]) ).
tcf(c_283745,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_283138,c_279317]) ).
tcf(c_283746,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_283138,c_278917]) ).
tcf(c_283750,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_283138,c_271562]) ).
tcf(c_283781,plain,
( ( iPr_def_16 = iPr_def_24 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283139,c_271750]) ).
tcf(c_283783,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283139,c_271544]) ).
tcf(c_283784,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_283139,c_271542]) ).
tcf(c_283790,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283139,c_644]) ).
tcf(c_283791,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_16 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_283139,c_271434]) ).
tcf(c_283793,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283139,c_673]) ).
tcf(c_283839,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283140,c_271750]) ).
tcf(c_283841,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283140,c_271544]) ).
tcf(c_283842,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_283140,c_271542]) ).
tcf(c_283848,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283140,c_644]) ).
tcf(c_283851,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283140,c_673]) ).
tcf(c_283891,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283141,c_271750]) ).
tcf(c_283893,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283141,c_271544]) ).
tcf(c_283894,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_283141,c_271542]) ).
tcf(c_283900,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283141,c_644]) ).
tcf(c_283903,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283141,c_673]) ).
tcf(c_283943,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_272387,c_278124]) ).
tcf(c_283950,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),iPr_def_16),X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_283943,c_105]) ).
tcf(c_283955,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_278779,c_283646]) ).
tcf(c_283956,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270294,c_283646]) ).
tcf(c_283957,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_271189,c_283646]) ).
tcf(c_283958,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(iPr_def_24,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_271542,c_283646]) ).
tcf(c_283959,plain,
multiply(iPr_def_16,sk_c4) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_278124,c_283646]) ).
tcf(c_283960,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_282437,c_283646]) ).
tcf(c_283962,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(sk_c4,X0),X1)) = multiply(multiply(iPr_def_24,X0),X1),
inference(superposition,[status(thm)],[c_283646,c_105]) ).
tcf(c_283968,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_283956,c_283112]) ).
tcf(c_283971,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_283955,c_283112]) ).
tcf(c_283982,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272692,c_283604]) ).
tcf(c_283983,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272691,c_283604]) ).
tcf(c_283984,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272601,c_283604]) ).
tcf(c_284003,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272692,c_283605]) ).
tcf(c_284004,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272691,c_283605]) ).
tcf(c_284005,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272601,c_283605]) ).
tcf(c_284024,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c9 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_272692,c_283606]) ).
tcf(c_284025,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c9 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_272691,c_283606]) ).
tcf(c_284026,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c9 = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_272601,c_283606]) ).
tcf(c_284039,plain,
multiply(inverse(sk_c3),iPr_def_22) = iPr_def_16,
inference(superposition,[status(thm)],[c_283122,c_277266]) ).
tcf(c_284049,plain,
multiply(inverse(sk_c1),iPr_def_28) = iPr_def_16,
inference(superposition,[status(thm)],[c_283143,c_277266]) ).
tcf(c_284053,plain,
multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16,
inference(superposition,[status(thm)],[c_283144,c_277266]) ).
tcf(c_284085,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11
| ( iPr_def_26 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_283146,c_283595]) ).
tcf(c_284102,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_273007,c_272834]) ).
tcf(c_284103,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271682,c_272834]) ).
tcf(c_284104,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_271657,c_272834]) ).
tcf(c_284105,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_273010,c_272834]) ).
tcf(c_284107,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279114,c_272834]) ).
tcf(c_284108,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279055,c_272834]) ).
tcf(c_284111,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_272834,c_277266]) ).
tcf(c_284112,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272834,c_105]) ).
tcf(c_284119,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_284111,c_277401]) ).
tcf(c_284138,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271682,c_272836]) ).
tcf(c_284139,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_271657,c_272836]) ).
tcf(c_284140,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_273010,c_272836]) ).
tcf(c_284142,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279114,c_272836]) ).
tcf(c_284146,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_272836,c_277266]) ).
tcf(c_284147,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272836,c_105]) ).
tcf(c_284152,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_284146,c_277401]) ).
tcf(c_284165,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271682,c_272837]) ).
tcf(c_284166,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_271657,c_272837]) ).
tcf(c_284167,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_273010,c_272837]) ).
tcf(c_284173,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_272837,c_277266]) ).
tcf(c_284174,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272837,c_105]) ).
tcf(c_284179,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_284173,c_277401]) ).
tcf(c_284193,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,identity) ) ),
inference(light_normalisation,[status(thm)],[c_272388,c_283004]) ).
tcf(c_284194,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_284193,c_278124]) ).
tcf(c_284201,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283136,c_284194]) ).
tcf(c_284202,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283135,c_284194]) ).
tcf(c_284203,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283132,c_284194]) ).
tcf(c_284207,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),iPr_def_27),X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_284194,c_105]) ).
tcf(c_284222,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283133,c_283148]) ).
tcf(c_284226,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_283148]) ).
tcf(c_284227,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_283148]) ).
tcf(c_284238,plain,
multiply(iPr_def_26,sk_c4) = sk_c4,
inference(demodulation,[status(thm)],[c_283021,c_277403,c_278254]) ).
tcf(c_284239,plain,
multiply(sk_c2,iPr_def_24) = sk_c4,
inference(demodulation,[status(thm)],[c_278254,c_284238]) ).
tcf(c_284240,plain,
multiply(inverse(iPr_def_26),sk_c4) = sk_c4,
inference(superposition,[status(thm)],[c_284238,c_277266]) ).
tcf(c_284241,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(sk_c4,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_284238,c_105]) ).
tcf(c_284243,plain,
multiply(inverse(sk_c2),sk_c4) = iPr_def_24,
inference(superposition,[status(thm)],[c_284239,c_277266]) ).
tcf(c_284244,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_24,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_284239,c_105]) ).
tcf(c_284248,plain,
multiply(iPr_def_26,sk_c9) = sk_c9,
inference(demodulation,[status(thm)],[c_283037,c_276247,c_277403]) ).
tcf(c_284249,plain,
multiply(sk_c2,iPr_def_14) = sk_c9,
inference(demodulation,[status(thm)],[c_276247,c_284248]) ).
tcf(c_284250,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283146,c_284248]) ).
tcf(c_284251,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283145,c_284248]) ).
tcf(c_284252,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283142,c_284248]) ).
tcf(c_284253,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283133,c_284248]) ).
tcf(c_284257,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_284248]) ).
tcf(c_284258,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_284248]) ).
tcf(c_284259,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_664,c_284248]) ).
tcf(c_284260,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_663,c_284248]) ).
tcf(c_284261,plain,
multiply(inverse(iPr_def_26),sk_c9) = sk_c9,
inference(superposition,[status(thm)],[c_284248,c_277266]) ).
tcf(c_284262,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_284248,c_105]) ).
tcf(c_284284,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_16),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284226,c_277266]) ).
tcf(c_284285,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_284226,c_105]) ).
tcf(c_284295,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_16),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284227,c_277266]) ).
tcf(c_284296,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_284227,c_105]) ).
tcf(c_284306,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284257,c_277266]) ).
tcf(c_284307,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_284257,c_105]) ).
tcf(c_284317,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_26),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284258,c_277266]) ).
tcf(c_284318,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_284258,c_105]) ).
tcf(c_284328,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284259,c_277266]) ).
tcf(c_284329,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_284259,c_105]) ).
tcf(c_284339,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_26),iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284260,c_277266]) ).
tcf(c_284340,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_284260,c_105]) ).
tcf(c_284353,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_277015,c_277266]) ).
tcf(c_284354,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(multiply(iPr_def_15,iPr_def_17),X0) = multiply(iPr_def_17,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_277015,c_105]) ).
tcf(c_284356,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_277015,c_270865]) ).
tcf(c_284372,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,iPr_def_17)) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_277016,c_277266]) ).
tcf(c_284373,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(multiply(iPr_def_15,iPr_def_17),X0) = multiply(iPr_def_17,multiply(iPr_def_15,X0)) ) ),
inference(superposition,[status(thm)],[c_277016,c_105]) ).
tcf(c_284374,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_277016,c_270867]) ).
tcf(c_284376,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_277016,c_270861]) ).
tcf(c_284387,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,identity) ) ),
inference(light_normalisation,[status(thm)],[c_272389,c_283004]) ).
tcf(c_284388,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_284387,c_278124]) ).
tcf(c_284395,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283136,c_284388]) ).
tcf(c_284396,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283135,c_284388]) ).
tcf(c_284401,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),iPr_def_27),X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_284388,c_105]) ).
tcf(c_284410,plain,
multiply(iPr_def_26,iPr_def_23) = iPr_def_23,
inference(superposition,[status(thm)],[c_635,c_284241]) ).
tcf(c_284414,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_271542,c_284241]) ).
tcf(c_284417,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c4,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_284241,c_277266]) ).
tcf(c_284418,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(sk_c4,X0),X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_284241,c_105]) ).
tcf(c_284422,plain,
multiply(inverse(iPr_def_26),iPr_def_23) = iPr_def_23,
inference(superposition,[status(thm)],[c_284410,c_277266]) ).
tcf(c_284424,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,sk_c9) = multiply(sk_c2,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_272704,c_284244]) ).
tcf(c_284425,plain,
multiply(sk_c4,sk_c3) = multiply(sk_c2,identity),
inference(superposition,[status(thm)],[c_270114,c_284244]) ).
tcf(c_284426,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c3,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_271566,c_284244]) ).
tcf(c_284427,plain,
multiply(sk_c4,identity) = multiply(sk_c2,iPr_def_24),
inference(superposition,[status(thm)],[c_278124,c_284244]) ).
tcf(c_284428,plain,
multiply(sk_c4,iPr_def_22) = multiply(sk_c2,iPr_def_16),
inference(superposition,[status(thm)],[c_283112,c_284244]) ).
tcf(c_284429,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(sk_c4,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_284244,c_277266]) ).
tcf(c_284430,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_24,X0),X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_284244,c_105]) ).
tcf(c_284432,plain,
multiply(sk_c4,iPr_def_22) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_284428,c_283144]) ).
tcf(c_284436,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_278779,c_284432]) ).
tcf(c_284437,plain,
( ( iPr_def_23 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_270294,c_284432]) ).
tcf(c_284445,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_283146,c_284262]) ).
tcf(c_284446,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_283145,c_284262]) ).
tcf(c_284447,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_283142,c_284262]) ).
tcf(c_284456,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c9,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_284262,c_277266]) ).
tcf(c_284457,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_284262,c_105]) ).
tcf(c_284469,plain,
multiply(inverse(sk_c2),sk_c9) = iPr_def_14,
inference(superposition,[status(thm)],[c_284249,c_277266]) ).
tcf(c_284470,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_284249,c_105]) ).
tcf(c_284474,plain,
multiply(inverse(sk_c4),iPr_def_26) = iPr_def_22,
inference(superposition,[status(thm)],[c_284432,c_277266]) ).
tcf(c_284475,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_284432,c_105]) ).
tcf(c_284476,plain,
multiply(iPr_def_26,iPr_def_26) = iPr_def_26,
inference(superposition,[status(thm)],[c_284432,c_284241]) ).
tcf(c_284477,plain,
multiply(iPr_def_16,iPr_def_26) = multiply(iPr_def_24,iPr_def_22),
inference(superposition,[status(thm)],[c_284432,c_283646]) ).
tcf(c_284478,plain,
multiply(iPr_def_22,iPr_def_26) = iPr_def_22,
inference(superposition,[status(thm)],[c_284432,c_271565]) ).
tcf(c_284482,plain,
multiply(inverse(iPr_def_26),iPr_def_26) = iPr_def_26,
inference(superposition,[status(thm)],[c_284476,c_277266]) ).
tcf(c_284483,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_284476,c_105]) ).
tcf(c_284486,plain,
multiply(inverse(iPr_def_22),iPr_def_22) = iPr_def_26,
inference(superposition,[status(thm)],[c_284478,c_277266]) ).
tcf(c_284487,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_284478,c_105]) ).
tcf(c_284488,plain,
( ( iPr_def_22 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284478,c_280892]) ).
tcf(c_284494,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,identity) = multiply(iPr_def_17,sk_c7) ) ),
inference(light_normalisation,[status(thm)],[c_277039,c_283004]) ).
tcf(c_284504,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_24,identity) = multiply(iPr_def_27,sk_c4) ) ),
inference(light_normalisation,[status(thm)],[c_277096,c_283004]) ).
tcf(c_284510,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_24,identity) = multiply(iPr_def_27,sk_c4) ) ),
inference(light_normalisation,[status(thm)],[c_277097,c_283004]) ).
tcf(c_284516,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_24,identity) = multiply(iPr_def_27,sk_c4) ) ),
inference(light_normalisation,[status(thm)],[c_277098,c_283004]) ).
tcf(c_284522,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,identity) ) ),
inference(light_normalisation,[status(thm)],[c_272390,c_283004]) ).
tcf(c_284523,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_27)) = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_284522,c_278124]) ).
tcf(c_284530,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283136,c_284523]) ).
tcf(c_284536,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),iPr_def_27),X0)) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_284523,c_105]) ).
tcf(c_284542,plain,
multiply(sk_c9,identity) = multiply(sk_c2,iPr_def_14),
inference(superposition,[status(thm)],[c_278124,c_284470]) ).
tcf(c_284543,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(sk_c2,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_284523,c_284470]) ).
tcf(c_284544,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(sk_c2,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_284388,c_284470]) ).
tcf(c_284545,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(sk_c2,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_284194,c_284470]) ).
tcf(c_284546,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(sk_c2,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_283943,c_284470]) ).
tcf(c_284547,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(sk_c2,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_283579,c_284470]) ).
tcf(c_284548,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(sk_c2,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_282559,c_284470]) ).
tcf(c_284549,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(sk_c9,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_284470,c_277266]) ).
tcf(c_284550,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_14,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_284470,c_105]) ).
tcf(c_284552,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_284542,c_284249]) ).
tcf(c_284554,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_284548,c_283144]) ).
tcf(c_284557,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_284547,c_283144]) ).
tcf(c_284560,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c9,multiply(inverse(iPr_def_14),iPr_def_16)) = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_284546,c_283144]) ).
tcf(c_284570,plain,
multiply(sk_c4,identity) = multiply(iPr_def_26,sk_c4),
inference(superposition,[status(thm)],[c_270115,c_284475]) ).
tcf(c_284572,plain,
multiply(sk_c4,sk_c10) = multiply(iPr_def_26,iPr_def_23),
inference(superposition,[status(thm)],[c_272860,c_284475]) ).
tcf(c_284573,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c10,X0)) = multiply(iPr_def_26,multiply(iPr_def_23,X0)),
inference(superposition,[status(thm)],[c_272995,c_284475]) ).
tcf(c_284574,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_280892,c_284475]) ).
tcf(c_284575,plain,
multiply(sk_c4,iPr_def_22) = multiply(iPr_def_26,identity),
inference(superposition,[status(thm)],[c_278124,c_284475]) ).
tcf(c_284576,plain,
multiply(sk_c4,iPr_def_22) = multiply(iPr_def_26,iPr_def_26),
inference(superposition,[status(thm)],[c_284478,c_284475]) ).
tcf(c_284577,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_26,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_284475,c_277266]) ).
tcf(c_284578,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1),
inference(superposition,[status(thm)],[c_284475,c_105]) ).
tcf(c_284580,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(iPr_def_24,multiply(iPr_def_22,X0)),
inference(superposition,[status(thm)],[c_284475,c_283646]) ).
tcf(c_284594,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_26,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_284483,c_277266]) ).
tcf(c_284595,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_26,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1),
inference(superposition,[status(thm)],[c_284483,c_105]) ).
tcf(c_284599,plain,
multiply(iPr_def_22,identity) = multiply(iPr_def_22,iPr_def_26),
inference(superposition,[status(thm)],[c_278124,c_284487]) ).
tcf(c_284600,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(iPr_def_22,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_284487,c_277266]) ).
tcf(c_284601,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_22,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1),
inference(superposition,[status(thm)],[c_284487,c_105]) ).
tcf(c_284602,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_26,multiply(iPr_def_26,X0)),
inference(superposition,[status(thm)],[c_284487,c_284475]) ).
tcf(c_284603,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,X0) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_284487,c_280892]) ).
tcf(c_284611,plain,
( iPr_def_13
| iPr_def_12
| ( iPr_def_16 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_283125,c_157,c_703,c_641,c_1752,c_1920,c_3458,c_3630,c_3626,c_6457,c_6493,c_8981,c_9129,c_9901,c_10154,c_15641,c_17353,c_18397,c_20303,c_21160,c_91724,c_91903,c_92369,c_93960,c_114815,c_114818,c_119050,c_120665,c_127028,c_140527,c_140528,c_270314,c_270398,c_270927,c_270928,c_276205,c_276503,c_281942,c_282835,c_282823,c_283146,c_283141]) ).
tcf(c_284619,plain,
( iPr_def_13
| iPr_def_12
| ( iPr_def_16 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_283126,c_157,c_703,c_641,c_1752,c_1920,c_3458,c_3630,c_3626,c_6457,c_6493,c_8981,c_9129,c_9901,c_10154,c_15641,c_17353,c_18397,c_20303,c_21160,c_91724,c_91903,c_92369,c_93960,c_114815,c_114818,c_119050,c_120665,c_127028,c_140527,c_140528,c_270314,c_270398,c_270927,c_270928,c_276205,c_276503,c_281942,c_282835,c_282823,c_283145,c_283140]) ).
tcf(c_284631,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_283146,c_283314]) ).
tcf(c_284632,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_283145,c_283314]) ).
tcf(c_284634,plain,
( ( iPr_def_16 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283133,c_283314]) ).
tcf(c_284638,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_694,c_283314]) ).
tcf(c_284639,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_23 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_674,c_283314]) ).
tcf(c_284640,plain,
( ( sk_c9 = iPr_def_23 )
| ~ iPr_def_11 ),
inference(superposition,[status(thm)],[c_664,c_283314]) ).
tcf(c_284665,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_284638,c_157,c_158,c_702,c_703,c_639,c_1571,c_1679,c_1923,c_1935,c_2207,c_2400,c_2713,c_3088,c_3462,c_3458,c_3825,c_4042,c_4043,c_4044,c_6469,c_9237,c_13216,c_13842,c_13876,c_15583,c_15641,c_15670,c_18396,c_19173,c_19960,c_20812,c_21160,c_23635,c_26866,c_29230,c_29967,c_32705,c_32844,c_38067,c_49976,c_51184,c_63842,c_66485,c_75138,c_79520,c_81866,c_91724,c_91726,c_91738,c_91903,c_92369,c_93960,c_114815,c_114818,c_119050,c_120665,c_129950,c_140509,c_140510,c_140527,c_140528,c_182825,c_270314,c_270362,c_270364,c_270398,c_270927,c_270928,c_272372,c_276503,c_282427,c_284437,c_284640,c_284638]) ).
tcf(c_284671,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_284639,c_157,c_158,c_702,c_703,c_639,c_1571,c_1679,c_1923,c_1935,c_2207,c_2400,c_2713,c_3462,c_3458,c_3825,c_4042,c_4043,c_4044,c_5437,c_6469,c_9237,c_13216,c_13842,c_13876,c_15583,c_15641,c_15670,c_18396,c_19173,c_20812,c_21160,c_23635,c_26866,c_29230,c_29967,c_32705,c_32844,c_38067,c_51184,c_63842,c_66485,c_75138,c_79520,c_81866,c_91724,c_91726,c_91738,c_91903,c_92369,c_93960,c_114815,c_114818,c_119050,c_120665,c_129950,c_140509,c_140510,c_140527,c_140528,c_182825,c_270314,c_270362,c_270364,c_270398,c_270927,c_270928,c_272372,c_276503,c_282427,c_284640,c_284665]) ).
tcf(c_284683,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_27,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_277182,c_283004,c_283038]) ).
tcf(c_284690,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_16,iPr_def_23)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284683,c_277266]) ).
tcf(c_284691,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(multiply(iPr_def_16,iPr_def_23),X0) = multiply(iPr_def_27,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_284683,c_105]) ).
tcf(c_284697,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_27,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_277183,c_283004,c_283038]) ).
tcf(c_284704,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_16,iPr_def_23)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284697,c_277266]) ).
tcf(c_284705,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(multiply(iPr_def_16,iPr_def_23),X0) = multiply(iPr_def_27,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_284697,c_105]) ).
tcf(c_284714,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_275578,c_275916]) ).
tcf(c_284719,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_27,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_277184,c_283004,c_283038]) ).
tcf(c_284726,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_16,iPr_def_23)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284719,c_277266]) ).
tcf(c_284727,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(multiply(iPr_def_16,iPr_def_23),X0) = multiply(iPr_def_27,multiply(iPr_def_23,X0)) ) ),
inference(superposition,[status(thm)],[c_284719,c_105]) ).
tcf(c_284739,plain,
( ( iPr_def_14 = iPr_def_28 )
| iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_278771,c_157,c_158,c_702,c_703,c_639,c_1571,c_1679,c_1923,c_1935,c_2207,c_2400,c_3462,c_3825,c_4042,c_4043,c_4044,c_9237,c_13216,c_13842,c_13876,c_15583,c_15641,c_15670,c_18396,c_19173,c_20812,c_21160,c_23635,c_26866,c_29230,c_29967,c_32705,c_32844,c_38067,c_51184,c_63842,c_66485,c_75138,c_79520,c_81866,c_91724,c_91726,c_91738,c_91903,c_92369,c_93960,c_114815,c_114818,c_119050,c_120665,c_129950,c_140509,c_140510,c_140527,c_140528,c_182825,c_270314,c_270362,c_270364,c_270398,c_270927,c_270928,c_276503,c_282427]) ).
tcf(c_284740,plain,
( iPr_def_12
| ( iPr_def_14 = iPr_def_28 ) ),
inference(renaming,[status(thm)],[c_284739]) ).
tcf(c_284741,plain,
iPr_def_14 = iPr_def_28,
inference(global_subsumption_just,[status(thm)],[c_284740,c_13842,c_17316,c_18396,c_29638,c_119050,c_284740]) ).
tcf(c_284746,plain,
multiply(sk_c1,iPr_def_16) = iPr_def_14,
inference(demodulation,[status(thm)],[c_283143,c_284741]) ).
tcf(c_284747,plain,
multiply(iPr_def_27,iPr_def_14) = iPr_def_16,
inference(demodulation,[status(thm)],[c_283116,c_284741]) ).
tcf(c_284748,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_283595,c_284741]) ).
tcf(c_284758,plain,
multiply(sk_c1,iPr_def_24) = multiply(iPr_def_14,sk_c4),
inference(demodulation,[status(thm)],[c_278255,c_284741]) ).
tcf(c_284771,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_14,sk_c9),
inference(demodulation,[status(thm)],[c_275423,c_284741]) ).
tcf(c_284772,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_271190,c_284741]) ).
tcf(c_284773,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_271189,c_284741]) ).
tcf(c_284781,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_694,c_284741]) ).
tcf(c_284823,plain,
multiply(inverse(sk_c1),iPr_def_14) = iPr_def_16,
inference(superposition,[status(thm)],[c_284746,c_277266]) ).
tcf(c_284824,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_284746,c_105]) ).
tcf(c_284828,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283136,c_284747]) ).
tcf(c_284829,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283135,c_284747]) ).
tcf(c_284830,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_283132,c_284747]) ).
tcf(c_284831,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_281249,c_284747]) ).
tcf(c_284832,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_280980,c_284747]) ).
tcf(c_284833,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_280434,c_284747]) ).
tcf(c_284834,plain,
multiply(inverse(iPr_def_27),iPr_def_16) = iPr_def_14,
inference(superposition,[status(thm)],[c_284747,c_277266]) ).
tcf(c_284835,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_284747,c_105]) ).
tcf(c_284849,plain,
multiply(inverse(inverse(iPr_def_26)),sk_c4) = sk_c4,
inference(superposition,[status(thm)],[c_284240,c_277266]) ).
tcf(c_284860,plain,
multiply(inverse(inverse(iPr_def_26)),sk_c9) = sk_c9,
inference(superposition,[status(thm)],[c_284261,c_277266]) ).
tcf(c_284875,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_272371,c_279488]) ).
tcf(c_284877,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_15,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_279488,c_277266]) ).
tcf(c_284878,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(multiply(iPr_def_15,iPr_def_19),X0) = multiply(iPr_def_21,multiply(sk_c10,X0)) ) ),
inference(superposition,[status(thm)],[c_279488,c_105]) ).
tcf(c_284880,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,iPr_def_19)) = multiply(sk_c8,sk_c10) ) ),
inference(superposition,[status(thm)],[c_279488,c_273230]) ).
tcf(c_284885,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,iPr_def_19)) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_284880,c_631]) ).
tcf(c_284898,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_283134,c_279489]) ).
tcf(c_284901,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_15,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_279489,c_277266]) ).
tcf(c_284902,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(multiply(iPr_def_15,iPr_def_19),X0) = multiply(iPr_def_21,multiply(sk_c10,X0)) ) ),
inference(superposition,[status(thm)],[c_279489,c_105]) ).
tcf(c_284903,plain,
( ( sk_c9 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(iPr_def_21) != sk_c10 )
| ( multiply(iPr_def_15,iPr_def_19) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_279489,c_644]) ).
tcf(c_284904,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,iPr_def_19)) = multiply(sk_c8,sk_c10) ) ),
inference(superposition,[status(thm)],[c_279489,c_273230]) ).
tcf(c_284907,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,iPr_def_19)) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_284904,c_631]) ).
tcf(c_284932,plain,
multiply(sk_c1,identity) = multiply(iPr_def_14,sk_c2),
inference(superposition,[status(thm)],[c_270120,c_284824]) ).
tcf(c_284934,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c2,X0)) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_271560,c_284824]) ).
tcf(c_284935,plain,
multiply(sk_c1,iPr_def_16) = multiply(iPr_def_14,iPr_def_26),
inference(superposition,[status(thm)],[c_283117,c_284824]) ).
tcf(c_284936,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_14,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_284227,c_284824]) ).
tcf(c_284937,plain,
multiply(sk_c1,iPr_def_16) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_278124,c_284824]) ).
tcf(c_284939,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_14,multiply(sk_c4,X0)),
inference(superposition,[status(thm)],[c_283646,c_284824]) ).
tcf(c_284940,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_284824,c_277266]) ).
tcf(c_284941,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1),
inference(superposition,[status(thm)],[c_284824,c_105]) ).
tcf(c_284944,plain,
multiply(iPr_def_14,iPr_def_26) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_284935,c_284746]) ).
tcf(c_284946,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_14,sk_c9) = multiply(iPr_def_14,iPr_def_23) ) ),
inference(light_normalisation,[status(thm)],[c_284936,c_284771]) ).
tcf(c_284952,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_283136,c_284835]) ).
tcf(c_284953,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_283135,c_284835]) ).
tcf(c_284954,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_283132,c_284835]) ).
tcf(c_284955,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_281249,c_284835]) ).
tcf(c_284956,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_280980,c_284835]) ).
tcf(c_284957,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_280434,c_284835]) ).
tcf(c_284958,plain,
multiply(iPr_def_16,identity) = multiply(iPr_def_27,iPr_def_14),
inference(superposition,[status(thm)],[c_278124,c_284835]) ).
tcf(c_284959,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_284523,c_284835]) ).
tcf(c_284960,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_284388,c_284835]) ).
tcf(c_284961,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(inverse(iPr_def_14),iPr_def_27)) = multiply(iPr_def_27,iPr_def_27) ) ),
inference(superposition,[status(thm)],[c_284194,c_284835]) ).
tcf(c_284962,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(iPr_def_27,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_283943,c_284835]) ).
tcf(c_284963,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(iPr_def_27,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_283579,c_284835]) ).
tcf(c_284964,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(inverse(iPr_def_14),iPr_def_16)) = multiply(iPr_def_27,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_282559,c_284835]) ).
tcf(c_284965,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_284835,c_277266]) ).
tcf(c_284966,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(iPr_def_14,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1),
inference(superposition,[status(thm)],[c_284835,c_105]) ).
tcf(c_284967,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_284958,c_284747]) ).
tcf(c_285001,plain,
! [X0: $i] : multiply(multiply(iPr_def_14,sk_c4),X0) = multiply(iPr_def_14,multiply(sk_c4,X0)),
inference(light_normalisation,[status(thm)],[c_280883,c_284741,c_284939]) ).
tcf(c_285002,plain,
multiply(inverse(iPr_def_14),iPr_def_14) = iPr_def_26,
inference(superposition,[status(thm)],[c_284944,c_277266]) ).
tcf(c_285003,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_26,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_284944,c_105]) ).
tcf(c_285004,plain,
multiply(iPr_def_16,iPr_def_26) = multiply(iPr_def_27,iPr_def_14),
inference(superposition,[status(thm)],[c_284944,c_284835]) ).
tcf(c_285005,plain,
multiply(sk_c9,iPr_def_26) = multiply(sk_c2,iPr_def_14),
inference(superposition,[status(thm)],[c_284944,c_284470]) ).
tcf(c_285006,plain,
multiply(sk_c9,iPr_def_26) = sk_c9,
inference(light_normalisation,[status(thm)],[c_285005,c_284249]) ).
tcf(c_285013,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283133,c_285006]) ).
tcf(c_285015,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_23,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_285006]) ).
tcf(c_285018,plain,
multiply(inverse(sk_c9),sk_c9) = iPr_def_26,
inference(superposition,[status(thm)],[c_285006,c_277266]) ).
tcf(c_285019,plain,
! [X0: $i] : multiply(sk_c9,multiply(iPr_def_26,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_285006,c_105]) ).
tcf(c_285026,plain,
multiply(inverse(inverse(iPr_def_26)),iPr_def_23) = iPr_def_23,
inference(superposition,[status(thm)],[c_284422,c_277266]) ).
tcf(c_285027,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_284422,c_105]) ).
tcf(c_285029,plain,
identity = iPr_def_26,
inference(demodulation,[status(thm)],[c_284482,c_104]) ).
tcf(c_285030,plain,
multiply(sk_c3,iPr_def_24) = iPr_def_26,
inference(demodulation,[status(thm)],[c_278256,c_285029]) ).
tcf(c_285031,plain,
multiply(sk_c7,iPr_def_15) = iPr_def_26,
inference(demodulation,[status(thm)],[c_278214,c_285029]) ).
tcf(c_285032,plain,
! [X0: $i] : multiply(X0,iPr_def_26) = X0,
inference(demodulation,[status(thm)],[c_278124,c_285029]) ).
tcf(c_285033,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_270867,c_285029]) ).
tcf(c_285034,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_270865,c_285029]) ).
tcf(c_285035,plain,
multiply(iPr_def_15,sk_c7) = iPr_def_26,
inference(demodulation,[status(thm)],[c_271657,c_285029]) ).
tcf(c_285036,plain,
multiply(iPr_def_16,sk_c2) = iPr_def_26,
inference(demodulation,[status(thm)],[c_270120,c_285029]) ).
tcf(c_285037,plain,
multiply(iPr_def_27,sk_c1) = iPr_def_26,
inference(demodulation,[status(thm)],[c_270119,c_285029]) ).
tcf(c_285038,plain,
multiply(iPr_def_17,sk_c6) = iPr_def_26,
inference(demodulation,[status(thm)],[c_270118,c_285029]) ).
tcf(c_285039,plain,
multiply(iPr_def_22,sk_c4) = iPr_def_26,
inference(demodulation,[status(thm)],[c_270115,c_285029]) ).
tcf(c_285040,plain,
multiply(iPr_def_24,sk_c3) = iPr_def_26,
inference(demodulation,[status(thm)],[c_270114,c_285029]) ).
tcf(c_285041,plain,
! [X0: $i] : multiply(inverse(X0),X0) = iPr_def_26,
inference(demodulation,[status(thm)],[c_104,c_285029]) ).
tcf(c_285042,plain,
! [X0: $i] : multiply(iPr_def_26,X0) = X0,
inference(demodulation,[status(thm)],[c_103,c_285029]) ).
tcf(c_285043,plain,
inverse(iPr_def_26) = iPr_def_26,
inference(demodulation,[status(thm)],[c_63435,c_285029]) ).
tcf(c_285049,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_22,X0)) = X0,
inference(demodulation,[status(thm)],[c_284475,c_285042]) ).
tcf(c_285066,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(multiply(inverse(iPr_def_14),iPr_def_16),X0)) = multiply(multiply(iPr_def_16,iPr_def_26),X0),
inference(light_normalisation,[status(thm)],[c_272394,c_283004,c_285029]) ).
tcf(c_285067,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(inverse(iPr_def_14),multiply(iPr_def_16,X0))) = multiply(iPr_def_16,X0),
inference(demodulation,[status(thm)],[c_285066,c_105,c_283041]) ).
tcf(c_285069,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(inverse(iPr_def_14),X0)) = X0,
inference(superposition,[status(thm)],[c_271560,c_285067]) ).
tcf(c_285079,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,multiply(sk_c7,X0)),
inference(demodulation,[status(thm)],[c_282069,c_105]) ).
tcf(c_285080,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_283138,c_285079]) ).
tcf(c_285082,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_271658,c_285079]) ).
tcf(c_285084,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,multiply(sk_c7,X0)) ) ),
inference(superposition,[status(thm)],[c_657,c_285079]) ).
tcf(c_285085,plain,
multiply(iPr_def_21,multiply(sk_c7,iPr_def_15)) = multiply(sk_c6,sk_c8),
inference(superposition,[status(thm)],[c_273007,c_285079]) ).
tcf(c_285086,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c7,multiply(sk_c7,X0))) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_271682,c_285079]) ).
tcf(c_285087,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c7,multiply(iPr_def_15,X0))) = multiply(sk_c6,multiply(sk_c8,X0)),
inference(superposition,[status(thm)],[c_273010,c_285079]) ).
tcf(c_285088,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c7,iPr_def_17)) = multiply(sk_c6,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_279114,c_285079]) ).
tcf(c_285089,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(sk_c7,iPr_def_17)) = multiply(sk_c6,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_279055,c_285079]) ).
tcf(c_285090,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c7,sk_c8)) = multiply(sk_c6,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_278904,c_285079]) ).
tcf(c_285091,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(sk_c7,sk_c8)) = multiply(sk_c6,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_278903,c_285079]) ).
tcf(c_285092,plain,
! [X0: $i] : multiply(inverse(sk_c6),multiply(iPr_def_21,multiply(sk_c7,X0))) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_285079,c_277266]) ).
tcf(c_285093,plain,
! [X0: $i,X1: $i] : multiply(multiply(iPr_def_21,multiply(sk_c7,X0)),X1) = multiply(sk_c6,multiply(multiply(iPr_def_15,X0),X1)),
inference(superposition,[status(thm)],[c_285079,c_105]) ).
tcf(c_285094,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_21,multiply(sk_c7,X0))) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_285079,c_271562]) ).
tcf(c_285095,plain,
multiply(iPr_def_21,iPr_def_26) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_285085,c_278895,c_285031]) ).
tcf(c_285096,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(inverse(sk_c8),X0)) = multiply(sk_c6,X0),
inference(light_normalisation,[status(thm)],[c_285086,c_279763]) ).
tcf(c_285098,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_21) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_285091,c_278590]) ).
tcf(c_285101,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_21) = multiply(iPr_def_21,iPr_def_15) ) ),
inference(light_normalisation,[status(thm)],[c_285090,c_278590]) ).
tcf(c_285111,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c8,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285080,c_273010]) ).
tcf(c_285118,plain,
! [X0: $i] : multiply(iPr_def_26,multiply(iPr_def_26,X0)) = X0,
inference(superposition,[status(thm)],[c_285043,c_277266]) ).
tcf(c_285120,plain,
multiply(inverse(sk_c3),iPr_def_26) = iPr_def_24,
inference(superposition,[status(thm)],[c_285030,c_277266]) ).
tcf(c_285121,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285030,c_105]) ).
tcf(c_285122,plain,
multiply(iPr_def_24,iPr_def_26) = iPr_def_24,
inference(superposition,[status(thm)],[c_285030,c_271566]) ).
tcf(c_285125,plain,
multiply(inverse(sk_c7),iPr_def_26) = iPr_def_15,
inference(superposition,[status(thm)],[c_285031,c_277266]) ).
tcf(c_285126,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_15,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285031,c_105]) ).
tcf(c_285127,plain,
multiply(iPr_def_15,iPr_def_26) = iPr_def_15,
inference(superposition,[status(thm)],[c_285031,c_271682]) ).
tcf(c_285132,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(iPr_def_26,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_285032,c_105]) ).
tcf(c_285133,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,iPr_def_26)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_285032,c_105]) ).
tcf(c_285134,plain,
multiply(sk_c10,iPr_def_26) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_285032,c_272995]) ).
tcf(c_285135,plain,
multiply(sk_c8,sk_c10) = multiply(iPr_def_19,iPr_def_26),
inference(superposition,[status(thm)],[c_285032,c_271544]) ).
tcf(c_285136,plain,
multiply(sk_c4,sk_c10) = multiply(iPr_def_23,iPr_def_26),
inference(superposition,[status(thm)],[c_285032,c_271542]) ).
tcf(c_285137,plain,
multiply(sk_c8,iPr_def_26) = multiply(iPr_def_17,iPr_def_21),
inference(superposition,[status(thm)],[c_285032,c_273230]) ).
tcf(c_285138,plain,
multiply(sk_c6,sk_c8) = multiply(iPr_def_21,iPr_def_26),
inference(superposition,[status(thm)],[c_285032,c_278917]) ).
tcf(c_285139,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_15,iPr_def_26),
inference(superposition,[status(thm)],[c_285032,c_271545]) ).
tcf(c_285140,plain,
multiply(iPr_def_21,multiply(sk_c7,iPr_def_26)) = multiply(sk_c6,iPr_def_15),
inference(superposition,[status(thm)],[c_285032,c_285079]) ).
tcf(c_285143,plain,
multiply(inverse(sk_c8),iPr_def_15) = multiply(sk_c7,iPr_def_26),
inference(superposition,[status(thm)],[c_285032,c_279714]) ).
tcf(c_285145,plain,
multiply(sk_c8,iPr_def_26) = multiply(iPr_def_15,iPr_def_15),
inference(superposition,[status(thm)],[c_285032,c_273010]) ).
tcf(c_285149,plain,
multiply(iPr_def_16,sk_c4) = multiply(iPr_def_24,iPr_def_26),
inference(superposition,[status(thm)],[c_285032,c_283646]) ).
tcf(c_285155,plain,
multiply(sk_c4,iPr_def_26) = multiply(sk_c2,iPr_def_24),
inference(superposition,[status(thm)],[c_285032,c_284244]) ).
tcf(c_285158,plain,
multiply(sk_c4,iPr_def_26) = sk_c4,
inference(light_normalisation,[status(thm)],[c_285155,c_284239]) ).
tcf(c_285160,plain,
multiply(sk_c8,iPr_def_26) = sk_c8,
inference(light_normalisation,[status(thm)],[c_285145,c_273007]) ).
tcf(c_285164,plain,
multiply(iPr_def_23,iPr_def_26) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_285136,c_635]) ).
tcf(c_285165,plain,
multiply(iPr_def_19,iPr_def_26) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_285135,c_631]) ).
tcf(c_285166,plain,
multiply(sk_c10,iPr_def_26) = sk_c10,
inference(light_normalisation,[status(thm)],[c_285134,c_272860]) ).
tcf(c_285167,plain,
multiply(sk_c7,iPr_def_26) = sk_c7,
inference(light_normalisation,[status(thm)],[c_285143,c_278210]) ).
tcf(c_285184,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_26 )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_271727,c_285029]) ).
tcf(c_285194,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_26 )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283141,c_285184]) ).
tcf(c_285195,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_26 )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283140,c_285184]) ).
tcf(c_285196,plain,
( ( iPr_def_16 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_26 )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283139,c_285184]) ).
tcf(c_285212,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_26 )
| ( inverse(inverse(iPr_def_16)) != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_271855,c_283004,c_285029]) ).
tcf(c_285223,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(sk_c4,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_635,c_277290]) ).
tcf(c_285224,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(sk_c8,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_631,c_277290]) ).
tcf(c_285225,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c7,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_278590,c_277290]) ).
tcf(c_285227,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_277290]) ).
tcf(c_285228,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c7,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_270192,c_277290]) ).
tcf(c_285229,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(sk_c7,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_270040,c_277290]) ).
tcf(c_285230,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_17,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_270191,c_277290]) ).
tcf(c_285231,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_17,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_270052,c_277290]) ).
tcf(c_285232,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_19),multiply(sk_c8,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_270295,c_277290]) ).
tcf(c_285233,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c4,multiply(iPr_def_22,X0))) = X0,
inference(superposition,[status(thm)],[c_284432,c_277290]) ).
tcf(c_285234,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c3,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_285030,c_277290]) ).
tcf(c_285235,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(sk_c2,multiply(iPr_def_24,X0))) = X0,
inference(superposition,[status(thm)],[c_284239,c_277290]) ).
tcf(c_285236,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),multiply(iPr_def_17,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_277016,c_277290]) ).
tcf(c_285237,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_17)),multiply(iPr_def_17,multiply(iPr_def_15,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_277015,c_277290]) ).
tcf(c_285238,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c1,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_284746,c_277290]) ).
tcf(c_285239,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c2,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_283144,c_277290]) ).
tcf(c_285240,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c3,multiply(iPr_def_16,X0))) = X0,
inference(superposition,[status(thm)],[c_283122,c_277290]) ).
tcf(c_285241,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(iPr_def_16,multiply(sk_c9,X0))) = X0,
inference(superposition,[status(thm)],[c_283148,c_277290]) ).
tcf(c_285242,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_23,X0)),multiply(sk_c4,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271542,c_277290]) ).
tcf(c_285243,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_19,X0)),multiply(sk_c8,multiply(multiply(sk_c10,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271544,c_277290]) ).
tcf(c_285244,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_15,X0)),multiply(sk_c7,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271545,c_277290]) ).
tcf(c_285245,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(inverse(X1),multiply(multiply(X1,X0),X2))) = X2,
inference(superposition,[status(thm)],[c_277266,c_277290]) ).
tcf(c_285246,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_24,multiply(multiply(sk_c3,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271566,c_277290]) ).
tcf(c_285247,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_22,multiply(multiply(sk_c4,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271565,c_277290]) ).
tcf(c_285248,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_17,multiply(multiply(sk_c6,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271562,c_277290]) ).
tcf(c_285249,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_27,multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271561,c_277290]) ).
tcf(c_285250,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_16,multiply(multiply(sk_c2,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271560,c_277290]) ).
tcf(c_285251,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c6,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_278914,c_277290]) ).
tcf(c_285252,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),multiply(sk_c6,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_278913,c_277290]) ).
tcf(c_285253,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_272837,c_277290]) ).
tcf(c_285254,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(X0),multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_272836,c_277290]) ).
tcf(c_285255,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(iPr_def_27,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_284719,c_277290]) ).
tcf(c_285256,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(iPr_def_27,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_284697,c_277290]) ).
tcf(c_285257,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(iPr_def_27,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_284683,c_277290]) ).
tcf(c_285258,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_16,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_284227,c_277290]) ).
tcf(c_285259,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(iPr_def_22,multiply(iPr_def_23,X0))) = X0,
inference(superposition,[status(thm)],[c_272860,c_277290]) ).
tcf(c_285260,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(iPr_def_22,multiply(multiply(iPr_def_23,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_272995,c_277290]) ).
tcf(c_285261,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_17,multiply(iPr_def_22,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_274042,c_277290]) ).
tcf(c_285262,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(iPr_def_27,multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_284747,c_277290]) ).
tcf(c_285263,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c3,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_278452,c_277290]) ).
tcf(c_285264,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c4,X0)),multiply(sk_c2,multiply(multiply(iPr_def_24,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_284244,c_277290]) ).
tcf(c_285265,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_14,X0)),multiply(sk_c1,multiply(multiply(iPr_def_16,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_284824,c_277290]) ).
tcf(c_285266,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(sk_c2,multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_284249,c_277290]) ).
tcf(c_285267,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c9)),multiply(sk_c3,multiply(iPr_def_14,X0))) = X0,
inference(superposition,[status(thm)],[c_276680,c_277290]) ).
tcf(c_285268,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_15,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_273007,c_277290]) ).
tcf(c_285269,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_15,multiply(multiply(sk_c7,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_271682,c_277290]) ).
tcf(c_285270,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_19)),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_279489,c_277290]) ).
tcf(c_285271,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_15,iPr_def_19)),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_279488,c_277290]) ).
tcf(c_285272,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,sk_c10)),multiply(sk_c7,multiply(iPr_def_19,X0))) = X0,
inference(superposition,[status(thm)],[c_275813,c_277290]) ).
tcf(c_285273,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(sk_c2,multiply(multiply(iPr_def_14,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_284470,c_277290]) ).
tcf(c_285274,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_17,multiply(iPr_def_21,X0))) = X0,
inference(superposition,[status(thm)],[c_273227,c_277290]) ).
tcf(c_285275,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_16,X0)),multiply(iPr_def_27,multiply(multiply(iPr_def_14,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_284835,c_277290]) ).
tcf(c_285276,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_15,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_273010,c_277290]) ).
tcf(c_285277,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(iPr_def_17,multiply(multiply(iPr_def_21,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_273230,c_277290]) ).
tcf(c_285278,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(inverse(sk_c8),multiply(iPr_def_19,X0))) = X0,
inference(superposition,[status(thm)],[c_277284,c_277290]) ).
tcf(c_285280,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,multiply(iPr_def_26,X1))) = X1,
inference(superposition,[status(thm)],[c_285032,c_277290]) ).
tcf(c_285281,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(sk_c7,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_285031,c_277290]) ).
tcf(c_285282,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(sk_c7,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_278383,c_277290]) ).
tcf(c_285283,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_279114,c_277290]) ).
tcf(c_285284,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_15,multiply(iPr_def_17,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_279055,c_277290]) ).
tcf(c_285285,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,sk_c10)),multiply(sk_c6,multiply(iPr_def_19,X0))) = X0,
inference(superposition,[status(thm)],[c_279317,c_277290]) ).
tcf(c_285286,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(sk_c6,multiply(sk_c8,X0))) = X0,
inference(superposition,[status(thm)],[c_278895,c_277290]) ).
tcf(c_285287,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_21,X0)),multiply(sk_c6,multiply(multiply(sk_c8,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_278917,c_277290]) ).
tcf(c_285288,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_15,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_278904,c_277290]) ).
tcf(c_285289,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_15,multiply(sk_c8,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_278903,c_277290]) ).
tcf(c_285290,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(iPr_def_24,multiply(iPr_def_22,X0))) = X0,
inference(superposition,[status(thm)],[c_283112,c_277290]) ).
tcf(c_285291,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,sk_c8)),multiply(sk_c8,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_276943,c_277290]) ).
tcf(c_285292,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c8,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_278126,c_277290]) ).
tcf(c_285293,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_21,multiply(sk_c7,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_282078,c_277290]) ).
tcf(c_285294,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c8),multiply(iPr_def_21,multiply(sk_c7,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_282075,c_277290]) ).
tcf(c_285295,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c7,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_278208,c_277290]) ).
tcf(c_285296,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,multiply(sk_c7,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_278207,c_277290]) ).
tcf(c_285297,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_16,multiply(sk_c4,X0))) = X0,
inference(superposition,[status(thm)],[c_283036,c_277290]) ).
tcf(c_285298,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,sk_c7)),multiply(sk_c6,multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_279332,c_277290]) ).
tcf(c_285299,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(inverse(sk_c8),multiply(iPr_def_15,X0))) = X0,
inference(superposition,[status(thm)],[c_278210,c_277290]) ).
tcf(c_285300,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c7,X0)),multiply(inverse(sk_c8),multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_279714,c_277290]) ).
tcf(c_285301,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_21,multiply(sk_c7,X0))),multiply(sk_c6,multiply(multiply(iPr_def_15,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_285079,c_277290]) ).
tcf(c_285302,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_24,X0)),multiply(iPr_def_16,multiply(multiply(sk_c4,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_283646,c_277290]) ).
tcf(c_285303,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_277290]) ).
tcf(c_285304,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c4,sk_c10)),multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_271542,c_277290]) ).
tcf(c_285305,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c8,sk_c10)),multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_271544,c_277290]) ).
tcf(c_285306,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_271545,c_277290]) ).
tcf(c_285307,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(X0),X0)),X1) = X1,
inference(superposition,[status(thm)],[c_277266,c_277290]) ).
tcf(c_285308,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_24,sk_c3)),X0) = X0,
inference(superposition,[status(thm)],[c_271566,c_277290]) ).
tcf(c_285309,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c4)),X0) = X0,
inference(superposition,[status(thm)],[c_271565,c_277290]) ).
tcf(c_285310,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,sk_c6)),X0) = X0,
inference(superposition,[status(thm)],[c_271562,c_277290]) ).
tcf(c_285311,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_27,sk_c1)),X0) = X0,
inference(superposition,[status(thm)],[c_271561,c_277290]) ).
tcf(c_285312,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c2)),X0) = X0,
inference(superposition,[status(thm)],[c_271560,c_277290]) ).
tcf(c_285313,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_17,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272837,c_277290]) ).
tcf(c_285314,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_17,iPr_def_15)),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272836,c_277290]) ).
tcf(c_285315,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,iPr_def_23)),multiply(sk_c10,X0)) = X0,
inference(superposition,[status(thm)],[c_272995,c_277290]) ).
tcf(c_285316,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c3,iPr_def_24)),X0) = X0,
inference(superposition,[status(thm)],[c_278452,c_277290]) ).
tcf(c_285317,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,iPr_def_24)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_284244,c_277290]) ).
tcf(c_285318,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c1,iPr_def_16)),multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_284824,c_277290]) ).
tcf(c_285319,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,sk_c7)),X0) = X0,
inference(superposition,[status(thm)],[c_271682,c_277290]) ).
tcf(c_285320,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c2,iPr_def_14)),multiply(sk_c9,X0)) = X0,
inference(superposition,[status(thm)],[c_284470,c_277290]) ).
tcf(c_285321,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_27,iPr_def_14)),multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_284835,c_277290]) ).
tcf(c_285322,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,iPr_def_15)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_273010,c_277290]) ).
tcf(c_285323,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_17,iPr_def_21)),multiply(sk_c8,X0)) = X0,
inference(superposition,[status(thm)],[c_273230,c_277290]) ).
tcf(c_285325,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c7,iPr_def_15)),X0) = X0,
inference(superposition,[status(thm)],[c_278383,c_277290]) ).
tcf(c_285326,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,sk_c8)),multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_278917,c_277290]) ).
tcf(c_285327,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(sk_c8),iPr_def_15)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_279714,c_277290]) ).
tcf(c_285328,plain,
! [X0: $i] : multiply(inverse(multiply(sk_c6,iPr_def_15)),multiply(iPr_def_21,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_285079,c_277290]) ).
tcf(c_285329,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,sk_c4)),multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_283646,c_277290]) ).
tcf(c_285330,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_635,c_277290]) ).
tcf(c_285331,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_19)) = sk_c10,
inference(superposition,[status(thm)],[c_631,c_277290]) ).
tcf(c_285332,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_15)) = sk_c8,
inference(superposition,[status(thm)],[c_278590,c_277290]) ).
tcf(c_285334,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_277290]) ).
tcf(c_285335,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_15)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270192,c_277290]) ).
tcf(c_285336,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_15)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270040,c_277290]) ).
tcf(c_285337,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270191,c_277290]) ).
tcf(c_285338,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270052,c_277290]) ).
tcf(c_285339,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_19)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270295,c_277290]) ).
tcf(c_285340,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,iPr_def_26)) = iPr_def_22,
inference(superposition,[status(thm)],[c_284432,c_277290]) ).
tcf(c_285341,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_26)) = iPr_def_24,
inference(superposition,[status(thm)],[c_285030,c_277290]) ).
tcf(c_285342,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sk_c4)) = iPr_def_24,
inference(superposition,[status(thm)],[c_284239,c_277290]) ).
tcf(c_285343,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,multiply(iPr_def_15,iPr_def_17))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_277016,c_277290]) ).
tcf(c_285344,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,multiply(iPr_def_15,iPr_def_17))) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_277015,c_277290]) ).
tcf(c_285345,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,iPr_def_14)) = iPr_def_16,
inference(superposition,[status(thm)],[c_284746,c_277290]) ).
tcf(c_285346,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,iPr_def_26)) = iPr_def_16,
inference(superposition,[status(thm)],[c_283144,c_277290]) ).
tcf(c_285347,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,iPr_def_22)) = iPr_def_16,
inference(superposition,[status(thm)],[c_283122,c_277290]) ).
tcf(c_285348,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_283148,c_277290]) ).
tcf(c_285349,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(X0,multiply(iPr_def_23,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_271542,c_277290]) ).
tcf(c_285350,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_19,X1))) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_271544,c_277290]) ).
tcf(c_285351,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_271545,c_277290]) ).
tcf(c_285352,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_277266,c_277290]) ).
tcf(c_285353,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,X1)) = multiply(sk_c3,X1),
inference(superposition,[status(thm)],[c_271566,c_277290]) ).
tcf(c_285354,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,X1)) = multiply(sk_c4,X1),
inference(superposition,[status(thm)],[c_271565,c_277290]) ).
tcf(c_285355,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = multiply(sk_c6,X1),
inference(superposition,[status(thm)],[c_271562,c_277290]) ).
tcf(c_285356,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,X1)) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_271561,c_277290]) ).
tcf(c_285357,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,X1)) = multiply(sk_c2,X1),
inference(superposition,[status(thm)],[c_271560,c_277290]) ).
tcf(c_285358,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_21)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278914,c_277290]) ).
tcf(c_285359,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_21)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_278913,c_277290]) ).
tcf(c_285360,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_272837,c_277290]) ).
tcf(c_285361,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,X1)) = multiply(iPr_def_15,X1) ) ),
inference(superposition,[status(thm)],[c_272836,c_277290]) ).
tcf(c_285362,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(iPr_def_16,iPr_def_23))) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284719,c_277290]) ).
tcf(c_285363,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(iPr_def_16,iPr_def_23))) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284697,c_277290]) ).
tcf(c_285364,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(iPr_def_16,iPr_def_23))) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284683,c_277290]) ).
tcf(c_285365,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_14)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284227,c_277290]) ).
tcf(c_285366,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,sk_c10)) = iPr_def_23,
inference(superposition,[status(thm)],[c_272860,c_277290]) ).
tcf(c_285367,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,multiply(sk_c10,X1))) = multiply(iPr_def_23,X1),
inference(superposition,[status(thm)],[c_272995,c_277290]) ).
tcf(c_285368,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_19)) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_274042,c_277290]) ).
tcf(c_285369,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_16)) = iPr_def_14,
inference(superposition,[status(thm)],[c_284747,c_277290]) ).
tcf(c_285370,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,X1)) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_278452,c_277290]) ).
tcf(c_285371,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(sk_c4,X1))) = multiply(iPr_def_24,X1),
inference(superposition,[status(thm)],[c_284244,c_277290]) ).
tcf(c_285372,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c1)),multiply(X0,multiply(iPr_def_14,X1))) = multiply(iPr_def_16,X1),
inference(superposition,[status(thm)],[c_284824,c_277290]) ).
tcf(c_285373,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_284249,c_277290]) ).
tcf(c_285374,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),multiply(X0,multiply(iPr_def_22,sk_c9))) = iPr_def_14,
inference(superposition,[status(thm)],[c_276680,c_277290]) ).
tcf(c_285375,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,sk_c8)) = iPr_def_15,
inference(superposition,[status(thm)],[c_273007,c_277290]) ).
tcf(c_285376,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,X1)) = multiply(sk_c7,X1),
inference(superposition,[status(thm)],[c_271682,c_277290]) ).
tcf(c_285377,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_15,iPr_def_19))) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_279489,c_277290]) ).
tcf(c_285378,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,multiply(iPr_def_15,iPr_def_19))) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_279488,c_277290]) ).
tcf(c_285379,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_15,sk_c10))) = iPr_def_19,
inference(superposition,[status(thm)],[c_275813,c_277290]) ).
tcf(c_285380,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,multiply(sk_c9,X1))) = multiply(iPr_def_14,X1),
inference(superposition,[status(thm)],[c_284470,c_277290]) ).
tcf(c_285381,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,sk_c8)) = iPr_def_21,
inference(superposition,[status(thm)],[c_273227,c_277290]) ).
tcf(c_285382,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,multiply(iPr_def_16,X1))) = multiply(iPr_def_14,X1),
inference(superposition,[status(thm)],[c_284835,c_277290]) ).
tcf(c_285383,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_273010,c_277290]) ).
tcf(c_285384,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,multiply(sk_c8,X1))) = multiply(iPr_def_21,X1),
inference(superposition,[status(thm)],[c_273230,c_277290]) ).
tcf(c_285385,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_277284,c_277290]) ).
tcf(c_285387,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,X1)) = iPr_def_26,
inference(superposition,[status(thm)],[c_285032,c_277290]) ).
tcf(c_285388,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,iPr_def_26)) = iPr_def_15,
inference(superposition,[status(thm)],[c_285031,c_277290]) ).
tcf(c_285389,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c7)),multiply(X0,X1)) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_278383,c_277290]) ).
tcf(c_285390,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_21)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279114,c_277290]) ).
tcf(c_285391,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_21)) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_279055,c_277290]) ).
tcf(c_285392,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_21,sk_c10))) = iPr_def_19,
inference(superposition,[status(thm)],[c_279317,c_277290]) ).
tcf(c_285393,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_21)) = sk_c8,
inference(superposition,[status(thm)],[c_278895,c_277290]) ).
tcf(c_285394,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_21,X1))) = multiply(sk_c8,X1),
inference(superposition,[status(thm)],[c_278917,c_277290]) ).
tcf(c_285395,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_21)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278904,c_277290]) ).
tcf(c_285396,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_21)) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_278903,c_277290]) ).
tcf(c_285397,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_16)) = iPr_def_22,
inference(superposition,[status(thm)],[c_283112,c_277290]) ).
tcf(c_285398,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,multiply(iPr_def_15,sk_c8))) = iPr_def_15,
inference(superposition,[status(thm)],[c_276943,c_277290]) ).
tcf(c_285399,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(X0,iPr_def_15)) = sk_c7,
inference(superposition,[status(thm)],[c_278126,c_277290]) ).
tcf(c_285400,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,sk_c8)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_282078,c_277290]) ).
tcf(c_285401,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_21)),multiply(X0,sk_c8)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_282075,c_277290]) ).
tcf(c_285402,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_278208,c_277290]) ).
tcf(c_285403,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_15)) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_278207,c_277290]) ).
tcf(c_285404,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_24)) = sk_c4,
inference(superposition,[status(thm)],[c_283036,c_277290]) ).
tcf(c_285405,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_21,sk_c7))) = iPr_def_15,
inference(superposition,[status(thm)],[c_279332,c_277290]) ).
tcf(c_285406,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,sk_c7)) = iPr_def_15,
inference(superposition,[status(thm)],[c_278210,c_277290]) ).
tcf(c_285407,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(sk_c8))),multiply(X0,multiply(sk_c7,X1))) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_279714,c_277290]) ).
tcf(c_285408,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,multiply(iPr_def_21,multiply(sk_c7,X1)))) = multiply(iPr_def_15,X1),
inference(superposition,[status(thm)],[c_285079,c_277290]) ).
tcf(c_285409,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_24,X1))) = multiply(sk_c4,X1),
inference(superposition,[status(thm)],[c_283646,c_277290]) ).
tcf(c_285410,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_277290,c_277290]) ).
tcf(c_285411,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(inverse(multiply(X0,X1))),X2) = multiply(X0,multiply(X1,X2)),
inference(superposition,[status(thm)],[c_277290,c_277266]) ).
tcf(c_285412,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_277290,c_105]) ).
tcf(c_285413,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_277290,c_277290]) ).
tcf(c_285414,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),X2) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_277290,c_277290]) ).
tcf(c_285424,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c7)),X0) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_285388,c_285032]) ).
tcf(c_285425,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_285346,c_285032]) ).
tcf(c_285426,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c3)),X0) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_285341,c_285032]) ).
tcf(c_285427,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c4)),X0) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_285340,c_285032]) ).
tcf(c_285428,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(iPr_def_24,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285329,c_283036]) ).
tcf(c_285429,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),multiply(iPr_def_21,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285326,c_278895]) ).
tcf(c_285432,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(iPr_def_16,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285321,c_284747]) ).
tcf(c_285433,plain,
! [X0: $i] : multiply(inverse(sk_c9),multiply(sk_c9,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285320,c_284249]) ).
tcf(c_285434,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(iPr_def_14,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285318,c_284746]) ).
tcf(c_285436,plain,
! [X0: $i] : multiply(inverse(sk_c10),multiply(sk_c10,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285315,c_272860]) ).
tcf(c_285437,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(iPr_def_15,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285306,c_278590]) ).
tcf(c_285438,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),multiply(iPr_def_19,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285305,c_631]) ).
tcf(c_285439,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),multiply(iPr_def_23,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_285304,c_635]) ).
tcf(c_285463,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,sk_c7)),multiply(iPr_def_21,multiply(sk_c7,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_285328,c_279332]) ).
tcf(c_285469,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,sk_c8)),multiply(iPr_def_15,multiply(sk_c8,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_285291,c_276948]) ).
tcf(c_285470,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_21,sk_c10)),multiply(iPr_def_21,multiply(sk_c10,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_285285,c_279329]) ).
tcf(c_285471,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_15,sk_c10)),multiply(iPr_def_15,multiply(sk_c10,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_285272,c_275824]) ).
tcf(c_285472,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_22,sk_c9)),multiply(iPr_def_22,multiply(sk_c9,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_285267,c_276690]) ).
tcf(c_285507,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_285302,c_283962]) ).
tcf(c_285520,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_21,X0)),multiply(multiply(iPr_def_21,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285287,c_279344]) ).
tcf(c_285525,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c8,X0)),multiply(multiply(sk_c8,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285277,c_277000]) ).
tcf(c_285527,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_285275,c_284966]) ).
tcf(c_285528,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c9,X0)),multiply(multiply(sk_c9,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285273,c_284550]) ).
tcf(c_285529,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_285265,c_284941]) ).
tcf(c_285530,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c4,X0)),multiply(multiply(sk_c4,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285264,c_284430]) ).
tcf(c_285533,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c10,X0)),multiply(multiply(sk_c10,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285260,c_276942]) ).
tcf(c_285540,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_285244,c_275835]) ).
tcf(c_285541,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_19,X0)),multiply(multiply(iPr_def_19,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285243,c_275786]) ).
tcf(c_285542,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_23,X0)),multiply(multiply(iPr_def_23,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285242,c_275617]) ).
tcf(c_285553,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c7,X0)),multiply(multiply(sk_c7,X0),X1)) = X1,
inference(light_normalisation,[status(thm)],[c_285300,c_279776]) ).
tcf(c_285918,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c4))),multiply(multiply(X0,X1),iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_105,c_285330]) ).
tcf(c_285919,plain,
multiply(inverse(iPr_def_24),multiply(iPr_def_16,iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_283036,c_285330]) ).
tcf(c_285920,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,X1),sk_c4)),multiply(X0,multiply(X1,iPr_def_23))) = sk_c10,
inference(superposition,[status(thm)],[c_105,c_285330]) ).
tcf(c_285921,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_284719,c_285330]) ).
tcf(c_285922,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_284697,c_285330]) ).
tcf(c_285923,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_27,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_284683,c_285330]) ).
tcf(c_285924,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c4)),iPr_def_14) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_284227,c_285330]) ).
tcf(c_285925,plain,
multiply(inverse(multiply(iPr_def_22,sk_c4)),sk_c10) = sk_c10,
inference(superposition,[status(thm)],[c_272860,c_285330]) ).
tcf(c_285926,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c10),multiply(inverse(multiply(X0,sk_c4)),multiply(multiply(X0,iPr_def_23),X1))) = X1,
inference(superposition,[status(thm)],[c_285330,c_277290]) ).
tcf(c_285927,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c4))),sk_c10) = multiply(X0,iPr_def_23),
inference(superposition,[status(thm)],[c_285330,c_277266]) ).
tcf(c_285928,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c4)),multiply(multiply(X0,iPr_def_23),X1)) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_285330,c_105]) ).
tcf(c_285929,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c4)))),multiply(X0,sk_c10)) = multiply(X1,iPr_def_23),
inference(superposition,[status(thm)],[c_285330,c_277290]) ).
tcf(c_285930,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c4)),X0)),sk_c10) = iPr_def_23,
inference(superposition,[status(thm)],[c_285330,c_277290]) ).
tcf(c_285931,plain,
multiply(iPr_def_26,sk_c10) = sk_c10,
inference(light_normalisation,[status(thm)],[c_285925,c_285039,c_285043]) ).
tcf(c_285933,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_24),iPr_def_14) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_285924,c_283036]) ).
tcf(c_285987,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_15,multiply(sk_c7,X0))) = X0,
inference(superposition,[status(thm)],[c_285035,c_277290]) ).
tcf(c_285988,plain,
multiply(inverse(iPr_def_15),iPr_def_26) = sk_c7,
inference(superposition,[status(thm)],[c_285035,c_277266]) ).
tcf(c_285989,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c7,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285035,c_105]) ).
tcf(c_285990,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),multiply(X0,iPr_def_26)) = sk_c7,
inference(superposition,[status(thm)],[c_285035,c_277290]) ).
tcf(c_285991,plain,
multiply(iPr_def_21,multiply(sk_c7,sk_c7)) = multiply(sk_c6,iPr_def_26),
inference(superposition,[status(thm)],[c_285035,c_285079]) ).
tcf(c_285992,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_26) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_285035,c_272837]) ).
tcf(c_285993,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_26) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_285035,c_272836]) ).
tcf(c_285994,plain,
multiply(inverse(sk_c8),iPr_def_26) = multiply(sk_c7,sk_c7),
inference(superposition,[status(thm)],[c_285035,c_279714]) ).
tcf(c_285996,plain,
multiply(sk_c8,sk_c7) = multiply(iPr_def_15,iPr_def_26),
inference(superposition,[status(thm)],[c_285035,c_273010]) ).
tcf(c_286003,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_15)),X0) = sk_c7,
inference(light_normalisation,[status(thm)],[c_285990,c_285032]) ).
tcf(c_286084,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_16,multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_285036,c_277290]) ).
tcf(c_286085,plain,
multiply(inverse(iPr_def_16),iPr_def_26) = sk_c2,
inference(superposition,[status(thm)],[c_285036,c_277266]) ).
tcf(c_286086,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285036,c_105]) ).
tcf(c_286087,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,iPr_def_26)) = sk_c2,
inference(superposition,[status(thm)],[c_285036,c_277290]) ).
tcf(c_286088,plain,
multiply(sk_c1,iPr_def_26) = multiply(iPr_def_14,sk_c2),
inference(superposition,[status(thm)],[c_285036,c_284824]) ).
tcf(c_286090,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_16)),X0) = sk_c2,
inference(light_normalisation,[status(thm)],[c_286087,c_285032]) ).
tcf(c_286092,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,sk_c1) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283136,c_285037]) ).
tcf(c_286093,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c1) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283135,c_285037]) ).
tcf(c_286094,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c1) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283132,c_285037]) ).
tcf(c_286095,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c1) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_281249,c_285037]) ).
tcf(c_286096,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_16,sk_c1) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280980,c_285037]) ).
tcf(c_286097,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c1) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_280434,c_285037]) ).
tcf(c_286098,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_27,multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_285037,c_277290]) ).
tcf(c_286099,plain,
multiply(inverse(iPr_def_27),iPr_def_26) = sk_c1,
inference(superposition,[status(thm)],[c_285037,c_277266]) ).
tcf(c_286100,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285037,c_105]) ).
tcf(c_286101,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),multiply(X0,iPr_def_26)) = sk_c1,
inference(superposition,[status(thm)],[c_285037,c_277290]) ).
tcf(c_286115,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_27)),X0) = sk_c1,
inference(light_normalisation,[status(thm)],[c_286101,c_285032]) ).
tcf(c_286164,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_15) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283138,c_285038]) ).
tcf(c_286169,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_17,multiply(sk_c6,X0))) = X0,
inference(superposition,[status(thm)],[c_285038,c_277290]) ).
tcf(c_286170,plain,
multiply(inverse(iPr_def_17),iPr_def_26) = sk_c6,
inference(superposition,[status(thm)],[c_285038,c_277266]) ).
tcf(c_286171,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c6,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285038,c_105]) ).
tcf(c_286172,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_26)) = sk_c6,
inference(superposition,[status(thm)],[c_285038,c_277290]) ).
tcf(c_286176,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_17)),X0) = sk_c6,
inference(light_normalisation,[status(thm)],[c_286172,c_285032]) ).
tcf(c_286196,plain,
multiply(inverse(iPr_def_15),multiply(sk_c7,iPr_def_19)) = sk_c10,
inference(superposition,[status(thm)],[c_278590,c_285331]) ).
tcf(c_286198,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,multiply(X1,sk_c8))),multiply(multiply(X0,X1),iPr_def_19)) = sk_c10,
inference(superposition,[status(thm)],[c_105,c_285331]) ).
tcf(c_286199,plain,
multiply(inverse(iPr_def_21),multiply(sk_c6,iPr_def_19)) = sk_c10,
inference(superposition,[status(thm)],[c_278895,c_285331]) ).
tcf(c_286202,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_283137,c_285331]) ).
tcf(c_286207,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(multiply(X0,X1),sk_c8)),multiply(X0,multiply(X1,iPr_def_19))) = sk_c10,
inference(superposition,[status(thm)],[c_105,c_285331]) ).
tcf(c_286208,plain,
multiply(inverse(multiply(sk_c7,sk_c8)),multiply(iPr_def_15,sk_c10)) = sk_c10,
inference(superposition,[status(thm)],[c_275813,c_285331]) ).
tcf(c_286209,plain,
multiply(inverse(multiply(inverse(sk_c8),sk_c8)),sk_c10) = sk_c10,
inference(superposition,[status(thm)],[c_277284,c_285331]) ).
tcf(c_286210,plain,
multiply(inverse(multiply(sk_c6,sk_c8)),multiply(iPr_def_21,sk_c10)) = sk_c10,
inference(superposition,[status(thm)],[c_279317,c_285331]) ).
tcf(c_286211,plain,
! [X0: $i,X1: $i] : multiply(inverse(sk_c10),multiply(inverse(multiply(X0,sk_c8)),multiply(multiply(X0,iPr_def_19),X1))) = X1,
inference(superposition,[status(thm)],[c_285331,c_277290]) ).
tcf(c_286212,plain,
! [X0: $i] : multiply(inverse(inverse(multiply(X0,sk_c8))),sk_c10) = multiply(X0,iPr_def_19),
inference(superposition,[status(thm)],[c_285331,c_277266]) ).
tcf(c_286213,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,sk_c8)),multiply(multiply(X0,iPr_def_19),X1)) = multiply(sk_c10,X1),
inference(superposition,[status(thm)],[c_285331,c_105]) ).
tcf(c_286214,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(multiply(X1,sk_c8)))),multiply(X0,sk_c10)) = multiply(X1,iPr_def_19),
inference(superposition,[status(thm)],[c_285331,c_277290]) ).
tcf(c_286215,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(multiply(X0,sk_c8)),X0)),sk_c10) = iPr_def_19,
inference(superposition,[status(thm)],[c_285331,c_277290]) ).
tcf(c_286216,plain,
multiply(inverse(iPr_def_21),multiply(iPr_def_21,sk_c10)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_286199,c_279317]) ).
tcf(c_286217,plain,
multiply(inverse(iPr_def_15),multiply(iPr_def_15,sk_c10)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_286196,c_275813]) ).
tcf(c_286302,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_22,multiply(sk_c4,X0))) = X0,
inference(superposition,[status(thm)],[c_285039,c_277290]) ).
tcf(c_286303,plain,
multiply(inverse(iPr_def_22),iPr_def_26) = sk_c4,
inference(superposition,[status(thm)],[c_285039,c_277266]) ).
tcf(c_286304,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285039,c_105]) ).
tcf(c_286305,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),multiply(X0,iPr_def_26)) = sk_c4,
inference(superposition,[status(thm)],[c_285039,c_277290]) ).
tcf(c_286306,plain,
multiply(inverse(iPr_def_26),multiply(iPr_def_22,iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_285039,c_285330]) ).
tcf(c_286309,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_22)),X0) = sk_c4,
inference(light_normalisation,[status(thm)],[c_286305,c_285032]) ).
tcf(c_286311,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),multiply(iPr_def_24,multiply(sk_c3,X0))) = X0,
inference(superposition,[status(thm)],[c_285040,c_277290]) ).
tcf(c_286312,plain,
multiply(inverse(iPr_def_24),iPr_def_26) = sk_c3,
inference(superposition,[status(thm)],[c_285040,c_277266]) ).
tcf(c_286313,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_285040,c_105]) ).
tcf(c_286314,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,iPr_def_26)) = sk_c3,
inference(superposition,[status(thm)],[c_285040,c_277290]) ).
tcf(c_286315,plain,
multiply(sk_c4,sk_c3) = multiply(sk_c2,iPr_def_26),
inference(superposition,[status(thm)],[c_285040,c_284244]) ).
tcf(c_286316,plain,
multiply(sk_c3,iPr_def_26) = sk_c3,
inference(superposition,[status(thm)],[c_285040,c_278452]) ).
tcf(c_286318,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),X0) = sk_c3,
inference(light_normalisation,[status(thm)],[c_286314,c_285032]) ).
tcf(c_286320,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(iPr_def_26,multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_285042,c_277290]) ).
tcf(c_286321,plain,
! [X0: $i] : multiply(inverse(iPr_def_26),X0) = X0,
inference(superposition,[status(thm)],[c_285042,c_277266]) ).
tcf(c_286323,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,iPr_def_26)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_285042,c_277290]) ).
tcf(c_286324,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(iPr_def_26,X0)),multiply(X0,X1)) = X1,
inference(superposition,[status(thm)],[c_285042,c_277290]) ).
tcf(c_286325,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_26) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_285042,c_644]) ).
tcf(c_286326,plain,
multiply(inverse(multiply(iPr_def_26,sk_c8)),iPr_def_19) = sk_c10,
inference(superposition,[status(thm)],[c_285042,c_285331]) ).
tcf(c_286327,plain,
multiply(inverse(multiply(iPr_def_26,sk_c4)),iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_285042,c_285330]) ).
tcf(c_286328,plain,
multiply(inverse(sk_c4),multiply(iPr_def_26,iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_285042,c_285330]) ).
tcf(c_286329,plain,
multiply(inverse(sk_c8),multiply(iPr_def_26,iPr_def_19)) = sk_c10,
inference(superposition,[status(thm)],[c_285042,c_285331]) ).
tcf(c_286331,plain,
multiply(iPr_def_22,multiply(iPr_def_26,iPr_def_23)) = sk_c10,
inference(light_normalisation,[status(thm)],[c_286328,c_634]) ).
tcf(c_286334,plain,
( ~ iPr_def_12
| ( sk_c10 != iPr_def_26 )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_286325,c_285043]) ).
tcf(c_286359,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_273488,c_283004,c_284741]) ).
tcf(c_286360,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_273490,c_283004,c_284741]) ).
tcf(c_286361,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_273491,c_283004,c_284741]) ).
tcf(c_286369,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_273374,c_283004,c_285042]) ).
tcf(c_286383,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_16,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_286369,c_277290]) ).
tcf(c_286384,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286369,c_277266]) ).
tcf(c_286385,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(iPr_def_16,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_286369,c_105]) ).
tcf(c_286386,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_286369,c_277290]) ).
tcf(c_286387,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_286369,c_277290]) ).
tcf(c_286388,plain,
( ( iPr_def_16 = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(iPr_def_16) != sk_c10 )
| ( multiply(iPr_def_14,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_286369,c_644]) ).
tcf(c_286389,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c2) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_286369,c_285036]) ).
tcf(c_286390,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_286369,c_283148]) ).
tcf(c_286391,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286369,c_271560]) ).
tcf(c_286392,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c8)),multiply(iPr_def_14,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286369,c_285331]) ).
tcf(c_286394,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_286369,c_284824]) ).
tcf(c_286395,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c4)),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286369,c_285330]) ).
tcf(c_286396,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_286369,c_285032]) ).
tcf(c_286397,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286369,c_285330]) ).
tcf(c_286398,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(iPr_def_16,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286369,c_285331]) ).
tcf(c_286399,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_286369,c_283036]) ).
tcf(c_286400,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_286369,c_283646]) ).
tcf(c_286409,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_286391,c_284934]) ).
tcf(c_286416,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286394,c_275916,c_284741]) ).
tcf(c_286423,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_286395,c_283036]) ).
tcf(c_286468,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_273405,c_283004,c_285042]) ).
tcf(c_286482,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_16,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_286468,c_277290]) ).
tcf(c_286483,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286468,c_277266]) ).
tcf(c_286484,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(iPr_def_16,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_286468,c_105]) ).
tcf(c_286485,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_286468,c_277290]) ).
tcf(c_286486,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_286468,c_277290]) ).
tcf(c_286487,plain,
( ( iPr_def_16 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(iPr_def_16) != sk_c10 )
| ( multiply(iPr_def_14,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_286468,c_644]) ).
tcf(c_286488,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,sk_c2) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_286468,c_285036]) ).
tcf(c_286489,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_286468,c_283148]) ).
tcf(c_286490,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286468,c_271560]) ).
tcf(c_286491,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c8)),multiply(iPr_def_14,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286468,c_285331]) ).
tcf(c_286493,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_286468,c_284824]) ).
tcf(c_286494,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c4)),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286468,c_285330]) ).
tcf(c_286495,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_286468,c_285032]) ).
tcf(c_286496,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286468,c_285330]) ).
tcf(c_286497,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(iPr_def_16,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_286468,c_285331]) ).
tcf(c_286498,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_286468,c_283036]) ).
tcf(c_286499,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_286468,c_283646]) ).
tcf(c_286508,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_286490,c_284934]) ).
tcf(c_286515,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286493,c_275916,c_284741]) ).
tcf(c_286522,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_286494,c_283036]) ).
tcf(c_286636,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_26) = multiply(iPr_def_15,sk_c6) ) ),
inference(superposition,[status(thm)],[c_285038,c_273454]) ).
tcf(c_286637,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_15,iPr_def_17)) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_277016,c_273454]) ).
tcf(c_286638,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,multiply(iPr_def_15,iPr_def_17)) = multiply(iPr_def_15,iPr_def_15) ) ),
inference(superposition,[status(thm)],[c_277015,c_273454]) ).
tcf(c_286639,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(sk_c6,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_271562,c_273454]) ).
tcf(c_286640,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_272837,c_273454]) ).
tcf(c_286641,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_272836,c_273454]) ).
tcf(c_286643,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,sk_c8) = multiply(iPr_def_15,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_273227,c_273454]) ).
tcf(c_286644,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,multiply(sk_c8,X0)) = multiply(iPr_def_15,multiply(iPr_def_21,X0)) ) ),
inference(superposition,[status(thm)],[c_273230,c_273454]) ).
tcf(c_286645,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_17) = multiply(iPr_def_15,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_285032,c_273454]) ).
tcf(c_286646,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_15) = multiply(iPr_def_15,sk_c7) ) ),
inference(superposition,[status(thm)],[c_278208,c_273454]) ).
tcf(c_286647,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_15) = multiply(iPr_def_15,sk_c7) ) ),
inference(superposition,[status(thm)],[c_278207,c_273454]) ).
tcf(c_286648,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_15,X0)),multiply(sk_c7,multiply(multiply(iPr_def_17,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_273454,c_277290]) ).
tcf(c_286649,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_273454,c_277266]) ).
tcf(c_286650,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_17,X0),X1)) = multiply(multiply(iPr_def_15,X0),X1) ) ),
inference(superposition,[status(thm)],[c_273454,c_105]) ).
tcf(c_286651,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,sk_c7)),multiply(X0,multiply(iPr_def_15,X1))) = multiply(iPr_def_17,X1) ) ),
inference(superposition,[status(thm)],[c_273454,c_277290]) ).
tcf(c_286652,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(sk_c7,iPr_def_17)),multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_273454,c_277290]) ).
tcf(c_286653,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_15,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_273454,c_271682]) ).
tcf(c_286657,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_21) = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_286643,c_278590]) ).
tcf(c_286662,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286653,c_273010]) ).
tcf(c_286665,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c8,X0) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286640,c_273010]) ).
tcf(c_286670,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_15,iPr_def_17)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_286637,c_273007]) ).
tcf(c_286677,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_21,X0)) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286644,c_271545]) ).
tcf(c_286682,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,X0) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286641,c_273010]) ).
tcf(c_286686,plain,
( ( sk_c9 = iPr_def_26 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,multiply(iPr_def_15,iPr_def_17)) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_286638,c_273007]) ).
tcf(c_286773,plain,
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c10) = multiply(iPr_def_19,iPr_def_26) ) ),
inference(superposition,[status(thm)],[c_285032,c_273498]) ).
tcf(c_286777,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283134,c_273498]) ).
tcf(c_286780,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_19,X0)),multiply(iPr_def_17,multiply(multiply(sk_c10,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_273498,c_277290]) ).
tcf(c_286781,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_19,X0)) = multiply(sk_c10,X0) ) ),
inference(superposition,[status(thm)],[c_273498,c_277266]) ).
tcf(c_286782,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(multiply(sk_c10,X0),X1)) = multiply(multiply(iPr_def_19,X0),X1) ) ),
inference(superposition,[status(thm)],[c_273498,c_105]) ).
tcf(c_286783,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(X0,iPr_def_17)),multiply(X0,multiply(iPr_def_19,X1))) = multiply(sk_c10,X1) ) ),
inference(superposition,[status(thm)],[c_273498,c_277290]) ).
tcf(c_286784,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(inverse(multiply(iPr_def_17,sk_c10)),multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_273498,c_277290]) ).
tcf(c_286822,plain,
( ( iPr_def_16 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283133,c_284748]) ).
tcf(c_286863,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_26),multiply(inverse(X0),multiply(X0,X1))) = X1,
inference(superposition,[status(thm)],[c_285041,c_277290]) ).
tcf(c_286864,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),iPr_def_26) = X0,
inference(superposition,[status(thm)],[c_285041,c_277266]) ).
tcf(c_286865,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(iPr_def_26,X1),
inference(superposition,[status(thm)],[c_285041,c_105]) ).
tcf(c_286866,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,iPr_def_26)) = X1,
inference(superposition,[status(thm)],[c_285041,c_277290]) ).
tcf(c_286867,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(inverse(multiply(X0,X1)),X0)),iPr_def_26) = X1,
inference(superposition,[status(thm)],[c_285041,c_277290]) ).
tcf(c_286869,plain,
multiply(inverse(multiply(inverse(iPr_def_19),sk_c8)),iPr_def_26) = sk_c10,
inference(superposition,[status(thm)],[c_285041,c_285331]) ).
tcf(c_286870,plain,
multiply(inverse(multiply(inverse(iPr_def_23),sk_c4)),iPr_def_26) = sk_c10,
inference(superposition,[status(thm)],[c_285041,c_285330]) ).
tcf(c_286872,plain,
multiply(inverse(iPr_def_26),multiply(inverse(sk_c4),iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_285041,c_285330]) ).
tcf(c_286873,plain,
multiply(inverse(iPr_def_26),multiply(inverse(sk_c8),iPr_def_19)) = sk_c10,
inference(superposition,[status(thm)],[c_285041,c_285331]) ).
tcf(c_286877,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(X1))),X0) = X1,
inference(light_normalisation,[status(thm)],[c_286866,c_285032]) ).
tcf(c_286892,plain,
multiply(iPr_def_14,sk_c2) = sk_c1,
inference(demodulation,[status(thm)],[c_286099,c_277402,c_286088]) ).
tcf(c_286893,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_14,multiply(sk_c2,X0))) = X0,
inference(superposition,[status(thm)],[c_286892,c_277290]) ).
tcf(c_286894,plain,
multiply(inverse(iPr_def_14),sk_c1) = sk_c2,
inference(superposition,[status(thm)],[c_286892,c_277266]) ).
tcf(c_286896,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,sk_c1)) = sk_c2,
inference(superposition,[status(thm)],[c_286892,c_277290]) ).
tcf(c_286897,plain,
multiply(iPr_def_16,sk_c2) = multiply(iPr_def_27,sk_c1),
inference(superposition,[status(thm)],[c_286892,c_284835]) ).
tcf(c_286898,plain,
multiply(sk_c9,sk_c2) = multiply(sk_c2,sk_c1),
inference(superposition,[status(thm)],[c_286892,c_284470]) ).
tcf(c_286927,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(inverse(iPr_def_14),multiply(sk_c1,X0))) = X0,
inference(superposition,[status(thm)],[c_286894,c_277290]) ).
tcf(c_286928,plain,
multiply(inverse(inverse(iPr_def_14)),sk_c2) = sk_c1,
inference(superposition,[status(thm)],[c_286894,c_277266]) ).
tcf(c_286929,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c1,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_286894,c_105]) ).
tcf(c_286930,plain,
! [X0: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_14))),multiply(X0,sk_c2)) = sk_c1,
inference(superposition,[status(thm)],[c_286894,c_277290]) ).
tcf(c_286931,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(inverse(iPr_def_14),multiply(sk_c1,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_286927,c_628]) ).
tcf(c_286951,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_273377,c_157,c_703,c_641,c_1923,c_3630,c_3626,c_5726,c_7208,c_8981,c_9129,c_9495,c_9901,c_10154,c_13842,c_15641,c_17316,c_18396,c_23635,c_26871,c_29638,c_34642,c_58137,c_61484,c_75138,c_91724,c_91903,c_92369,c_119050,c_140527,c_140528,c_270314,c_270398,c_270927,c_270928,c_276205,c_276414,c_276503,c_284740]) ).
tcf(c_286953,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_286951,c_283004]) ).
tcf(c_286964,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_286953,c_273230]) ).
tcf(c_286965,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_19) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_286953,c_273227]) ).
tcf(c_286971,plain,
multiply(inverse(iPr_def_14),iPr_def_14) = multiply(sk_c2,iPr_def_16),
inference(superposition,[status(thm)],[c_284746,c_286929]) ).
tcf(c_286972,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(iPr_def_14,X0)) = multiply(sk_c2,multiply(iPr_def_16,X0)),
inference(superposition,[status(thm)],[c_284824,c_286929]) ).
tcf(c_286973,plain,
multiply(inverse(iPr_def_14),sk_c1) = multiply(sk_c2,iPr_def_26),
inference(superposition,[status(thm)],[c_285032,c_286929]) ).
tcf(c_286974,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(sk_c2,X0)),multiply(inverse(iPr_def_14),multiply(multiply(sk_c1,X0),X1))) = X1,
inference(superposition,[status(thm)],[c_286929,c_277290]) ).
tcf(c_286975,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_14)),multiply(sk_c2,X0)) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_286929,c_277266]) ).
tcf(c_286976,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_14),multiply(multiply(sk_c1,X0),X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_286929,c_105]) ).
tcf(c_286977,plain,
! [X0: $i,X1: $i] : multiply(inverse(multiply(X0,inverse(iPr_def_14))),multiply(X0,multiply(sk_c2,X1))) = multiply(sk_c1,X1),
inference(superposition,[status(thm)],[c_286929,c_277290]) ).
tcf(c_286978,plain,
! [X0: $i] : multiply(inverse(multiply(inverse(iPr_def_14),sk_c1)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_286929,c_277290]) ).
tcf(c_286979,plain,
multiply(sk_c2,iPr_def_26) = sk_c2,
inference(light_normalisation,[status(thm)],[c_286973,c_286894]) ).
tcf(c_287006,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_283141,c_283038]) ).
tcf(c_287007,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_283140,c_283038]) ).
tcf(c_287008,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_283139,c_283038]) ).
tcf(c_287009,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_24,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_283134,c_283038]) ).
tcf(c_287012,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(iPr_def_24,multiply(sk_c10,X0))) = X0,
inference(superposition,[status(thm)],[c_283038,c_277290]) ).
tcf(c_287014,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,iPr_def_23),X0) = multiply(iPr_def_24,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_283038,c_105]) ).
tcf(c_287015,plain,
! [X0: $i] : multiply(inverse(multiply(X0,iPr_def_24)),multiply(X0,multiply(iPr_def_16,iPr_def_23))) = sk_c10,
inference(superposition,[status(thm)],[c_283038,c_277290]) ).
tcf(c_287016,plain,
( ~ iPr_def_12
| ( inverse(iPr_def_24) != sk_c10 )
| ( multiply(iPr_def_16,iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283038,c_644]) ).
tcf(c_287017,plain,
multiply(sk_c2,multiply(iPr_def_16,iPr_def_23)) = multiply(sk_c4,sk_c10),
inference(superposition,[status(thm)],[c_283038,c_284244]) ).
tcf(c_287018,plain,
multiply(sk_c3,multiply(iPr_def_16,iPr_def_23)) = sk_c10,
inference(superposition,[status(thm)],[c_283038,c_278452]) ).
tcf(c_287019,plain,
multiply(sk_c2,multiply(iPr_def_16,iPr_def_23)) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_287017,c_635]) ).
tcf(c_287020,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,iPr_def_23),X0) = multiply(iPr_def_16,multiply(iPr_def_23,X0)),
inference(light_normalisation,[status(thm)],[c_287014,c_283958]) ).
tcf(c_287021,plain,
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_23) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_287009,c_283112]) ).
tcf(c_287030,plain,
! [X0: $i] : multiply(inverse(multiply(iPr_def_16,iPr_def_23)),multiply(iPr_def_16,multiply(iPr_def_23,X0))) = X0,
inference(light_normalisation,[status(thm)],[c_287012,c_283958]) ).
tcf(c_287074,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_15,X0)) = multiply(sk_c7,X0) ) ),
inference(light_normalisation,[status(thm)],[c_279758,c_283004]) ).
tcf(c_287075,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c7,X0) ) ),
inference(demodulation,[status(thm)],[c_287074,c_277401,c_285079]) ).
tcf(c_287092,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_27 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_278383,c_287075]) ).
tcf(c_287114,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c7,X0) ) ),
inference(demodulation,[status(thm)],[c_279759,c_277401,c_285079]) ).
tcf(c_287131,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_278383,c_287114]) ).
tcf(c_287143,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c7,X0)) = multiply(sk_c7,X0) ) ),
inference(demodulation,[status(thm)],[c_279760,c_277401,c_285079]) ).
tcf(c_287160,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_26 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_278383,c_287143]) ).
tcf(c_287174,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(light_normalisation,[status(thm)],[c_280205,c_283004]) ).
tcf(c_287175,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(sk_c4,X0) ) ),
inference(demodulation,[status(thm)],[c_287174,c_277402,c_284939]) ).
tcf(c_287182,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_635,c_287175]) ).
tcf(c_287183,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284432,c_287175]) ).
tcf(c_287184,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(iPr_def_23,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_271542,c_287175]) ).
tcf(c_287185,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,sk_c4) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_285032,c_287175]) ).
tcf(c_287186,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(sk_c4,X0)),multiply(iPr_def_14,multiply(multiply(sk_c4,X0),X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287175,c_277290]) ).
tcf(c_287187,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),multiply(sk_c4,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_287175,c_277266]) ).
tcf(c_287188,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(multiply(sk_c4,X0),X1)) = multiply(multiply(sk_c4,X0),X1) ) ),
inference(superposition,[status(thm)],[c_287175,c_105]) ).
tcf(c_287189,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,multiply(sk_c4,X1))) = multiply(sk_c4,X1) ) ),
inference(superposition,[status(thm)],[c_287175,c_277290]) ).
tcf(c_287190,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(sk_c4,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287175,c_277290]) ).
tcf(c_287191,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_16,multiply(sk_c4,X0)) = multiply(iPr_def_27,multiply(sk_c4,X0)) ) ),
inference(superposition,[status(thm)],[c_287175,c_284835]) ).
tcf(c_287192,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c9,multiply(sk_c4,X0)) = multiply(sk_c2,multiply(sk_c4,X0)) ) ),
inference(superposition,[status(thm)],[c_287175,c_284470]) ).
tcf(c_287207,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(light_normalisation,[status(thm)],[c_287191,c_283646]) ).
tcf(c_287235,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_273381,c_157,c_703,c_1923,c_5730,c_7208,c_9495,c_13842,c_15641,c_17316,c_18396,c_23635,c_26215,c_26871,c_29638,c_34411,c_58137,c_75138,c_91724,c_91903,c_92369,c_119050,c_140527,c_140528,c_269200,c_270314,c_270398,c_270927,c_270928,c_276205,c_276503,c_284740]) ).
tcf(c_287237,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_287235,c_283004]) ).
tcf(c_287244,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_23) = multiply(iPr_def_21,sk_c10) ) ),
inference(superposition,[status(thm)],[c_287237,c_283038]) ).
tcf(c_287245,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,sk_c3) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_287237,c_285040]) ).
tcf(c_287246,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_287237,c_285030]) ).
tcf(c_287247,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_21,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_287237,c_284244]) ).
tcf(c_287248,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_21) = sk_c4 ) ),
inference(superposition,[status(thm)],[c_287237,c_284239]) ).
tcf(c_287249,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_287237,c_283112]) ).
tcf(c_287250,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287237,c_278452]) ).
tcf(c_287251,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_19 )
| ( multiply(iPr_def_21,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287237,c_271566]) ).
tcf(c_287299,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(iPr_def_23),multiply(iPr_def_14,multiply(iPr_def_23,X0))) = X0 ) ),
inference(superposition,[status(thm)],[c_287182,c_277290]) ).
tcf(c_287300,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(iPr_def_14),iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_287182,c_277266]) ).
tcf(c_287302,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_14)),multiply(X0,iPr_def_23)) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_287182,c_277290]) ).
tcf(c_287304,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_23) = multiply(sk_c2,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_287182,c_284470]) ).
tcf(c_287305,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),iPr_def_23) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287182,c_285330]) ).
tcf(c_287331,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_273909,c_283004,c_285042]) ).
tcf(c_287345,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_16,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287331,c_277290]) ).
tcf(c_287346,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287331,c_277266]) ).
tcf(c_287347,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(iPr_def_16,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_287331,c_105]) ).
tcf(c_287348,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287331,c_277290]) ).
tcf(c_287349,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287331,c_277290]) ).
tcf(c_287350,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(iPr_def_16) != sk_c10 )
| ( multiply(iPr_def_14,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_287331,c_644]) ).
tcf(c_287351,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,sk_c2) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_287331,c_285036]) ).
tcf(c_287352,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_287331,c_283148]) ).
tcf(c_287353,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287331,c_271560]) ).
tcf(c_287354,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c8)),multiply(iPr_def_14,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287331,c_285331]) ).
tcf(c_287356,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_287331,c_284824]) ).
tcf(c_287357,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c4)),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287331,c_285330]) ).
tcf(c_287358,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_287331,c_285032]) ).
tcf(c_287359,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287331,c_285330]) ).
tcf(c_287360,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(iPr_def_16,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287331,c_285331]) ).
tcf(c_287361,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_287331,c_283036]) ).
tcf(c_287362,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_287331,c_283646]) ).
tcf(c_287369,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c1 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_287351,c_286892]) ).
tcf(c_287372,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287353,c_284934]) ).
tcf(c_287379,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_287356,c_275916,c_284741]) ).
tcf(c_287386,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_287357,c_283036]) ).
tcf(c_287664,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_273955,c_283004,c_285042]) ).
tcf(c_287678,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_16,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287664,c_277290]) ).
tcf(c_287679,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287664,c_277266]) ).
tcf(c_287680,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(iPr_def_16,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_287664,c_105]) ).
tcf(c_287681,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287664,c_277290]) ).
tcf(c_287682,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287664,c_277290]) ).
tcf(c_287683,plain,
( ( sk_c9 = iPr_def_23 )
| ~ iPr_def_12
| ( inverse(iPr_def_16) != sk_c10 )
| ( multiply(iPr_def_14,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_287664,c_644]) ).
tcf(c_287684,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,sk_c2) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_287664,c_285036]) ).
tcf(c_287685,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_287664,c_283148]) ).
tcf(c_287686,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287664,c_271560]) ).
tcf(c_287687,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c8)),multiply(iPr_def_14,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287664,c_285331]) ).
tcf(c_287689,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_287664,c_284824]) ).
tcf(c_287690,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c4)),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287664,c_285330]) ).
tcf(c_287691,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_287664,c_285032]) ).
tcf(c_287692,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287664,c_285330]) ).
tcf(c_287693,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(iPr_def_16,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287664,c_285331]) ).
tcf(c_287694,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_287664,c_283036]) ).
tcf(c_287695,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_287664,c_283646]) ).
tcf(c_287702,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c1 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_287684,c_286892]) ).
tcf(c_287705,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287686,c_284934]) ).
tcf(c_287712,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_23 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_287689,c_275916,c_284741]) ).
tcf(c_287719,plain,
( ( sk_c9 = iPr_def_23 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_287690,c_283036]) ).
tcf(c_287887,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_274001,c_283004,c_285042]) ).
tcf(c_287901,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_14,X0)),multiply(iPr_def_16,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287887,c_277290]) ).
tcf(c_287902,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(iPr_def_16),multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287887,c_277266]) ).
tcf(c_287903,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(multiply(iPr_def_14,X0),X1) = multiply(iPr_def_16,multiply(X0,X1)) ) ),
inference(superposition,[status(thm)],[c_287887,c_105]) ).
tcf(c_287904,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(X0,iPr_def_16)),multiply(X0,multiply(iPr_def_14,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287887,c_277290]) ).
tcf(c_287905,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,X0)),multiply(iPr_def_14,multiply(X0,X1))) = X1 ) ),
inference(superposition,[status(thm)],[c_287887,c_277290]) ).
tcf(c_287906,plain,
( ( iPr_def_16 = iPr_def_24 )
| ~ iPr_def_12
| ( inverse(iPr_def_16) != sk_c10 )
| ( multiply(iPr_def_14,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_287887,c_644]) ).
tcf(c_287907,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,sk_c2) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_287887,c_285036]) ).
tcf(c_287908,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_287887,c_283148]) ).
tcf(c_287909,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_287887,c_271560]) ).
tcf(c_287910,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c8)),multiply(iPr_def_14,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287887,c_285331]) ).
tcf(c_287912,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_287887,c_284824]) ).
tcf(c_287913,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_16,sk_c4)),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287887,c_285330]) ).
tcf(c_287914,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_287887,c_285032]) ).
tcf(c_287915,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c4)),multiply(iPr_def_16,iPr_def_23)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287887,c_285330]) ).
tcf(c_287916,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(multiply(iPr_def_14,sk_c8)),multiply(iPr_def_16,iPr_def_19)) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_287887,c_285331]) ).
tcf(c_287917,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,sk_c4) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_287887,c_283036]) ).
tcf(c_287918,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_287887,c_283646]) ).
tcf(c_287925,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( sk_c1 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_287907,c_286892]) ).
tcf(c_287928,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(sk_c1,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287909,c_284934]) ).
tcf(c_287935,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(iPr_def_14,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(light_normalisation,[status(thm)],[c_287912,c_275916,c_284741]) ).
tcf(c_287942,plain,
( ( iPr_def_16 = iPr_def_24 )
| ( multiply(inverse(iPr_def_24),multiply(iPr_def_14,iPr_def_23)) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_287913,c_283036]) ).
tcf(c_288118,plain,
! [X0: $i] :
( ( iPr_def_16 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),multiply(iPr_def_24,X0)) = multiply(sk_c4,X0) ) ),
inference(light_normalisation,[status(thm)],[c_280206,c_283004]) ).
tcf(c_288124,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_288118,c_287942,c_287935,c_287928,c_287925,c_287916,c_287915,c_287913,c_287912,c_287910,c_287906,c_287905,c_287904,c_287903,c_287902,c_287901,c_287918,c_287917,c_287914,c_287909,c_287908,c_287907,c_287887,c_287719,c_287712,c_287705,c_287702,c_287693,c_287692,c_287690,c_287689,c_287687,c_287683,c_287682,c_287681,c_287680,c_287679,c_287678,c_287695,c_287694,c_287691,c_287686,c_287685,c_287684,c_287664,c_287386,c_287379,c_287372,c_287369,c_287360,c_287359,c_287357,c_287356,c_287354,c_287350,c_287349,c_287348,c_287347,c_287346,c_287345,c_287362,c_287361,c_287358,c_287353,c_287352,c_287351,c_287331,c_287305,c_287304,c_287302,c_287300,c_287299,c_287251,c_287250,c_287249,c_287248,c_287247,c_287246,c_287245,c_287244,c_287237,c_287235,c_287207,c_287192,c_287191,c_287190,c_287189,c_287188,c_287187,c_287186,c_287185,c_287184,c_287183,c_287182,c_287175,c_287174,c_287143,c_287131,c_287114,c_287075,c_287030,c_287020,c_287019,c_287018,c_287017,c_287016,c_287015,c_287014,c_287012,c_287009,c_287008,c_287007,c_287006,c_286979,c_286978,c_286977,c_286976,c_286975,c_286974,c_286973,c_286972,c_286971,c_286965,c_286964,c_286953,c_286951,c_286931,c_286930,c_286929,c_286928,c_286927,c_286898,c_286897,c_286896,c_286894,c_286893,c_286892,c_286873,c_286872,c_286870,c_286869,c_286867,c_286866,c_286865,c_286864,c_286863,c_286822,c_286773,c_286686,c_286682,c_286670,c_286665,c_286653,c_286647,c_286646,c_286645,c_286638,c_286637,c_286636,c_286522,c_286515,c_286508,c_286497,c_286496,c_286494,c_286493,c_286491,c_286487,c_286486,c_286485,c_286484,c_286483,c_286482,c_286499,c_286498,c_286495,c_286490,c_286489,c_286488,c_286468,c_286423,c_286416,c_286409,c_286398,c_286397,c_286395,c_286394,c_286392,c_286388,c_286387,c_286386,c_286385,c_286384,c_286383,c_286400,c_286399,c_286396,c_286391,c_286390,c_286389,c_286369,c_286361,c_286360,c_286334,c_286331,c_286329,c_286328,c_286327,c_286326,c_286325,c_286324,c_286323,c_286321,c_286320,c_286316,c_286315,c_286314,c_286313,c_286312,c_286311,c_286306,c_286305,c_286304,c_286303,c_286302,c_286210,c_286202,c_286199,c_286172,c_286171,c_286170,c_286169,c_286164,c_286101,c_286100,c_286099,c_286098,c_286097,c_286096,c_286095,c_286094,c_286093,c_286092,c_286088,c_286087,c_286086,c_286085,c_286084,c_286003,c_285996,c_285994,c_285993,c_285992,c_285991,c_285990,c_285989,c_285988,c_285987,c_285933,c_285931,c_285924,c_285923,c_285922,c_285921,c_285919,c_285553,c_285530,c_285528,c_285527,c_285507,c_285472,c_285469,c_285463,c_285432,c_285428,c_285424,c_285409,c_285408,c_285407,c_285406,c_285405,c_285404,c_285403,c_285402,c_285401,c_285400,c_285399,c_285398,c_285397,c_285396,c_285395,c_285394,c_285393,c_285392,c_285391,c_285390,c_285389,c_285388,c_285387,c_285384,c_285383,c_285382,c_285381,c_285380,c_285378,c_285377,c_285376,c_285375,c_285374,c_285373,c_285372,c_285371,c_285369,c_285365,c_285364,c_285363,c_285362,c_285359,c_285348,c_285347,c_285346,c_285345,c_285344,c_285343,c_285342,c_285341,c_285340,c_285329,c_285328,c_285327,c_285326,c_285325,c_285323,c_285322,c_285321,c_285320,c_285319,c_285318,c_285317,c_285302,c_285301,c_285300,c_285299,c_285298,c_285297,c_285296,c_285295,c_285294,c_285293,c_285292,c_285291,c_285290,c_285289,c_285288,c_285287,c_285286,c_285285,c_285284,c_285283,c_285282,c_285281,c_285280,c_285277,c_285276,c_285275,c_285274,c_285273,c_285271,c_285270,c_285269,c_285268,c_285267,c_285266,c_285265,c_285264,c_285262,c_285258,c_285257,c_285256,c_285255,c_285252,c_285251,c_285241,c_285240,c_285239,c_285238,c_285237,c_285236,c_285235,c_285234,c_285233,c_285212,c_285196,c_285195,c_285194,c_285184,c_285167,c_285166,c_285165,c_285164,c_285160,c_285158,c_285155,c_285149,c_285145,c_285143,c_285140,c_285139,c_285138,c_285137,c_285136,c_285135,c_285134,c_285132,c_285133,c_285127,c_285126,c_285125,c_285122,c_285121,c_285120,c_285118,c_285111,c_285101,c_285098,c_285096,c_285095,c_285094,c_285093,c_285092,c_285091,c_285090,c_285089,c_285088,c_285087,c_285086,c_285085,c_285082,c_285084,c_285080,c_285079,c_285069,c_285067,c_285066,c_285043,c_285042,c_285041,c_285040,c_285039,c_285038,c_285037,c_285036,c_285035,c_285034,c_285033,c_285032,c_285031,c_285030,c_285029,c_285027,c_285026,c_285019,c_285018,c_285013,c_285015,c_285006,c_285005,c_285004,c_285003,c_285002,c_285001,c_284966,c_284965,c_284964,c_284963,c_284962,c_284961,c_284960,c_284959,c_284958,c_284957,c_284956,c_284955,c_284954,c_284953,c_284952,c_284946,c_284944,c_284941,c_284940,c_284939,c_284937,c_284936,c_284935,c_284934,c_284932,c_284907,c_284904,c_284903,c_284902,c_284901,c_284898,c_284885,c_284880,c_284878,c_284877,c_284875,c_284860,c_284849,c_284835,c_284834,c_284833,c_284832,c_284831,c_284830,c_284829,c_284828,c_284824,c_284823,c_284781,c_284773,c_284772,c_284771,c_284758,c_284748,c_284747,c_284746,c_284741,c_284727,c_284726,c_284719,c_284705,c_284704,c_284697,c_284691,c_284690,c_284683,c_284671,c_284665,c_284640,c_284639,c_284638,c_284634,c_284632,c_284631,c_284619,c_284611,c_284602,c_284601,c_284600,c_284599,c_284603,c_284595,c_284594,c_284580,c_284578,c_284577,c_284576,c_284575,c_284574,c_284573,c_284572,c_284570,c_284560,c_284557,c_284554,c_284552,c_284550,c_284549,c_284548,c_284547,c_284546,c_284545,c_284544,c_284543,c_284542,c_284536,c_284530,c_284523,c_284522,c_284516,c_284510,c_284504,c_284494,c_284487,c_284486,c_284488,c_284483,c_284482,c_284478,c_284477,c_284476,c_284475,c_284474,c_284470,c_284469,c_284457,c_284456,c_284447,c_284446,c_284445,c_284437,c_284436,c_284432,c_284430,c_284429,c_284428,c_284427,c_284426,c_284425,c_284424,c_284422,c_284418,c_284417,c_284414,c_284410,c_284401,c_284396,c_284395,c_284388,c_284387,c_284373,c_284372,c_284376,c_284354,c_284353,c_284340,c_284339,c_284329,c_284328,c_284318,c_284317,c_284307,c_284306,c_284296,c_284295,c_284285,c_284284,c_284262,c_284261,c_284259,c_284258,c_284257,c_284260,c_284253,c_284252,c_284251,c_284250,c_284249,c_284248,c_284244,c_284243,c_284241,c_284240,c_284239,c_284238,c_284227,c_284226,c_284222,c_284207,c_284203,c_284202,c_284201,c_284194,c_284193,c_284142,c_284108,c_284107,c_284085,c_284053,c_284049,c_284039,c_284026,c_284025,c_284024,c_284005,c_284004,c_284003,c_283984,c_283983,c_283982,c_283968,c_283962,c_283960,c_283959,c_283958,c_283957,c_283956,c_283955,c_283950,c_283943,c_283900,c_283894,c_283893,c_283891,c_283903,c_283848,c_283842,c_283841,c_283839,c_283851,c_283791,c_283790,c_286359,c_283784,c_283783,c_283781,c_283793,c_283750,c_283746,c_283745,c_283743,c_283710,c_283709,c_283708,c_283707,c_283704,c_283700,c_283699,c_283698,c_283697,c_283685,c_283684,c_283683,c_283677,c_283659,c_283658,c_283657,c_283656,c_283652,c_283651,c_283648,c_283646,c_283632,c_283631,c_283630,c_283620,c_283606,c_283605,c_283604,c_283600,c_283595,c_283586,c_283579,c_283573,c_283572,c_283536,c_283510,c_283509,c_283508,c_283494,c_283493,c_283469,c_283464,c_283463,c_283461,c_283432,c_283427,c_283426,c_283424,c_283391,c_283390,c_283385,c_283384,c_283382,c_283314,c_283148,c_283146,c_283145,c_283144,c_283143,c_283142,c_283133,c_283128,c_283127,c_283126,c_283125,c_283124,c_283123,c_283122,c_283121,c_283120,c_283119,c_283117,c_283116,c_283138,c_283137,c_283112,c_283109,c_283107,c_283106,c_283097,c_283096,c_283095,c_283094,c_283093,c_283141,c_283091,c_283090,c_283089,c_283088,c_283087,c_283086,c_283085,c_283140,c_283139,c_283136,c_283081,c_283080,c_283079,c_283078,c_283077,c_283135,c_283073,c_283132,c_283071,c_283070,c_283069,c_283067,c_283066,c_283065,c_283064,c_283063,c_283131,c_283130,c_283129,c_283059,c_283058,c_283057,c_283056,c_283053,c_283049,c_283047,c_283046,c_283045,c_283044,c_283043,c_283041,c_283040,c_283039,c_283038,c_283037,c_283036,c_283035,c_283033,c_283032,c_283031,c_283027,c_283025,c_283023,c_283021,c_283020,c_283019,c_283018,c_283014,c_283013,c_283012,c_283011,c_283009,c_283007,c_283006,c_283004,c_282834,c_282833,c_282823,c_282816,c_282806,c_282805,c_282828,c_282830,c_282835,c_282601,c_282598,c_282596,c_282595,c_282593,c_282576,c_282574,c_282566,c_282559,c_282438,c_282437,c_282427,c_282426,c_282421,c_282420,c_282419,c_282417,c_282414,c_282410,c_282409,c_282407,c_282436,c_282435,c_282433,c_282408,c_282363,c_282361,c_282360,c_282344,c_282343,c_282342,c_282329,c_282328,c_282327,c_282227,c_282226,c_282225,c_282165,c_282164,c_282163,c_282125,c_282084,c_282081,c_282078,c_282075,c_282072,c_282070,c_282069,c_282068,c_282062,c_282064,c_282065,c_282066,c_282067,c_282051,c_282049,c_282047,c_281942,c_281941,c_281940,c_281938,c_281937,c_281936,c_281935,c_281934,c_281939,c_281922,c_281787,c_281785,c_281784,c_281783,c_281791,c_281790,c_281789,c_281474,c_281473,c_281472,c_281471,c_281470,c_281478,c_281477,c_281476,c_281475,c_281264,c_281263,c_281262,c_281258,c_281257,c_281256,c_280995,c_280994,c_280993,c_280989,c_280988,c_280987,c_280908,c_280907,c_280906,c_280893,c_280892,c_280891,c_280884,c_280883,c_280882,c_280844,c_280843,c_280842,c_280449,c_280448,c_280447,c_280443,c_280442,c_280441,c_280232,c_280229,c_280226,c_280223,c_280221,c_280220,c_280219,c_280218,c_280217,c_280216,c_280215,c_280214,c_280213,c_280212,c_280211,c_280204,c_280203,c_280202,c_280201,c_280200,c_280199,c_280208,c_280209,c_280210,c_280207,c_280206,c_280205,c_280163,c_280161,c_280086,c_280085,c_280078,c_280077,c_280076,c_280075,c_280074,c_280073,c_279788,c_279785,c_279782,c_279779,c_279778,c_279776,c_279775,c_279774,c_279773,c_279772,c_279771,c_279770,c_279769,c_279768,c_279767,c_279766,c_279765,c_279764,c_279763,c_279762,c_279756,c_279758,c_279759,c_279760,c_279761,c_279742,c_279741,c_279740,c_279739,c_279725,c_279724,c_279723,c_279722,c_279714,c_279713,c_279707,c_279663,c_279653,c_279591,c_279590,c_279589,c_279588,c_279540,c_279539,c_279538,c_279537,c_279492,c_279491,c_279485,c_279487,c_279488,c_279489,c_279490,c_279344,c_279343,c_279337,c_279332,c_279331,c_279330,c_279329,c_279328,c_279327,c_279326,c_279325,c_279324,c_279323,c_279322,c_279321,c_279320,c_279319,c_279318,c_279317,c_279311,c_279291,c_279253,c_279223,c_279222,c_279200,c_279199,c_279172,c_279171,c_279170,c_279169,c_279168,c_279119,c_27911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).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP269-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.08/0.35 % Computer : n026.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Wed Sep 23 14:21:53 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 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
% 0.12/0.40
% 0.12/0.40 % ======== iProver multi-core TPTP/SMT =========
% 0.12/0.40
% 0.12/0.41 % Detected problem language: tptp
% 0.12/0.42 % Proving...
% 61.82/12.38 % SZS status Started for theBenchmark.p
% 61.82/12.38 ERROR - "ProverProcess:heur/330959:296.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(X0,sk_c10) != inverse(X0) | inverse(sk_c10) != X0 )")
% 61.82/12.38 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(X0,sk_c10) != inverse(X0) | inverse(sk_c10) != X0 )")
% 61.82/12.38 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_af_restrict_to_split_sk false --abstr_ref_prep false --abstr_ref_sig_restrict funpre --abstr_ref_under "[]" --abstr_ref_until_sat false --add_important_lit false --bc_imp_inh "[conj_cone]" --brand_transform false --clause_weak_htbl true --comb_inst_mult 3 --comb_mode clause_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 3. --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --gc_record_bc_elim false --inst_activity_threshold 500 --inst_dismatching true --inst_eager_unprocessed_to_passive true --inst_eq_res_simp false --inst_learning_factor 2 --inst_learning_loop_flag true --inst_learning_start 3000 --inst_lit_activity_flag true --inst_lit_sel "[+prop;+sign;+ground;-num_var;-num_symb]" --inst_lit_sel_side num_symb --inst_orphan_elimination true --inst_passive_queue_type priority_queues --inst_passive_queues "[[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]" --inst_passive_queues_freq "[25;2]" --inst_prop_sim_given true --inst_prop_sim_new false --inst_restr_to_given false --inst_sel_renew solver --inst_solver_calls_frac 1. --inst_solver_per_active 1400 --inst_sos_flag false --inst_sos_phase true --inst_sos_sth_lit_sel "[+prop;+non_prol_conj_symb;-eq;+ground;-num_var]" --inst_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --large_theory_mode true --lt_threshold 2000 --min_unsat_core false --non_eq_to_eq false --pred_elim true --prep_def_merge true --prep_def_merge_mbd true --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red false --prep_gs_sim true --prep_res_sim true --prep_sem_filter exhaustive --prep_sem_filter_out false --prep_sup_sim_all true --prep_sup_sim_sup false --prep_unflatten true --prep_upred true --preprocessed_out false --preprocessed_stats false --preprocessing_flag true --prolific_symb_bound 256 --prop_impl_unit "[]" --prop_impl_unit_size 0 --prop_solver_per_cl 1024 --pure_diseq_elim true --res_backward_subs full --res_backward_subs_resolution true --res_forward_subs full --res_forward_subs_resolution true --res_lit_sel adaptive --res_lit_sel_side none --res_ordering kbo --res_orphan_elimination true --res_passive_queue_type priority_queues --res_passive_queues "[[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]" --res_passive_queues_freq "[15;5]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input true --res_time_limit 300. --res_to_prop_solver active --reset_solvers false --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --soft_assumptions false --soft_lemma_size 3 --splitting_cvd false --splitting_cvd_svl false --splitting_grd true --splitting_mode input --splitting_nvd 32 --stats_out none --sub_typing true --subs_bck_mult 8 --sup_full_bw "[BwDemod;BwUnitSubsAndRes]" --sup_full_fw "[FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[BwUnitSubsAndRes]" --sup_immed_bw_main "[BwUnitSubsAndRes]" --sup_immed_fw_immed "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes]" --sup_immed_fw_main "[FwUnitSubsAndRes]" --sup_immed_triv "[]" --sup_indices_passive "[LightNormIndex;UnitSubsumptionIndex]" --sup_input_bw "[BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]" --sup_input_fw "[ACNormalisation;FwDemodLightNormLoopTriv;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes]" --sup_input_triv "[Unflattening]" --sup_iter_deepening 2 --sup_passive_queue_type priority_queues --sup_passive_queues "[[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]]" --sup_passive_queues_freq "[8;4;4]" --sup_prop_simpl_given true --sup_prop_simpl_new true --sup_restarts_mult 2 --sup_score sim_d_gen --sup_share_max_num_cl 500 --sup_share_score_frac 0.2 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.1 --suppress_sat_res true --tptp_safe_out true --out_options none --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 98.67" --time_out_real 296.00 /export/starexec/sandbox2/benchmark/theBenchmark.p 1>> /export/starexec/sandbox2/tmp/iprover_out_xfvny3dy/c18098ei 2>> /export/starexec/sandbox2/tmp/iprover_out_xfvny3dy/c18098ei_error
% 61.82/12.38 % SZS status Unsatisfiable for theBenchmark.p
% 61.82/12.38
% 61.82/12.38 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 61.82/12.38
% 61.82/12.38 % ------ iProver source info
% 61.82/12.38
% 61.82/12.38 % git: date: 2026-07-19 20:42:38 +0200
% 61.82/12.38 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 61.82/12.38 % git: non_committed_changes: false
% 61.82/12.38
% 61.82/12.38 % ------ Parsing...% successful
% 61.82/12.38
% 61.82/12.38
% 61.82/12.38 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 61.82/12.38
% 61.82/12.38 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 61.82/12.38
% 61.82/12.38 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 61.82/12.38
% 61.82/12.38 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 61.82/12.38 % ------ Proving...
% 61.82/12.38 % ------ Problem Properties
% 61.82/12.38
% 61.82/12.38 %
% 61.82/12.38 % clauses 73
% 61.82/12.38 % conjectures 55
% 61.82/12.38 % EPR 51
% 61.82/12.38 % Horn 22
% 61.82/12.38 % unary 18
% 61.82/12.38 % binary 50
% 61.82/12.38 % lits 137
% 61.82/12.38 % lits eq 129
% 61.82/12.38 % fd_pure 0
% 61.82/12.38 % fd_pseudo 0
% 61.82/12.38 % fd_cond 0
% 61.82/12.38 % fd_pseudo_cond 0
% 61.82/12.38 % AC symbols 0
% 61.82/12.38
% 61.82/12.38 % ------ Schedule dynamic 5 is on
% 61.82/12.38
% 61.82/12.38 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 61.82/12.38
% 61.82/12.38
% 61.82/12.38 % ------
% 61.82/12.38 % Current options:
% 61.82/12.38 % ------
% 61.82/12.38
% 61.82/12.38
% 61.82/12.38 %
% 61.82/12.38
% 61.82/12.38 % ------ Proving...
% 61.82/12.38 % Proof_search_loop: time out after: 9789 full_loop iterations
% 61.82/12.38
% 61.82/12.38 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 61.82/12.38
% 61.82/12.38
% 61.82/12.38 % ------
% 61.82/12.38 % Current options:
% 61.82/12.38 % ------
% 61.82/12.38
% 61.82/12.38
% 61.82/12.38 %
% 61.82/12.38
% 61.82/12.38 % ------ Proving...
% 61.82/12.38 %
% 61.82/12.38
% 61.82/12.38 % SZS status Unsatisfiable for theBenchmark.p
% 61.82/12.38
% 61.82/12.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 80.76/12.47
% 80.76/12.47
%------------------------------------------------------------------------------