%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP273-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n004.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 01:32:41 PM UTC 2026
% Result : Unsatisfiable 86.63s 28.00s
% Output : CNFRefutation 86.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 71
% Syntax : Number of formulae : 3213 ( 356 unt; 15 def)
% Number of atoms : 17687 (7119 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 5556 (1207 ~;4349 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 3 avg)
% Maximal term depth : 5 ( 1 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 : 938 ( 0 sgn 938 !; 0 ?; 903 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f64,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
( inverse(sk_c3) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f66,plain,
( sk_c11 = inverse(sk_c3)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f65]) ).
fof(f67,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f68,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f67]) ).
fof(f69,negated_conjecture,
( inverse(sk_c4) = sk_c10
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( sk_c10 = inverse(sk_c4)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f69]) ).
fof(f71,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f72,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f71]) ).
fof(f73,negated_conjecture,
( inverse(sk_c5) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c5)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f73]) ).
fof(f75,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f76,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f75]) ).
fof(f77,negated_conjecture,
( inverse(sk_c7) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f78,plain,
( inverse(sk_c7) = sk_c6
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f77]) ).
fof(f79,negated_conjecture,
( inverse(sk_c6) = sk_c8
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f80,plain,
( sk_c8 = inverse(sk_c6)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f79]) ).
fof(f81,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c2,sk_c9) = sk_c11 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f82,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c11 = multiply(sk_c2,sk_c9) ),
inference(reorient_equations,[],[f81]) ).
fof(f83,negated_conjecture,
( multiply(sk_c3,sk_c11) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f84,plain,
( sk_c10 = multiply(sk_c3,sk_c11)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f83]) ).
fof(f85,negated_conjecture,
( inverse(sk_c3) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_42) ).
fof(f86,plain,
( sk_c11 = inverse(sk_c3)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f85]) ).
fof(f87,negated_conjecture,
( multiply(sk_c4,sk_c10) = sk_c9
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_43) ).
fof(f88,plain,
( multiply(sk_c4,sk_c10) = sk_c9
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f87]) ).
fof(f89,negated_conjecture,
( inverse(sk_c4) = sk_c10
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_44) ).
fof(f90,plain,
( sk_c10 = inverse(sk_c4)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f89]) ).
fof(f91,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_45) ).
fof(f92,plain,
( sk_c11 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f91]) ).
fof(f93,negated_conjecture,
( inverse(sk_c5) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_46) ).
fof(f94,plain,
( sk_c8 = inverse(sk_c5)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f93]) ).
fof(f95,negated_conjecture,
( multiply(sk_c8,sk_c10) = sk_c11
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_47) ).
fof(f96,plain,
( sk_c11 = multiply(sk_c8,sk_c10)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f95]) ).
fof(f97,negated_conjecture,
( inverse(sk_c7) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_48) ).
fof(f98,plain,
( inverse(sk_c7) = sk_c6
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f97]) ).
fof(f99,negated_conjecture,
( inverse(sk_c6) = sk_c8
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_49) ).
fof(f100,plain,
( sk_c8 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
inference(reorient_equations,[],[f99]) ).
fof(f101,negated_conjecture,
( multiply(sk_c7,sk_c8) = sk_c6
| inverse(sk_c2) = sk_c9 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_50) ).
fof(f102,plain,
( sk_c6 = multiply(sk_c7,sk_c8)
| sk_c9 = 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_c9
| multiply(X1,sk_c9) != sk_c11
| multiply(sk_c11,sk_c9) != sk_c10
| inverse(X0) != sk_c11
| multiply(X0,sk_c11) != sk_c10 ),
file('/export/starexec/sandbox/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_c9 != inverse(X1)
| sk_c11 != multiply(X1,sk_c9)
| 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_c9 != inverse(X1)
| sk_c11 != multiply(X1,sk_c9)
| 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_c9 != inverse(X1)
| sk_c11 != multiply(X1,sk_c9)
| 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_c9) = sk_c11 )
| ( 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_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_138,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( 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_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f70]) ).
tcf(c_140,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( 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_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f74]) ).
tcf(c_142,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( 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_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f78]) ).
tcf(c_144,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c2,sk_c9) = sk_c11 ) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_145,negated_conjecture,
( ( multiply(sk_c2,sk_c9) = sk_c11 )
| ( multiply(sk_c7,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_146,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c3,sk_c11) = sk_c10 ) ),
inference(cnf_transformation,[],[f84]) ).
tcf(c_147,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c3) = sk_c11 ) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_148,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c4,sk_c10) = sk_c9 ) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_149,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c4) = sk_c10 ) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_150,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c5,sk_c8) = sk_c11 ) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_151,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c5) = sk_c8 ) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_152,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( multiply(sk_c8,sk_c10) = sk_c11 ) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_153,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_154,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_155,negated_conjecture,
( ( inverse(sk_c2) = sk_c9 )
| ( 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_c9 )
| ( 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_c9) != sk_c11 )
| ( 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_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_c9 )
| ( multiply(X0,sk_c9) != sk_c11 ) ),
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_c9),
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_c9 )
| ( multiply(X0,sk_c9) != sk_c11 ) ),
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_c9 )
| ( 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_c9 ) ),
inference(demodulation,[status(thm)],[c_154,c_629]) ).
tcf(c_649,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_153,c_630]) ).
tcf(c_650,negated_conjecture,
( ( iPr_def_19 = sk_c11 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_152,c_631]) ).
tcf(c_651,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_151,c_632]) ).
tcf(c_652,negated_conjecture,
( ( iPr_def_21 = sk_c11 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_150,c_633]) ).
tcf(c_653,negated_conjecture,
( ( iPr_def_22 = sk_c10 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_149,c_634]) ).
tcf(c_654,negated_conjecture,
( ( iPr_def_23 = sk_c9 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_148,c_635]) ).
tcf(c_655,negated_conjecture,
( ( iPr_def_24 = sk_c11 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_147,c_636]) ).
tcf(c_656,negated_conjecture,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_16 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_146,c_637]) ).
tcf(c_657,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_145,c_638]) ).
tcf(c_658,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_17 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_144]) ).
tcf(c_659,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_143]) ).
tcf(c_660,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_19 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_142]) ).
tcf(c_661,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_141]) ).
tcf(c_662,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_21 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_140]) ).
tcf(c_663,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_22 = sk_c10 ) ),
inference(demodulation,[status(thm)],[c_139]) ).
tcf(c_664,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_23 = sk_c9 ) ),
inference(demodulation,[status(thm)],[c_138]) ).
tcf(c_665,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( iPr_def_24 = sk_c11 ) ),
inference(demodulation,[status(thm)],[c_137]) ).
tcf(c_666,negated_conjecture,
( ( iPr_def_26 = sk_c11 )
| ( 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_1010,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_647,c_649]) ).
tcf(c_1022,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_648,c_651]) ).
tcf(c_1053,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_654,c_626]) ).
tcf(c_1056,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_650,c_626]) ).
tcf(c_1116,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_659,c_657]) ).
tcf(c_1136,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_661,c_658]) ).
tcf(c_1183,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_662,c_637]) ).
tcf(c_1184,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_660,c_637]) ).
tcf(c_1189,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_638]) ).
tcf(c_1190,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_655,c_638]) ).
tcf(c_1192,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_653,c_638]) ).
tcf(c_1193,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_652,c_638]) ).
tcf(c_1194,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_638]) ).
tcf(c_1213,plain,
multiply(iPr_def_24,sk_c3) = identity,
inference(superposition,[status(thm)],[c_636,c_104]) ).
tcf(c_1214,plain,
multiply(iPr_def_22,sk_c4) = identity,
inference(superposition,[status(thm)],[c_634,c_104]) ).
tcf(c_1215,plain,
multiply(iPr_def_20,sk_c5) = identity,
inference(superposition,[status(thm)],[c_632,c_104]) ).
tcf(c_1216,plain,
multiply(iPr_def_18,sk_c7) = identity,
inference(superposition,[status(thm)],[c_630,c_104]) ).
tcf(c_1218,plain,
multiply(iPr_def_27,sk_c1) = identity,
inference(superposition,[status(thm)],[c_639,c_104]) ).
tcf(c_1219,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_628,c_104]) ).
tcf(c_1224,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_663,c_635]) ).
tcf(c_1239,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_664,c_638]) ).
tcf(c_1269,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_665,c_640]) ).
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_1284,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_663,c_666]) ).
tcf(c_1286,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_666,c_635]) ).
tcf(c_1295,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1296,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1297,plain,
sk_c10 = sk_c10,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1319,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1321,plain,
( ( sk_c10 = iPr_def_22 )
| ( iPr_def_22 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1296]) ).
tcf(c_1322,plain,
( ( sk_c10 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( sk_c10 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1296]) ).
tcf(c_1351,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_669,c_667]) ).
tcf(c_1367,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_1379,plain,
( ( iPr_def_14 = sk_c10 )
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1278]) ).
tcf(c_1389,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_668]) ).
tcf(c_1390,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_1403,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_1404,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_1414,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_1432,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_22 )
| ( X0 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1319]) ).
tcf(c_1434,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1319]) ).
tcf(c_1475,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_674,c_638]) ).
tcf(c_1478,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_1521,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_1539,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1544,plain,
( ( iPr_def_22 = sk_c10 )
| ( iPr_def_22 != iPr_def_22 )
| ( sk_c10 != iPr_def_22 ) ),
inference(instantiation,[status(thm)],[c_1432]) ).
tcf(c_1545,plain,
iPr_def_22 = iPr_def_22,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1568,plain,
( ( iPr_def_25 = sk_c10 )
| ( iPr_def_25 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1434]) ).
tcf(c_1569,plain,
iPr_def_25 = iPr_def_25,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1582,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_676,c_673]) ).
tcf(c_1586,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_1681,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_679,c_677]) ).
tcf(c_1701,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_1704,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_680,c_660]) ).
tcf(c_1729,plain,
iPr_def_14 = iPr_def_14,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_1730,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_1740,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_678]) ).
tcf(c_1767,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_1769,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_682,c_662]) ).
tcf(c_1839,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_684,c_638]) ).
tcf(c_1882,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_1917,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_683]) ).
tcf(c_1923,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_1988,plain,
identity = identity,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_2036,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_689,c_687]) ).
tcf(c_2107,plain,
( ( sk_c10 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1404]) ).
tcf(c_2113,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_2127,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
tcf(c_2130,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_2167,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_672]) ).
tcf(c_2205,plain,
! [X0: $i] :
( ( X0 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1539]) ).
tcf(c_2263,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_2269,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_2334,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_2385,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_675]) ).
tcf(c_2391,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_2500,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_2585,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_2587,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c10 = iPr_def_22 )
| ( iPr_def_14 != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_693,c_641]) ).
tcf(c_2590,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_2591,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_27 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_683,c_641]) ).
tcf(c_2593,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_641]) ).
tcf(c_2693,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_635,c_644]) ).
tcf(c_2695,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_2717,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( sk_c10 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2693,c_634]) ).
tcf(c_2799,plain,
! [X0: $i] :
( ( iPr_def_14 = X0 )
| ( iPr_def_14 != sk_c10 )
| ( X0 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_1730]) ).
tcf(c_2849,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1010,c_638]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_2867,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1213,c_105]) ).
tcf(c_2868,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1214,c_105]) ).
tcf(c_2869,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1215,c_105]) ).
tcf(c_2870,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1216,c_105]) ).
tcf(c_2872,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1218,c_105]) ).
tcf(c_2873,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1219,c_105]) ).
tcf(c_2876,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2873,c_103]) ).
tcf(c_2877,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2872,c_103]) ).
tcf(c_2879,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2870,c_103]) ).
tcf(c_2880,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2869,c_103]) ).
tcf(c_2881,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2868,c_103]) ).
tcf(c_2882,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2867,c_103]) ).
tcf(c_2989,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1022,c_638]) ).
tcf(c_3043,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1116,c_626]) ).
tcf(c_3088,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1136,c_626]) ).
tcf(c_3140,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1284,c_626]) ).
tcf(c_3253,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_661,c_631]) ).
tcf(c_3254,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_658,c_631]) ).
tcf(c_3334,plain,
! [X0: $i,X1: $i] :
( ( identity = X0 )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_3454,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_26 )
| ( inverse(sk_c2) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_638,c_645]) ).
tcf(c_3455,plain,
( ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_103,c_645]) ).
tcf(c_3473,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_16 )
| ( sk_c11 != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_3454,c_628]) ).
tcf(c_3550,plain,
! [X0: $i] :
( ( X0 = sk_c10 )
| ( sk_c10 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1319]) ).
tcf(c_3551,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_1295]) ).
tcf(c_3552,plain,
( ( sk_c10 = sk_c11 )
| ( sk_c10 != iPr_def_28 )
| ( sk_c11 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_3551]) ).
tcf(c_3608,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_28 )
| ( inverse(sk_c1) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_640,c_646]) ).
tcf(c_3609,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_637,c_646]) ).
tcf(c_3625,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 )
| ( sk_c11 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_3609,c_636]) ).
tcf(c_3629,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_28 )
| ( sk_c11 != iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_3608,c_639]) ).
tcf(c_3691,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_28 != sk_c10 )
| ( iPr_def_14 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_2799]) ).
tcf(c_3765,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_3929,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1681,c_1116]) ).
tcf(c_3931,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1681,c_640]) ).
tcf(c_4093,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1740,c_1136]) ).
tcf(c_4096,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1740,c_640]) ).
tcf(c_4100,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1740,c_626]) ).
tcf(c_4166,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1769,c_1704]) ).
tcf(c_4475,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1917,c_1284]) ).
tcf(c_4479,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_1917,c_640]) ).
tcf(c_4538,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2036,c_1351]) ).
tcf(c_4675,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2127,c_1389]) ).
tcf(c_4738,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2167,c_626]) ).
tcf(c_4814,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_2385,c_637]) ).
tcf(c_5012,plain,
multiply(iPr_def_16,iPr_def_26) = sk_c9,
inference(superposition,[status(thm)],[c_638,c_2876]) ).
tcf(c_5031,plain,
multiply(iPr_def_27,iPr_def_28) = sk_c11,
inference(superposition,[status(thm)],[c_640,c_2877]) ).
tcf(c_5238,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2167,c_1053]) ).
tcf(c_5240,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1917,c_1053]) ).
tcf(c_5484,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_635,c_2881]) ).
tcf(c_5534,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c11,
inference(superposition,[status(thm)],[c_637,c_2882]) ).
tcf(c_5568,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_3929,c_5031]) ).
tcf(c_5570,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_3929,c_1218]) ).
tcf(c_5582,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4093,c_5031]) ).
tcf(c_5584,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4093,c_1218]) ).
tcf(c_5603,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_4166,c_5031]) ).
tcf(c_5674,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_1056]) ).
tcf(c_5897,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_25 != sk_c10 )
| ( iPr_def_22 != sk_c10 ) ),
inference(instantiation,[status(thm)],[c_2205]) ).
tcf(c_6399,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_4475,c_1218]) ).
tcf(c_6707,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1183,c_2882]) ).
tcf(c_6708,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_6707,c_5534]) ).
tcf(c_6719,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1184,c_2882]) ).
tcf(c_6720,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6719,c_5534]) ).
tcf(c_6752,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1189,c_2876]) ).
tcf(c_6753,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_6752,c_5012]) ).
tcf(c_6788,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1192,c_2876]) ).
tcf(c_6789,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_6788,c_5012]) ).
tcf(c_6828,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1193,c_2876]) ).
tcf(c_6829,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_6828,c_5012]) ).
tcf(c_6891,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1224,c_2881]) ).
tcf(c_6892,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_6891,c_5484]) ).
tcf(c_6921,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1239,c_2876]) ).
tcf(c_6922,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_6921,c_5012]) ).
tcf(c_7078,plain,
! [X0: $i] :
( ( identity = X0 )
| ( identity != identity )
| ( X0 != identity ) ),
inference(instantiation,[status(thm)],[c_3334]) ).
tcf(c_7079,plain,
( ( identity = sk_c11 )
| ( identity != identity )
| ( sk_c11 != identity ) ),
inference(instantiation,[status(thm)],[c_7078]) ).
tcf(c_7094,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1269,c_2877]) ).
tcf(c_7095,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7094,c_5031]) ).
tcf(c_7162,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1286,c_2881]) ).
tcf(c_7163,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_7162,c_5484]) ).
tcf(c_7419,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1367,c_2881]) ).
tcf(c_7420,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_7419,c_5484]) ).
tcf(c_7580,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1414,c_2881]) ).
tcf(c_7581,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7580,c_5484]) ).
tcf(c_7780,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1475,c_2876]) ).
tcf(c_7781,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_7780,c_5012]) ).
tcf(c_7862,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_2167,c_1478]) ).
tcf(c_7909,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1521,c_2881]) ).
tcf(c_7910,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_7909,c_5484]) ).
tcf(c_8014,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1586,c_2881]) ).
tcf(c_8015,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_8014,c_5484]) ).
tcf(c_8697,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_1839,c_2876]) ).
tcf(c_8698,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_8697,c_5012]) ).
tcf(c_8765,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_1882,c_2877]) ).
tcf(c_8766,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_8765,c_5031]) ).
tcf(c_8834,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_1923,c_2881]) ).
tcf(c_8835,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_8834,c_5484]) ).
tcf(c_9546,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2269,c_2881]) ).
tcf(c_9547,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_9546,c_5484]) ).
tcf(c_9681,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_2167,c_2334]) ).
tcf(c_9742,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2391,c_2881]) ).
tcf(c_9743,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_9742,c_5484]) ).
tcf(c_9788,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_2500,c_2881]) ).
tcf(c_9789,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_9788,c_5484]) ).
tcf(c_10349,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_5674,c_105]) ).
tcf(c_12737,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_2263,c_673,c_693,c_1297,c_1321,c_3691]) ).
tcf(c_12811,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_12737,c_635]) ).
tcf(c_13239,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_1297,c_1322,c_3691]) ).
tcf(c_13273,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_13239,c_12737]) ).
tcf(c_13648,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2865,c_103]) ).
tcf(c_13674,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_13648]) ).
tcf(c_13675,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_13648]) ).
tcf(c_13676,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_13648]) ).
tcf(c_13835,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2882,c_13648]) ).
tcf(c_13836,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2881,c_13648]) ).
tcf(c_13837,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2880,c_13648]) ).
tcf(c_13838,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2879,c_13648]) ).
tcf(c_13840,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2877,c_13648]) ).
tcf(c_13841,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_2876,c_13648]) ).
tcf(c_13897,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13648,c_13648]) ).
tcf(c_14258,plain,
( ( iPr_def_28 = sk_c10 )
| ( iPr_def_28 != iPr_def_28 )
| ( sk_c10 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_3550]) ).
tcf(c_14259,plain,
iPr_def_28 = iPr_def_28,
inference(instantiation,[status(thm)],[c_697]) ).
tcf(c_14640,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13675,c_13897]) ).
tcf(c_14669,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14640,c_13674]) ).
tcf(c_14769,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_683,c_2717]) ).
tcf(c_14772,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_673,c_2717]) ).
tcf(c_14776,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_663,c_2717]) ).
tcf(c_14950,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_14769,c_8698,c_14769]) ).
tcf(c_14956,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_14772,c_7781,c_14772]) ).
tcf(c_14962,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_14776,c_6922,c_14776]) ).
tcf(c_15038,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1022,c_3473]) ).
tcf(c_15039,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_1010,c_3473]) ).
tcf(c_15044,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_3473]) ).
tcf(c_15045,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_655,c_3473]) ).
tcf(c_15047,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_653,c_3473]) ).
tcf(c_15048,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_652,c_3473]) ).
tcf(c_15049,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_3473]) ).
tcf(c_15087,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_15044,c_7163,c_15044]) ).
tcf(c_15093,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_15045,c_7095,c_15045]) ).
tcf(c_15099,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_10
| ( sk_c11 = iPr_def_24 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2593,c_15093]) ).
tcf(c_15104,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c11 = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_15099,c_641,c_1729,c_2113,c_3629,c_7095,c_7910,c_8766,c_9743,c_15045]) ).
tcf(c_15119,plain,
multiply(sk_c3,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_13835,c_104]) ).
tcf(c_15140,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_4814,c_15119]) ).
tcf(c_15180,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_15047,c_6892,c_15047]) ).
tcf(c_15186,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_15048,c_6708,c_15048]) ).
tcf(c_15202,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_15049,c_6720,c_15049]) ).
tcf(c_15361,plain,
multiply(sk_c4,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_13836,c_104]) ).
tcf(c_15382,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_12811,c_15361]) ).
tcf(c_15385,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_1224,c_15361]) ).
tcf(c_15546,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_15382,c_15140]) ).
tcf(c_15885,plain,
! [X0: $i] :
( ( X0 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_28 )
| ( X0 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_3765]) ).
tcf(c_15886,plain,
( ( sk_c11 = iPr_def_14 )
| ( iPr_def_14 != iPr_def_28 )
| ( sk_c11 != iPr_def_28 ) ),
inference(instantiation,[status(thm)],[c_15885]) ).
tcf(c_15963,plain,
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_15385,c_626]) ).
tcf(c_16564,plain,
multiply(sk_c5,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_13837,c_104]) ).
tcf(c_16584,plain,
( ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_2130,c_16564]) ).
tcf(c_16586,plain,
( ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_1390,c_16564]) ).
tcf(c_17011,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_16586,c_16584]) ).
tcf(c_17646,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_17011,c_15382]) ).
tcf(c_17651,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_17011,c_103]) ).
tcf(c_17834,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_2585,c_641,c_676,c_1297,c_1322,c_3629,c_8835,c_9789,c_15087]) ).
tcf(c_17842,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_2587,c_641,c_673,c_1297,c_1321,c_3625,c_15104,c_15180,c_17834]) ).
tcf(c_17850,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_2590,c_641,c_1403,c_3625,c_15104,c_17834]) ).
tcf(c_18164,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_18)) != sk_c11 )
| ( multiply(sk_c7,sk_c11) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_13838,c_646]) ).
tcf(c_18208,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_2591,c_641,c_1379,c_3625,c_15104,c_17834,c_17842]) ).
tcf(c_18252,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_2695,c_14669]) ).
tcf(c_18684,plain,
( ~ iPr_def_11
| ( sk_c9 != identity )
| ( sk_c11 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_3455,c_14669]) ).
tcf(c_18710,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_11
| ( identity != iPr_def_23 )
| ( sk_c11 != sk_c9 ) ),
inference(superposition,[status(thm)],[c_664,c_18684]) ).
tcf(c_18713,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11
| ( identity != iPr_def_23 )
| ( sk_c11 != sk_c9 ) ),
inference(superposition,[status(thm)],[c_654,c_18684]) ).
tcf(c_19397,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_5238,c_1729,c_2113,c_3691,c_7862,c_9681,c_14258,c_14259]) ).
tcf(c_20613,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_16 ) ),
inference(global_subsumption_just,[status(thm)],[c_5240,c_1544,c_1545,c_1568,c_1569,c_5897,c_6753,c_6789]) ).
tcf(c_20635,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20613,c_3473]) ).
tcf(c_20662,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_20613,c_694]) ).
tcf(c_20666,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_20613,c_638]) ).
tcf(c_21021,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(global_subsumption_just,[status(thm)],[c_20662,c_1544,c_1545,c_1568,c_1569,c_5897,c_9547,c_9789]) ).
tcf(c_21235,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_17651,c_4738]) ).
tcf(c_21237,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_17651,c_19397]) ).
tcf(c_21454,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_14 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_21235,c_18252]) ).
tcf(c_22734,plain,
multiply(sk_c1,iPr_def_27) = identity,
inference(superposition,[status(thm)],[c_13840,c_104]) ).
tcf(c_22738,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_27,X0)) = X0,
inference(superposition,[status(thm)],[c_13840,c_13648]) ).
tcf(c_22739,plain,
multiply(sk_c1,identity) = inverse(iPr_def_27),
inference(superposition,[status(thm)],[c_13840,c_14640]) ).
tcf(c_22775,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_4479,c_22734]) ).
tcf(c_22776,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_4096,c_22734]) ).
tcf(c_22777,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_3931,c_22734]) ).
tcf(c_22779,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1767,c_22734]) ).
tcf(c_22780,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_1701,c_22734]) ).
tcf(c_22973,plain,
inverse(iPr_def_27) = sk_c1,
inference(demodulation,[status(thm)],[c_22739,c_14640]) ).
tcf(c_22978,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_4475,c_22973]) ).
tcf(c_23080,plain,
multiply(sk_c1,sk_c11) = iPr_def_28,
inference(superposition,[status(thm)],[c_5031,c_22738]) ).
tcf(c_24023,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_22775,c_14669]) ).
tcf(c_24075,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_22776,c_14669]) ).
tcf(c_24154,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_22777,c_14669]) ).
tcf(c_24660,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_22780,c_22779]) ).
tcf(c_25208,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_24660,c_103]) ).
tcf(c_26202,plain,
multiply(sk_c2,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_13841,c_104]) ).
tcf(c_26223,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_20666,c_26202]) ).
tcf(c_26225,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_2989,c_26202]) ).
tcf(c_26226,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_2849,c_26202]) ).
tcf(c_26227,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_1194,c_26202]) ).
tcf(c_26228,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1193,c_26202]) ).
tcf(c_26229,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1192,c_26202]) ).
tcf(c_26230,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_1190,c_26202]) ).
tcf(c_26332,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_26223,c_22775]) ).
tcf(c_26341,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26223,c_14669]) ).
tcf(c_26343,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26223,c_103]) ).
tcf(c_26488,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26225,c_103]) ).
tcf(c_26566,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_26226,c_103]) ).
tcf(c_27040,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26228,c_26227]) ).
tcf(c_27376,plain,
( ( identity = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_26229,c_635]) ).
tcf(c_27380,plain,
( ( identity = iPr_def_26 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_27376,c_15361]) ).
tcf(c_27516,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( identity = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26230,c_26227]) ).
tcf(c_27936,plain,
! [X0: $i] :
( ( identity = iPr_def_23 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27380,c_103]) ).
tcf(c_28086,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26332,c_13273]) ).
tcf(c_28890,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27040,c_103]) ).
tcf(c_29062,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_27516,c_103]) ).
tcf(c_30413,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_666,c_3253]) ).
tcf(c_30414,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_663,c_3253]) ).
tcf(c_30796,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_666,c_3254]) ).
tcf(c_30797,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_663,c_3254]) ).
tcf(c_31335,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26343,c_3140]) ).
tcf(c_32291,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26488,c_3088]) ).
tcf(c_32300,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26488,c_5582]) ).
tcf(c_32529,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_26566,c_3043]) ).
tcf(c_32538,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_26566,c_5568]) ).
tcf(c_32539,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_26566,c_5570]) ).
tcf(c_33125,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != iPr_def_14 )
| ( sk_c10 != identity ) ),
inference(superposition,[status(thm)],[c_31335,c_18252]) ).
tcf(c_34654,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_32300,c_1740]) ).
tcf(c_35459,plain,
( ( iPr_def_27 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_32538,c_1681]) ).
tcf(c_36084,plain,
( ( identity = iPr_def_23 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_27936,c_15963]) ).
tcf(c_37103,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_34654,c_4675]) ).
tcf(c_38626,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_35459,c_4538]) ).
tcf(c_39070,plain,
( ( identity = iPr_def_23 )
| ~ iPr_def_11
| ( iPr_def_14 != iPr_def_16 )
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_36084,c_3473]) ).
tcf(c_39113,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_36084,c_653]) ).
tcf(c_40130,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( identity = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_39113,c_635]) ).
tcf(c_40138,plain,
( ( iPr_def_14 = iPr_def_16 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_40130,c_15361]) ).
tcf(c_40419,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_14) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_37103,c_22973]) ).
tcf(c_40486,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_14) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_38626,c_22973]) ).
tcf(c_41710,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_42407,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_42514,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_675]) ).
tcf(c_42592,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_3625,c_15104,c_17834]) ).
tcf(c_42774,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_43021,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 )
| ( inverse(sk_c3) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_637,c_646]) ).
tcf(c_43035,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 )
| ( sk_c11 != iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_43021,c_636]) ).
tcf(c_46759,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_14) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_28086,c_22978]) ).
tcf(c_48215,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_13273,c_24023]) ).
tcf(c_49104,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_42514,c_41710]) ).
tcf(c_49352,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_5584,c_26488]) ).
tcf(c_49726,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4675,c_24075]) ).
tcf(c_49780,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_14) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_4538,c_24154]) ).
tcf(c_50391,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_5603,c_28890]) ).
tcf(c_51419,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_50391,c_626]) ).
tcf(c_53919,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_42774,c_103]) ).
tcf(c_53945,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_53919]) ).
tcf(c_53946,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_53919]) ).
tcf(c_54155,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_53919,c_53919]) ).
tcf(c_56170,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_51419,c_25208]) ).
tcf(c_56500,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_56170,c_654]) ).
tcf(c_56692,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_26341,c_22978]) ).
tcf(c_57870,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_56500,c_56170]) ).
tcf(c_58997,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,sk_c11) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_56692,c_640]) ).
tcf(c_60770,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_53946,c_54155]) ).
tcf(c_60797,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_60770,c_53945]) ).
tcf(c_61263,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_58997,c_26343]) ).
tcf(c_61793,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_42407,c_12737]) ).
tcf(c_65535,plain,
( ~ iPr_def_10
| ( sk_c10 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_43035,c_3629,c_3625,c_8766,c_9743]) ).
tcf(c_65537,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_65535,c_3629,c_8835,c_9789,c_65535]) ).
tcf(c_65577,plain,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_18164,c_3629,c_8835,c_9789,c_65535]) ).
tcf(c_65580,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c10 != iPr_def_14 ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_641,c_65577]) ).
tcf(c_84854,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_48215,c_46759]) ).
tcf(c_86496,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_49726,c_40419]) ).
tcf(c_86548,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_86496,c_49352]) ).
tcf(c_86752,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c1 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_49780,c_40486]) ).
tcf(c_88246,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_86752,c_32539]) ).
tcf(c_90748,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 ) ),
inference(global_subsumption_just,[status(thm)],[c_18710,c_3473,c_15385,c_18713,c_18710,c_39070,c_40138]) ).
tcf(c_90750,plain,
( ( sk_c11 != sk_c9 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_90748,c_3473,c_18713,c_39070,c_40138,c_90748]) ).
tcf(c_90751,plain,
( ~ iPr_def_11
| ( sk_c11 != sk_c9 ) ),
inference(renaming,[status(thm)],[c_90750]) ).
tcf(c_90787,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_664,c_90751]) ).
tcf(c_90790,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_654,c_90751]) ).
tcf(c_90962,plain,
( ( sk_c11 != iPr_def_23 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_90787,c_3473,c_90790,c_90787]) ).
tcf(c_90963,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_90962]) ).
tcf(c_90997,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_21 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2167,c_90963]) ).
tcf(c_92514,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c11)),multiply(X0,iPr_def_14)) = sk_c9,
inference(superposition,[status(thm)],[c_626,c_13676]) ).
tcf(c_92576,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),multiply(X0,identity)) = iPr_def_16,
inference(superposition,[status(thm)],[c_26202,c_13676]) ).
tcf(c_93034,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c2)),X0) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_92576,c_14640]) ).
tcf(c_105277,plain,
multiply(inverse(multiply(inverse(iPr_def_14),sk_c11)),identity) = sk_c9,
inference(superposition,[status(thm)],[c_104,c_92514]) ).
tcf(c_106555,plain,
( ( sk_c10 = identity )
| ( identity != iPr_def_25 )
| ( sk_c10 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_1404]) ).
tcf(c_108832,plain,
inverse(multiply(inverse(iPr_def_14),sk_c11)) = sk_c9,
inference(demodulation,[status(thm)],[c_105277,c_14640]) ).
tcf(c_108853,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(multiply(sk_c1,sk_c11)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_40419,c_108832]) ).
tcf(c_108910,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_28) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_108853,c_23080]) ).
tcf(c_122886,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_122913,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_25 != X0 )
| ( iPr_def_14 != X0 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_122987,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_25 = X0 )
| ( iPr_def_25 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_123150,plain,
! [X0: $i] :
( ( iPr_def_25 = X0 )
| ( iPr_def_25 != iPr_def_25 )
| ( X0 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_122987]) ).
tcf(c_123436,plain,
! [X0: $i,X1: $i] :
( ( X0 = identity )
| ( identity != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_698]) ).
tcf(c_171018,plain,
! [X0: $i] :
( ( sk_c10 = identity )
| ( identity != X0 )
| ( sk_c10 != X0 ) ),
inference(instantiation,[status(thm)],[c_122886]) ).
tcf(c_171021,plain,
( ( sk_c10 = identity )
| ( identity != sk_c11 )
| ( sk_c10 != sk_c11 ) ),
inference(instantiation,[status(thm)],[c_171018]) ).
tcf(c_182185,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_29062,c_93034]) ).
tcf(c_182187,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_28890,c_93034]) ).
tcf(c_182266,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c9 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_182187,c_628,c_5012]) ).
tcf(c_182272,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c9 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_182185,c_628,c_5012]) ).
tcf(c_188136,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_182266,c_694]) ).
tcf(c_188138,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_182266,c_674]) ).
tcf(c_189777,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_188138,c_188136]) ).
tcf(c_191555,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_182272,c_694]) ).
tcf(c_191557,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_182272,c_674]) ).
tcf(c_197849,plain,
( ( iPr_def_25 = iPr_def_23 )
| ( iPr_def_25 != iPr_def_25 )
| ( iPr_def_23 != iPr_def_25 ) ),
inference(instantiation,[status(thm)],[c_123150]) ).
tcf(c_197951,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_16 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_191557,c_191555]) ).
tcf(c_215506,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c1 = identity ) ),
inference(superposition,[status(thm)],[c_6399,c_26343]) ).
tcf(c_220154,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( iPr_def_25 != iPr_def_23 )
| ( iPr_def_14 != iPr_def_23 ) ),
inference(instantiation,[status(thm)],[c_122913]) ).
tcf(c_223564,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_215506,c_84854]) ).
tcf(c_241167,plain,
! [X0: $i] :
( ( sk_c10 = X0 )
| ( sk_c10 != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_122886]) ).
tcf(c_251239,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_108910,c_24075]) ).
tcf(c_255139,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_49104,c_1569,c_2107,c_8015,c_15546,c_21237,c_197849,c_220154]) ).
tcf(c_255197,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_255139,c_61793]) ).
tcf(c_255219,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_255139,c_42592]) ).
tcf(c_255420,plain,
( iPr_def_13
| ( iPr_def_14 = iPr_def_28 ) ),
inference(global_subsumption_just,[status(thm)],[c_255219,c_1403,c_1569,c_13239,c_15140,c_15546,c_17646,c_21237,c_21454,c_42592,c_90997,c_106555,c_197849,c_220154,c_255139]) ).
tcf(c_258170,plain,
! [X0: $i] :
( ( X0 = identity )
| ( identity != iPr_def_14 )
| ( X0 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_123436]) ).
tcf(c_258171,plain,
( ( sk_c11 = identity )
| ( identity != iPr_def_14 )
| ( sk_c11 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_258170]) ).
tcf(c_260730,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_251239,c_4100]) ).
tcf(c_260777,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_260730,c_5031]) ).
tcf(c_263503,plain,
( ( sk_c10 = sk_c9 )
| ( sk_c9 != iPr_def_14 )
| ( sk_c10 != iPr_def_14 ) ),
inference(instantiation,[status(thm)],[c_241167]) ).
tcf(c_269479,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_647,c_649]) ).
tcf(c_269491,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_648,c_651]) ).
tcf(c_269510,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_654,c_653]) ).
tcf(c_269511,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_654,c_652]) ).
tcf(c_269512,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_654,c_650]) ).
tcf(c_269522,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_654,c_626]) ).
tcf(c_269523,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_653,c_626]) ).
tcf(c_269524,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_652,c_626]) ).
tcf(c_269525,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_650,c_626]) ).
tcf(c_269534,plain,
( ( sk_c9 = iPr_def_16 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_649,c_629]) ).
tcf(c_269535,plain,
( ( sk_c9 = iPr_def_16 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_647,c_629]) ).
tcf(c_269545,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_655,c_626]) ).
tcf(c_269546,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_655,c_654]) ).
tcf(c_269557,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_656,c_626]) ).
tcf(c_269558,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_656,c_654]) ).
tcf(c_269569,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_657,c_629]) ).
tcf(c_269585,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_659,c_657]) ).
tcf(c_269586,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_659,c_629]) ).
tcf(c_269596,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_626]) ).
tcf(c_269605,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_661,c_658]) ).
tcf(c_269613,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_626]) ).
tcf(c_269616,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_661,c_627]) ).
tcf(c_269617,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_658,c_627]) ).
tcf(c_269618,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_651,c_627]) ).
tcf(c_269619,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_648,c_627]) ).
tcf(c_269628,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_661,c_631]) ).
tcf(c_269629,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_658,c_631]) ).
tcf(c_269630,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_651,c_631]) ).
tcf(c_269631,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c10) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_648,c_631]) ).
tcf(c_269640,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_661,c_633]) ).
tcf(c_269641,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_658,c_633]) ).
tcf(c_269642,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_651,c_633]) ).
tcf(c_269643,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_648,c_633]) ).
tcf(c_269652,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_662,c_637]) ).
tcf(c_269653,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_660,c_637]) ).
tcf(c_269658,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_638]) ).
tcf(c_269659,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_655,c_638]) ).
tcf(c_269660,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_654,c_638]) ).
tcf(c_269661,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_653,c_638]) ).
tcf(c_269662,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_652,c_638]) ).
tcf(c_269663,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_638]) ).
tcf(c_269676,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_662,c_640]) ).
tcf(c_269677,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_660,c_640]) ).
tcf(c_269682,plain,
multiply(iPr_def_24,sk_c3) = identity,
inference(superposition,[status(thm)],[c_636,c_104]) ).
tcf(c_269683,plain,
multiply(iPr_def_22,sk_c4) = identity,
inference(superposition,[status(thm)],[c_634,c_104]) ).
tcf(c_269684,plain,
multiply(iPr_def_20,sk_c5) = identity,
inference(superposition,[status(thm)],[c_632,c_104]) ).
tcf(c_269685,plain,
multiply(iPr_def_18,sk_c7) = identity,
inference(superposition,[status(thm)],[c_630,c_104]) ).
tcf(c_269686,plain,
multiply(iPr_def_17,sk_c6) = identity,
inference(superposition,[status(thm)],[c_629,c_104]) ).
tcf(c_269687,plain,
multiply(iPr_def_27,sk_c1) = identity,
inference(superposition,[status(thm)],[c_639,c_104]) ).
tcf(c_269688,plain,
multiply(iPr_def_16,sk_c2) = identity,
inference(superposition,[status(thm)],[c_628,c_104]) ).
tcf(c_269689,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_60797,c_104]) ).
tcf(c_269694,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_663,c_635]) ).
tcf(c_269695,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_663,c_631]) ).
tcf(c_269709,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_664,c_638]) ).
tcf(c_269710,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_664,c_656]) ).
tcf(c_269711,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_664,c_655]) ).
tcf(c_269712,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_664,c_626]) ).
tcf(c_269713,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_664,c_653]) ).
tcf(c_269714,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_664,c_652]) ).
tcf(c_269715,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_664,c_650]) ).
tcf(c_269739,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_665,c_640]) ).
tcf(c_269740,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_665,c_637]) ).
tcf(c_269741,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_626]) ).
tcf(c_269752,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_663,c_666]) ).
tcf(c_269754,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_666,c_635]) ).
tcf(c_269755,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_666,c_631]) ).
tcf(c_269768,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_667,c_659]) ).
tcf(c_269769,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_667,c_629]) ).
tcf(c_269782,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_269783,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_269784,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_269785,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_668,c_661]) ).
tcf(c_269803,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_669,c_667]) ).
tcf(c_269805,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_669,c_629]) ).
tcf(c_269817,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_666]) ).
tcf(c_269818,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_663]) ).
tcf(c_269819,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_269820,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_269838,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_671,c_668]) ).
tcf(c_269839,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_269840,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_269841,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_269858,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_672,c_666]) ).
tcf(c_269859,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_672,c_663]) ).
tcf(c_269860,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_269861,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_269880,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_269881,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_269882,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_673,c_666]) ).
tcf(c_269883,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_269884,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_269918,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_674,c_638]) ).
tcf(c_269919,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_656]) ).
tcf(c_269920,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_674,c_655]) ).
tcf(c_269921,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_269922,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_653]) ).
tcf(c_269923,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_674,c_652]) ).
tcf(c_269924,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_674,c_650]) ).
tcf(c_269956,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_269957,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_666]) ).
tcf(c_269958,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_663]) ).
tcf(c_269959,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_269960,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_269997,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_269998,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_676,c_673]) ).
tcf(c_269999,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_270000,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_270002,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_270003,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_270038,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_677,c_659]) ).
tcf(c_270039,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_677,c_629]) ).
tcf(c_270054,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_270055,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_270056,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_270057,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_678,c_661]) ).
tcf(c_270076,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_679,c_677]) ).
tcf(c_270079,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_679,c_629]) ).
tcf(c_270100,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_680,c_665]) ).
tcf(c_270101,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_270102,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_270103,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_680,c_662]) ).
tcf(c_270104,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_680,c_660]) ).
tcf(c_270105,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_270136,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_681,c_678]) ).
tcf(c_270138,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_270139,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_270140,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_270169,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_682,c_665]) ).
tcf(c_270170,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_270171,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_270172,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_682,c_662]) ).
tcf(c_270174,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_270204,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_270205,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_270206,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_270207,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_683,c_666]) ).
tcf(c_270208,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_270209,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_270235,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_684,c_638]) ).
tcf(c_270236,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_656]) ).
tcf(c_270237,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_684,c_655]) ).
tcf(c_270238,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_270239,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_684,c_653]) ).
tcf(c_270240,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_684,c_652]) ).
tcf(c_270241,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_684,c_650]) ).
tcf(c_270280,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_685,c_665]) ).
tcf(c_270281,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_270282,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_270285,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_270314,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_686,c_683]) ).
tcf(c_270315,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_270317,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_270318,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_270320,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_270321,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_270353,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_270354,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_270355,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_687,c_659]) ).
tcf(c_270356,plain,
( ( sk_c10 = iPr_def_28 )
| ( inverse(iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_687,c_629]) ).
tcf(c_270377,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_270378,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_270379,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_270380,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_270381,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_270382,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_688,c_661]) ).
tcf(c_270414,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_269686]) ).
tcf(c_270415,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_679,c_269686]) ).
tcf(c_270416,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_269686]) ).
tcf(c_270417,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_669,c_269686]) ).
tcf(c_270418,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_269686]) ).
tcf(c_270419,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_659,c_269686]) ).
tcf(c_270420,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_657,c_269686]) ).
tcf(c_270421,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_649,c_269686]) ).
tcf(c_270422,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_15) = identity ) ),
inference(superposition,[status(thm)],[c_647,c_269686]) ).
tcf(c_270465,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_18) = identity ) ),
inference(superposition,[status(thm)],[c_689,c_269686]) ).
tcf(c_270466,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_689,c_687]) ).
tcf(c_270470,plain,
( ( sk_c10 = iPr_def_28 )
| ( inverse(iPr_def_18) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_689,c_629]) ).
tcf(c_270505,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_270506,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_270507,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_270508,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_270509,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_270510,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_270511,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_670]) ).
tcf(c_270512,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_666]) ).
tcf(c_270513,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_663]) ).
tcf(c_270514,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_270515,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_270579,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_691,c_688]) ).
tcf(c_270582,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_270583,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_270584,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_270608,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_270609,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_270610,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_270611,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_270612,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_270613,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_672]) ).
tcf(c_270615,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_666]) ).
tcf(c_270616,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_692,c_663]) ).
tcf(c_270617,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_270618,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_270659,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_270660,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_270661,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_270662,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_270663,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_270664,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_270665,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_270666,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_693,c_666]) ).
tcf(c_270667,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_693,c_663]) ).
tcf(c_270668,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_270669,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_270735,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c2,iPr_def_23) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_694,c_638]) ).
tcf(c_270736,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_694,c_656]) ).
tcf(c_270737,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_694,c_655]) ).
tcf(c_270738,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_270739,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_694,c_653]) ).
tcf(c_270740,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_694,c_652]) ).
tcf(c_270741,plain,
( ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_694,c_650]) ).
tcf(c_270782,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_270783,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_270784,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_270785,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_675]) ).
tcf(c_270786,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_270789,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_666]) ).
tcf(c_270790,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_695,c_663]) ).
tcf(c_270791,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_270792,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_270849,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_270850,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_270851,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_270852,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_270853,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_270854,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_270855,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_270856,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_696,c_666]) ).
tcf(c_270857,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_696,c_663]) ).
tcf(c_270858,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_270859,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_270900,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_42592]) ).
tcf(c_270910,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_270900]) ).
tcf(c_270912,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_270900]) ).
tcf(c_270915,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_270900]) ).
tcf(c_270916,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_270900]) ).
tcf(c_270917,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_270900]) ).
tcf(c_270918,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_675,c_270900]) ).
tcf(c_270919,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_270900]) ).
tcf(c_270920,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_672,c_270900]) ).
tcf(c_270921,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_270900]) ).
tcf(c_270922,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_26 )
| ( iPr_def_14 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_666,c_270900]) ).
tcf(c_270923,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( sk_c11 = iPr_def_26 )
| ( iPr_def_14 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_663,c_270900]) ).
tcf(c_270990,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c2) = multiply(iPr_def_26,identity) ) ),
inference(superposition,[status(thm)],[c_269688,c_10349]) ).
tcf(c_271003,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_271004,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_271005,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_271006,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_271007,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_271008,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_271009,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_271010,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c9,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_638,c_105]) ).
tcf(c_271011,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_103,c_105]) ).
tcf(c_271012,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_104,c_105]) ).
tcf(c_271014,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269682,c_105]) ).
tcf(c_271015,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269683,c_105]) ).
tcf(c_271016,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269684,c_105]) ).
tcf(c_271017,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269685,c_105]) ).
tcf(c_271018,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269686,c_105]) ).
tcf(c_271019,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269687,c_105]) ).
tcf(c_271020,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_269688,c_105]) ).
tcf(c_271021,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(iPr_def_14,X0),X1) ) ),
inference(superposition,[status(thm)],[c_10349,c_105]) ).
tcf(c_271022,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_271023,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271020,c_103]) ).
tcf(c_271024,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271019,c_103]) ).
tcf(c_271025,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271018,c_103]) ).
tcf(c_271026,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271017,c_103]) ).
tcf(c_271027,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271016,c_103]) ).
tcf(c_271028,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271015,c_103]) ).
tcf(c_271029,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_271014,c_103]) ).
tcf(c_271074,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c11 = iPr_def_24 ) ),
inference(global_subsumption_just,[status(thm)],[c_270918,c_7095,c_7910,c_15045,c_65580]) ).
tcf(c_271082,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c11 = iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_270920,c_6708,c_7581,c_15048,c_65580]) ).
tcf(c_271107,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c11 = iPr_def_19 ) ),
inference(global_subsumption_just,[status(thm)],[c_270921,c_6720,c_7420,c_15049,c_65580]) ).
tcf(c_271128,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269479,c_638]) ).
tcf(c_271129,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269479,c_626]) ).
tcf(c_271144,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269491,c_694]) ).
tcf(c_271145,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_269491,c_684]) ).
tcf(c_271146,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269491,c_674]) ).
tcf(c_271147,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269491,c_664]) ).
tcf(c_271148,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_16) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269491,c_638]) ).
tcf(c_271149,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c11,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269491,c_626]) ).
tcf(c_271150,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_16 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269491,c_654]) ).
tcf(c_271177,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269585,c_685]) ).
tcf(c_271178,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_269585,c_682]) ).
tcf(c_271179,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269585,c_680]) ).
tcf(c_271180,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269585,c_640]) ).
tcf(c_271181,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269585,c_637]) ).
tcf(c_271182,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269585,c_626]) ).
tcf(c_271233,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269605,c_685]) ).
tcf(c_271234,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_269605,c_682]) ).
tcf(c_271235,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269605,c_680]) ).
tcf(c_271236,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269605,c_640]) ).
tcf(c_271237,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269605,c_637]) ).
tcf(c_271238,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269605,c_626]) ).
tcf(c_271322,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( inverse(sk_c4) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_635,c_644]) ).
tcf(c_271323,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(sk_c8) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_631,c_644]) ).
tcf(c_271324,plain,
( ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(identity) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_103,c_644]) ).
tcf(c_271325,plain,
( ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(sk_c10)) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_104,c_644]) ).
tcf(c_271326,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_271327,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_271328,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_271329,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_271330,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_271331,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_271332,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_271333,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_271334,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_271335,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_271336,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_271337,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_271338,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_271339,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_666,c_644]) ).
tcf(c_271340,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_22) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_663,c_644]) ).
tcf(c_271341,plain,
( ~ iPr_def_12
| ( sk_c10 != identity )
| ( sk_c10 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_271324,c_60797]) ).
tcf(c_271348,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( sk_c10 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_271322,c_634]) ).
tcf(c_271477,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(sk_c11) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_626,c_645]) ).
tcf(c_271478,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_26 )
| ( inverse(sk_c2) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_638,c_645]) ).
tcf(c_271479,plain,
( ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(identity) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_103,c_645]) ).
tcf(c_271480,plain,
( ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(sk_c9)) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_104,c_645]) ).
tcf(c_271481,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c9 )
| ( multiply(X0,multiply(X1,sk_c9)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_105,c_645]) ).
tcf(c_271482,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_269491,c_645]) ).
tcf(c_271483,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_269479,c_645]) ).
tcf(c_271484,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_694,c_645]) ).
tcf(c_271485,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_684,c_645]) ).
tcf(c_271486,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_674,c_645]) ).
tcf(c_271487,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_664,c_645]) ).
tcf(c_271488,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_656,c_645]) ).
tcf(c_271489,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_655,c_645]) ).
tcf(c_271490,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_23) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_654,c_645]) ).
tcf(c_271491,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_653,c_645]) ).
tcf(c_271492,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_652,c_645]) ).
tcf(c_271493,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c9 )
| ( multiply(X0,iPr_def_16) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_650,c_645]) ).
tcf(c_271494,plain,
( ~ iPr_def_11
| ( sk_c9 != identity )
| ( sk_c11 != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_271479,c_60797]) ).
tcf(c_271498,plain,
( ~ iPr_def_11
| ( sk_c9 != iPr_def_16 )
| ( sk_c11 != iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_271478,c_628]) ).
tcf(c_271597,negated_conjecture,
~ iPr_def_10,
inference(global_subsumption_just,[status(thm)],[c_646,c_3629,c_8835,c_9789,c_65535]) ).
tcf(c_271621,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_271622,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_271623,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_271624,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_271625,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_271626,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c5) )
| ( multiply(X0,iPr_def_20) != inverse(X0) )
| ( multiply(sk_c5,inverse(sk_c5)) != sk_c11 )
| ( multiply(inverse(sk_c5),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_632,c_642]) ).
tcf(c_271627,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(sk_c7) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(sk_c7,inverse(sk_c7)) != sk_c11 )
| ( multiply(inverse(sk_c7),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_630,c_642]) ).
tcf(c_271628,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_271629,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_271630,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_271631,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_60797,c_642]) ).
tcf(c_271632,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_271621,c_60797]) ).
tcf(c_271637,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_271631,c_60797]) ).
tcf(c_271643,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_271630,c_628]) ).
tcf(c_271649,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_271629,c_639]) ).
tcf(c_271655,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_271628,c_629]) ).
tcf(c_271661,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_18,sk_c10) != sk_c11 )
| ( multiply(sk_c7,iPr_def_18) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_18 )
| ( multiply(X0,iPr_def_18) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271627,c_630]) ).
tcf(c_271667,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(iPr_def_20,sk_c10) != sk_c11 )
| ( multiply(sk_c5,iPr_def_20) != sk_c11 )
| ( inverse(inverse(X0)) != iPr_def_20 )
| ( multiply(X0,iPr_def_20) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_271626,c_632]) ).
tcf(c_271673,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_271625,c_634]) ).
tcf(c_271679,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_271624,c_636]) ).
tcf(c_271733,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_269752,c_685]) ).
tcf(c_271734,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_269752,c_682]) ).
tcf(c_271735,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269752,c_680]) ).
tcf(c_271736,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_269752,c_640]) ).
tcf(c_271737,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269752,c_637]) ).
tcf(c_271738,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269752,c_626]) ).
tcf(c_271798,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269803,c_644]) ).
tcf(c_271799,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_269803,c_270900]) ).
tcf(c_271800,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269803,c_696]) ).
tcf(c_271802,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269803,c_693]) ).
tcf(c_271805,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_269803,c_686]) ).
tcf(c_271806,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_269803,c_683]) ).
tcf(c_271807,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269803,c_676]) ).
tcf(c_271808,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269803,c_673]) ).
tcf(c_271809,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269803,c_666]) ).
tcf(c_271810,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269803,c_663]) ).
tcf(c_271811,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269803,c_635]) ).
tcf(c_271812,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269803,c_631]) ).
tcf(c_271895,plain,
( iPr_def_13
| ( iPr_def_15 = iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_271799,c_1116,c_1351,c_1729,c_1988,c_2036,c_2113,c_3552,c_4538,c_7079,c_15039,c_15886,c_32538,c_32529,c_42592,c_88246,c_171021,c_258171,c_263503,c_271341]) ).
tcf(c_271916,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269838,c_644]) ).
tcf(c_271917,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269838,c_270900]) ).
tcf(c_271918,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269838,c_696]) ).
tcf(c_271920,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269838,c_693]) ).
tcf(c_271923,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_269838,c_686]) ).
tcf(c_271924,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_269838,c_683]) ).
tcf(c_271925,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269838,c_676]) ).
tcf(c_271926,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269838,c_673]) ).
tcf(c_271927,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269838,c_666]) ).
tcf(c_271928,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269838,c_663]) ).
tcf(c_271929,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269838,c_635]) ).
tcf(c_271930,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269838,c_631]) ).
tcf(c_271988,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_30413,c_105]) ).
tcf(c_272006,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269998,c_644]) ).
tcf(c_272007,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269998,c_270900]) ).
tcf(c_272008,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269998,c_696]) ).
tcf(c_272010,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269998,c_693]) ).
tcf(c_272013,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_269998,c_686]) ).
tcf(c_272014,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_269998,c_683]) ).
tcf(c_272015,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269998,c_676]) ).
tcf(c_272016,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269998,c_673]) ).
tcf(c_272017,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269998,c_666]) ).
tcf(c_272018,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269998,c_663]) ).
tcf(c_272019,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269998,c_635]) ).
tcf(c_272020,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269998,c_631]) ).
tcf(c_272101,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270076,c_269752]) ).
tcf(c_272102,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270076,c_269605]) ).
tcf(c_272103,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270076,c_269585]) ).
tcf(c_272105,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270076,c_640]) ).
tcf(c_272106,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270076,c_637]) ).
tcf(c_272109,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270076,c_626]) ).
tcf(c_272165,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270104,c_270076]) ).
tcf(c_272166,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270104,c_269752]) ).
tcf(c_272167,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270104,c_269605]) ).
tcf(c_272168,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270104,c_269585]) ).
tcf(c_272169,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270104,c_685]) ).
tcf(c_272170,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270104,c_682]) ).
tcf(c_272171,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270104,c_680]) ).
tcf(c_272172,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270104,c_665]) ).
tcf(c_272173,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270104,c_640]) ).
tcf(c_272174,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270104,c_637]) ).
tcf(c_272175,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270104,c_662]) ).
tcf(c_272176,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270104,c_660]) ).
tcf(c_272177,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_626]) ).
tcf(c_272241,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270136,c_270104]) ).
tcf(c_272242,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270136,c_269752]) ).
tcf(c_272243,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270136,c_269605]) ).
tcf(c_272246,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270136,c_640]) ).
tcf(c_272247,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270136,c_637]) ).
tcf(c_272250,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270136,c_626]) ).
tcf(c_272271,plain,
( iPr_def_13
| ( iPr_def_17 = iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_271917,c_1136,c_1389,c_1729,c_1988,c_2113,c_2127,c_3552,c_7079,c_15038,c_32300,c_32291,c_42592,c_86548,c_171021,c_258171,c_260777,c_263503,c_271341]) ).
tcf(c_272295,plain,
( iPr_def_13
| ( iPr_def_22 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_272007,c_641,c_1284,c_1582,c_1729,c_1988,c_2113,c_3552,c_7079,c_13273,c_15886,c_20635,c_21021,c_33125,c_61263,c_65537,c_171021,c_223564,c_258171]) ).
tcf(c_272317,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270172,c_270136]) ).
tcf(c_272318,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270172,c_270104]) ).
tcf(c_272319,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270172,c_270076]) ).
tcf(c_272320,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_270172,c_269752]) ).
tcf(c_272321,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270172,c_269605]) ).
tcf(c_272322,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270172,c_269585]) ).
tcf(c_272323,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270172,c_685]) ).
tcf(c_272324,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270172,c_682]) ).
tcf(c_272325,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270172,c_680]) ).
tcf(c_272326,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270172,c_665]) ).
tcf(c_272327,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270172,c_640]) ).
tcf(c_272328,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270172,c_637]) ).
tcf(c_272329,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270172,c_662]) ).
tcf(c_272330,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270172,c_660]) ).
tcf(c_272331,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_626]) ).
tcf(c_272447,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270280,c_270172]) ).
tcf(c_272448,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270280,c_270136]) ).
tcf(c_272449,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_19 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270280,c_270104]) ).
tcf(c_272450,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270280,c_270076]) ).
tcf(c_272451,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270280,c_269752]) ).
tcf(c_272452,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270280,c_269605]) ).
tcf(c_272453,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270280,c_269585]) ).
tcf(c_272454,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270280,c_685]) ).
tcf(c_272455,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270280,c_682]) ).
tcf(c_272456,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270280,c_680]) ).
tcf(c_272457,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_270280,c_665]) ).
tcf(c_272458,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270280,c_640]) ).
tcf(c_272459,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270280,c_637]) ).
tcf(c_272460,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_270280,c_662]) ).
tcf(c_272461,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270280,c_660]) ).
tcf(c_272462,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_626]) ).
tcf(c_272616,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270314,c_270280]) ).
tcf(c_272619,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270314,c_269752]) ).
tcf(c_272623,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270314,c_640]) ).
tcf(c_272624,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270314,c_637]) ).
tcf(c_272627,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270314,c_626]) ).
tcf(c_272657,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270466,c_269803]) ).
tcf(c_272658,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_270466,c_644]) ).
tcf(c_272669,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270466,c_635]) ).
tcf(c_272670,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270466,c_631]) ).
tcf(c_272699,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270511,c_270314]) ).
tcf(c_272702,plain,
( ( iPr_def_19 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270511,c_270136]) ).
tcf(c_272704,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270511,c_269752]) ).
tcf(c_272705,plain,
( ( iPr_def_19 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270511,c_269605]) ).
tcf(c_272711,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270511,c_640]) ).
tcf(c_272712,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270511,c_637]) ).
tcf(c_272715,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270511,c_626]) ).
tcf(c_272759,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270579,c_269838]) ).
tcf(c_272761,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_270579,c_644]) ).
tcf(c_272772,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_28) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270579,c_635]) ).
tcf(c_272773,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_270579,c_631]) ).
tcf(c_272803,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270613,c_270511]) ).
tcf(c_272804,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270613,c_270314]) ).
tcf(c_272809,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270613,c_269752]) ).
tcf(c_272816,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270613,c_640]) ).
tcf(c_272817,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_21) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270613,c_637]) ).
tcf(c_272820,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270613,c_626]) ).
tcf(c_272855,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270785,c_270613]) ).
tcf(c_272856,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270785,c_270511]) ).
tcf(c_272857,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270785,c_270314]) ).
tcf(c_272862,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270785,c_269752]) ).
tcf(c_272869,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_24) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270785,c_640]) ).
tcf(c_272870,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270785,c_637]) ).
tcf(c_272873,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270785,c_626]) ).
tcf(c_272940,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_269534,c_642]) ).
tcf(c_272952,plain,
! [X0: $i] :
( ( sk_c9 = 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_269535,c_642]) ).
tcf(c_272963,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_30414,c_105]) ).
tcf(c_272966,plain,
multiply(iPr_def_16,iPr_def_26) = sk_c9,
inference(superposition,[status(thm)],[c_638,c_271023]) ).
tcf(c_272967,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271023,c_105]) ).
tcf(c_272968,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(sk_c2,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_271023,c_10349]) ).
tcf(c_272971,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(iPr_def_26,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_272966,c_105]) ).
tcf(c_272972,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_26) = multiply(iPr_def_26,sk_c9) ) ),
inference(superposition,[status(thm)],[c_272966,c_10349]) ).
tcf(c_272975,plain,
multiply(iPr_def_27,iPr_def_28) = sk_c11,
inference(superposition,[status(thm)],[c_640,c_271024]) ).
tcf(c_272976,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_27,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271024,c_105]) ).
tcf(c_272977,plain,
! [X0: $i] : multiply(iPr_def_27,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_272975,c_105]) ).
tcf(c_272991,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_689,c_271025]) ).
tcf(c_272992,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_271025]) ).
tcf(c_272993,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_679,c_271025]) ).
tcf(c_272994,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_271025]) ).
tcf(c_272995,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_669,c_271025]) ).
tcf(c_272996,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_271025]) ).
tcf(c_272997,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_659,c_271025]) ).
tcf(c_272998,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_657,c_271025]) ).
tcf(c_272999,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_649,c_271025]) ).
tcf(c_273000,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_647,c_271025]) ).
tcf(c_273001,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_17,multiply(multiply(sk_c6,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271025,c_105]) ).
tcf(c_273050,plain,
multiply(iPr_def_18,iPr_def_15) = sk_c8,
inference(superposition,[status(thm)],[c_627,c_271026]) ).
tcf(c_273051,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(sk_c7,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271026,c_105]) ).
tcf(c_273056,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_15,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_273050,c_105]) ).
tcf(c_273086,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_633,c_271027]) ).
tcf(c_273087,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(multiply(sk_c5,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271027,c_105]) ).
tcf(c_273093,plain,
! [X0: $i] :
( ( sk_c11 = 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_269569,c_642]) ).
tcf(c_273105,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_269586,c_642]) ).
tcf(c_273117,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_269769,c_642]) ).
tcf(c_273129,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_269805,c_642]) ).
tcf(c_273141,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_270039,c_642]) ).
tcf(c_273153,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_270079,c_642]) ).
tcf(c_273165,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_270356,c_642]) ).
tcf(c_273177,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,iPr_def_17) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_270470,c_642]) ).
tcf(c_273188,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_30796,c_105]) ).
tcf(c_273191,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_273086,c_105]) ).
tcf(c_273206,plain,
multiply(iPr_def_22,iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_635,c_271028]) ).
tcf(c_273207,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_22,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271028,c_105]) ).
tcf(c_273208,plain,
! [X0: $i] : multiply(iPr_def_22,multiply(iPr_def_23,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_273206,c_105]) ).
tcf(c_273209,plain,
multiply(iPr_def_24,iPr_def_25) = sk_c11,
inference(superposition,[status(thm)],[c_637,c_271029]) ).
tcf(c_273210,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_24,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_271029,c_105]) ).
tcf(c_273211,plain,
! [X0: $i] : multiply(iPr_def_24,multiply(iPr_def_25,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_273209,c_105]) ).
tcf(c_273230,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272103,c_272975]) ).
tcf(c_273231,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272103,c_271024]) ).
tcf(c_273232,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_272103,c_269687]) ).
tcf(c_273275,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272243,c_272975]) ).
tcf(c_273276,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272243,c_271024]) ).
tcf(c_273277,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_272243,c_269687]) ).
tcf(c_273288,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272318,c_272975]) ).
tcf(c_273289,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272318,c_271024]) ).
tcf(c_273290,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_272318,c_269687]) ).
tcf(c_273301,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_30797,c_105]) ).
tcf(c_273308,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270785,c_269522]) ).
tcf(c_273309,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270613,c_269522]) ).
tcf(c_273310,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270511,c_269522]) ).
tcf(c_273311,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270314,c_269522]) ).
tcf(c_273312,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_269522]) ).
tcf(c_273313,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_269522]) ).
tcf(c_273315,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_269522]) ).
tcf(c_273317,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269752,c_269522]) ).
tcf(c_273320,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_269522]) ).
tcf(c_273321,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_682,c_269522]) ).
tcf(c_273322,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_269522]) ).
tcf(c_273323,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_269522]) ).
tcf(c_273324,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_269522]) ).
tcf(c_273325,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_269522]) ).
tcf(c_273326,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c11,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269522,c_105]) ).
tcf(c_273423,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270785,c_269523]) ).
tcf(c_273424,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270613,c_269523]) ).
tcf(c_273425,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270511,c_269523]) ).
tcf(c_273426,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270314,c_269523]) ).
tcf(c_273427,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_24,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_269523]) ).
tcf(c_273428,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_269523]) ).
tcf(c_273429,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270136,c_269523]) ).
tcf(c_273430,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_269523]) ).
tcf(c_273431,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270076,c_269523]) ).
tcf(c_273432,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269752,c_269523]) ).
tcf(c_273433,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269605,c_269523]) ).
tcf(c_273434,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269585,c_269523]) ).
tcf(c_273435,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_269523]) ).
tcf(c_273436,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_682,c_269523]) ).
tcf(c_273437,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_269523]) ).
tcf(c_273438,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_269523]) ).
tcf(c_273439,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_269523]) ).
tcf(c_273440,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_269523]) ).
tcf(c_273441,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c11,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269523,c_105]) ).
tcf(c_273596,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_682,c_269524]) ).
tcf(c_273597,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_269524]) ).
tcf(c_273599,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_662,c_269524]) ).
tcf(c_273600,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_269524]) ).
tcf(c_273601,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c11,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269524,c_105]) ).
tcf(c_273642,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_680,c_269525]) ).
tcf(c_273645,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_660,c_269525]) ).
tcf(c_273646,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c11,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269525,c_105]) ).
tcf(c_273669,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_269545]) ).
tcf(c_273672,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_269545]) ).
tcf(c_273675,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c11,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269545,c_105]) ).
tcf(c_273686,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270785,c_269557]) ).
tcf(c_273687,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270613,c_269557]) ).
tcf(c_273688,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270511,c_269557]) ).
tcf(c_273689,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270314,c_269557]) ).
tcf(c_273690,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_269557]) ).
tcf(c_273691,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_269557]) ).
tcf(c_273692,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270136,c_269557]) ).
tcf(c_273693,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_269557]) ).
tcf(c_273694,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270076,c_269557]) ).
tcf(c_273695,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269752,c_269557]) ).
tcf(c_273696,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269605,c_269557]) ).
tcf(c_273697,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269585,c_269557]) ).
tcf(c_273704,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c11,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269557,c_105]) ).
tcf(c_273789,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_269596]) ).
tcf(c_273790,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_684,c_269596]) ).
tcf(c_273791,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_269596]) ).
tcf(c_273792,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_664,c_269596]) ).
tcf(c_273799,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269596,c_105]) ).
tcf(c_273800,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269596,c_645]) ).
tcf(c_273839,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c9 = iPr_def_16 ) ),
inference(global_subsumption_just,[status(thm)],[c_269510,c_6789]) ).
tcf(c_273840,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_22 ) ),
inference(renaming,[status(thm)],[c_273839]) ).
tcf(c_273866,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_269613]) ).
tcf(c_273867,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_684,c_269613]) ).
tcf(c_273868,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_269613]) ).
tcf(c_273869,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_664,c_269613]) ).
tcf(c_273876,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269613,c_105]) ).
tcf(c_273877,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269613,c_645]) ).
tcf(c_273950,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_269616,c_105]) ).
tcf(c_273951,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269616,c_271026]) ).
tcf(c_273952,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_273951,c_273050]) ).
tcf(c_273961,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_269617,c_105]) ).
tcf(c_273962,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269617,c_271026]) ).
tcf(c_273963,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_273962,c_273050]) ).
tcf(c_273982,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_269618,c_105]) ).
tcf(c_273983,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269618,c_271026]) ).
tcf(c_273984,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c9 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_273983,c_273050]) ).
tcf(c_273993,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272447,c_272975]) ).
tcf(c_273994,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272447,c_271024]) ).
tcf(c_273995,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_272447,c_269687]) ).
tcf(c_274016,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272449,c_272975]) ).
tcf(c_274017,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272449,c_271024]) ).
tcf(c_274018,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_272449,c_269687]) ).
tcf(c_274039,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272619,c_272975]) ).
tcf(c_274040,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272619,c_271024]) ).
tcf(c_274041,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_272619,c_269687]) ).
tcf(c_274052,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272657,c_272975]) ).
tcf(c_274069,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_269619,c_105]) ).
tcf(c_274070,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269619,c_271026]) ).
tcf(c_274071,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c9 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_274070,c_273050]) ).
tcf(c_274120,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_269628]) ).
tcf(c_274121,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_269628]) ).
tcf(c_274122,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_269628]) ).
tcf(c_274123,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_269628]) ).
tcf(c_274124,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_269628]) ).
tcf(c_274128,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_269628]) ).
tcf(c_274130,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_269628]) ).
tcf(c_274131,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_269628]) ).
tcf(c_274134,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269628,c_105]) ).
tcf(c_274135,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_269628,c_644]) ).
tcf(c_274199,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_269629]) ).
tcf(c_274200,plain,
( ( sk_c11 = 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_269629]) ).
tcf(c_274201,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_269629]) ).
tcf(c_274202,plain,
( ( sk_c11 = 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_269629]) ).
tcf(c_274203,plain,
( ( sk_c11 = 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_269629]) ).
tcf(c_274207,plain,
( ( sk_c11 = 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_269629]) ).
tcf(c_274209,plain,
( ( sk_c11 = 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_269629]) ).
tcf(c_274210,plain,
( ( sk_c11 = 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_269629]) ).
tcf(c_274213,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269629,c_105]) ).
tcf(c_274214,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_269629,c_644]) ).
tcf(c_274777,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269998,c_269630]) ).
tcf(c_274780,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_269630]) ).
tcf(c_274781,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_269630]) ).
tcf(c_274783,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_269630]) ).
tcf(c_274784,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_269630]) ).
tcf(c_274785,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_269630]) ).
tcf(c_274786,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_269630]) ).
tcf(c_274787,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_676,c_269630]) ).
tcf(c_274788,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_269630]) ).
tcf(c_274789,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_269630]) ).
tcf(c_274790,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_269630]) ).
tcf(c_274791,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_269630]) ).
tcf(c_274794,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269630,c_105]) ).
tcf(c_274795,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_269630,c_644]) ).
tcf(c_274844,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269998,c_269631]) ).
tcf(c_274847,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_269631]) ).
tcf(c_274848,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_269631]) ).
tcf(c_274850,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_269631]) ).
tcf(c_274851,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_690,c_269631]) ).
tcf(c_274852,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_269631]) ).
tcf(c_274853,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_269631]) ).
tcf(c_274854,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_676,c_269631]) ).
tcf(c_274855,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_269631]) ).
tcf(c_274856,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_269631]) ).
tcf(c_274857,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_269631]) ).
tcf(c_274858,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_670,c_269631]) ).
tcf(c_274861,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269631,c_105]) ).
tcf(c_274862,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_17) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_269631,c_644]) ).
tcf(c_274929,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_269640,c_105]) ).
tcf(c_274930,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269640,c_271027]) ).
tcf(c_274948,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_269641,c_105]) ).
tcf(c_274949,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269641,c_271027]) ).
tcf(c_274957,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_269642,c_105]) ).
tcf(c_274958,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269642,c_271027]) ).
tcf(c_274962,plain,
( ( sk_c11 = iPr_def_21 )
| ( sk_c9 = iPr_def_16 ) ),
inference(global_subsumption_just,[status(thm)],[c_269511,c_6829]) ).
tcf(c_274963,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_21 ) ),
inference(renaming,[status(thm)],[c_274962]) ).
tcf(c_274987,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c5,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_269643,c_105]) ).
tcf(c_274988,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269643,c_271027]) ).
tcf(c_274996,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_269652,c_105]) ).
tcf(c_274997,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269652,c_271029]) ).
tcf(c_274998,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_274997,c_273209]) ).
tcf(c_275017,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_269653,c_105]) ).
tcf(c_275018,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269653,c_271029]) ).
tcf(c_275019,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_275018,c_273209]) ).
tcf(c_275028,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269658,c_105]) ).
tcf(c_275029,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269658,c_271023]) ).
tcf(c_275030,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_275029,c_272966]) ).
tcf(c_275039,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272759,c_272975]) ).
tcf(c_275046,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272803,c_272975]) ).
tcf(c_275053,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272855,c_272975]) ).
tcf(c_275060,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272856,c_272975]) ).
tcf(c_275067,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269659,c_105]) ).
tcf(c_275068,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269659,c_271023]) ).
tcf(c_275069,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_275068,c_272966]) ).
tcf(c_275078,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269660,c_105]) ).
tcf(c_275079,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269660,c_271023]) ).
tcf(c_275080,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_275079,c_272966]) ).
tcf(c_275089,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269661,c_105]) ).
tcf(c_275090,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269661,c_271023]) ).
tcf(c_275098,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269662,c_105]) ).
tcf(c_275099,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269662,c_271023]) ).
tcf(c_275107,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269663,c_105]) ).
tcf(c_275108,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269663,c_271023]) ).
tcf(c_275109,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_275108,c_272966]) ).
tcf(c_275128,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269676,c_105]) ).
tcf(c_275129,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269676,c_271024]) ).
tcf(c_275137,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269677,c_105]) ).
tcf(c_275138,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269677,c_271024]) ).
tcf(c_275146,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_269694,c_105]) ).
tcf(c_275147,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269694,c_271028]) ).
tcf(c_275148,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_275147,c_273206]) ).
tcf(c_275167,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269695,c_105]) ).
tcf(c_275174,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269709,c_105]) ).
tcf(c_275175,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269709,c_271023]) ).
tcf(c_275176,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_275175,c_272966]) ).
tcf(c_275185,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270785,c_269712]) ).
tcf(c_275186,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270613,c_269712]) ).
tcf(c_275187,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270511,c_269712]) ).
tcf(c_275189,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_269712]) ).
tcf(c_275190,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_269712]) ).
tcf(c_275192,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_269712]) ).
tcf(c_275197,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_685,c_269712]) ).
tcf(c_275200,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_665,c_269712]) ).
tcf(c_275203,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c11,multiply(iPr_def_23,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269712,c_105]) ).
tcf(c_275268,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269739,c_105]) ).
tcf(c_275269,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269739,c_271024]) ).
tcf(c_275270,plain,
( ( sk_c11 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_275269,c_272975]) ).
tcf(c_275359,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_269740,c_105]) ).
tcf(c_275360,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269740,c_271029]) ).
tcf(c_275372,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_694,c_269741]) ).
tcf(c_275373,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_684,c_269741]) ).
tcf(c_275374,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_674,c_269741]) ).
tcf(c_275382,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269741,c_105]) ).
tcf(c_275383,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_269741,c_645]) ).
tcf(c_275403,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c4,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_269754,c_105]) ).
tcf(c_275404,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269754,c_271028]) ).
tcf(c_275405,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(light_normalisation,[status(thm)],[c_275404,c_273206]) ).
tcf(c_275440,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269755,c_105]) ).
tcf(c_275447,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_269782,c_105]) ).
tcf(c_275448,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269782,c_271027]) ).
tcf(c_275449,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_275448,c_273086]) ).
tcf(c_275463,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_269783]) ).
tcf(c_275464,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_269783]) ).
tcf(c_275465,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_269783]) ).
tcf(c_275466,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_269783]) ).
tcf(c_275467,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_269783]) ).
tcf(c_275468,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_269783]) ).
tcf(c_275469,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_269783]) ).
tcf(c_275470,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_676,c_269783]) ).
tcf(c_275471,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_269783]) ).
tcf(c_275472,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_269783]) ).
tcf(c_275473,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_269783]) ).
tcf(c_275474,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_269783]) ).
tcf(c_275477,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_269783,c_105]) ).
tcf(c_275478,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_269783,c_644]) ).
tcf(c_275547,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_269784,c_105]) ).
tcf(c_275548,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269784,c_271026]) ).
tcf(c_275568,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_269819,c_105]) ).
tcf(c_275569,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269819,c_271028]) ).
tcf(c_275570,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_275569,c_273206]) ).
tcf(c_275583,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_691,c_269820]) ).
tcf(c_275584,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_688,c_269820]) ).
tcf(c_275585,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_681,c_269820]) ).
tcf(c_275586,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_269820]) ).
tcf(c_275593,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_269820,c_105]) ).
tcf(c_275612,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_269839,c_105]) ).
tcf(c_275613,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269839,c_271027]) ).
tcf(c_275614,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_275613,c_273086]) ).
tcf(c_275653,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_269840]) ).
tcf(c_275654,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_269840]) ).
tcf(c_275655,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_269840]) ).
tcf(c_275656,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_269840]) ).
tcf(c_275658,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_269840]) ).
tcf(c_275659,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_269840]) ).
tcf(c_275660,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_676,c_269840]) ).
tcf(c_275661,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_675,c_269840]) ).
tcf(c_275662,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_673,c_269840]) ).
tcf(c_275663,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_672,c_269840]) ).
tcf(c_275667,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269840,c_105]) ).
tcf(c_275668,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_269840,c_644]) ).
tcf(c_275721,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_269841,c_105]) ).
tcf(c_275722,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269841,c_271026]) ).
tcf(c_275846,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_269860,c_105]) ).
tcf(c_275847,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269860,c_271028]) ).
tcf(c_275848,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_275847,c_273206]) ).
tcf(c_275861,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_691,c_269861]) ).
tcf(c_275862,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_688,c_269861]) ).
tcf(c_275863,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_681,c_269861]) ).
tcf(c_275864,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_269861]) ).
tcf(c_275871,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_269861,c_105]) ).
tcf(c_275890,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_269883,c_105]) ).
tcf(c_275891,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269883,c_271028]) ).
tcf(c_275892,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_275891,c_273206]) ).
tcf(c_275915,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_269884,c_105]) ).
tcf(c_275922,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269918,c_105]) ).
tcf(c_275923,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269918,c_271023]) ).
tcf(c_275924,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_275923,c_272966]) ).
tcf(c_275935,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_270785,c_269921]) ).
tcf(c_275936,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_270613,c_269921]) ).
tcf(c_275937,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_270511,c_269921]) ).
tcf(c_275939,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_269921]) ).
tcf(c_275940,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_269921]) ).
tcf(c_275942,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_269921]) ).
tcf(c_275947,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_269921]) ).
tcf(c_275953,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_269921,c_105]) ).
tcf(c_276021,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_269959,c_105]) ).
tcf(c_276022,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269959,c_271028]) ).
tcf(c_276023,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_276022,c_273206]) ).
tcf(c_276044,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_691,c_269960]) ).
tcf(c_276045,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_688,c_269960]) ).
tcf(c_276046,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_681,c_269960]) ).
tcf(c_276047,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_269960]) ).
tcf(c_276054,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_269960,c_105]) ).
tcf(c_276073,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c4,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270002,c_105]) ).
tcf(c_276074,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270002,c_271028]) ).
tcf(c_276075,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_276074,c_273206]) ).
tcf(c_276098,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270003,c_105]) ).
tcf(c_276105,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_270054,c_105]) ).
tcf(c_276106,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270054,c_271027]) ).
tcf(c_276107,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_276106,c_273086]) ).
tcf(c_276143,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_270055]) ).
tcf(c_276144,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_270055]) ).
tcf(c_276145,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_270055]) ).
tcf(c_276146,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_270055]) ).
tcf(c_276147,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_270055]) ).
tcf(c_276148,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_270055]) ).
tcf(c_276149,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_270055]) ).
tcf(c_276157,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_270055,c_105]) ).
tcf(c_276158,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_270055,c_644]) ).
tcf(c_276331,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_270056,c_105]) ).
tcf(c_276332,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270056,c_271026]) ).
tcf(c_276354,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_270101,c_105]) ).
tcf(c_276355,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270101,c_271024]) ).
tcf(c_276356,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_276355,c_272975]) ).
tcf(c_276371,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270102,c_105]) ).
tcf(c_276372,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270102,c_271029]) ).
tcf(c_276395,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_270105]) ).
tcf(c_276405,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_270105,c_105]) ).
tcf(c_276406,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_270105,c_645]) ).
tcf(c_276420,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_270138,c_105]) ).
tcf(c_276421,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270138,c_271027]) ).
tcf(c_276422,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_276421,c_273086]) ).
tcf(c_276437,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_270139]) ).
tcf(c_276438,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_270139]) ).
tcf(c_276439,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_270139]) ).
tcf(c_276440,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_270139]) ).
tcf(c_276442,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_686,c_270139]) ).
tcf(c_276443,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_683,c_270139]) ).
tcf(c_276451,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270139,c_105]) ).
tcf(c_276452,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_270139,c_644]) ).
tcf(c_276511,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_270140,c_105]) ).
tcf(c_276512,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270140,c_271026]) ).
tcf(c_276526,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_270170,c_105]) ).
tcf(c_276527,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270170,c_271024]) ).
tcf(c_276528,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_276527,c_272975]) ).
tcf(c_276551,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270171,c_105]) ).
tcf(c_276552,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270171,c_271029]) ).
tcf(c_276575,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_270174]) ).
tcf(c_276585,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_270174,c_105]) ).
tcf(c_276586,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_270174,c_645]) ).
tcf(c_276600,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_270208,c_105]) ).
tcf(c_276601,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270208,c_271028]) ).
tcf(c_276602,plain,
( ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_276601,c_273206]) ).
tcf(c_276625,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_270209,c_105]) ).
tcf(c_276796,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270235,c_105]) ).
tcf(c_276797,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270235,c_271023]) ).
tcf(c_276798,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_276797,c_272966]) ).
tcf(c_276810,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_270785,c_270238]) ).
tcf(c_276811,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_270613,c_270238]) ).
tcf(c_276812,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_270511,c_270238]) ).
tcf(c_276814,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_270238]) ).
tcf(c_276815,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_270238]) ).
tcf(c_276817,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_270238]) ).
tcf(c_276822,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_270238]) ).
tcf(c_276828,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_270238,c_105]) ).
tcf(c_276911,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_270281,c_105]) ).
tcf(c_276912,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270281,c_271024]) ).
tcf(c_276913,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_276912,c_272975]) ).
tcf(c_276935,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270282,c_105]) ).
tcf(c_276936,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270282,c_271029]) ).
tcf(c_276959,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_270285]) ).
tcf(c_276969,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_270285,c_105]) ).
tcf(c_276970,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_270285,c_645]) ).
tcf(c_277013,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c4,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270320,c_105]) ).
tcf(c_277014,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270320,c_271028]) ).
tcf(c_277015,plain,
( ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(light_normalisation,[status(thm)],[c_277014,c_273206]) ).
tcf(c_277039,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270321,c_105]) ).
tcf(c_277046,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_270379,c_105]) ).
tcf(c_277047,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270379,c_271027]) ).
tcf(c_277048,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c10 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_277047,c_273086]) ).
tcf(c_277062,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269998,c_270380]) ).
tcf(c_277065,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_270380]) ).
tcf(c_277066,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_270380]) ).
tcf(c_277067,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_270380]) ).
tcf(c_277068,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_270380]) ).
tcf(c_277069,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_270380]) ).
tcf(c_277079,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_270380,c_105]) ).
tcf(c_277080,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_270380,c_644]) ).
tcf(c_277150,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_270381,c_105]) ).
tcf(c_277151,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270381,c_271026]) ).
tcf(c_277159,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_270414,c_105]) ).
tcf(c_277165,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270415,c_105]) ).
tcf(c_277342,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_270416,c_105]) ).
tcf(c_277348,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270417,c_105]) ).
tcf(c_277354,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_270418,c_105]) ).
tcf(c_277360,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270419,c_105]) ).
tcf(c_277366,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270420,c_105]) ).
tcf(c_277372,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270421,c_105]) ).
tcf(c_277378,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(iPr_def_15,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270422,c_105]) ).
tcf(c_277384,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(iPr_def_18,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_270465,c_105]) ).
tcf(c_277395,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_270514,c_105]) ).
tcf(c_277396,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270514,c_271028]) ).
tcf(c_277397,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_277396,c_273206]) ).
tcf(c_277427,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_270515,c_105]) ).
tcf(c_277451,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_270582,c_105]) ).
tcf(c_277452,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270582,c_271027]) ).
tcf(c_277453,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c10 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_277452,c_273086]) ).
tcf(c_277469,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_269998,c_270583]) ).
tcf(c_277472,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_696,c_270583]) ).
tcf(c_277473,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_695,c_270583]) ).
tcf(c_277474,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_693,c_270583]) ).
tcf(c_277475,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_692,c_270583]) ).
tcf(c_277486,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,multiply(sk_c10,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270583,c_105]) ).
tcf(c_277487,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_19 )
| ( inverse(iPr_def_20) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_270583,c_644]) ).
tcf(c_277729,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c7,multiply(iPr_def_20,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_270584,c_105]) ).
tcf(c_277730,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270584,c_271026]) ).
tcf(c_277743,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_270617,c_105]) ).
tcf(c_277744,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270617,c_271028]) ).
tcf(c_277745,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_277744,c_273206]) ).
tcf(c_277776,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_270618,c_105]) ).
tcf(c_277783,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_272856,c_270668]) ).
tcf(c_277784,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_272855,c_270668]) ).
tcf(c_277785,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_272803,c_270668]) ).
tcf(c_277786,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272759,c_270668]) ).
tcf(c_277787,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272657,c_270668]) ).
tcf(c_277788,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_270668,c_105]) ).
tcf(c_277789,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270668,c_271028]) ).
tcf(c_277790,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_277789,c_273206]) ).
tcf(c_277845,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_272856,c_270669]) ).
tcf(c_277846,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_272855,c_270669]) ).
tcf(c_277847,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_272803,c_270669]) ).
tcf(c_277848,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272759,c_270669]) ).
tcf(c_277849,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272657,c_270669]) ).
tcf(c_277850,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_270669,c_105]) ).
tcf(c_277892,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c2,multiply(iPr_def_23,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_270735,c_105]) ).
tcf(c_277893,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270735,c_271023]) ).
tcf(c_277894,plain,
( ( sk_c9 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(light_normalisation,[status(thm)],[c_277893,c_272966]) ).
tcf(c_277907,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_270785,c_270738]) ).
tcf(c_277908,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_270613,c_270738]) ).
tcf(c_277909,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_270511,c_270738]) ).
tcf(c_277910,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270314,c_270738]) ).
tcf(c_277911,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270280,c_270738]) ).
tcf(c_277912,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_21,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270172,c_270738]) ).
tcf(c_277914,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270104,c_270738]) ).
tcf(c_277916,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269752,c_270738]) ).
tcf(c_277925,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_270738,c_105]) ).
tcf(c_277984,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_270791,c_105]) ).
tcf(c_277985,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270791,c_271028]) ).
tcf(c_277986,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_277985,c_273206]) ).
tcf(c_278017,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_270792,c_105]) ).
tcf(c_278024,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272856,c_270858]) ).
tcf(c_278025,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272855,c_270858]) ).
tcf(c_278026,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272803,c_270858]) ).
tcf(c_278027,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272759,c_270858]) ).
tcf(c_278028,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_272657,c_270858]) ).
tcf(c_278029,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270858,c_105]) ).
tcf(c_278030,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270858,c_271028]) ).
tcf(c_278031,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_278030,c_273206]) ).
tcf(c_278096,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272856,c_270859]) ).
tcf(c_278097,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272855,c_270859]) ).
tcf(c_278098,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272803,c_270859]) ).
tcf(c_278099,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272759,c_270859]) ).
tcf(c_278100,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272657,c_270859]) ).
tcf(c_278101,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270859,c_105]) ).
tcf(c_278130,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,sk_c9),
inference(superposition,[status(thm)],[c_626,c_271003]) ).
tcf(c_278131,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270738,c_271003]) ).
tcf(c_278132,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270238,c_271003]) ).
tcf(c_278133,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269921,c_271003]) ).
tcf(c_278134,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269712,c_271003]) ).
tcf(c_278135,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269522,c_271003]) ).
tcf(c_278136,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269557,c_271003]) ).
tcf(c_278137,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269545,c_271003]) ).
tcf(c_278138,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269525,c_271003]) ).
tcf(c_278139,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269524,c_271003]) ).
tcf(c_278140,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269523,c_271003]) ).
tcf(c_278145,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_270785,c_271003]) ).
tcf(c_278146,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_270613,c_271003]) ).
tcf(c_278147,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_270511,c_271003]) ).
tcf(c_278148,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270314,c_271003]) ).
tcf(c_278149,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_24,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270280,c_271003]) ).
tcf(c_278150,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_21,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270172,c_271003]) ).
tcf(c_278151,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270136,c_271003]) ).
tcf(c_278152,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c1,multiply(iPr_def_19,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270104,c_271003]) ).
tcf(c_278153,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_270076,c_271003]) ).
tcf(c_278154,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269752,c_271003]) ).
tcf(c_278155,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269605,c_271003]) ).
tcf(c_278156,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_269585,c_271003]) ).
tcf(c_278163,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_271003,c_105]) ).
tcf(c_278515,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_27,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273596,c_105]) ).
tcf(c_278522,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273599,c_105]) ).
tcf(c_278545,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_27,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273642,c_105]) ).
tcf(c_278598,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_27,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273669,c_105]) ).
tcf(c_278605,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_273672,c_105]) ).
tcf(c_278612,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_275470,c_105]) ).
tcf(c_278619,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_275472,c_105]) ).
tcf(c_278622,plain,
! [X0: $i] : multiply(multiply(iPr_def_28,sk_c9),X0) = multiply(sk_c1,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_278130,c_105]) ).
tcf(c_278623,plain,
multiply(iPr_def_27,multiply(iPr_def_28,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_278130,c_271024]) ).
tcf(c_278634,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,sk_c9),
inference(superposition,[status(thm)],[c_626,c_271004]) ).
tcf(c_278635,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270738,c_271004]) ).
tcf(c_278636,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_270238,c_271004]) ).
tcf(c_278637,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269921,c_271004]) ).
tcf(c_278638,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269712,c_271004]) ).
tcf(c_278639,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_23) ) ),
inference(superposition,[status(thm)],[c_269522,c_271004]) ).
tcf(c_278640,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269557,c_271004]) ).
tcf(c_278641,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269545,c_271004]) ).
tcf(c_278642,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269525,c_271004]) ).
tcf(c_278643,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269524,c_271004]) ).
tcf(c_278644,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269523,c_271004]) ).
tcf(c_278650,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270785,c_271004]) ).
tcf(c_278651,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_21,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270613,c_271004]) ).
tcf(c_278652,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_19,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270511,c_271004]) ).
tcf(c_278653,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270314,c_271004]) ).
tcf(c_278654,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270280,c_271004]) ).
tcf(c_278655,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_21,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270172,c_271004]) ).
tcf(c_278656,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270136,c_271004]) ).
tcf(c_278657,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c3,multiply(iPr_def_19,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270104,c_271004]) ).
tcf(c_278658,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_270076,c_271004]) ).
tcf(c_278659,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_269752,c_271004]) ).
tcf(c_278660,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_269605,c_271004]) ).
tcf(c_278661,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_269585,c_271004]) ).
tcf(c_278668,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(sk_c11,X0),X1)) = multiply(multiply(iPr_def_25,X0),X1),
inference(superposition,[status(thm)],[c_271004,c_105]) ).
tcf(c_278846,plain,
! [X0: $i] : multiply(multiply(iPr_def_25,sk_c9),X0) = multiply(sk_c3,multiply(iPr_def_14,X0)),
inference(superposition,[status(thm)],[c_278634,c_105]) ).
tcf(c_278847,plain,
multiply(iPr_def_24,multiply(iPr_def_25,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_278634,c_271029]) ).
tcf(c_278856,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270579,c_271005]) ).
tcf(c_278857,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c4,multiply(iPr_def_28,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_270466,c_271005]) ).
tcf(c_278858,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_269998,c_271005]) ).
tcf(c_278859,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_269838,c_271005]) ).
tcf(c_278860,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_269803,c_271005]) ).
tcf(c_278875,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_271005,c_105]) ).
tcf(c_279113,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_275660,c_105]) ).
tcf(c_279153,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_20,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_275662,c_105]) ).
tcf(c_279160,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_276148,c_105]) ).
tcf(c_279167,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_276149,c_105]) ).
tcf(c_279185,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_276442,c_105]) ).
tcf(c_279205,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_20,multiply(iPr_def_22,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_276443,c_105]) ).
tcf(c_279212,plain,
multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,sk_c10),
inference(superposition,[status(thm)],[c_631,c_271006]) ).
tcf(c_279213,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270209,c_271006]) ).
tcf(c_279214,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_269884,c_271006]) ).
tcf(c_279215,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_269695,c_271006]) ).
tcf(c_279216,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_270321,c_271006]) ).
tcf(c_279217,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_270003,c_271006]) ).
tcf(c_279218,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_269755,c_271006]) ).
tcf(c_279219,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269960,c_271006]) ).
tcf(c_279220,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269861,c_271006]) ).
tcf(c_279221,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269820,c_271006]) ).
tcf(c_279222,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270859,c_271006]) ).
tcf(c_279223,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270792,c_271006]) ).
tcf(c_279224,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270669,c_271006]) ).
tcf(c_279225,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270618,c_271006]) ).
tcf(c_279226,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270515,c_271006]) ).
tcf(c_279246,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_271006,c_105]) ).
tcf(c_279357,plain,
! [X0: $i] : multiply(multiply(iPr_def_21,sk_c10),X0) = multiply(sk_c5,multiply(iPr_def_19,X0)),
inference(superposition,[status(thm)],[c_279212,c_105]) ).
tcf(c_279358,plain,
multiply(iPr_def_20,multiply(iPr_def_21,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_279212,c_271027]) ).
tcf(c_279412,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270579,c_271007]) ).
tcf(c_279413,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c8,multiply(iPr_def_28,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_270466,c_271007]) ).
tcf(c_279414,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269998,c_271007]) ).
tcf(c_279415,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269838,c_271007]) ).
tcf(c_279416,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_269803,c_271007]) ).
tcf(c_279431,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_271007,c_105]) ).
tcf(c_279432,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_21,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_271007,c_271006]) ).
tcf(c_279510,plain,
multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,sk_c10),
inference(superposition,[status(thm)],[c_631,c_271008]) ).
tcf(c_279511,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_270209,c_271008]) ).
tcf(c_279512,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_269884,c_271008]) ).
tcf(c_279513,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_269695,c_271008]) ).
tcf(c_279514,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_270321,c_271008]) ).
tcf(c_279515,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_270003,c_271008]) ).
tcf(c_279516,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_269755,c_271008]) ).
tcf(c_279517,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269960,c_271008]) ).
tcf(c_279518,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269861,c_271008]) ).
tcf(c_279519,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269820,c_271008]) ).
tcf(c_279520,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270859,c_271008]) ).
tcf(c_279521,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270792,c_271008]) ).
tcf(c_279522,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270669,c_271008]) ).
tcf(c_279523,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270618,c_271008]) ).
tcf(c_279524,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_270515,c_271008]) ).
tcf(c_279525,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_19,X0)) = multiply(iPr_def_15,multiply(sk_c10,X0)),
inference(superposition,[status(thm)],[c_271007,c_271008]) ).
tcf(c_279545,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_271008,c_105]) ).
tcf(c_279849,plain,
! [X0: $i] : multiply(multiply(iPr_def_15,sk_c10),X0) = multiply(sk_c7,multiply(iPr_def_19,X0)),
inference(superposition,[status(thm)],[c_279510,c_105]) ).
tcf(c_279850,plain,
multiply(iPr_def_18,multiply(iPr_def_15,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_279510,c_271026]) ).
tcf(c_279851,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_279849,c_279525]) ).
tcf(c_279858,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_270785,c_271009]) ).
tcf(c_279859,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_270613,c_271009]) ).
tcf(c_279860,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_270511,c_271009]) ).
tcf(c_279861,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270314,c_271009]) ).
tcf(c_279862,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_24,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270280,c_271009]) ).
tcf(c_279863,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270172,c_271009]) ).
tcf(c_279864,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270136,c_271009]) ).
tcf(c_279865,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270104,c_271009]) ).
tcf(c_279866,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_270076,c_271009]) ).
tcf(c_279867,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269752,c_271009]) ).
tcf(c_279868,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269605,c_271009]) ).
tcf(c_279869,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269585,c_271009]) ).
tcf(c_279886,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c11,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269491,c_271009]) ).
tcf(c_279887,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c11,multiply(iPr_def_16,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_269479,c_271009]) ).
tcf(c_279898,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_271009,c_105]) ).
tcf(c_279899,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_14,X0)) = multiply(iPr_def_25,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_271009,c_271004]) ).
tcf(c_279900,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_28,multiply(sk_c9,X0)),
inference(superposition,[status(thm)],[c_271009,c_271003]) ).
tcf(c_280012,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269491,c_271010]) ).
tcf(c_280013,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(iPr_def_26,X0) ) ),
inference(superposition,[status(thm)],[c_269479,c_271010]) ).
tcf(c_280024,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c9,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1),
inference(superposition,[status(thm)],[c_271010,c_105]) ).
tcf(c_280035,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_271128,c_271023]) ).
tcf(c_280181,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270076,c_271129]) ).
tcf(c_280184,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269585,c_271129]) ).
tcf(c_280192,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_271129,c_271004]) ).
tcf(c_280193,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_271129,c_271003]) ).
tcf(c_280198,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_28,sk_c9) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_280193,c_278130]) ).
tcf(c_280201,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_25,sk_c9) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_280192,c_278634]) ).
tcf(c_280217,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_16,iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_271148,c_271023]) ).
tcf(c_280235,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_270136,c_271149]) ).
tcf(c_280239,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269605,c_271149]) ).
tcf(c_280248,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_271149,c_271004]) ).
tcf(c_280249,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_14) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_271149,c_271003]) ).
tcf(c_280254,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c9) = multiply(iPr_def_28,iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_280249,c_278130]) ).
tcf(c_280257,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_25,sk_c9) = multiply(iPr_def_25,iPr_def_16) ) ),
inference(light_normalisation,[status(thm)],[c_280248,c_278634]) ).
tcf(c_280294,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271180,c_271024]) ).
tcf(c_280301,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271181,c_271029]) ).
tcf(c_280330,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_271182,c_645]) ).
tcf(c_280350,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271236,c_271024]) ).
tcf(c_280357,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271237,c_271029]) ).
tcf(c_280386,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_271238,c_645]) ).
tcf(c_280396,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271736,c_271024]) ).
tcf(c_280403,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271737,c_271029]) ).
tcf(c_280432,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_271738,c_645]) ).
tcf(c_280442,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271811,c_271028]) ).
tcf(c_280469,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_271812,c_271008]) ).
tcf(c_280470,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_271812,c_271006]) ).
tcf(c_280471,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_280470,c_279212]) ).
tcf(c_280474,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_280469,c_279510]) ).
tcf(c_280532,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271929,c_271028]) ).
tcf(c_280559,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_271930,c_271008]) ).
tcf(c_280560,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_271930,c_271006]) ).
tcf(c_280561,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_280560,c_279212]) ).
tcf(c_280564,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_280559,c_279510]) ).
tcf(c_280572,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272019,c_271028]) ).
tcf(c_280599,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_272020,c_271008]) ).
tcf(c_280600,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_272020,c_271006]) ).
tcf(c_280601,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_280600,c_279212]) ).
tcf(c_280604,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_280599,c_279510]) ).
tcf(c_280618,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272105,c_271024]) ).
tcf(c_280631,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272106,c_271029]) ).
tcf(c_280666,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272109,c_645]) ).
tcf(c_280676,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272173,c_271024]) ).
tcf(c_280693,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272174,c_271029]) ).
tcf(c_280722,plain,
( ( iPr_def_26 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_19) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272177,c_645]) ).
tcf(c_280738,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272246,c_271024]) ).
tcf(c_280751,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272247,c_271029]) ).
tcf(c_280786,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272250,c_645]) ).
tcf(c_280796,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272327,c_271024]) ).
tcf(c_280803,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272328,c_271029]) ).
tcf(c_280832,plain,
( ( iPr_def_26 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272331,c_645]) ).
tcf(c_280846,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272458,c_271024]) ).
tcf(c_280853,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272459,c_271029]) ).
tcf(c_280882,plain,
( ( iPr_def_26 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272462,c_645]) ).
tcf(c_280892,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272449,c_272623]) ).
tcf(c_280893,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272447,c_272623]) ).
tcf(c_280894,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272318,c_272623]) ).
tcf(c_280898,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272623,c_271024]) ).
tcf(c_280914,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_272449,c_272624]) ).
tcf(c_280915,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_272447,c_272624]) ).
tcf(c_280916,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_272318,c_272624]) ).
tcf(c_280920,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272624,c_271029]) ).
tcf(c_280936,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272449,c_272627]) ).
tcf(c_280937,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272447,c_272627]) ).
tcf(c_280938,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272318,c_272627]) ).
tcf(c_280964,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272627,c_645]) ).
tcf(c_281010,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272669,c_271028]) ).
tcf(c_281042,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_272670,c_271008]) ).
tcf(c_281043,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_272670,c_271006]) ).
tcf(c_281044,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_281043,c_279212]) ).
tcf(c_281047,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_281042,c_279510]) ).
tcf(c_281050,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_270662,c_12737]) ).
tcf(c_281087,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_281050,c_271007]) ).
tcf(c_281090,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_281050,c_271005]) ).
tcf(c_281093,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281050,c_270583]) ).
tcf(c_281095,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_281050,c_270380]) ).
tcf(c_281102,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281050,c_269631]) ).
tcf(c_281103,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281050,c_269630]) ).
tcf(c_281108,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281050,c_269998]) ).
tcf(c_281111,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_281050,c_644]) ).
tcf(c_281112,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_281050,c_270900]) ).
tcf(c_281113,plain,
( ( iPr_def_22 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_281050,c_696]) ).
tcf(c_281118,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_281050,c_686]) ).
tcf(c_281119,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_281050,c_676]) ).
tcf(c_281120,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_281050,c_675]) ).
tcf(c_281121,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_281050,c_672]) ).
tcf(c_281122,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281050,c_670]) ).
tcf(c_281123,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_281050,c_666]) ).
tcf(c_281124,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281050,c_635]) ).
tcf(c_281125,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_22) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281050,c_631]) ).
tcf(c_281271,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272711,c_271024]) ).
tcf(c_281278,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272712,c_271029]) ).
tcf(c_281307,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_19) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272715,c_645]) ).
tcf(c_281322,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272772,c_271028]) ).
tcf(c_281354,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_272773,c_271008]) ).
tcf(c_281355,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(superposition,[status(thm)],[c_272773,c_271006]) ).
tcf(c_281356,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_281355,c_279212]) ).
tcf(c_281359,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_28) ) ),
inference(light_normalisation,[status(thm)],[c_281354,c_279510]) ).
tcf(c_281367,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272816,c_271024]) ).
tcf(c_281374,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272817,c_271029]) ).
tcf(c_281403,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272820,c_645]) ).
tcf(c_281413,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272869,c_271024]) ).
tcf(c_281420,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272870,c_271029]) ).
tcf(c_281449,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_24) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_272873,c_645]) ).
tcf(c_281454,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_271738,c_272971]) ).
tcf(c_281455,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_271238,c_272971]) ).
tcf(c_281456,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_271182,c_272971]) ).
tcf(c_281457,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269741,c_272971]) ).
tcf(c_281458,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269613,c_272971]) ).
tcf(c_281459,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_269596,c_272971]) ).
tcf(c_281460,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_273672,c_272971]) ).
tcf(c_281461,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_273645,c_272971]) ).
tcf(c_281462,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c9,iPr_def_16) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_273599,c_272971]) ).
tcf(c_281463,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c9,multiply(iPr_def_16,X0)) = multiply(iPr_def_16,multiply(iPr_def_14,X0)) ) ),
inference(superposition,[status(thm)],[c_10349,c_272971]) ).
tcf(c_281464,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_16,multiply(multiply(iPr_def_26,X0),X1)) = multiply(multiply(sk_c9,X0),X1),
inference(superposition,[status(thm)],[c_272971,c_105]) ).
tcf(c_281465,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(iPr_def_26,X0)) = multiply(iPr_def_26,multiply(sk_c9,X0)) ) ),
inference(superposition,[status(thm)],[c_272971,c_10349]) ).
tcf(c_281552,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272619,c_272977]) ).
tcf(c_281553,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272449,c_272977]) ).
tcf(c_281554,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272447,c_272977]) ).
tcf(c_281555,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272318,c_272977]) ).
tcf(c_281556,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272243,c_272977]) ).
tcf(c_281557,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272103,c_272977]) ).
tcf(c_281558,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_272856,c_272977]) ).
tcf(c_281559,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_272855,c_272977]) ).
tcf(c_281560,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_272803,c_272977]) ).
tcf(c_281561,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272759,c_272977]) ).
tcf(c_281562,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_272657,c_272977]) ).
tcf(c_281563,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_272977,c_105]) ).
tcf(c_281586,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_273056,c_105]) ).
tcf(c_281587,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_272820,c_273191]) ).
tcf(c_281588,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c8,sk_c9) = multiply(iPr_def_20,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_272331,c_273191]) ).
tcf(c_281589,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(multiply(iPr_def_21,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_273191,c_105]) ).
tcf(c_281619,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_273208,c_105]) ).
tcf(c_281620,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_270852,c_13239]) ).
tcf(c_281654,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_281620,c_281050]) ).
tcf(c_281659,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,multiply(iPr_def_25,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_281620,c_271007]) ).
tcf(c_281661,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,multiply(iPr_def_25,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_281620,c_271005]) ).
tcf(c_281664,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281620,c_270583]) ).
tcf(c_281667,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281620,c_270380]) ).
tcf(c_281674,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281620,c_269631]) ).
tcf(c_281675,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281620,c_269630]) ).
tcf(c_281683,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_281620,c_644]) ).
tcf(c_281684,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 != iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_281620,c_270900]) ).
tcf(c_281691,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_281620,c_675]) ).
tcf(c_281693,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_281620,c_672]) ).
tcf(c_281694,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281620,c_670]) ).
tcf(c_281696,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c4,iPr_def_25) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281620,c_635]) ).
tcf(c_281697,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281620,c_631]) ).
tcf(c_281795,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_24,multiply(multiply(iPr_def_25,X0),X1)) = multiply(multiply(sk_c11,X0),X1),
inference(superposition,[status(thm)],[c_273211,c_105]) ).
tcf(c_281801,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281124,c_271028]) ).
tcf(c_281828,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_281125,c_271008]) ).
tcf(c_281829,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_281125,c_271006]) ).
tcf(c_281830,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_281829,c_279212]) ).
tcf(c_281833,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_281828,c_279510]) ).
tcf(c_281841,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_281696,c_271028]) ).
tcf(c_281857,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_281654,c_272977]) ).
tcf(c_281862,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281654,c_270859]) ).
tcf(c_281863,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281654,c_270858]) ).
tcf(c_281866,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_281654,c_270669]) ).
tcf(c_281867,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281654,c_270668]) ).
tcf(c_281872,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_281654,c_272975]) ).
tcf(c_281898,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272657,c_273230]) ).
tcf(c_281900,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c9,iPr_def_28) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_273230,c_272971]) ).
tcf(c_281909,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_273232,c_105]) ).
tcf(c_281910,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c9,sk_c1) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_273232,c_272971]) ).
tcf(c_281936,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_272759,c_273275]) ).
tcf(c_281939,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c9,iPr_def_28) = multiply(iPr_def_16,sk_c11) ) ),
inference(superposition,[status(thm)],[c_273275,c_272971]) ).
tcf(c_281946,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c10 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_270910,c_8015,c_15087,c_65580]) ).
tcf(c_281954,plain,
( iPr_def_13
| iPr_def_12
| ( sk_c10 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_270912,c_17842]) ).
tcf(c_281962,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_270915,c_17850]) ).
tcf(c_281972,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_14 != iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_270916,c_18208]) ).
tcf(c_281988,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(multiply(iPr_def_14,sk_c2),X0) = multiply(iPr_def_26,multiply(identity,X0)) ) ),
inference(superposition,[status(thm)],[c_270990,c_105]) ).
tcf(c_281989,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,sk_c2)) = multiply(sk_c9,identity) ) ),
inference(superposition,[status(thm)],[c_270990,c_272971]) ).
tcf(c_281992,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(multiply(iPr_def_14,sk_c2),X0) = multiply(iPr_def_26,X0) ) ),
inference(light_normalisation,[status(thm)],[c_281988,c_103]) ).
tcf(c_282021,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_281697,c_271008]) ).
tcf(c_282022,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_281697,c_271006]) ).
tcf(c_282023,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_282022,c_279212]) ).
tcf(c_282026,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_25) ) ),
inference(light_normalisation,[status(thm)],[c_282021,c_279510]) ).
tcf(c_282029,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_271012,c_103]) ).
tcf(c_282047,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_60797,c_282029]) ).
tcf(c_282048,plain,
multiply(inverse(sk_c1),iPr_def_28) = sk_c11,
inference(superposition,[status(thm)],[c_640,c_282029]) ).
tcf(c_282049,plain,
multiply(inverse(sk_c3),iPr_def_25) = sk_c11,
inference(superposition,[status(thm)],[c_637,c_282029]) ).
tcf(c_282050,plain,
multiply(inverse(sk_c4),iPr_def_23) = sk_c10,
inference(superposition,[status(thm)],[c_635,c_282029]) ).
tcf(c_282051,plain,
multiply(inverse(sk_c5),iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_633,c_282029]) ).
tcf(c_282052,plain,
multiply(inverse(sk_c8),iPr_def_19) = sk_c10,
inference(superposition,[status(thm)],[c_631,c_282029]) ).
tcf(c_282053,plain,
multiply(inverse(sk_c7),iPr_def_15) = sk_c8,
inference(superposition,[status(thm)],[c_627,c_282029]) ).
tcf(c_282054,plain,
multiply(inverse(sk_c11),iPr_def_14) = sk_c9,
inference(superposition,[status(thm)],[c_626,c_282029]) ).
tcf(c_282055,plain,
multiply(inverse(sk_c2),iPr_def_26) = sk_c9,
inference(superposition,[status(thm)],[c_638,c_282029]) ).
tcf(c_282056,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_103,c_282029]) ).
tcf(c_282057,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_104,c_282029]) ).
tcf(c_282058,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_282029]) ).
tcf(c_282059,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270738,c_282029]) ).
tcf(c_282060,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270238,c_282029]) ).
tcf(c_282061,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269921,c_282029]) ).
tcf(c_282062,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269712,c_282029]) ).
tcf(c_282063,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269522,c_282029]) ).
tcf(c_282064,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_271149,c_282029]) ).
tcf(c_282065,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_271129,c_282029]) ).
tcf(c_282066,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269557,c_282029]) ).
tcf(c_282067,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269545,c_282029]) ).
tcf(c_282068,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269525,c_282029]) ).
tcf(c_282069,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269524,c_282029]) ).
tcf(c_282070,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c11),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269523,c_282029]) ).
tcf(c_282071,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_271738,c_282029]) ).
tcf(c_282072,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_271238,c_282029]) ).
tcf(c_282073,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_271182,c_282029]) ).
tcf(c_282074,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_269741,c_282029]) ).
tcf(c_282075,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_269613,c_282029]) ).
tcf(c_282076,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_269596,c_282029]) ).
tcf(c_282077,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270584,c_282029]) ).
tcf(c_282078,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270140,c_282029]) ).
tcf(c_282079,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269841,c_282029]) ).
tcf(c_282080,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269618,c_282029]) ).
tcf(c_282081,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269616,c_282029]) ).
tcf(c_282082,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270381,c_282029]) ).
tcf(c_282083,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270056,c_282029]) ).
tcf(c_282084,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269784,c_282029]) ).
tcf(c_282085,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269619,c_282029]) ).
tcf(c_282086,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c7),iPr_def_15) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269617,c_282029]) ).
tcf(c_282087,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270583,c_282029]) ).
tcf(c_282088,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270139,c_282029]) ).
tcf(c_282089,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269840,c_282029]) ).
tcf(c_282090,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269630,c_282029]) ).
tcf(c_282091,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269628,c_282029]) ).
tcf(c_282092,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270380,c_282029]) ).
tcf(c_282093,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270055,c_282029]) ).
tcf(c_282094,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269783,c_282029]) ).
tcf(c_282095,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269631,c_282029]) ).
tcf(c_282096,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269629,c_282029]) ).
tcf(c_282097,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270582,c_282029]) ).
tcf(c_282098,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_270138,c_282029]) ).
tcf(c_282099,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269839,c_282029]) ).
tcf(c_282100,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269642,c_282029]) ).
tcf(c_282101,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_269640,c_282029]) ).
tcf(c_282102,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270379,c_282029]) ).
tcf(c_282103,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_270054,c_282029]) ).
tcf(c_282104,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269782,c_282029]) ).
tcf(c_282105,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269643,c_282029]) ).
tcf(c_282106,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c5),iPr_def_21) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_269641,c_282029]) ).
tcf(c_282107,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271737,c_282029]) ).
tcf(c_282108,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271237,c_282029]) ).
tcf(c_282109,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271181,c_282029]) ).
tcf(c_282110,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269740,c_282029]) ).
tcf(c_282111,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269653,c_282029]) ).
tcf(c_282112,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269652,c_282029]) ).
tcf(c_282113,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_271148,c_282029]) ).
tcf(c_282114,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_271128,c_282029]) ).
tcf(c_282115,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269663,c_282029]) ).
tcf(c_282116,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269662,c_282029]) ).
tcf(c_282117,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269661,c_282029]) ).
tcf(c_282118,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269659,c_282029]) ).
tcf(c_282119,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269658,c_282029]) ).
tcf(c_282120,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270735,c_282029]) ).
tcf(c_282121,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270235,c_282029]) ).
tcf(c_282122,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269918,c_282029]) ).
tcf(c_282123,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269709,c_282029]) ).
tcf(c_282124,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(sk_c2),iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269660,c_282029]) ).
tcf(c_282125,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271736,c_282029]) ).
tcf(c_282126,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271236,c_282029]) ).
tcf(c_282127,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271180,c_282029]) ).
tcf(c_282128,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269739,c_282029]) ).
tcf(c_282129,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269677,c_282029]) ).
tcf(c_282130,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269676,c_282029]) ).
tcf(c_282131,plain,
multiply(inverse(iPr_def_24),identity) = sk_c3,
inference(superposition,[status(thm)],[c_269682,c_282029]) ).
tcf(c_282132,plain,
multiply(inverse(iPr_def_22),identity) = sk_c4,
inference(superposition,[status(thm)],[c_269683,c_282029]) ).
tcf(c_282133,plain,
multiply(inverse(iPr_def_20),identity) = sk_c5,
inference(superposition,[status(thm)],[c_269684,c_282029]) ).
tcf(c_282134,plain,
multiply(inverse(iPr_def_18),identity) = sk_c7,
inference(superposition,[status(thm)],[c_269685,c_282029]) ).
tcf(c_282135,plain,
multiply(inverse(iPr_def_17),identity) = sk_c6,
inference(superposition,[status(thm)],[c_269686,c_282029]) ).
tcf(c_282136,plain,
multiply(inverse(iPr_def_27),identity) = sk_c1,
inference(superposition,[status(thm)],[c_269687,c_282029]) ).
tcf(c_282137,plain,
multiply(inverse(iPr_def_16),identity) = sk_c2,
inference(superposition,[status(thm)],[c_269688,c_282029]) ).
tcf(c_282138,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281124,c_282029]) ).
tcf(c_282139,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270208,c_282029]) ).
tcf(c_282140,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269883,c_282029]) ).
tcf(c_282141,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269694,c_282029]) ).
tcf(c_282142,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281125,c_282029]) ).
tcf(c_282143,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_270209,c_282029]) ).
tcf(c_282144,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269884,c_282029]) ).
tcf(c_282145,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_269695,c_282029]) ).
tcf(c_282146,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_281696,c_282029]) ).
tcf(c_282147,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270320,c_282029]) ).
tcf(c_282148,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270002,c_282029]) ).
tcf(c_282149,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269754,c_282029]) ).
tcf(c_282150,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_281697,c_282029]) ).
tcf(c_282151,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270321,c_282029]) ).
tcf(c_282152,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_270003,c_282029]) ).
tcf(c_282153,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_269755,c_282029]) ).
tcf(c_282154,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272019,c_282029]) ).
tcf(c_282155,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271929,c_282029]) ).
tcf(c_282156,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271811,c_282029]) ).
tcf(c_282157,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269959,c_282029]) ).
tcf(c_282158,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269860,c_282029]) ).
tcf(c_282159,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269819,c_282029]) ).
tcf(c_282160,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272020,c_282029]) ).
tcf(c_282161,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271930,c_282029]) ).
tcf(c_282162,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_271812,c_282029]) ).
tcf(c_282163,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269960,c_282029]) ).
tcf(c_282164,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269861,c_282029]) ).
tcf(c_282165,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269820,c_282029]) ).
tcf(c_282166,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270465,c_282029]) ).
tcf(c_282167,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270421,c_282029]) ).
tcf(c_282168,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270419,c_282029]) ).
tcf(c_282169,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270417,c_282029]) ).
tcf(c_282170,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270415,c_282029]) ).
tcf(c_282171,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270422,c_282029]) ).
tcf(c_282172,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270420,c_282029]) ).
tcf(c_282173,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270418,c_282029]) ).
tcf(c_282174,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270416,c_282029]) ).
tcf(c_282175,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270414,c_282029]) ).
tcf(c_282176,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272623,c_282029]) ).
tcf(c_282177,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272246,c_282029]) ).
tcf(c_282178,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272105,c_282029]) ).
tcf(c_282179,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270281,c_282029]) ).
tcf(c_282180,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270170,c_282029]) ).
tcf(c_282181,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270101,c_282029]) ).
tcf(c_282182,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272624,c_282029]) ).
tcf(c_282183,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272247,c_282029]) ).
tcf(c_282184,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_272106,c_282029]) ).
tcf(c_282185,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270282,c_282029]) ).
tcf(c_282186,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270171,c_282029]) ).
tcf(c_282187,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_270102,c_282029]) ).
tcf(c_282188,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272627,c_282029]) ).
tcf(c_282189,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272250,c_282029]) ).
tcf(c_282190,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272109,c_282029]) ).
tcf(c_282191,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270285,c_282029]) ).
tcf(c_282192,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270174,c_282029]) ).
tcf(c_282193,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270105,c_282029]) ).
tcf(c_282194,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272772,c_282029]) ).
tcf(c_282195,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272669,c_282029]) ).
tcf(c_282196,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270858,c_282029]) ).
tcf(c_282197,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270791,c_282029]) ).
tcf(c_282198,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270668,c_282029]) ).
tcf(c_282199,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270617,c_282029]) ).
tcf(c_282200,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270514,c_282029]) ).
tcf(c_282201,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272773,c_282029]) ).
tcf(c_282202,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272670,c_282029]) ).
tcf(c_282203,plain,
( ( sk_c10 = iPr_def_25 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270859,c_282029]) ).
tcf(c_282204,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270792,c_282029]) ).
tcf(c_282205,plain,
( ( sk_c10 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270669,c_282029]) ).
tcf(c_282206,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270618,c_282029]) ).
tcf(c_282207,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270515,c_282029]) ).
tcf(c_282208,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_28,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_271003,c_282029]) ).
tcf(c_282209,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_25,X0)) = multiply(sk_c11,X0),
inference(superposition,[status(thm)],[c_271004,c_282029]) ).
tcf(c_282210,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_23,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_271005,c_282029]) ).
tcf(c_282211,plain,
! [X0: $i] : multiply(inverse(sk_c5),multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_271006,c_282029]) ).
tcf(c_282212,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_19,X0)) = multiply(sk_c10,X0),
inference(superposition,[status(thm)],[c_271007,c_282029]) ).
tcf(c_282213,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_15,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_271008,c_282029]) ).
tcf(c_282214,plain,
! [X0: $i] : multiply(inverse(sk_c11),multiply(iPr_def_14,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_271009,c_282029]) ).
tcf(c_282215,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_26,X0)) = multiply(sk_c9,X0),
inference(superposition,[status(thm)],[c_271010,c_282029]) ).
tcf(c_282217,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_271029,c_282029]) ).
tcf(c_282218,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_271028,c_282029]) ).
tcf(c_282219,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_271027,c_282029]) ).
tcf(c_282220,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_271026,c_282029]) ).
tcf(c_282221,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_271025,c_282029]) ).
tcf(c_282222,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_271024,c_282029]) ).
tcf(c_282223,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_271023,c_282029]) ).
tcf(c_282224,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272870,c_282029]) ).
tcf(c_282225,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272459,c_282029]) ).
tcf(c_282226,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272711,c_282029]) ).
tcf(c_282227,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272173,c_282029]) ).
tcf(c_282228,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272712,c_282029]) ).
tcf(c_282229,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_272174,c_282029]) ).
tcf(c_282230,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272715,c_282029]) ).
tcf(c_282231,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(iPr_def_19),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272177,c_282029]) ).
tcf(c_282232,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272816,c_282029]) ).
tcf(c_282233,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272327,c_282029]) ).
tcf(c_282234,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272817,c_282029]) ).
tcf(c_282235,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_272328,c_282029]) ).
tcf(c_282236,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272820,c_282029]) ).
tcf(c_282237,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272331,c_282029]) ).
tcf(c_282238,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272869,c_282029]) ).
tcf(c_282239,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_272458,c_282029]) ).
tcf(c_282240,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_24),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272873,c_282029]) ).
tcf(c_282241,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(iPr_def_24),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272462,c_282029]) ).
tcf(c_282242,plain,
multiply(inverse(iPr_def_16),sk_c9) = iPr_def_26,
inference(superposition,[status(thm)],[c_272966,c_282029]) ).
tcf(c_282243,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),multiply(sk_c9,X0)) = multiply(iPr_def_26,X0),
inference(superposition,[status(thm)],[c_272971,c_282029]) ).
tcf(c_282244,plain,
multiply(inverse(iPr_def_27),sk_c11) = iPr_def_28,
inference(superposition,[status(thm)],[c_272975,c_282029]) ).
tcf(c_282245,plain,
! [X0: $i] : multiply(inverse(iPr_def_27),multiply(sk_c11,X0)) = multiply(iPr_def_28,X0),
inference(superposition,[status(thm)],[c_272977,c_282029]) ).
tcf(c_282246,plain,
multiply(inverse(iPr_def_18),sk_c8) = iPr_def_15,
inference(superposition,[status(thm)],[c_273050,c_282029]) ).
tcf(c_282247,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(sk_c8,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_273056,c_282029]) ).
tcf(c_282248,plain,
multiply(inverse(iPr_def_20),sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_273086,c_282029]) ).
tcf(c_282249,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273669,c_282029]) ).
tcf(c_282250,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273642,c_282029]) ).
tcf(c_282251,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273596,c_282029]) ).
tcf(c_282252,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273672,c_282029]) ).
tcf(c_282253,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273645,c_282029]) ).
tcf(c_282254,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273599,c_282029]) ).
tcf(c_282255,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_273191,c_282029]) ).
tcf(c_282256,plain,
multiply(inverse(iPr_def_22),sk_c10) = iPr_def_23,
inference(superposition,[status(thm)],[c_273206,c_282029]) ).
tcf(c_282257,plain,
! [X0: $i] : multiply(inverse(iPr_def_22),multiply(sk_c10,X0)) = multiply(iPr_def_23,X0),
inference(superposition,[status(thm)],[c_273208,c_282029]) ).
tcf(c_282258,plain,
multiply(inverse(iPr_def_24),sk_c11) = iPr_def_25,
inference(superposition,[status(thm)],[c_273209,c_282029]) ).
tcf(c_282259,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c11,X0)) = multiply(iPr_def_25,X0),
inference(superposition,[status(thm)],[c_273211,c_282029]) ).
tcf(c_282260,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),sk_c11) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_273275,c_282029]) ).
tcf(c_282261,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),sk_c11) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_273230,c_282029]) ).
tcf(c_282262,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_273232,c_282029]) ).
tcf(c_282263,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_276442,c_282029]) ).
tcf(c_282264,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_275660,c_282029]) ).
tcf(c_282265,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30413,c_282029]) ).
tcf(c_282266,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_276443,c_282029]) ).
tcf(c_282267,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_275662,c_282029]) ).
tcf(c_282268,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30414,c_282029]) ).
tcf(c_282269,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_276148,c_282029]) ).
tcf(c_282270,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_275470,c_282029]) ).
tcf(c_282271,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30796,c_282029]) ).
tcf(c_282272,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_276149,c_282029]) ).
tcf(c_282273,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_275472,c_282029]) ).
tcf(c_282274,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30797,c_282029]) ).
tcf(c_282275,plain,
multiply(inverse(sk_c1),multiply(iPr_def_28,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_278130,c_282029]) ).
tcf(c_282276,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_10349,c_282029]) ).
tcf(c_282277,plain,
multiply(inverse(sk_c3),multiply(iPr_def_25,sk_c9)) = iPr_def_14,
inference(superposition,[status(thm)],[c_278634,c_282029]) ).
tcf(c_282278,plain,
multiply(inverse(sk_c5),multiply(iPr_def_21,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_279212,c_282029]) ).
tcf(c_282279,plain,
multiply(inverse(sk_c7),multiply(iPr_def_15,sk_c10)) = iPr_def_19,
inference(superposition,[status(thm)],[c_279510,c_282029]) ).
tcf(c_282280,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_14,sk_c2)) = identity ) ),
inference(superposition,[status(thm)],[c_270990,c_282029]) ).
tcf(c_282281,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_282029,c_282029]) ).
tcf(c_282282,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_282029,c_105]) ).
tcf(c_283142,plain,
multiply(inverse(inverse(sk_c8)),sk_c10) = iPr_def_19,
inference(superposition,[status(thm)],[c_282052,c_282029]) ).
tcf(c_283178,plain,
multiply(inverse(inverse(sk_c11)),sk_c9) = iPr_def_14,
inference(superposition,[status(thm)],[c_282054,c_282029]) ).
tcf(c_283180,plain,
multiply(sk_c3,identity) = sk_c3,
inference(demodulation,[status(thm)],[c_282131,c_282217]) ).
tcf(c_283181,plain,
multiply(inverse(sk_c3),sk_c3) = identity,
inference(superposition,[status(thm)],[c_283180,c_282029]) ).
tcf(c_283182,plain,
! [X0: $i] : multiply(sk_c3,multiply(identity,X0)) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_283180,c_105]) ).
tcf(c_283186,plain,
multiply(sk_c4,identity) = sk_c4,
inference(demodulation,[status(thm)],[c_282132,c_282218]) ).
tcf(c_283187,plain,
multiply(inverse(sk_c4),sk_c4) = identity,
inference(superposition,[status(thm)],[c_283186,c_282029]) ).
tcf(c_283188,plain,
! [X0: $i] : multiply(sk_c4,multiply(identity,X0)) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_283186,c_105]) ).
tcf(c_283192,plain,
multiply(sk_c5,identity) = sk_c5,
inference(demodulation,[status(thm)],[c_282133,c_282219]) ).
tcf(c_283193,plain,
multiply(inverse(sk_c5),sk_c5) = identity,
inference(superposition,[status(thm)],[c_283192,c_282029]) ).
tcf(c_283194,plain,
! [X0: $i] : multiply(sk_c5,multiply(identity,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_283192,c_105]) ).
tcf(c_283198,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm)],[c_282134,c_282220]) ).
tcf(c_283199,plain,
multiply(inverse(sk_c7),sk_c7) = identity,
inference(superposition,[status(thm)],[c_283198,c_282029]) ).
tcf(c_283200,plain,
! [X0: $i] : multiply(sk_c7,multiply(identity,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_283198,c_105]) ).
tcf(c_283220,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,multiply(iPr_def_16,multiply(X0,X1))) = multiply(iPr_def_14,multiply(X0,X1)) ) ),
inference(demodulation,[status(thm)],[c_271021,c_105]) ).
tcf(c_283221,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_282057,c_282281]) ).
tcf(c_283226,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,sk_c2) = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_270990,c_283221]) ).
tcf(c_283232,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_283221,c_105]) ).
tcf(c_283234,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_283221,c_105]) ).
tcf(c_283235,plain,
multiply(sk_c11,identity) = multiply(iPr_def_27,iPr_def_28),
inference(superposition,[status(thm)],[c_283221,c_272977]) ).
tcf(c_283236,plain,
multiply(sk_c3,sk_c11) = multiply(iPr_def_25,identity),
inference(superposition,[status(thm)],[c_283221,c_271004]) ).
tcf(c_283237,plain,
multiply(sk_c1,sk_c11) = multiply(iPr_def_28,identity),
inference(superposition,[status(thm)],[c_283221,c_271003]) ).
tcf(c_283238,plain,
multiply(sk_c11,identity) = multiply(iPr_def_24,iPr_def_25),
inference(superposition,[status(thm)],[c_283221,c_273211]) ).
tcf(c_283239,plain,
multiply(sk_c10,identity) = multiply(iPr_def_22,iPr_def_23),
inference(superposition,[status(thm)],[c_283221,c_273208]) ).
tcf(c_283240,plain,
multiply(sk_c8,sk_c10) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_283221,c_271007]) ).
tcf(c_283241,plain,
multiply(sk_c4,sk_c10) = multiply(iPr_def_23,identity),
inference(superposition,[status(thm)],[c_283221,c_271005]) ).
tcf(c_283242,plain,
multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_283221,c_273191]) ).
tcf(c_283243,plain,
multiply(sk_c7,sk_c8) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_283221,c_271008]) ).
tcf(c_283244,plain,
multiply(sk_c5,sk_c8) = multiply(iPr_def_21,identity),
inference(superposition,[status(thm)],[c_283221,c_271006]) ).
tcf(c_283245,plain,
multiply(sk_c8,identity) = multiply(iPr_def_18,iPr_def_15),
inference(superposition,[status(thm)],[c_283221,c_273056]) ).
tcf(c_283246,plain,
multiply(sk_c2,sk_c9) = multiply(iPr_def_26,identity),
inference(superposition,[status(thm)],[c_283221,c_271010]) ).
tcf(c_283247,plain,
multiply(sk_c11,sk_c9) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_283221,c_271009]) ).
tcf(c_283248,plain,
multiply(sk_c9,identity) = multiply(iPr_def_16,iPr_def_26),
inference(superposition,[status(thm)],[c_283221,c_272971]) ).
tcf(c_283256,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,identity) = multiply(iPr_def_26,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_283221,c_10349]) ).
tcf(c_283257,plain,
multiply(sk_c9,identity) = sk_c9,
inference(light_normalisation,[status(thm)],[c_283248,c_272966]) ).
tcf(c_283258,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_283247,c_626]) ).
tcf(c_283259,plain,
multiply(iPr_def_26,identity) = iPr_def_26,
inference(light_normalisation,[status(thm)],[c_283246,c_638]) ).
tcf(c_283260,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_283245,c_273050]) ).
tcf(c_283261,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_283244,c_633]) ).
tcf(c_283262,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_283243,c_627]) ).
tcf(c_283264,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(light_normalisation,[status(thm)],[c_283241,c_635]) ).
tcf(c_283265,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_283240,c_631]) ).
tcf(c_283266,plain,
multiply(sk_c10,identity) = sk_c10,
inference(light_normalisation,[status(thm)],[c_283239,c_273206]) ).
tcf(c_283267,plain,
multiply(sk_c11,identity) = sk_c11,
inference(light_normalisation,[status(thm)],[c_283238,c_273209]) ).
tcf(c_283268,plain,
multiply(iPr_def_28,identity) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_283237,c_640]) ).
tcf(c_283269,plain,
multiply(iPr_def_25,identity) = iPr_def_25,
inference(light_normalisation,[status(thm)],[c_283236,c_637]) ).
tcf(c_283297,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281620,c_271348]) ).
tcf(c_283298,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_281050,c_271348]) ).
tcf(c_283313,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270579,c_271348]) ).
tcf(c_283314,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_270466,c_271348]) ).
tcf(c_283315,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269998,c_271348]) ).
tcf(c_283316,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269838,c_271348]) ).
tcf(c_283317,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_269803,c_271348]) ).
tcf(c_283318,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_28 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_696,c_271348]) ).
tcf(c_283319,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_271348]) ).
tcf(c_283320,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_271348]) ).
tcf(c_283321,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_271348]) ).
tcf(c_283322,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_271348]) ).
tcf(c_283323,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_686,c_271348]) ).
tcf(c_283324,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_683,c_271348]) ).
tcf(c_283325,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_676,c_271348]) ).
tcf(c_283326,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_271348]) ).
tcf(c_283327,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_673,c_271348]) ).
tcf(c_283328,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_271348]) ).
tcf(c_283329,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_271348]) ).
tcf(c_283330,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( iPr_def_22 != iPr_def_25 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_666,c_271348]) ).
tcf(c_283331,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_663,c_271348]) ).
tcf(c_283442,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_283324,c_14950]) ).
tcf(c_283448,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_283327,c_14956]) ).
tcf(c_283454,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_283331,c_14962]) ).
tcf(c_283564,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269491,c_271498]) ).
tcf(c_283565,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269479,c_271498]) ).
tcf(c_283566,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_23 )
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_694,c_271498]) ).
tcf(c_283567,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_23 )
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_684,c_271498]) ).
tcf(c_283568,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_23 )
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_674,c_271498]) ).
tcf(c_283570,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_656,c_271498]) ).
tcf(c_283571,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_655,c_271498]) ).
tcf(c_283572,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11
| ( iPr_def_16 != iPr_def_23 )
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_654,c_271498]) ).
tcf(c_283573,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_653,c_271498]) ).
tcf(c_283574,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_652,c_271498]) ).
tcf(c_283575,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_650,c_271498]) ).
tcf(c_283623,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_283570,c_7163,c_15044]) ).
tcf(c_283639,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_283571,c_7095,c_15045]) ).
tcf(c_283645,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_283573,c_6892,c_15047]) ).
tcf(c_283654,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_24)),multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_282217,c_282029]) ).
tcf(c_283655,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_24),multiply(X0,X1)) = multiply(multiply(sk_c3,X0),X1),
inference(superposition,[status(thm)],[c_282217,c_105]) ).
tcf(c_283656,plain,
multiply(sk_c3,iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_282217,c_104]) ).
tcf(c_283657,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_24)) != sk_c10 )
| ( multiply(sk_c3,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_282217,c_644]) ).
tcf(c_283658,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_24))) != inverse(X0) )
| ( multiply(sk_c3,inverse(X0)) != inverse(inverse(iPr_def_24)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282217,c_642]) ).
tcf(c_283659,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_24)) != sk_c9 )
| ( multiply(sk_c3,sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282217,c_645]) ).
tcf(c_283660,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_24,X0)) = X0,
inference(superposition,[status(thm)],[c_282217,c_282029]) ).
tcf(c_283661,plain,
multiply(sk_c3,identity) = inverse(iPr_def_24),
inference(superposition,[status(thm)],[c_282217,c_283221]) ).
tcf(c_283673,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_272870,c_283656]) ).
tcf(c_283674,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( identity = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_272459,c_283656]) ).
tcf(c_283689,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_283574,c_15186]) ).
tcf(c_283695,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_283575,c_15202]) ).
tcf(c_283723,plain,
multiply(inverse(sk_c3),identity) = iPr_def_24,
inference(superposition,[status(thm)],[c_283656,c_282029]) ).
tcf(c_283724,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_24,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_283656,c_105]) ).
tcf(c_283725,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(superposition,[status(thm)],[c_283656,c_271029]) ).
tcf(c_283732,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(X0,iPr_def_25) = X0 ) ),
inference(superposition,[status(thm)],[c_283673,c_283221]) ).
tcf(c_283733,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283673,c_103]) ).
tcf(c_283734,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_283673,c_60797]) ).
tcf(c_283745,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(X0,iPr_def_25) = X0 ) ),
inference(superposition,[status(thm)],[c_283674,c_283221]) ).
tcf(c_283746,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_25,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283674,c_103]) ).
tcf(c_283747,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( inverse(iPr_def_25) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_283674,c_60797]) ).
tcf(c_283770,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_25),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283733,c_282029]) ).
tcf(c_283771,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_283733,c_105]) ).
tcf(c_283772,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_283733,c_644]) ).
tcf(c_283773,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_25) )
| ( inverse(inverse(iPr_def_25)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_283733,c_642]) ).
tcf(c_283774,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283733,c_645]) ).
tcf(c_283775,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_283733,c_273211]) ).
tcf(c_283818,plain,
inverse(iPr_def_24) = sk_c3,
inference(demodulation,[status(thm)],[c_283661,c_283221]) ).
tcf(c_283822,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_24) )
| ( multiply(X0,sk_c3) != inverse(X0) )
| ( multiply(iPr_def_24,inverse(iPr_def_24)) != sk_c11 )
| ( multiply(inverse(iPr_def_24),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_283818,c_642]) ).
tcf(c_283823,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c3,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c3 )
| ( multiply(X0,sk_c3) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_283822,c_269682,c_283818]) ).
tcf(c_283830,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272873,c_283660]) ).
tcf(c_283831,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c3,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272462,c_283660]) ).
tcf(c_283832,plain,
multiply(sk_c3,sk_c11) = iPr_def_25,
inference(superposition,[status(thm)],[c_273209,c_283660]) ).
tcf(c_283835,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_283660,c_282029]) ).
tcf(c_283836,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_24,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_283660,c_105]) ).
tcf(c_283838,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_25,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_283831,c_278634]) ).
tcf(c_283841,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_25,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_283830,c_278634]) ).
tcf(c_283874,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_22)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_282218,c_282029]) ).
tcf(c_283875,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_22),multiply(X0,X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_282218,c_105]) ).
tcf(c_283876,plain,
multiply(sk_c4,iPr_def_22) = identity,
inference(superposition,[status(thm)],[c_282218,c_104]) ).
tcf(c_283877,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_22)) != sk_c10 )
| ( multiply(sk_c4,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_282218,c_644]) ).
tcf(c_283878,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_22))) != inverse(X0) )
| ( multiply(sk_c4,inverse(X0)) != inverse(inverse(iPr_def_22)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282218,c_642]) ).
tcf(c_283879,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_22)) != sk_c9 )
| ( multiply(sk_c4,sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282218,c_645]) ).
tcf(c_283880,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_22,X0)) = X0,
inference(superposition,[status(thm)],[c_282218,c_282029]) ).
tcf(c_283881,plain,
multiply(sk_c4,identity) = inverse(iPr_def_22),
inference(superposition,[status(thm)],[c_282218,c_283221]) ).
tcf(c_283885,plain,
( ~ iPr_def_12
| ( sk_c9 != iPr_def_23 )
| ( inverse(inverse(iPr_def_22)) != sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_283877,c_635]) ).
tcf(c_283894,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( identity = iPr_def_23 ) ),
inference(demodulation,[status(thm)],[c_281124,c_283876]) ).
tcf(c_283895,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_270208,c_283876]) ).
tcf(c_283896,plain,
( ( identity = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_269883,c_283876]) ).
tcf(c_283897,plain,
( ( identity = iPr_def_23 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_269694,c_283876]) ).
tcf(c_283929,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_283733,c_271988]) ).
tcf(c_283930,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,identity) = multiply(iPr_def_20,iPr_def_25) ) ),
inference(superposition,[status(thm)],[c_283221,c_271988]) ).
tcf(c_283931,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_19,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_271988,c_282029]) ).
tcf(c_283932,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(multiply(iPr_def_25,X0),X1)) = multiply(multiply(iPr_def_19,X0),X1) ) ),
inference(superposition,[status(thm)],[c_271988,c_105]) ).
tcf(c_283954,plain,
multiply(inverse(sk_c4),identity) = iPr_def_22,
inference(superposition,[status(thm)],[c_283876,c_282029]) ).
tcf(c_283955,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_22,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_283876,c_105]) ).
tcf(c_283956,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(superposition,[status(thm)],[c_283876,c_271028]) ).
tcf(c_283973,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_283894,c_283673]) ).
tcf(c_283974,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_283894,c_283221]) ).
tcf(c_283975,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283894,c_103]) ).
tcf(c_283976,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283894,c_60797]) ).
tcf(c_283991,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_283895,c_283674]) ).
tcf(c_283993,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_283895,c_283221]) ).
tcf(c_283994,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283895,c_103]) ).
tcf(c_283995,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283895,c_60797]) ).
tcf(c_284049,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_283896,c_283674]) ).
tcf(c_284051,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_283896,c_283221]) ).
tcf(c_284052,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283896,c_103]) ).
tcf(c_284053,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283896,c_60797]) ).
tcf(c_284065,plain,
inverse(iPr_def_22) = sk_c4,
inference(demodulation,[status(thm)],[c_283881,c_283221]) ).
tcf(c_284069,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_22) )
| ( multiply(X0,sk_c4) != inverse(X0) )
| ( multiply(iPr_def_22,inverse(iPr_def_22)) != sk_c11 )
| ( multiply(inverse(iPr_def_22),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284065,c_642]) ).
tcf(c_284070,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != iPr_def_23 )
| ( sk_c11 != identity )
| ( inverse(inverse(X0)) != sk_c4 )
| ( multiply(X0,sk_c4) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_284069,c_635,c_269683,c_284065]) ).
tcf(c_284077,plain,
multiply(sk_c4,sk_c10) = iPr_def_23,
inference(superposition,[status(thm)],[c_273206,c_283880]) ).
tcf(c_284080,plain,
! [X0: $i] : multiply(inverse(sk_c4),X0) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_283880,c_282029]) ).
tcf(c_284081,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_22,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_283880,c_105]) ).
tcf(c_284128,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_23 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_283897,c_283674]) ).
tcf(c_284130,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(X0,iPr_def_23) = X0 ) ),
inference(superposition,[status(thm)],[c_283897,c_283221]) ).
tcf(c_284131,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283897,c_103]) ).
tcf(c_284132,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_23) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283897,c_60797]) ).
tcf(c_284174,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(inverse(iPr_def_25),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283746,c_282029]) ).
tcf(c_284175,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(iPr_def_25,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_283746,c_105]) ).
tcf(c_284176,plain,
( ( iPr_def_26 = iPr_def_27 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_25) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_283746,c_644]) ).
tcf(c_284177,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_25) )
| ( inverse(inverse(iPr_def_25)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_283746,c_642]) ).
tcf(c_284178,plain,
( ( iPr_def_26 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_25) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283746,c_645]) ).
tcf(c_284179,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_283746,c_271988]) ).
tcf(c_284180,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_24,X0) ) ),
inference(superposition,[status(thm)],[c_283746,c_273211]) ).
tcf(c_284211,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283975,c_282029]) ).
tcf(c_284212,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(iPr_def_23,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_283975,c_105]) ).
tcf(c_284213,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_23) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_283975,c_644]) ).
tcf(c_284214,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_23) )
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_283975,c_642]) ).
tcf(c_284215,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283975,c_645]) ).
tcf(c_284216,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_283975,c_273208]) ).
tcf(c_284252,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283994,c_282029]) ).
tcf(c_284253,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_23,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_283994,c_105]) ).
tcf(c_284255,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_23) )
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_283994,c_642]) ).
tcf(c_284256,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_283994,c_645]) ).
tcf(c_284257,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_283994,c_273208]) ).
tcf(c_284283,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284052,c_282029]) ).
tcf(c_284284,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_23,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_284052,c_105]) ).
tcf(c_284286,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_23) )
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284052,c_642]) ).
tcf(c_284287,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284052,c_645]) ).
tcf(c_284288,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_284052,c_273208]) ).
tcf(c_284351,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_283973,c_272977]) ).
tcf(c_284356,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_283973,c_270859]) ).
tcf(c_284357,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283973,c_270858]) ).
tcf(c_284360,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_283973,c_270669]) ).
tcf(c_284361,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_283973,c_270668]) ).
tcf(c_284366,plain,
( ( iPr_def_23 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_283973,c_272975]) ).
tcf(c_284386,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_20)),multiply(sk_c5,X0)) = X0,
inference(superposition,[status(thm)],[c_282219,c_282029]) ).
tcf(c_284387,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_20),multiply(X0,X1)) = multiply(multiply(sk_c5,X0),X1),
inference(superposition,[status(thm)],[c_282219,c_105]) ).
tcf(c_284388,plain,
multiply(sk_c5,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_282219,c_104]) ).
tcf(c_284389,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_20)) != sk_c10 )
| ( multiply(sk_c5,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_282219,c_644]) ).
tcf(c_284390,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_20))) != inverse(X0) )
| ( multiply(sk_c5,inverse(X0)) != inverse(inverse(iPr_def_20)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282219,c_642]) ).
tcf(c_284391,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_20)) != sk_c9 )
| ( multiply(sk_c5,sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282219,c_645]) ).
tcf(c_284392,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_282219,c_282029]) ).
tcf(c_284393,plain,
multiply(sk_c5,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_282219,c_283221]) ).
tcf(c_284405,plain,
( ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_270582,c_284388]) ).
tcf(c_284406,plain,
( ( identity = iPr_def_21 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_270138,c_284388]) ).
tcf(c_284407,plain,
( ( identity = iPr_def_21 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_269839,c_284388]) ).
tcf(c_284408,plain,
( ( identity = iPr_def_21 )
| ( sk_c9 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_269642,c_284388]) ).
tcf(c_284409,plain,
( ( identity = iPr_def_21 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_269640,c_284388]) ).
tcf(c_284449,plain,
multiply(inverse(sk_c5),identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_284388,c_282029]) ).
tcf(c_284450,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_20,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_284388,c_105]) ).
tcf(c_284451,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_284388,c_271027]) ).
tcf(c_284454,plain,
inverse(iPr_def_20) = sk_c5,
inference(demodulation,[status(thm)],[c_284393,c_283221]) ).
tcf(c_284458,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_20) )
| ( multiply(X0,sk_c5) != inverse(X0) )
| ( multiply(iPr_def_20,inverse(iPr_def_20)) != sk_c11 )
| ( multiply(inverse(iPr_def_20),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284454,c_642]) ).
tcf(c_284459,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c5,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c5 )
| ( multiply(X0,sk_c5) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_284458,c_269684,c_284454]) ).
tcf(c_284493,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284405,c_283897]) ).
tcf(c_284494,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284405,c_283896]) ).
tcf(c_284495,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284405,c_283895]) ).
tcf(c_284496,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284405,c_283894]) ).
tcf(c_284497,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284405,c_283674]) ).
tcf(c_284498,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284405,c_283673]) ).
tcf(c_284499,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(X0,iPr_def_21) = X0 ) ),
inference(superposition,[status(thm)],[c_284405,c_283221]) ).
tcf(c_284500,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284405,c_103]) ).
tcf(c_284501,plain,
( ( sk_c10 = iPr_def_28 )
| ( inverse(iPr_def_21) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_284405,c_60797]) ).
tcf(c_284542,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284406,c_283896]) ).
tcf(c_284543,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284406,c_283895]) ).
tcf(c_284544,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284406,c_283894]) ).
tcf(c_284545,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284406,c_283674]) ).
tcf(c_284546,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284406,c_283673]) ).
tcf(c_284547,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(X0,iPr_def_21) = X0 ) ),
inference(superposition,[status(thm)],[c_284406,c_283221]) ).
tcf(c_284548,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284406,c_103]) ).
tcf(c_284549,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_21) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_284406,c_60797]) ).
tcf(c_284602,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284407,c_283896]) ).
tcf(c_284604,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284407,c_283894]) ).
tcf(c_284605,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284407,c_283674]) ).
tcf(c_284606,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284407,c_283673]) ).
tcf(c_284607,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(X0,iPr_def_21) = X0 ) ),
inference(superposition,[status(thm)],[c_284407,c_283221]) ).
tcf(c_284608,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284407,c_103]) ).
tcf(c_284609,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(iPr_def_21) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_284407,c_60797]) ).
tcf(c_284654,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284408,c_283897]) ).
tcf(c_284655,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284408,c_283896]) ).
tcf(c_284656,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284408,c_283895]) ).
tcf(c_284657,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_284408,c_283894]) ).
tcf(c_284658,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_284408,c_283674]) ).
tcf(c_284659,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_284408,c_283673]) ).
tcf(c_284660,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(X0,iPr_def_21) = X0 ) ),
inference(superposition,[status(thm)],[c_284408,c_283221]) ).
tcf(c_284661,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284408,c_103]) ).
tcf(c_284662,plain,
( ( sk_c9 = iPr_def_16 )
| ( inverse(iPr_def_21) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_284408,c_60797]) ).
tcf(c_284713,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c5,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270583,c_284392]) ).
tcf(c_284714,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270139,c_284392]) ).
tcf(c_284715,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269840,c_284392]) ).
tcf(c_284716,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c5,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269630,c_284392]) ).
tcf(c_284717,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269628,c_284392]) ).
tcf(c_284719,plain,
multiply(sk_c5,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_273086,c_284392]) ).
tcf(c_284721,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_276442,c_284392]) ).
tcf(c_284722,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_275660,c_284392]) ).
tcf(c_284723,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30413,c_284392]) ).
tcf(c_284724,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_276443,c_284392]) ).
tcf(c_284725,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_275662,c_284392]) ).
tcf(c_284726,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30414,c_284392]) ).
tcf(c_284727,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_271988,c_284392]) ).
tcf(c_284729,plain,
! [X0: $i] : multiply(inverse(sk_c5),X0) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_284392,c_282029]) ).
tcf(c_284730,plain,
! [X0: $i,X1: $i] : multiply(sk_c5,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_284392,c_105]) ).
tcf(c_284732,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_284726,c_279212]) ).
tcf(c_284735,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_284725,c_279212]) ).
tcf(c_284738,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_284724,c_279212]) ).
tcf(c_284741,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_284723,c_279212]) ).
tcf(c_284744,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_284722,c_279212]) ).
tcf(c_284747,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c10) = iPr_def_25 ) ),
inference(light_normalisation,[status(thm)],[c_284721,c_279212]) ).
tcf(c_284750,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_284717,c_279212]) ).
tcf(c_284753,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_21,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_284716,c_279212]) ).
tcf(c_284756,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_284715,c_279212]) ).
tcf(c_284759,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_284714,c_279212]) ).
tcf(c_284762,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_21,sk_c10) = sk_c10 ) ),
inference(light_normalisation,[status(thm)],[c_284713,c_279212]) ).
tcf(c_284765,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_25,X0) ) ),
inference(light_normalisation,[status(thm)],[c_284727,c_279432]) ).
tcf(c_284890,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284409,c_283897]) ).
tcf(c_284893,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284409,c_283894]) ).
tcf(c_284894,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284409,c_283674]) ).
tcf(c_284895,plain,
( ( iPr_def_21 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284409,c_283673]) ).
tcf(c_284896,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(X0,iPr_def_21) = X0 ) ),
inference(superposition,[status(thm)],[c_284409,c_283221]) ).
tcf(c_284897,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284409,c_103]) ).
tcf(c_284898,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_21) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_284409,c_60797]) ).
tcf(c_285006,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(iPr_def_27),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_284543,c_282054]) ).
tcf(c_285009,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_27,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_284543,c_271009]) ).
tcf(c_285010,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_27,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_284543,c_271004]) ).
tcf(c_285011,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_284543,c_271003]) ).
tcf(c_285012,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284543,c_270738]) ).
tcf(c_285019,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284543,c_269557]) ).
tcf(c_285023,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284543,c_269523]) ).
tcf(c_285024,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_27,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284543,c_269522]) ).
tcf(c_285025,plain,
( ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284543,c_270785]) ).
tcf(c_285026,plain,
( ( iPr_def_21 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284543,c_270613]) ).
tcf(c_285027,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_27 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284543,c_270511]) ).
tcf(c_285028,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284543,c_270280]) ).
tcf(c_285029,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284543,c_270172]) ).
tcf(c_285030,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284543,c_270104]) ).
tcf(c_285032,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_284543,c_269605]) ).
tcf(c_285033,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_284543,c_269585]) ).
tcf(c_285034,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_284543,c_665]) ).
tcf(c_285035,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_27) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284543,c_640]) ).
tcf(c_285036,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_27) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_284543,c_637]) ).
tcf(c_285037,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_284543,c_662]) ).
tcf(c_285038,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_284543,c_660]) ).
tcf(c_285039,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_27,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284543,c_626]) ).
tcf(c_285185,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_269685,c_272991]) ).
tcf(c_285186,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271026,c_272991]) ).
tcf(c_285187,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_273050,c_272991]) ).
tcf(c_285188,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_273056,c_272991]) ).
tcf(c_285190,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_272991,c_282029]) ).
tcf(c_285191,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272991,c_105]) ).
tcf(c_285198,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285190,c_282221]) ).
tcf(c_285238,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_272992,c_282029]) ).
tcf(c_285239,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_272992,c_105]) ).
tcf(c_285240,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285238,c_282221]) ).
tcf(c_285249,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_269685,c_272993]) ).
tcf(c_285250,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271026,c_272993]) ).
tcf(c_285251,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_273050,c_272993]) ).
tcf(c_285252,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_273056,c_272993]) ).
tcf(c_285254,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_272993,c_282029]) ).
tcf(c_285255,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272993,c_105]) ).
tcf(c_285262,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285254,c_282221]) ).
tcf(c_285283,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_272994,c_282029]) ).
tcf(c_285284,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272994,c_105]) ).
tcf(c_285285,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285283,c_282221]) ).
tcf(c_285294,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_269685,c_272995]) ).
tcf(c_285295,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271026,c_272995]) ).
tcf(c_285296,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_273050,c_272995]) ).
tcf(c_285297,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_273056,c_272995]) ).
tcf(c_285299,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_272995,c_282029]) ).
tcf(c_285300,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272995,c_105]) ).
tcf(c_285307,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285299,c_282221]) ).
tcf(c_285347,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_272996,c_282029]) ).
tcf(c_285348,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_272996,c_105]) ).
tcf(c_285349,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285347,c_282221]) ).
tcf(c_285372,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_269685,c_272997]) ).
tcf(c_285373,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271026,c_272997]) ).
tcf(c_285374,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_273050,c_272997]) ).
tcf(c_285375,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_273056,c_272997]) ).
tcf(c_285377,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_272997,c_282029]) ).
tcf(c_285378,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272997,c_105]) ).
tcf(c_285385,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285377,c_282221]) ).
tcf(c_285397,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_272998,c_282029]) ).
tcf(c_285398,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272998,c_105]) ).
tcf(c_285399,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285397,c_282221]) ).
tcf(c_285429,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,sk_c4) = multiply(iPr_def_20,identity) ) ),
inference(superposition,[status(thm)],[c_269683,c_272963]) ).
tcf(c_285430,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_271028,c_272963]) ).
tcf(c_285431,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_23) = multiply(iPr_def_20,sk_c10) ) ),
inference(superposition,[status(thm)],[c_273206,c_272963]) ).
tcf(c_285432,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,multiply(iPr_def_23,X0)) = multiply(iPr_def_20,multiply(sk_c10,X0)) ) ),
inference(superposition,[status(thm)],[c_273208,c_272963]) ).
tcf(c_285433,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,identity) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_283221,c_272963]) ).
tcf(c_285434,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_19,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272963,c_282029]) ).
tcf(c_285435,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_20,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(iPr_def_19,X0),X1) ) ),
inference(superposition,[status(thm)],[c_272963,c_105]) ).
tcf(c_285436,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c5,multiply(iPr_def_19,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_272963,c_284392]) ).
tcf(c_285443,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(sk_c10,X0)) = multiply(iPr_def_22,X0) ) ),
inference(light_normalisation,[status(thm)],[c_285436,c_279432]) ).
tcf(c_285470,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_23),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284131,c_282029]) ).
tcf(c_285471,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_23,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_284131,c_105]) ).
tcf(c_285473,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_23) )
| ( inverse(inverse(iPr_def_23)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284131,c_642]) ).
tcf(c_285474,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_23) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284131,c_645]) ).
tcf(c_285475,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c10,X0) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_284131,c_273208]) ).
tcf(c_285635,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_21),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284500,c_282029]) ).
tcf(c_285636,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_21,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_284500,c_105]) ).
tcf(c_285637,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_284500,c_644]) ).
tcf(c_285638,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_21) )
| ( inverse(inverse(iPr_def_21)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284500,c_642]) ).
tcf(c_285639,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284500,c_645]) ).
tcf(c_285640,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_284500,c_273191]) ).
tcf(c_285641,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284500,c_272820]) ).
tcf(c_285642,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284500,c_272331]) ).
tcf(c_285680,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_21),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284548,c_282029]) ).
tcf(c_285681,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_21,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_284548,c_105]) ).
tcf(c_285683,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_21) )
| ( inverse(inverse(iPr_def_21)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284548,c_642]) ).
tcf(c_285684,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284548,c_645]) ).
tcf(c_285685,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_284548,c_273191]) ).
tcf(c_285686,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284548,c_272820]) ).
tcf(c_285687,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284548,c_272331]) ).
tcf(c_285721,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_21),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284608,c_282029]) ).
tcf(c_285722,plain,
! [X0: $i,X1: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_21,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_284608,c_105]) ).
tcf(c_285724,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_21) )
| ( inverse(inverse(iPr_def_21)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284608,c_642]) ).
tcf(c_285725,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284608,c_645]) ).
tcf(c_285726,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_284608,c_273191]) ).
tcf(c_285727,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284608,c_272820]) ).
tcf(c_285728,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284608,c_272331]) ).
tcf(c_285820,plain,
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_12
| ( iPr_def_14 != iPr_def_22 )
| ( sk_c9 != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284602,c_271348]) ).
tcf(c_285821,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_284602,c_281620]) ).
tcf(c_285822,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_284602,c_281050]) ).
tcf(c_285827,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c8,multiply(iPr_def_14,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_284602,c_271007]) ).
tcf(c_285830,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_23,X0) ) ),
inference(superposition,[status(thm)],[c_284602,c_271005]) ).
tcf(c_285833,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_284602,c_270583]) ).
tcf(c_285835,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_284602,c_270380]) ).
tcf(c_285842,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_284602,c_269631]) ).
tcf(c_285843,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_20,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_284602,c_269630]) ).
tcf(c_285848,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c10 )
| ( multiply(X0,iPr_def_14) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284602,c_644]) ).
tcf(c_285849,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| ( iPr_def_21 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284602,c_270900]) ).
tcf(c_285855,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284602,c_686]) ).
tcf(c_285856,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_284602,c_683]) ).
tcf(c_285857,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284602,c_676]) ).
tcf(c_285858,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284602,c_673]) ).
tcf(c_285859,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284602,c_666]) ).
tcf(c_285860,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284602,c_663]) ).
tcf(c_285861,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284602,c_635]) ).
tcf(c_285862,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_284602,c_631]) ).
tcf(c_285977,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284890,c_284543]) ).
tcf(c_285979,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_284890,c_282054]) ).
tcf(c_285982,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_284890,c_271009]) ).
tcf(c_285984,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c3,multiply(iPr_def_26,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_284890,c_271004]) ).
tcf(c_285986,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_284890,c_271003]) ).
tcf(c_285987,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284890,c_270738]) ).
tcf(c_285992,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284890,c_269557]) ).
tcf(c_285996,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284890,c_269523]) ).
tcf(c_285997,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_26,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284890,c_269522]) ).
tcf(c_285998,plain,
( ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284890,c_270785]) ).
tcf(c_285999,plain,
( ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284890,c_270613]) ).
tcf(c_286000,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_26 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284890,c_270511]) ).
tcf(c_286002,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_24 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284890,c_270280]) ).
tcf(c_286003,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_21 = iPr_def_26 )
| ( iPr_def_21 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_284890,c_270172]) ).
tcf(c_286010,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_284890,c_640]) ).
tcf(c_286011,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_284890,c_637]) ).
tcf(c_286012,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284890,c_626]) ).
tcf(c_286109,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_285977,c_272977]) ).
tcf(c_286131,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_26,iPr_def_28) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_285977,c_272975]) ).
tcf(c_286132,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_285977,c_271024]) ).
tcf(c_286133,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_26,sk_c1) = identity ) ),
inference(superposition,[status(thm)],[c_285977,c_269687]) ).
tcf(c_286160,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,identity) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_269685,c_272999]) ).
tcf(c_286161,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c7,X0) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_271026,c_272999]) ).
tcf(c_286162,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,sk_c8) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_273050,c_272999]) ).
tcf(c_286163,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(sk_c8,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_273056,c_272999]) ).
tcf(c_286165,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_272999,c_282029]) ).
tcf(c_286166,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_272999,c_105]) ).
tcf(c_286173,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286165,c_282221]) ).
tcf(c_286204,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_273000,c_282029]) ).
tcf(c_286205,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_273000,c_105]) ).
tcf(c_286206,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_286204,c_282221]) ).
tcf(c_286222,plain,
( iPr_def_13
| ( iPr_def_14 = iPr_def_28 ) ),
inference(global_subsumption_just,[status(thm)],[c_281112,c_255420]) ).
tcf(c_286232,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(global_subsumption_just,[status(thm)],[c_281120,c_255197]) ).
tcf(c_286238,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_286232,c_273275]) ).
tcf(c_286239,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_26,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_286232,c_273230]) ).
tcf(c_286240,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_286232,c_272977]) ).
tcf(c_286241,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286232,c_272773]) ).
tcf(c_286242,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286232,c_272772]) ).
tcf(c_286243,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286232,c_272670]) ).
tcf(c_286244,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286232,c_272669]) ).
tcf(c_286245,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286232,c_270859]) ).
tcf(c_286246,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286232,c_270858]) ).
tcf(c_286249,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286232,c_270669]) ).
tcf(c_286250,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286232,c_270668]) ).
tcf(c_286255,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_286232,c_272975]) ).
tcf(c_286402,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_21),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284661,c_282029]) ).
tcf(c_286403,plain,
! [X0: $i,X1: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_21,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_284661,c_105]) ).
tcf(c_286404,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_21) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_284661,c_644]) ).
tcf(c_286405,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_21) )
| ( inverse(inverse(iPr_def_21)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284661,c_642]) ).
tcf(c_286406,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284661,c_645]) ).
tcf(c_286407,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_284661,c_273191]) ).
tcf(c_286408,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284661,c_272820]) ).
tcf(c_286409,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_16 )
| ( sk_c9 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284661,c_272331]) ).
tcf(c_286460,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_21),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_284897,c_282029]) ).
tcf(c_286461,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_21,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_284897,c_105]) ).
tcf(c_286463,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_21) )
| ( inverse(inverse(iPr_def_21)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_284897,c_642]) ).
tcf(c_286464,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_21) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284897,c_645]) ).
tcf(c_286465,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_284897,c_273191]) ).
tcf(c_286466,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284897,c_272820]) ).
tcf(c_286467,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c9 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_284897,c_272331]) ).
tcf(c_286536,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272449,c_285035]) ).
tcf(c_286538,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_272318,c_285035]) ).
tcf(c_286541,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_285035,c_282029]) ).
tcf(c_286543,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_285035,c_271024]) ).
tcf(c_286558,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_272449,c_285036]) ).
tcf(c_286560,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_26) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_272318,c_285036]) ).
tcf(c_286563,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_285036,c_282029]) ).
tcf(c_286565,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_285036,c_271029]) ).
tcf(c_286582,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_18)),multiply(sk_c7,X0)) = X0,
inference(superposition,[status(thm)],[c_282220,c_282029]) ).
tcf(c_286583,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_18),multiply(X0,X1)) = multiply(multiply(sk_c7,X0),X1),
inference(superposition,[status(thm)],[c_282220,c_105]) ).
tcf(c_286584,plain,
multiply(sk_c7,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_282220,c_104]) ).
tcf(c_286585,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c10 )
| ( multiply(sk_c7,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_282220,c_644]) ).
tcf(c_286586,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_18))) != inverse(X0) )
| ( multiply(sk_c7,inverse(X0)) != inverse(inverse(iPr_def_18)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282220,c_642]) ).
tcf(c_286587,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_18)) != sk_c9 )
| ( multiply(sk_c7,sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282220,c_645]) ).
tcf(c_286588,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_282220,c_282029]) ).
tcf(c_286589,plain,
multiply(sk_c7,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_282220,c_283221]) ).
tcf(c_286615,plain,
multiply(inverse(sk_c7),identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_286584,c_282029]) ).
tcf(c_286616,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_286584,c_105]) ).
tcf(c_286617,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_286584,c_271026]) ).
tcf(c_286620,plain,
inverse(iPr_def_18) = sk_c7,
inference(demodulation,[status(thm)],[c_286589,c_283221]) ).
tcf(c_286622,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_270470,c_286620]) ).
tcf(c_286623,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_270079,c_286620]) ).
tcf(c_286624,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_269805,c_286620]) ).
tcf(c_286625,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_269586,c_286620]) ).
tcf(c_286626,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c9 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_269534,c_286620]) ).
tcf(c_286639,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_18) )
| ( multiply(X0,sk_c7) != inverse(X0) )
| ( multiply(iPr_def_18,inverse(iPr_def_18)) != sk_c11 )
| ( multiply(inverse(iPr_def_18),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_286620,c_642]) ).
tcf(c_286640,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c7,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c7 )
| ( multiply(X0,sk_c7) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_286639,c_269685,c_286620]) ).
tcf(c_286647,plain,
multiply(sk_c7,sk_c8) = iPr_def_15,
inference(superposition,[status(thm)],[c_273050,c_286588]) ).
tcf(c_286650,plain,
! [X0: $i] : multiply(inverse(sk_c7),X0) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_286588,c_282029]) ).
tcf(c_286651,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_286588,c_105]) ).
tcf(c_286659,plain,
( ( iPr_def_14 = iPr_def_28 )
| ( iPr_def_14 = iPr_def_25 ) ),
inference(global_subsumption_just,[status(thm)],[c_281691,c_1569,c_15546,c_21237,c_197849,c_220154]) ).
tcf(c_286665,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_286659,c_273275]) ).
tcf(c_286666,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_26,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_286659,c_273230]) ).
tcf(c_286667,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_27,multiply(iPr_def_14,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_286659,c_272977]) ).
tcf(c_286668,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286659,c_272773]) ).
tcf(c_286669,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286659,c_272772]) ).
tcf(c_286670,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286659,c_272670]) ).
tcf(c_286671,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286659,c_272669]) ).
tcf(c_286672,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286659,c_270859]) ).
tcf(c_286673,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286659,c_270858]) ).
tcf(c_286676,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_14) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_286659,c_270669]) ).
tcf(c_286677,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_286659,c_270668]) ).
tcf(c_286682,plain,
( ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_27,iPr_def_14) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_286659,c_272975]) ).
tcf(c_286777,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_26) = multiply(iPr_def_26,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_269663,c_272968]) ).
tcf(c_286789,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_14),multiply(iPr_def_26,X0)) = multiply(sk_c2,X0) ) ),
inference(superposition,[status(thm)],[c_272968,c_282029]) ).
tcf(c_286790,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,multiply(multiply(sk_c2,X0),X1)) = multiply(multiply(iPr_def_26,X0),X1) ) ),
inference(superposition,[status(thm)],[c_272968,c_105]) ).
tcf(c_286839,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272449,c_285039]) ).
tcf(c_286841,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_26,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272318,c_285039]) ).
tcf(c_286868,plain,
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_27) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_285039,c_645]) ).
tcf(c_286883,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_285861,c_282029]) ).
tcf(c_286885,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_22,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_285861,c_271028]) ).
tcf(c_286912,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(sk_c8),iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_285862,c_282029]) ).
tcf(c_286914,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c7,iPr_def_19) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_285862,c_271008]) ).
tcf(c_286915,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c5,iPr_def_19) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_285862,c_271006]) ).
tcf(c_286917,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_21,sk_c10) = multiply(iPr_def_21,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_286915,c_279212]) ).
tcf(c_286920,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_15,iPr_def_14) ) ),
inference(light_normalisation,[status(thm)],[c_286914,c_279510]) ).
tcf(c_286936,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(sk_c1),iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_286010,c_282029]) ).
tcf(c_286938,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_27,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_286010,c_271024]) ).
tcf(c_286971,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_17,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_286622,c_279510]) ).
tcf(c_286973,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_270584]) ).
tcf(c_286974,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_270381]) ).
tcf(c_286975,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_270140]) ).
tcf(c_286976,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_270056]) ).
tcf(c_286977,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_269841]) ).
tcf(c_286978,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_269784]) ).
tcf(c_286981,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_269617]) ).
tcf(c_286982,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286622,c_269616]) ).
tcf(c_286983,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286622,c_271026]) ).
tcf(c_286984,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_18,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_286622,c_269685]) ).
tcf(c_286986,plain,
( ( sk_c10 = iPr_def_28 )
| ( inverse(iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_286622,c_630]) ).
tcf(c_287024,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_17,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_286623,c_279510]) ).
tcf(c_287028,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286623,c_270140]) ).
tcf(c_287029,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286623,c_270056]) ).
tcf(c_287034,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286623,c_269617]) ).
tcf(c_287035,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286623,c_269616]) ).
tcf(c_287036,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286623,c_271026]) ).
tcf(c_287037,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_18,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_286623,c_269685]) ).
tcf(c_287039,plain,
( ( sk_c11 = iPr_def_27 )
| ( inverse(iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_286623,c_630]) ).
tcf(c_287085,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_17,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_286624,c_279510]) ).
tcf(c_287091,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286624,c_269841]) ).
tcf(c_287092,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286624,c_269784]) ).
tcf(c_287095,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286624,c_269617]) ).
tcf(c_287096,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286624,c_269616]) ).
tcf(c_287097,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286624,c_271026]) ).
tcf(c_287098,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_18,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_286624,c_269685]) ).
tcf(c_287100,plain,
( ( sk_c10 = iPr_def_14 )
| ( inverse(iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_286624,c_630]) ).
tcf(c_287277,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(inverse(iPr_def_26),multiply(iPr_def_14,iPr_def_26)) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272972,c_282029]) ).
tcf(c_287278,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(multiply(iPr_def_14,iPr_def_26),X0) = multiply(iPr_def_26,multiply(sk_c9,X0)) ) ),
inference(superposition,[status(thm)],[c_272972,c_105]) ).
tcf(c_287285,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_14,iPr_def_26) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_272972,c_269596]) ).
tcf(c_287286,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_16,multiply(iPr_def_14,iPr_def_26)) = multiply(sk_c9,sk_c9) ) ),
inference(superposition,[status(thm)],[c_272972,c_272971]) ).
tcf(c_287302,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_286986,c_642]) ).
tcf(c_287315,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_287039,c_642]) ).
tcf(c_287328,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_287100,c_642]) ).
tcf(c_287339,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(sk_c3),iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_286011,c_282029]) ).
tcf(c_287341,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_24,iPr_def_25) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_286011,c_271029]) ).
tcf(c_287357,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_17,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_286625,c_279510]) ).
tcf(c_287367,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286625,c_269617]) ).
tcf(c_287368,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286625,c_269616]) ).
tcf(c_287369,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286625,c_271026]) ).
tcf(c_287370,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_18,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_286625,c_269685]) ).
tcf(c_287372,plain,
( ( sk_c11 = iPr_def_26 )
| ( inverse(iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_286625,c_630]) ).
tcf(c_287410,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_15,sk_c10) = multiply(iPr_def_17,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_286626,c_279510]) ).
tcf(c_287418,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_17) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286626,c_269619]) ).
tcf(c_287419,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_286626,c_269618]) ).
tcf(c_287422,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_18,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_286626,c_271026]) ).
tcf(c_287423,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_286626,c_269685]) ).
tcf(c_287425,plain,
( ( sk_c9 = iPr_def_16 )
| ( inverse(iPr_def_17) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_286626,c_630]) ).
tcf(c_287444,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_17)),multiply(sk_c6,X0)) = X0,
inference(superposition,[status(thm)],[c_282221,c_282029]) ).
tcf(c_287445,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_17),multiply(X0,X1)) = multiply(multiply(sk_c6,X0),X1),
inference(superposition,[status(thm)],[c_282221,c_105]) ).
tcf(c_287446,plain,
multiply(sk_c6,iPr_def_17) = identity,
inference(superposition,[status(thm)],[c_282221,c_104]) ).
tcf(c_287447,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_17)) != sk_c10 )
| ( multiply(sk_c6,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_282221,c_644]) ).
tcf(c_287448,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_17))) != inverse(X0) )
| ( multiply(sk_c6,inverse(X0)) != inverse(inverse(iPr_def_17)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282221,c_642]) ).
tcf(c_287449,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_17)) != sk_c9 )
| ( multiply(sk_c6,sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282221,c_645]) ).
tcf(c_287450,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_282221,c_282029]) ).
tcf(c_287451,plain,
multiply(sk_c6,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_282221,c_283221]) ).
tcf(c_287575,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_687,c_287446]) ).
tcf(c_287577,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_677,c_287446]) ).
tcf(c_287579,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_667,c_287446]) ).
tcf(c_287581,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_657,c_287446]) ).
tcf(c_287583,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_15,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_647,c_287446]) ).
tcf(c_287584,plain,
multiply(inverse(sk_c6),identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_287446,c_282029]) ).
tcf(c_287585,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_17,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_287446,c_105]) ).
tcf(c_287586,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(superposition,[status(thm)],[c_287446,c_271025]) ).
tcf(c_287603,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287575,c_282029]) ).
tcf(c_287604,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_287575,c_105]) ).
tcf(c_287605,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287575,c_273000]) ).
tcf(c_287606,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287575,c_272998]) ).
tcf(c_287607,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287575,c_272996]) ).
tcf(c_287608,plain,
( ( sk_c10 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287575,c_272994]) ).
tcf(c_287609,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287575,c_272992]) ).
tcf(c_287610,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_287575,c_273056]) ).
tcf(c_287615,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287604,c_103]) ).
tcf(c_287645,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287577,c_282029]) ).
tcf(c_287646,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_287577,c_105]) ).
tcf(c_287647,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287577,c_273000]) ).
tcf(c_287648,plain,
( ( sk_c11 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287577,c_272998]) ).
tcf(c_287649,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287577,c_272996]) ).
tcf(c_287650,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287577,c_272994]) ).
tcf(c_287652,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_287577,c_273056]) ).
tcf(c_287657,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287646,c_103]) ).
tcf(c_287718,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287579,c_282029]) ).
tcf(c_287719,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_287579,c_105]) ).
tcf(c_287720,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287579,c_273000]) ).
tcf(c_287721,plain,
( ( sk_c10 = iPr_def_14 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287579,c_272998]) ).
tcf(c_287722,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287579,c_272996]) ).
tcf(c_287725,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_287579,c_273056]) ).
tcf(c_287730,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287719,c_103]) ).
tcf(c_287737,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287581,c_282029]) ).
tcf(c_287738,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_287581,c_105]) ).
tcf(c_287739,plain,
( ( sk_c9 = iPr_def_16 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287581,c_273000]) ).
tcf(c_287740,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287581,c_272998]) ).
tcf(c_287744,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_287581,c_273056]) ).
tcf(c_287749,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287738,c_103]) ).
tcf(c_287793,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(inverse(iPr_def_15),identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287583,c_282029]) ).
tcf(c_287794,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_287583,c_105]) ).
tcf(c_287795,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_17,identity) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_287583,c_273000]) ).
tcf(c_287800,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_18,identity) ) ),
inference(superposition,[status(thm)],[c_287583,c_273056]) ).
tcf(c_287805,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(iPr_def_17,X0)) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_287794,c_103]) ).
tcf(c_287814,plain,
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_26) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_284890,c_271477]) ).
tcf(c_287882,plain,
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_284602,c_271325]) ).
tcf(c_287884,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_22)) != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_281050,c_271325]) ).
tcf(c_287899,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270579,c_271325]) ).
tcf(c_287900,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_270466,c_271325]) ).
tcf(c_287901,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269998,c_271325]) ).
tcf(c_287902,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269838,c_271325]) ).
tcf(c_287903,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_269803,c_271325]) ).
tcf(c_287904,plain,
( ( sk_c10 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_696,c_271325]) ).
tcf(c_287905,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_695,c_271325]) ).
tcf(c_287906,plain,
( ( sk_c10 = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_693,c_271325]) ).
tcf(c_287907,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_692,c_271325]) ).
tcf(c_287908,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_28)) != iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_690,c_271325]) ).
tcf(c_287912,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_675,c_271325]) ).
tcf(c_287914,plain,
( ( sk_c11 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_672,c_271325]) ).
tcf(c_287915,plain,
( ( sk_c11 = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c9 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_670,c_271325]) ).
tcf(c_287970,plain,
( ( iPr_def_14 = iPr_def_28 )
| ~ iPr_def_12
| ( sk_c9 != identity ) ),
inference(ground_joinability,[status(thm)],[c_287884,c_634,c_284065]) ).
tcf(c_288047,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269491,c_271480]) ).
tcf(c_288048,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_16)) != iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_269479,c_271480]) ).
tcf(c_288049,plain,
( ( sk_c10 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_694,c_271480]) ).
tcf(c_288050,plain,
( ( sk_c11 = iPr_def_27 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_684,c_271480]) ).
tcf(c_288051,plain,
( ( sk_c10 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_674,c_271480]) ).
tcf(c_288052,plain,
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_664,c_271480]) ).
tcf(c_288055,plain,
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c11 != identity )
| ( inverse(inverse(iPr_def_23)) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_654,c_271480]) ).
tcf(c_288093,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_287372,c_642]) ).
tcf(c_288107,plain,
! [X0: $i] :
( ( sk_c9 = iPr_def_16 )
| ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,iPr_def_18) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_287425,c_642]) ).
tcf(c_288212,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c9,sk_c9) = multiply(iPr_def_16,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_286012,c_272971]) ).
tcf(c_288215,plain,
inverse(iPr_def_17) = sk_c6,
inference(demodulation,[status(thm)],[c_287451,c_283221]) ).
tcf(c_288216,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c9 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_287425,c_288215]) ).
tcf(c_288217,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c11 = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_287372,c_288215]) ).
tcf(c_288219,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c10 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_287100,c_288215]) ).
tcf(c_288220,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c11 = iPr_def_27 ) ),
inference(demodulation,[status(thm)],[c_287039,c_288215]) ).
tcf(c_288221,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c10 = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_286986,c_288215]) ).
tcf(c_288234,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_17) )
| ( multiply(X0,sk_c6) != inverse(X0) )
| ( multiply(iPr_def_17,inverse(iPr_def_17)) != sk_c11 )
| ( multiply(inverse(iPr_def_17),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_288215,c_642]) ).
tcf(c_288235,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c6,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c6 )
| ( multiply(X0,sk_c6) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_288234,c_269686,c_288215]) ).
tcf(c_288251,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270380,c_287450]) ).
tcf(c_288252,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_270055,c_287450]) ).
tcf(c_288253,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269783,c_287450]) ).
tcf(c_288254,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c6,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269631,c_287450]) ).
tcf(c_288255,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_19) = sk_c10 ) ),
inference(superposition,[status(thm)],[c_269629,c_287450]) ).
tcf(c_288256,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_269686,c_287450]) ).
tcf(c_288257,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270465,c_287450]) ).
tcf(c_288258,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c6,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270421,c_287450]) ).
tcf(c_288259,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270419,c_287450]) ).
tcf(c_288260,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270417,c_287450]) ).
tcf(c_288261,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_270415,c_287450]) ).
tcf(c_288262,plain,
( ( sk_c9 = iPr_def_16 )
| ( multiply(sk_c6,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270422,c_287450]) ).
tcf(c_288263,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270420,c_287450]) ).
tcf(c_288264,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270418,c_287450]) ).
tcf(c_288265,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270416,c_287450]) ).
tcf(c_288266,plain,
( ( sk_c10 = iPr_def_28 )
| ( multiply(sk_c6,identity) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_270414,c_287450]) ).
tcf(c_288277,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_276148,c_287450]) ).
tcf(c_288278,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_275470,c_287450]) ).
tcf(c_288279,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_30796,c_287450]) ).
tcf(c_288280,plain,
( ( sk_c11 = iPr_def_27 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_276149,c_287450]) ).
tcf(c_288281,plain,
( ( sk_c10 = iPr_def_14 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_275472,c_287450]) ).
tcf(c_288282,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,iPr_def_19) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_30797,c_287450]) ).
tcf(c_288284,plain,
! [X0: $i] : multiply(inverse(sk_c6),X0) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_287450,c_282029]) ).
tcf(c_288285,plain,
! [X0: $i,X1: $i] : multiply(sk_c6,multiply(multiply(iPr_def_17,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_287450,c_105]) ).
tcf(c_288482,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_278622,c_279900]) ).
tcf(c_288543,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_285977,c_282222]) ).
tcf(c_288544,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_272619,c_282222]) ).
tcf(c_288545,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_272449,c_282222]) ).
tcf(c_288546,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_272447,c_282222]) ).
tcf(c_288547,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_272318,c_282222]) ).
tcf(c_288548,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_272243,c_282222]) ).
tcf(c_288549,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(iPr_def_26),X0) = multiply(sk_c1,X0) ) ),
inference(superposition,[status(thm)],[c_272103,c_282222]) ).
tcf(c_288550,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_27)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_282222,c_282029]) ).
tcf(c_288551,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_27),multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_282222,c_105]) ).
tcf(c_288552,plain,
multiply(sk_c1,iPr_def_27) = identity,
inference(superposition,[status(thm)],[c_282222,c_104]) ).
tcf(c_288553,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_27)) != sk_c10 )
| ( multiply(sk_c1,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_282222,c_644]) ).
tcf(c_288554,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_27))) != inverse(X0) )
| ( multiply(sk_c1,inverse(X0)) != inverse(inverse(iPr_def_27)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282222,c_642]) ).
tcf(c_288555,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_27)) != sk_c9 )
| ( multiply(sk_c1,sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282222,c_645]) ).
tcf(c_288556,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_27,X0)) = X0,
inference(superposition,[status(thm)],[c_282222,c_282029]) ).
tcf(c_288557,plain,
multiply(sk_c1,identity) = inverse(iPr_def_27),
inference(superposition,[status(thm)],[c_282222,c_283221]) ).
tcf(c_288583,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_285035,c_288552]) ).
tcf(c_288584,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_272623,c_288552]) ).
tcf(c_288585,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_272246,c_288552]) ).
tcf(c_288586,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_28 ) ),
inference(demodulation,[status(thm)],[c_272105,c_288552]) ).
tcf(c_288587,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_270281,c_288552]) ).
tcf(c_288588,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_270170,c_288552]) ).
tcf(c_288589,plain,
( ( identity = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_270101,c_288552]) ).
tcf(c_288612,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_27 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283746,c_273188]) ).
tcf(c_288613,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,X0) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_283733,c_273188]) ).
tcf(c_288614,plain,
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,iPr_def_25) = multiply(iPr_def_19,identity) ) ),
inference(superposition,[status(thm)],[c_283221,c_273188]) ).
tcf(c_288615,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(inverse(iPr_def_17),multiply(iPr_def_19,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_273188,c_282029]) ).
tcf(c_288616,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_17,multiply(multiply(iPr_def_25,X0),X1)) = multiply(multiply(iPr_def_19,X0),X1) ) ),
inference(superposition,[status(thm)],[c_273188,c_105]) ).
tcf(c_288617,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_26 )
| ( multiply(sk_c6,multiply(iPr_def_19,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_273188,c_287450]) ).
tcf(c_288643,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_285977,c_288552]) ).
tcf(c_288644,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_272619,c_288552]) ).
tcf(c_288645,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_272449,c_288552]) ).
tcf(c_288646,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_272447,c_288552]) ).
tcf(c_288647,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_272318,c_288552]) ).
tcf(c_288648,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_272243,c_288552]) ).
tcf(c_288649,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_26) = identity ) ),
inference(superposition,[status(thm)],[c_272103,c_288552]) ).
tcf(c_288650,plain,
multiply(inverse(sk_c1),identity) = iPr_def_27,
inference(superposition,[status(thm)],[c_288552,c_282029]) ).
tcf(c_288651,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_27,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_288552,c_105]) ).
tcf(c_288652,plain,
multiply(iPr_def_27,identity) = iPr_def_27,
inference(superposition,[status(thm)],[c_288552,c_271024]) ).
tcf(c_288696,plain,
( ( iPr_def_21 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_288583,c_284408]) ).
tcf(c_288699,plain,
( ( iPr_def_21 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288583,c_284405]) ).
tcf(c_288703,plain,
( ( iPr_def_23 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288583,c_283894]) ).
tcf(c_288704,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_288583,c_283674]) ).
tcf(c_288705,plain,
( ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288583,c_283673]) ).
tcf(c_288706,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_288583,c_283221]) ).
tcf(c_288707,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288583,c_103]) ).
tcf(c_288708,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288583,c_60797]) ).
tcf(c_288820,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_288584,c_284409]) ).
tcf(c_288821,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_288584,c_284408]) ).
tcf(c_288822,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_288584,c_284407]) ).
tcf(c_288823,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_288584,c_284406]) ).
tcf(c_288824,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288584,c_284405]) ).
tcf(c_288829,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_288584,c_283674]) ).
tcf(c_288831,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_288584,c_283221]) ).
tcf(c_288832,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288584,c_103]) ).
tcf(c_288833,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288584,c_60797]) ).
tcf(c_288948,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_288585,c_283674]) ).
tcf(c_288950,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_288585,c_283221]) ).
tcf(c_288951,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288585,c_103]) ).
tcf(c_288952,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288585,c_60797]) ).
tcf(c_288962,plain,
inverse(iPr_def_27) = sk_c1,
inference(demodulation,[status(thm)],[c_288557,c_283221]) ).
tcf(c_288964,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_285977,c_288962]) ).
tcf(c_288965,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_272619,c_288962]) ).
tcf(c_288966,plain,
( ( iPr_def_19 = iPr_def_24 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_272449,c_288962]) ).
tcf(c_288967,plain,
( ( iPr_def_21 = iPr_def_24 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_272447,c_288962]) ).
tcf(c_288968,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_272318,c_288962]) ).
tcf(c_288969,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_272243,c_288962]) ).
tcf(c_288970,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_26) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_272103,c_288962]) ).
tcf(c_288973,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_27) )
| ( multiply(X0,sk_c1) != inverse(X0) )
| ( multiply(iPr_def_27,inverse(iPr_def_27)) != sk_c11 )
| ( multiply(inverse(iPr_def_27),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_288962,c_642]) ).
tcf(c_288988,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c1,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c1 )
| ( multiply(X0,sk_c1) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_288973,c_269687,c_288962]) ).
tcf(c_288994,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_269687,c_288556]) ).
tcf(c_288995,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c1,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_285039,c_288556]) ).
tcf(c_288996,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272627,c_288556]) ).
tcf(c_288997,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272250,c_288556]) ).
tcf(c_288998,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_272109,c_288556]) ).
tcf(c_288999,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270285,c_288556]) ).
tcf(c_289000,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270174,c_288556]) ).
tcf(c_289001,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_270105,c_288556]) ).
tcf(c_289002,plain,
multiply(sk_c1,sk_c11) = iPr_def_28,
inference(superposition,[status(thm)],[c_272975,c_288556]) ).
tcf(c_289004,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273669,c_288556]) ).
tcf(c_289005,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273642,c_288556]) ).
tcf(c_289006,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_273596,c_288556]) ).
tcf(c_289008,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_285977,c_288556]) ).
tcf(c_289009,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272619,c_288556]) ).
tcf(c_289010,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272449,c_288556]) ).
tcf(c_289011,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272447,c_288556]) ).
tcf(c_289012,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272318,c_288556]) ).
tcf(c_289013,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272243,c_288556]) ).
tcf(c_289014,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c1,multiply(iPr_def_26,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_272103,c_288556]) ).
tcf(c_289015,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_27,X0),
inference(superposition,[status(thm)],[c_288556,c_282029]) ).
tcf(c_289016,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_27,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_288556,c_105]) ).
tcf(c_289018,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_289006,c_278130]) ).
tcf(c_289021,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_289005,c_278130]) ).
tcf(c_289024,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c9) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_289004,c_278130]) ).
tcf(c_289027,plain,
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_289001,c_278130]) ).
tcf(c_289030,plain,
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_289000,c_278130]) ).
tcf(c_289033,plain,
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_288999,c_278130]) ).
tcf(c_289036,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_288998,c_278130]) ).
tcf(c_289039,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_288997,c_278130]) ).
tcf(c_289042,plain,
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_288996,c_278130]) ).
tcf(c_289045,plain,
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_28,sk_c9) = sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_288995,c_278130]) ).
tcf(c_289222,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_288586,c_283674]) ).
tcf(c_289224,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_288586,c_283221]) ).
tcf(c_289225,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288586,c_103]) ).
tcf(c_289226,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288586,c_60797]) ).
tcf(c_289261,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271180,c_273231]) ).
tcf(c_289262,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269739,c_273231]) ).
tcf(c_289263,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269677,c_273231]) ).
tcf(c_289264,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269676,c_273231]) ).
tcf(c_289265,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_288552,c_273231]) ).
tcf(c_289273,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_288556,c_273231]) ).
tcf(c_289274,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_278130,c_273231]) ).
tcf(c_289277,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_273231,c_105]) ).
tcf(c_289278,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c9,multiply(sk_c1,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_273231,c_272971]) ).
tcf(c_289366,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_288587,c_283674]) ).
tcf(c_289368,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_288587,c_283221]) ).
tcf(c_289369,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288587,c_103]) ).
tcf(c_289370,plain,
( ( sk_c11 = iPr_def_24 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288587,c_60797]) ).
tcf(c_289472,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_288588,c_283674]) ).
tcf(c_289474,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_288588,c_283221]) ).
tcf(c_289475,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288588,c_103]) ).
tcf(c_289476,plain,
( ( sk_c11 = iPr_def_21 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288588,c_60797]) ).
tcf(c_289512,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_288589,c_283674]) ).
tcf(c_289514,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(X0,iPr_def_28) = X0 ) ),
inference(superposition,[status(thm)],[c_288589,c_283221]) ).
tcf(c_289515,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_28,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288589,c_103]) ).
tcf(c_289516,plain,
( ( sk_c11 = iPr_def_19 )
| ( inverse(iPr_def_28) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_288589,c_60797]) ).
tcf(c_289533,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286659,c_288707]) ).
tcf(c_289534,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286232,c_288707]) ).
tcf(c_289535,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283973,c_288707]) ).
tcf(c_289536,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_281654,c_288707]) ).
tcf(c_289537,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272856,c_288707]) ).
tcf(c_289538,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272855,c_288707]) ).
tcf(c_289539,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272803,c_288707]) ).
tcf(c_289540,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272759,c_288707]) ).
tcf(c_289541,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272657,c_288707]) ).
tcf(c_289542,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288707,c_282029]) ).
tcf(c_289543,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_288707,c_105]) ).
tcf(c_289544,plain,
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_288707,c_644]) ).
tcf(c_289545,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_288707,c_642]) ).
tcf(c_289546,plain,
( ( iPr_def_21 = iPr_def_23 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_288707,c_645]) ).
tcf(c_289547,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_23 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_288707,c_272977]) ).
tcf(c_289673,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_16)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_282223,c_282029]) ).
tcf(c_289674,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_16),multiply(X0,X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_282223,c_105]) ).
tcf(c_289675,plain,
multiply(sk_c2,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_282223,c_104]) ).
tcf(c_289676,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_16)) != sk_c10 )
| ( multiply(sk_c2,sk_c10) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_282223,c_644]) ).
tcf(c_289677,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(inverse(iPr_def_16))) != inverse(X0) )
| ( multiply(sk_c2,inverse(X0)) != inverse(inverse(iPr_def_16)) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282223,c_642]) ).
tcf(c_289678,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_16)) != sk_c9 )
| ( multiply(sk_c2,sk_c9) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_282223,c_645]) ).
tcf(c_289679,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_282223,c_282029]) ).
tcf(c_289680,plain,
multiply(sk_c2,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_282223,c_283221]) ).
tcf(c_289681,plain,
( ~ iPr_def_11
| ( sk_c11 != iPr_def_26 )
| ( inverse(inverse(iPr_def_16)) != sk_c9 ) ),
inference(light_normalisation,[status(thm)],[c_289678,c_638]) ).
tcf(c_289693,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_271148,c_289675]) ).
tcf(c_289694,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( identity = iPr_def_26 ) ),
inference(demodulation,[status(thm)],[c_271128,c_289675]) ).
tcf(c_289695,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_269663,c_289675]) ).
tcf(c_289696,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_269662,c_289675]) ).
tcf(c_289697,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_269661,c_289675]) ).
tcf(c_289698,plain,
( ( identity = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(demodulation,[status(thm)],[c_269659,c_289675]) ).
tcf(c_289699,plain,
( ( identity = iPr_def_26 )
| ( sk_c10 = iPr_def_25 ) ),
inference(demodulation,[status(thm)],[c_269658,c_289675]) ).
tcf(c_289898,plain,
multiply(inverse(sk_c2),identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_289675,c_282029]) ).
tcf(c_289899,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_16,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_289675,c_105]) ).
tcf(c_289901,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(superposition,[status(thm)],[c_289675,c_271023]) ).
tcf(c_289916,plain,
inverse(iPr_def_16) = sk_c2,
inference(demodulation,[status(thm)],[c_289680,c_283221]) ).
tcf(c_289920,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(inverse(X0)) != inverse(iPr_def_16) )
| ( multiply(X0,sk_c2) != inverse(X0) )
| ( multiply(iPr_def_16,inverse(iPr_def_16)) != sk_c11 )
| ( multiply(inverse(iPr_def_16),sk_c10) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_289916,c_642]) ).
tcf(c_289921,plain,
! [X0: $i] :
( ~ iPr_def_13
| ( sk_c11 != identity )
| ( multiply(sk_c2,sk_c10) != sk_c11 )
| ( inverse(inverse(X0)) != sk_c2 )
| ( multiply(X0,sk_c2) != inverse(X0) ) ),
inference(light_normalisation,[status(thm)],[c_289920,c_269688,c_289916]) ).
tcf(c_289939,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_269688,c_289679]) ).
tcf(c_289940,plain,
multiply(sk_c2,sk_c9) = iPr_def_26,
inference(superposition,[status(thm)],[c_272966,c_289679]) ).
tcf(c_289943,plain,
! [X0: $i] : multiply(inverse(sk_c2),X0) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_289679,c_282029]) ).
tcf(c_289944,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_16,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_289679,c_105]) ).
tcf(c_289983,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_271236,c_273276]) ).
tcf(c_289985,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269739,c_273276]) ).
tcf(c_289986,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269677,c_273276]) ).
tcf(c_289987,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,iPr_def_28) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_269676,c_273276]) ).
tcf(c_289988,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,identity) = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_288552,c_273276]) ).
tcf(c_289996,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_288556,c_273276]) ).
tcf(c_289997,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(iPr_def_28,sk_c9)) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_278130,c_273276]) ).
tcf(c_290000,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_273276,c_105]) ).
tcf(c_290001,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c9,multiply(sk_c1,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_273276,c_272971]) ).
tcf(c_290162,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_289693,c_288585]) ).
tcf(c_290163,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_289693,c_288584]) ).
tcf(c_290164,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_289693,c_288583]) ).
tcf(c_290174,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_289693,c_283674]) ).
tcf(c_290176,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_289693,c_283221]) ).
tcf(c_290177,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289693,c_103]) ).
tcf(c_290178,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_289693,c_60797]) ).
tcf(c_290254,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_289694,c_288586]) ).
tcf(c_290256,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_289694,c_288584]) ).
tcf(c_290257,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_289694,c_288583]) ).
tcf(c_290267,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_289694,c_283674]) ).
tcf(c_290269,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_289694,c_283221]) ).
tcf(c_290270,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289694,c_103]) ).
tcf(c_290271,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_289694,c_60797]) ).
tcf(c_290335,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289695,c_288589]) ).
tcf(c_290336,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289695,c_288588]) ).
tcf(c_290337,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289695,c_288587]) ).
tcf(c_290340,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289695,c_288584]) ).
tcf(c_290341,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289695,c_288583]) ).
tcf(c_290351,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289695,c_283674]) ).
tcf(c_290353,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_289695,c_283221]) ).
tcf(c_290354,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_19 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289695,c_103]) ).
tcf(c_290355,plain,
( ( sk_c11 = iPr_def_19 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_289695,c_60797]) ).
tcf(c_290485,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_289696,c_288588]) ).
tcf(c_290486,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_289696,c_288587]) ).
tcf(c_290489,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_289696,c_288584]) ).
tcf(c_290490,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_289696,c_288583]) ).
tcf(c_290500,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_289696,c_283674]) ).
tcf(c_290502,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_289696,c_283221]) ).
tcf(c_290503,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_21 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289696,c_103]) ).
tcf(c_290504,plain,
( ( sk_c11 = iPr_def_21 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_289696,c_60797]) ).
tcf(c_290600,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289697,c_288589]) ).
tcf(c_290601,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_289697,c_288588]) ).
tcf(c_290602,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_289697,c_288587]) ).
tcf(c_290605,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_289697,c_288584]) ).
tcf(c_290606,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_289697,c_288583]) ).
tcf(c_290616,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_289697,c_283674]) ).
tcf(c_290618,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_289697,c_283221]) ).
tcf(c_290619,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289697,c_103]) ).
tcf(c_290620,plain,
( ( sk_c10 = iPr_def_22 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_289697,c_60797]) ).
tcf(c_290671,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_289698,c_288587]) ).
tcf(c_290674,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_289698,c_288584]) ).
tcf(c_290675,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_289698,c_288583]) ).
tcf(c_290685,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_289698,c_283674]) ).
tcf(c_290687,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_289698,c_283221]) ).
tcf(c_290688,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289698,c_103]) ).
tcf(c_290689,plain,
( ( sk_c11 = iPr_def_24 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_289698,c_60797]) ).
tcf(c_290832,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_289699,c_288589]) ).
tcf(c_290833,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_289699,c_288588]) ).
tcf(c_290834,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_289699,c_288587]) ).
tcf(c_290837,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_289699,c_288584]) ).
tcf(c_290838,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_289699,c_288583]) ).
tcf(c_290848,plain,
( ( iPr_def_26 = iPr_def_27 )
| ( iPr_def_25 = iPr_def_26 )
| ( sk_c10 = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_289699,c_283674]) ).
tcf(c_290850,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(X0,iPr_def_26) = X0 ) ),
inference(superposition,[status(thm)],[c_289699,c_283221]) ).
tcf(c_290851,plain,
! [X0: $i] :
( ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_26,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289699,c_103]) ).
tcf(c_290852,plain,
( ( sk_c10 = iPr_def_25 )
| ( inverse(iPr_def_26) = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_289699,c_60797]) ).
tcf(c_291007,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(iPr_def_26),identity) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_273277,c_282029]) ).
tcf(c_291008,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,multiply(sk_c1,X0)) = multiply(identity,X0) ) ),
inference(superposition,[status(thm)],[c_273277,c_105]) ).
tcf(c_291009,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c9,sk_c1) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_273277,c_272971]) ).
tcf(c_291094,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286659,c_288832]) ).
tcf(c_291095,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286232,c_288832]) ).
tcf(c_291097,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_281654,c_288832]) ).
tcf(c_291098,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272856,c_288832]) ).
tcf(c_291099,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_21 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272855,c_288832]) ).
tcf(c_291100,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272803,c_288832]) ).
tcf(c_291101,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272759,c_288832]) ).
tcf(c_291102,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272657,c_288832]) ).
tcf(c_291103,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288832,c_282029]) ).
tcf(c_291104,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_288832,c_105]) ).
tcf(c_291105,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_288832,c_644]) ).
tcf(c_291106,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_288832,c_642]) ).
tcf(c_291107,plain,
( ( iPr_def_22 = iPr_def_25 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_288832,c_645]) ).
tcf(c_291108,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_288832,c_272977]) ).
tcf(c_291392,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286659,c_288951]) ).
tcf(c_291393,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286232,c_288951]) ).
tcf(c_291399,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272759,c_288951]) ).
tcf(c_291400,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272657,c_288951]) ).
tcf(c_291401,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_288951,c_282029]) ).
tcf(c_291402,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_288951,c_105]) ).
tcf(c_291403,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_288951,c_644]) ).
tcf(c_291404,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_288951,c_642]) ).
tcf(c_291405,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_288951,c_645]) ).
tcf(c_291406,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_288951,c_272977]) ).
tcf(c_291630,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_25 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286659,c_289225]) ).
tcf(c_291631,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286232,c_289225]) ).
tcf(c_291638,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272657,c_289225]) ).
tcf(c_291639,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289225,c_282029]) ).
tcf(c_291640,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_289225,c_105]) ).
tcf(c_291641,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_289225,c_644]) ).
tcf(c_291642,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_289225,c_642]) ).
tcf(c_291643,plain,
( ( iPr_def_15 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c11 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_289225,c_645]) ).
tcf(c_291644,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_289225,c_272977]) ).
tcf(c_291691,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286659,c_289369]) ).
tcf(c_291692,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_286232,c_289369]) ).
tcf(c_291693,plain,
! [X0: $i] :
( ( iPr_def_23 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_283973,c_289369]) ).
tcf(c_291694,plain,
! [X0: $i] :
( ( iPr_def_22 = iPr_def_25 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_281654,c_289369]) ).
tcf(c_291695,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272856,c_289369]) ).
tcf(c_291696,plain,
! [X0: $i] :
( ( iPr_def_21 = iPr_def_24 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272855,c_289369]) ).
tcf(c_291697,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272803,c_289369]) ).
tcf(c_291698,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272759,c_289369]) ).
tcf(c_291699,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_14,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_272657,c_289369]) ).
tcf(c_291700,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(inverse(iPr_def_28),X0) = X0 ) ),
inference(superposition,[status(thm)],[c_289369,c_282029]) ).
tcf(c_291701,plain,
! [X0: $i,X1: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(iPr_def_28,multiply(X0,X1)) = multiply(X0,X1) ) ),
inference(superposition,[status(thm)],[c_289369,c_105]) ).
tcf(c_291702,plain,
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_12
| ( sk_c10 != sk_c9 )
| ( inverse(iPr_def_28) != sk_c10 ) ),
inference(superposition,[status(thm)],[c_289369,c_644]) ).
tcf(c_291703,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ~ iPr_def_13
| ( inverse(X0) != inverse(iPr_def_28) )
| ( inverse(inverse(iPr_def_28)) != inverse(X0) )
| ( multiply(inverse(X0),sk_c10) != sk_c11 )
| ( multiply(X0,inverse(X0)) != sk_c11 ) ),
inference(superposition,[status(thm)],[c_289369,c_642]) ).
tcf(c_291705,plain,
! [X0: $i] :
( ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c11,X0) = multiply(iPr_def_27,X0) ) ),
inference(superposition,[status(thm)],[c_289369,c_272977]) ).
tcf(c_291817,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_290162,c_273275]) ).
tcf(c_291818,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_290162,c_273230]) ).
tcf(c_291820,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_290162,c_272977]) ).
tcf(c_291821,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290162,c_272773]) ).
tcf(c_291822,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290162,c_272772]) ).
tcf(c_291823,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290162,c_272670]) ).
tcf(c_291824,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290162,c_272669]) ).
tcf(c_291825,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290162,c_270859]) ).
tcf(c_291826,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290162,c_270858]) ).
tcf(c_291827,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290162,c_270792]) ).
tcf(c_291828,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290162,c_270791]) ).
tcf(c_291829,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290162,c_270669]) ).
tcf(c_291830,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290162,c_270668]) ).
tcf(c_291831,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290162,c_270618]) ).
tcf(c_291832,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290162,c_270617]) ).
tcf(c_291833,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290162,c_270515]) ).
tcf(c_291834,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290162,c_270514]) ).
tcf(c_291838,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_290162,c_272759]) ).
tcf(c_291839,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_290162,c_272657]) ).
tcf(c_291840,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_27,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_290162,c_272975]) ).
tcf(c_292026,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_26,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_290254,c_273230]) ).
tcf(c_292028,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,multiply(iPr_def_26,X0)) = multiply(sk_c11,X0) ) ),
inference(superposition,[status(thm)],[c_290254,c_272977]) ).
tcf(c_292031,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290254,c_272670]) ).
tcf(c_292032,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290254,c_272669]) ).
tcf(c_292033,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290254,c_270859]) ).
tcf(c_292034,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290254,c_270858]) ).
tcf(c_292035,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290254,c_270792]) ).
tcf(c_292036,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290254,c_270791]) ).
tcf(c_292037,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290254,c_270669]) ).
tcf(c_292038,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290254,c_270668]) ).
tcf(c_292039,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290254,c_270618]) ).
tcf(c_292040,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290254,c_270617]) ).
tcf(c_292041,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_26) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290254,c_270515]) ).
tcf(c_292042,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( sk_c11 = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_26) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_290254,c_270514]) ).
tcf(c_292047,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_290254,c_272657]) ).
tcf(c_292048,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( multiply(iPr_def_27,iPr_def_26) = sk_c11 ) ),
inference(superposition,[status(thm)],[c_290254,c_272975]) ).
tcf(c_292240,plain,
( ( iPr_def_26 = iPr_def_28 )
| ~ iPr_def_11
| ( sk_c11 != iPr_def_14 )
| ( inverse(iPr_def_19) != sk_c9 ) ),
inference(superposition,[status(thm)],[c_290335,c_271477]) ).
tcf(c_292241,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_290335,c_284890]) ).
tcf(c_292242,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_21 = iPr_def_23 )
| ( iPr_def_19 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_290335,c_284543]) ).
tcf(c_292244,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(inverse(iPr_def_19),iPr_def_14) = sk_c9 ) ),
inference(superposition,[status(thm)],[c_290335,c_282054]) ).
tcf(c_292247,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(iPr_def_19,multiply(sk_c9,X0)) = multiply(iPr_def_14,X0) ) ),
inference(superposition,[status(thm)],[c_290335,c_271009]) ).
tcf(c_292249,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(sk_c3,multiply(iPr_def_19,X0)) = multiply(iPr_def_25,X0) ) ),
inference(superposition,[status(thm)],[c_290335,c_271004]) ).
tcf(c_292251,plain,
! [X0: $i] :
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(sk_c1,multiply(iPr_def_19,X0)) = multiply(iPr_def_28,X0) ) ),
inference(superposition,[status(thm)],[c_290335,c_271003]) ).
tcf(c_292252,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_28 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_270738]) ).
tcf(c_292254,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_27 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_270238]) ).
tcf(c_292256,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_14 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_269921]) ).
tcf(c_292259,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c11 = iPr_def_26 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_269712]) ).
tcf(c_292260,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_25 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_269557]) ).
tcf(c_292264,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c10 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_269523]) ).
tcf(c_292265,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( sk_c9 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_23) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_269522]) ).
tcf(c_292268,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_27 ) ),
inference(superposition,[status(thm)],[c_290335,c_270314]) ).
tcf(c_292271,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_27 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_290335,c_270136]) ).
tcf(c_292272,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_27 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_290335,c_270076]) ).
tcf(c_292273,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_22 = iPr_def_25 )
| ( iPr_def_19 = iPr_def_26 ) ),
inference(superposition,[status(thm)],[c_290335,c_269752]) ).
tcf(c_292274,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_26 )
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_290335,c_269605]) ).
tcf(c_292275,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_26 )
| ( iPr_def_15 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_290335,c_269585]) ).
tcf(c_292276,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_290335,c_685]) ).
tcf(c_292277,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_290335,c_682]) ).
tcf(c_292278,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_27 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290335,c_680]) ).
tcf(c_292279,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_26 )
| ( sk_c11 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_290335,c_665]) ).
tcf(c_292280,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(sk_c1,iPr_def_19) = iPr_def_28 ) ),
inference(superposition,[status(thm)],[c_290335,c_640]) ).
tcf(c_292281,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_25 ) ),
inference(superposition,[status(thm)],[c_290335,c_637]) ).
tcf(c_292282,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_26 )
| ( sk_c11 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_290335,c_662]) ).
tcf(c_292283,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( iPr_def_19 = iPr_def_26 )
| ( sk_c11 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_290335,c_660]) ).
tcf(c_292284,plain,
( ( iPr_def_26 = iPr_def_28 )
| ( multiply(iPr_def_19,sk_c9) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_290335,c_626]) ).
tcf(c_292434,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_292284,c_292265,c_292264,c_292260,c_292259,c_292256,c_292254,c_292252,c_292251,c_292249,c_292247,c_292244,c_292281,c_292240,c_292280,c_292275,c_292274,c_292273,c_292272,c_292271,c_292268,c_292282,c_292283,c_292279,c_292278,c_292277,c_292276,c_292242,c_292241,c_291703,c_291702,c_291701,c_291700,c_291699,c_291698,c_291697,c_291696,c_291695,c_291694,c_291693,c_291692,c_291691,c_291631,c_291630,c_291393,c_291392,c_291095,c_291094,c_290852,c_290851,c_290850,c_290848,c_290838,c_290837,c_290834,c_290833,c_290832,c_290689,c_290688,c_290687,c_290685,c_290675,c_290674,c_290620,c_290619,c_290618,c_290616,c_290606,c_290605,c_290602,c_290601,c_290600,c_290504,c_290503,c_290502,c_290500,c_290490,c_290489,c_290486,c_290485,c_290355,c_290354,c_290353,c_290351,c_290341,c_290340,c_290337,c_290336,c_290335,c_290257,c_290256,c_290164,c_290163,c_289547,c_289546,c_289545,c_289544,c_289543,c_289542,c_289541,c_289540,c_289539,c_289537,c_289535,c_289534,c_289533,c_289516,c_289515,c_289514,c_289476,c_289475,c_289474,c_289370,c_289369,c_289368,c_289045,c_288995,c_288824,c_288823,c_288822,c_288821,c_288820,c_288708,c_288707,c_288706,c_288705,c_288704,c_288703,c_288699,c_288696,c_288617,c_288613,c_288612,c_288583,c_288212,c_287882,c_287814,c_287341,c_287339,c_287286,c_287278,c_287277,c_286938,c_286936,c_286920,c_286917,c_286915,c_286914,c_286912,c_286885,c_286883,c_286868,c_286841,c_286839,c_286790,c_286789,c_286777,c_286682,c_286677,c_286676,c_286673,c_286672,c_286671,c_286670,c_286669,c_286668,c_286667,c_286565,c_286563,c_286560,c_286558,c_286543,c_286541,c_286538,c_286536,c_286464,c_286463,c_286461,c_286460,c_286467,c_286466,c_286406,c_286405,c_286404,c_286403,c_286402,c_286409,c_286408,c_286255,c_286250,c_286249,c_286246,c_286245,c_286244,c_286243,c_286242,c_286241,c_286240,c_286012,c_286010,c_285997,c_285996,c_285992,c_285987,c_285986,c_285984,c_285982,c_285979,c_286011,c_286003,c_286002,c_286000,c_285999,c_285998,c_285862,c_285849,c_285848,c_285843,c_285842,c_285835,c_285833,c_285830,c_285827,c_285861,c_285860,c_285859,c_285858,c_285857,c_285856,c_285855,c_285822,c_285821,c_285725,c_285724,c_285722,c_285721,c_285728,c_285727,c_285684,c_285683,c_285681,c_285680,c_285687,c_285686,c_285639,c_285638,c_285637,c_285636,c_285635,c_285642,c_285641,c_285474,c_285473,c_285471,c_285470,c_285443,c_285436,c_285039,c_285035,c_285024,c_285023,c_285019,c_285012,c_285011,c_285010,c_285009,c_285006,c_285036,c_285033,c_285032,c_285030,c_285029,c_285028,c_285027,c_285026,c_285025,c_285037,c_285038,c_285034,c_284898,c_284897,c_284896,c_284895,c_284894,c_284893,c_284890,c_284765,c_284727,c_284662,c_284661,c_284660,c_284659,c_284658,c_284657,c_284656,c_284655,c_284654,c_284609,c_284608,c_284607,c_284606,c_284605,c_284604,c_284602,c_284549,c_284548,c_284547,c_284546,c_284545,c_284544,c_284543,c_284542,c_284501,c_284500,c_284499,c_284498,c_284497,c_284496,c_284495,c_284494,c_284493,c_284287,c_284286,c_284284,c_284283,c_284256,c_284255,c_284253,c_284252,c_284179,c_284132,c_284131,c_284130,c_284128,c_284053,c_284052,c_284051,c_284049,c_283995,c_283994,c_283993,c_283991,c_283929,c_283226,c_283220,c_283200,c_283199,c_283194,c_283193,c_283188,c_283187,c_283182,c_283181,c_282280,c_281992,c_281989,c_281988,c_272295,c_272271,c_271895,c_271637,c_271632,c_286222,c_286232,c_286659,c_281463,c_271021,c_282276,c_283256,c_281465,c_272972,c_272968,c_270990,c_286238,c_286239,c_286665,c_286666,c_288616,c_288615,c_288614,c_285435,c_285434,c_285433,c_285432,c_285431,c_285430,c_285429,c_283932,c_283931,c_283930,c_197951,c_189777,c_289512,c_289472,c_289366,c_285726,c_285685,c_285640,c_285475,c_286407,c_284288,c_284257,c_286465,c_290671,c_291705,c_271597,c_281684,c_281112,c_287285,c_57870,c_291009,c_291008,c_291007,c_290001,c_290000,c_289997,c_289996,c_289988,c_289987,c_289986,c_289985,c_289983,c_289278,c_289277,c_289274,c_289273,c_289265,c_289264,c_289263,c_289262,c_289261,c_285820,c_288482,c_280201,c_280198,c_272007,c_271917,c_271799,c_270923,c_270921,c_270922,c_270920,c_270919,c_270918,c_270917,c_270916,c_270915,c_270912,c_270910,c_270900,c_289538,c_291644,c_291643,c_291642,c_291641,c_291640,c_291639,c_291638,c_291406,c_291405,c_291404,c_291403,c_291402,c_291401,c_291400,c_291399,c_292048,c_292042,c_292041,c_292040,c_292039,c_292038,c_292037,c_292036,c_292035,c_292034,c_292033,c_292032,c_292031,c_292028,c_292026,c_292047,c_291840,c_291834,c_291833,c_291832,c_291831,c_291830,c_291829,c_291828,c_291827,c_291826,c_291825,c_291824,c_291823,c_291822,c_291821,c_291820,c_291818,c_291817,c_291839,c_291838,c_290270,c_290269,c_290271,c_290267,c_290254,c_290177,c_290176,c_290178,c_290174,c_290162,c_289944,c_289943,c_289940,c_289939,c_289921,c_289920,c_289916,c_289901,c_289899,c_289898,c_289699,c_289698,c_289697,c_289696,c_289695,c_289694,c_289693,c_289681,c_289678,c_289677,c_289676,c_289674,c_289673,c_289680,c_289679,c_289675,c_291108,c_291107,c_291106,c_291105,c_291104,c_291103,c_291102,c_291101,c_291100,c_291099,c_291098,c_291097,c_289536,c_289225,c_289224,c_289226,c_289222,c_288951,c_288950,c_288952,c_288948,c_288832,c_288831,c_288833,c_288829,c_289042,c_289039,c_289036,c_289033,c_289030,c_289027,c_289024,c_289021,c_289018,c_289016,c_289015,c_289014,c_289013,c_289012,c_289011,c_289010,c_289009,c_289008,c_289006,c_289005,c_289004,c_289002,c_289001,c_289000,c_288999,c_288998,c_288997,c_288996,c_288994,c_288988,c_288973,c_288970,c_288969,c_288968,c_288967,c_288966,c_288965,c_288964,c_288962,c_288652,c_288651,c_288650,c_288649,c_288648,c_288647,c_288646,c_288645,c_288644,c_288643,c_288589,c_288588,c_288587,c_288586,c_288585,c_288584,c_288555,c_288554,c_288553,c_288551,c_288550,c_288549,c_288548,c_288547,c_288546,c_288545,c_288544,c_288543,c_288557,c_288556,c_288552,c_287800,c_287795,c_287794,c_287793,c_287744,c_287740,c_287739,c_287738,c_287737,c_287725,c_287722,c_287721,c_287720,c_287719,c_287718,c_287652,c_287650,c_287649,c_287648,c_287647,c_287646,c_287645,c_287610,c_287609,c_287608,c_287607,c_287606,c_287605,c_287604,c_287603,c_288285,c_288284,c_288282,c_288281,c_288280,c_288279,c_288278,c_288277,c_288264,c_288263,c_288262,c_288265,c_288266,c_288260,c_288259,c_288258,c_288261,c_288257,c_288256,c_288255,c_288254,c_288253,c_288252,c_288251,c_287805,c_287749,c_287730,c_287657,c_287615,c_288235,c_288234,c_288221,c_288220,c_288219,c_288217,c_288216,c_288215,c_287586,c_287585,c_287584,c_287583,c_287581,c_287579,c_287577,c_287575,c_287449,c_287448,c_287447,c_287445,c_287444,c_287451,c_287450,c_287446,c_288107,c_288093,c_287328,c_287315,c_287425,c_287423,c_287422,c_287419,c_287418,c_287410,c_287372,c_287370,c_287369,c_287368,c_287367,c_287357,c_287100,c_287098,c_287097,c_287096,c_287095,c_287092,c_287091,c_287085,c_287039,c_287037,c_287036,c_287035,c_287034,c_287029,c_287028,c_287024,c_287302,c_288048,c_288047,c_288055,c_288052,c_288051,c_288050,c_288049,c_287970,c_287903,c_287902,c_287901,c_287900,c_287899,c_287915,c_287914,c_287912,c_287908,c_287907,c_287906,c_287905,c_287904,c_287884,c_271494,c_286986,c_286984,c_286983,c_286982,c_286981,c_286978,c_286977,c_286976,c_286975,c_286974,c_286973,c_286971,c_286651,c_286650,c_286647,c_283198,c_286640,c_286639,c_286626,c_286625,c_286624,c_286623,c_286622,c_286620,c_271341,c_281972,c_286617,c_286616,c_286615,c_286587,c_286586,c_286585,c_286583,c_286582,c_286589,c_286588,c_286584,c_286133,c_286132,c_286131,c_286109,c_281962,c_281954,c_281946,c_285977,c_284762,c_284759,c_284756,c_284753,c_284750,c_284747,c_284744,c_284741,c_284738,c_284735,c_284732,c_284730,c_284729,c_284726,c_284725,c_284724,c_284723,c_284722,c_284721,c_284719,c_283192,c_284717,c_284716,c_284715,c_284714,c_284713,c_284459,c_284458,c_284454,c_284451,c_284450,c_284449,c_284409,c_284408,c_284407,c_284406,c_284405,c_284391,c_284390,c_284389,c_284387,c_284386,c_284393,c_284392,c_284388,c_284216,c_284215,c_284214,c_284213,c_284212,c_284211,c_284180,c_284178,c_284177,c_284176,c_284175,c_284174,c_283775,c_283774,c_283773,c_283772,c_283771,c_283770,c_286206,c_286205,c_286204,c_286173,c_286166,c_286165,c_286163,c_286162,c_286161,c_286160,c_285399,c_285398,c_285397,c_285385,c_285378,c_285377,c_285375,c_285374,c_285373,c_285372,c_285349,c_285348,c_285347,c_285307,c_285300,c_285299,c_285297,c_285296,c_285295,c_285294,c_285285,c_285284,c_285283,c_284366,c_284361,c_284360,c_284357,c_284356,c_284351,c_284081,c_284080,c_284077,c_283186,c_284070,c_284069,c_284065,c_283975,c_283974,c_283976,c_283973,c_285262,c_285255,c_285254,c_285252,c_285251,c_285250,c_285249,c_285240,c_285239,c_285238,c_285198,c_285191,c_285190,c_285188,c_285187,c_285186,c_285185,c_283956,c_283955,c_283954,c_283897,c_283896,c_283895,c_283894,c_283885,c_283879,c_283878,c_283877,c_283875,c_283874,c_283881,c_283880,c_283876,c_283841,c_283838,c_283836,c_283835,c_283832,c_283831,c_283830,c_283180,c_283746,c_283745,c_283747,c_283733,c_283732,c_283734,c_271107,c_271082,c_283695,c_283689,c_283645,c_283823,c_283822,c_283818,c_283725,c_283724,c_283723,c_283674,c_283673,c_283659,c_283658,c_283657,c_283655,c_283654,c_283661,c_283660,c_283656,c_271074,c_283639,c_283623,c_283565,c_283564,c_283570,c_283571,c_283572,c_283573,c_283574,c_283575,c_283568,c_283567,c_283566,c_283454,c_283448,c_283442,c_283317,c_283316,c_283315,c_283314,c_283313,c_283331,c_283330,c_283329,c_283328,c_283327,c_283326,c_283325,c_283324,c_283323,c_283322,c_283321,c_283320,c_283319,c_283318,c_283298,c_283297,c_271631,c_282047,c_283269,c_283268,c_283267,c_283266,c_283265,c_283264,c_283262,c_283261,c_283260,c_283259,c_283258,c_283257,c_283248,c_283247,c_283246,c_283245,c_283244,c_283243,c_283242,c_283241,c_283240,c_283239,c_283238,c_283237,c_283236,c_283235,c_283232,c_283234,c_60797,c_283221,c_283178,c_283142,c_282282,c_282279,c_282278,c_282277,c_282275,c_282274,c_282273,c_282272,c_282271,c_282270,c_282269,c_282268,c_282267,c_282266,c_282265,c_282264,c_282263,c_282262,c_282261,c_282260,c_282259,c_282258,c_282257,c_282256,c_282255,c_282254,c_282253,c_282252,c_282251,c_282250,c_282249,c_282248,c_282247,c_282246,c_282245,c_282244,c_282243,c_282242,c_282241,c_282240,c_282239,c_282238,c_282237,c_282236,c_282235,c_282234,c_282233,c_282232,c_282231,c_282230,c_282229,c_282228,c_282227,c_282226,c_282225,c_282224,c_282223,c_282222,c_282221,c_282220,c_282219,c_282218,c_282217,c_282281,c_282215,c_282214,c_282213,c_282212,c_282211,c_282210,c_282209,c_282208,c_282207,c_282206,c_282205,c_282204,c_282203,c_282202,c_282201,c_282200,c_282199,c_282198,c_282197,c_282196,c_282195,c_282194,c_282193,c_282192,c_282191,c_282190,c_282189,c_282188,c_282187,c_282186,c_282185,c_282184,c_282183,c_282182,c_282181,c_282180,c_282179,c_282178,c_282177,c_282176,c_282173,c_282172,c_282171,c_282174,c_282175,c_282169,c_282168,c_282167,c_282170,c_282166,c_282165,c_282164,c_282163,c_282162,c_282161,c_282160,c_282159,c_282158,c_282157,c_282156,c_282155,c_282154,c_282153,c_282152,c_282151,c_282150,c_282149,c_282148,c_282147,c_282146,c_282145,c_282144,c_282143,c_282142,c_282141,c_282140,c_282139,c_282138,c_282137,c_282136,c_282135,c_282134,c_282133,c_282132,c_282131,c_282130,c_282129,c_282128,c_282127,c_282126,c_282125,c_282124,c_282123,c_282122,c_282121,c_282120,c_282119,c_282118,c_282117,c_282116,c_282115,c_282114,c_282113,c_282112,c_282111,c_282110,c_282109,c_282108,c_282107,c_282106,c_282105,c_282104,c_282103,c_282102,c_282101,c_282100,c_282099,c_282098,c_282097,c_282096,c_282095,c_282094,c_282093,c_282092,c_282091,c_282090,c_282089,c_282088,c_282087,c_282086,c_282085,c_282084,c_282083,c_282082,c_282081,c_282080,c_282079,c_282078,c_282077,c_282076,c_282075,c_282074,c_282073,c_282072,c_282071,c_282070,c_282069,c_282068,c_282067,c_282066,c_282065,c_282064,c_282063,c_282062,c_282061,c_282060,c_282059,c_282058,c_282057,c_282056,c_282055,c_282054,c_282053,c_282052,c_282051,c_282050,c_282049,c_282048,c_282029,c_281939,c_281936,c_281910,c_281909,c_281900,c_281898,c_281872,c_281867,c_281866,c_281863,c_281862,c_281857,c_282026,c_282023,c_282022,c_282021,c_281841,c_281833,c_281830,c_281829,c_281828,c_281801,c_281697,c_281696,c_281683,c_281675,c_281674,c_281667,c_281664,c_281661,c_281659,c_281694,c_281693,c_281691,c_281654,c_281620,c_281795,c_281619,c_281589,c_281588,c_281587,c_281586,c_281563,c_281562,c_281561,c_281560,c_281559,c_281558,c_281557,c_281556,c_281555,c_281554,c_281553,c_281552,c_281464,c_281462,c_281461,c_281460,c_281459,c_281458,c_281457,c_281456,c_281455,c_281454,c_281449,c_281420,c_281413,c_281403,c_281374,c_281367,c_281359,c_281356,c_281355,c_281354,c_281322,c_281307,c_281278,c_281125,c_281124,c_281111,c_281103,c_281102,c_281095,c_281093,c_281090,c_281087,c_281108,c_281123,c_281122,c_281121,c_281120,c_281119,c_281118,c_281113,c_281050,c_281271,c_281047,c_281044,c_281043,c_281042,c_281010,c_280964,c_280938,c_280937,c_280936,c_280920,c_280916,c_280915,c_280914,c_280898,c_280894,c_280893,c_280892,c_280882,c_280853,c_280846,c_280832,c_280803,c_280796,c_280786,c_280751,c_280738,c_280722,c_280693,c_280676,c_280666,c_280631,c_280618,c_280604,c_280601,c_280600,c_280599,c_280572,c_280564,c_280561,c_280560,c_280559,c_280532,c_280474,c_280471,c_280470,c_280469,c_280442,c_280432,c_280403,c_280396,c_280386,c_280357,c_280350,c_280330,c_280301,c_280294,c_280257,c_280254,c_280249,c_280248,c_280239,c_280235,c_280217,c_280024,c_280012,c_279900,c_279899,c_279898,c_279886,c_279869,c_279868,c_279867,c_279866,c_279865,c_279864,c_279863,c_279862,c_279861,c_279860,c_279859,c_279858,c_279205,c_279185,c_279851,c_279850,c_279849,c_279545,c_279525,c_279524,c_279523,c_279522,c_279521,c_279520,c_279519,c_279518,c_279517,c_279516,c_279515,c_279514,c_279513,c_279512,c_279511,c_279510,c_279432,c_279431,c_279416,c_279415,c_279414,c_279413,c_279412,c_279358,c_279357,c_279167,c_279160,c_279153,c_279113,c_278619,c_278612,c_273301,c_273188,c_279246,c_279226,c_279225,c_279224,c_279223,c_279222,c_279221,c_279220,c_279219,c_279218,c_279217,c_279216,c_279215,c_279214,c_279213,c_279212,c_278875,c_278860,c_278859,c_278858,c_278857,c_278856,c_278847,c_278846,c_278668,c_278661,c_278660,c_278659,c_278658,c_278657,c_278656,c_278655,c_278654,c_278653,c_278652,c_278651,c_278650,c_278644,c_278643,c_278642,c_278641,c_278640,c_280192,c_278639,c_278638,c_278637,c_278636,c_278635,c_278634,c_272963,c_271988,c_278605,c_278598,c_10349,c_278545,c_278522,c_278515,c_278623,c_278622,c_278163,c_278156,c_278155,c_278154,c_278153,c_278152,c_278151,c_278150,c_278149,c_278148,c_278147,c_278146,c_278145,c_278140,c_278139,c_278138,c_278137,c_278136,c_280193,c_278135,c_278134,c_278133,c_278132,c_278131,c_278130,c_279887,c_280184,c_280181,c_280035,c_280013,c_278101,c_278100,c_278099,c_278098,c_278097,c_278096,c_278031,c_278030,c_278029,c_278028,c_278027,c_278026,c_278025,c_278024,c_278017,c_277986,c_277985,c_277984,c_277925,c_277916,c_277914,c_277912,c_277911,c_277910,c_277909,c_277908,c_277907,c_277894,c_277893,c_277892,c_277850,c_277849,c_277848,c_277847,c_277846,c_277845,c_277790,c_277789,c_277788,c_277787,c_277786,c_277785,c_277784,c_277783,c_277776,c_277745,c_277744,c_277743,c_277730,c_277729,c_277487,c_277486,c_277475,c_277474,c_277473,c_277472,c_277469,c_277453,c_277452,c_277451,c_277427,c_277397,c_277396,c_277395,c_277384,c_277151,c_277150,c_277080,c_277079,c_277069,c_277068,c_277067,c_277066,c_277065,c_277062,c_277048,c_277047,c_277046,c_277159,c_277039,c_277015,c_277014,c_277013,c_276970,c_276969,c_276959,c_276936,c_276935,c_276913,c_276912,c_276911,c_276828,c_276822,c_276817,c_276815,c_276814,c_276812,c_276811,c_276810,c_276798,c_276797,c_276796,c_276625,c_276602,c_276601,c_276600,c_276586,c_276585,c_276575,c_276552,c_276551,c_276528,c_276527,c_276526,c_276512,c_276511,c_276452,c_276451,c_276443,c_276442,c_276440,c_276439,c_276438,c_276437,c_276422,c_276421,c_276420,c_276406,c_276405,c_276395,c_276372,c_276371,c_276356,c_276355,c_276354,c_277165,c_276332,c_276331,c_276158,c_276157,c_276149,c_276148,c_276147,c_276146,c_276145,c_276144,c_276143,c_276107,c_276106,c_276105,c_277342,c_276098,c_276075,c_276074,c_276073,c_277378,c_277372,c_277366,c_277360,c_277354,c_277348,c_276054,c_276047,c_276046,c_276045,c_276044,c_276023,c_276022,c_276021,c_275953,c_275947,c_275942,c_275940,c_275939,c_275937,c_275936,c_275935,c_275924,c_275923,c_275922,c_275915,c_275892,c_275891,c_275890,c_275871,c_275864,c_275863,c_275862,c_275861,c_275848,c_275847,c_275846,c_275722,c_275721,c_275668,c_275667,c_275663,c_275662,c_275661,c_275660,c_275659,c_275658,c_275656,c_275655,c_275654,c_275653,c_275614,c_275613,c_275612,c_275593,c_275586,c_275585,c_275584,c_275583,c_275570,c_275569,c_275568,c_275548,c_275547,c_275478,c_275477,c_275474,c_275473,c_275472,c_275471,c_275470,c_275469,c_275468,c_275467,c_275466,c_275465,c_275464,c_275463,c_275449,c_275448,c_275447,c_275440,c_275405,c_275404,c_275403,c_275383,c_275382,c_275374,c_275373,c_275372,c_275360,c_275359,c_275270,c_275269,c_275268,c_275203,c_275200,c_275197,c_275192,c_275190,c_275189,c_275187,c_275186,c_275185,c_275176,c_275175,c_275174,c_275167,c_275148,c_275147,c_275146,c_275138,c_275137,c_275129,c_275128,c_275109,c_275108,c_275107,c_274963,c_275099,c_275098,c_275060,c_275053,c_275046,c_275039,c_273840,c_275090,c_275089,c_275080,c_275079,c_275078,c_275069,c_275068,c_275067,c_275030,c_275029,c_275028,c_275019,c_275018,c_275017,c_274998,c_274997,c_274996,c_274988,c_274987,c_274958,c_274957,c_274949,c_274948,c_274930,c_274929,c_274862,c_274861,c_274858,c_274857,c_274856,c_274855,c_274854,c_274853,c_274852,c_274851,c_274850,c_274848,c_274847,c_274844,c_274795,c_274794,c_274791,c_274790,c_274789,c_274788,c_274787,c_274786,c_274785,c_274784,c_274783,c_274781,c_274780,c_274777,c_274052,c_274041,c_274040,c_274039,c_274018,c_274017,c_274016,c_273995,c_273994,c_273993,c_274214,c_274213,c_30797,c_30796,c_274210,c_274209,c_274207,c_274203,c_274202,c_274201,c_274200,c_274199,c_274135,c_274134,c_30414,c_30413,c_274131,c_274130,c_274128,c_274124,c_274123,c_274122,c_274121,c_274120,c_274071,c_274070,c_274069,c_273984,c_273983,c_273982,c_273963,c_273962,c_273961,c_273952,c_273951,c_273950,c_273877,c_273876,c_273869,c_273868,c_273867,c_273866,c_273800,c_273799,c_273792,c_273791,c_273790,c_273789,c_273704,c_273697,c_273696,c_273695,c_273694,c_273693,c_273692,c_273691,c_273690,c_273689,c_273688,c_273687,c_273686,c_273675,c_273672,c_273669,c_273646,c_273645,c_273642,c_273601,c_273600,c_273599,c_273597,c_273596,c_273290,c_273289,c_273288,c_273277,c_273276,c_273275,c_273232,c_273231,c_273230,c_273211,c_273210,c_273209,c_273208,c_273207,c_273206,c_273191,c_273441,c_273440,c_273439,c_273438,c_273437,c_273436,c_273435,c_273434,c_273433,c_273432,c_273431,c_273430,c_273429,c_273428,c_273427,c_273426,c_273425,c_273424,c_273423,c_273326,c_273325,c_273324,c_273323,c_273322,c_273321,c_273320,c_273317,c_273315,c_273313,c_273312,c_273311,c_273310,c_273309,c_273308,c_273177,c_273165,c_273153,c_273141,c_273129,c_273117,c_273087,c_273086,c_273056,c_273051,c_273050,c_273001,c_273000,c_272999,c_272998,c_272997,c_272996,c_272995,c_272994,c_272993,c_272992,c_272991,c_272977,c_272976,c_272975,c_272971,c_272967,c_272966,c_273105,c_273093,c_272952,c_272940,c_272873,c_272870,c_272869,c_272862,c_272857,c_272856,c_272855,c_272820,c_272817,c_272816,c_272809,c_272804,c_272803,c_272773,c_272772,c_272761,c_272759,c_272715,c_272712,c_272711,c_272705,c_272704,c_272702,c_272699,c_272670,c_272669,c_272658,c_272657,c_272627,c_272624,c_272623,c_272619,c_272616,c_272462,c_272459,c_272458,c_272461,c_272460,c_272457,c_272456,c_272455,c_272454,c_272453,c_272452,c_272451,c_272450,c_272449,c_272448,c_272447,c_272331,c_272328,c_272327,c_272330,c_272329,c_272326,c_272325,c_272324,c_272323,c_272322,c_272321,c_272320,c_272319,c_272318,c_272317,c_272250,c_272247,c_272246,c_272243,c_272242,c_272241,c_272177,c_272174,c_272173,c_272176,c_272175,c_272172,c_272171,c_272170,c_272169,c_272168,c_272167,c_272166,c_272165,c_272109,c_272106,c_272105,c_272103,c_272102,c_272101,c_271679,c_271673,c_271667,c_271661,c_271655,c_271649,c_271643,c_271630,c_271629,c_271628,c_271627,c_271626,c_271625,c_271624,c_271623,c_271622,c_271621,c_271498,c_271493,c_271492,c_271491,c_271490,c_271489,c_271488,c_271487,c_271486,c_271485,c_271484,c_271483,c_271482,c_271481,c_271480,c_271479,c_271478,c_271477,c_272020,c_272019,c_272006,c_272018,c_272017,c_272016,c_272015,c_272014,c_272013,c_272010,c_272008,c_271930,c_271929,c_271916,c_271928,c_271927,c_271926,c_271925,c_271924,c_271923,c_271920,c_271918,c_271812,c_271811,c_271798,c_271810,c_271809,c_271808,c_271807,c_271806,c_271805,c_271802,c_271800,c_271738,c_271737,c_271736,c_271735,c_271734,c_271733,c_271238,c_271237,c_271236,c_271235,c_271234,c_271233,c_271182,c_271181,c_271180,c_271179,c_271178,c_271177,c_271149,c_271148,c_271150,c_271147,c_271146,c_271145,c_271144,c_271029,c_271028,c_271027,c_271026,c_271025,c_271024,c_271023,c_271326,c_271020,c_271019,c_271018,c_271017,c_271016,c_271015,c_271014,c_271022,c_271012,c_271011,c_271010,c_271009,c_271008,c_271007,c_271006,c_271005,c_271004,c_271003,c_271129,c_271128,c_271348,c_271340,c_271339,c_271338,c_271337,c_271336,c_271335,c_271334,c_271333,c_271332,c_271331,c_271330,c_271329,c_271328,c_271327,c_271325,c_271324,c_271323,c_271322,c_270859,c_270858,c_270857,c_270856,c_270855,c_270854,c_270853,c_270852,c_270851,c_270850,c_270849,c_270792,c_270791,c_270790,c_270789,c_270786,c_270785,c_270784,c_270783,c_270782,c_270738,c_270735,c_270741,c_270740,c_270739,c_270737,c_270736,c_270669,c_270668,c_270667,c_270666,c_270665,c_270664,c_270663,c_270662,c_270661,c_270660,c_270659,c_270618,c_270617,c_270616,c_270615,c_270613,c_270612,c_270611,c_270610,c_270609,c_270608,c_270584,c_270583,c_270582,c_270579,c_270515,c_270514,c_270513,c_270512,c_270511,c_270510,c_270509,c_270508,c_270507,c_270506,c_270505,c_270470,c_270465,c_270466,c_270381,c_270380,c_270379,c_270382,c_270378,c_270377,c_269689,c_270356,c_270414,c_270355,c_270354,c_270353,c_270321,c_270320,c_270318,c_270317,c_270315,c_270314,c_270285,c_270282,c_270281,c_270280,c_270238,c_270235,c_270241,c_270240,c_270239,c_270237,c_270236,c_270209,c_270208,c_270207,c_270206,c_270205,c_270204,c_270174,c_270171,c_270170,c_270172,c_270169,c_270140,c_270139,c_270138,c_270136,c_270105,c_270102,c_270101,c_270104,c_270103,c_270100,c_270079,c_270415,c_270076,c_270056,c_270055,c_270054,c_270057,c_270039,c_270416,c_270038,c_270003,c_270002,c_270000,c_269999,c_269998,c_269997,c_270422,c_270421,c_270420,c_270419,c_270418,c_270417,c_269960,c_269959,c_269958,c_269957,c_269956,c_269921,c_269918,c_269924,c_269923,c_269922,c_269920,c_269919,c_269884,c_269883,c_269882,c_269881,c_269880,c_269861,c_269860,c_269859,c_269858,c_269841,c_269840,c_269839,c_269838,c_269820,c_269819,c_269818,c_269817,c_269805,c_269803,c_269784,c_269783,c_269782,c_269785,c_269769,c_269768,c_269755,c_269754,c_269752,c_269741,c_269740,c_269739,c_269712,c_269709,c_269715,c_269714,c_269713,c_269711,c_269710,c_269695,c_269694,c_269688,c_269687,c_269686,c_269685,c_269684,c_269683,c_269682,c_269677,c_269676,c_269663,c_269662,c_269661,c_269660,c_269659,c_269658,c_269653,c_269652,c_269643,c_269642,c_269641,c_269640,c_269631,c_269630,c_269629,c_269628,c_269619,c_269618,c_269617,c_269616,c_269613,c_269605,c_269596,c_269586,c_269585,c_269569,c_269557,c_269558,c_269545,c_269546,c_269535,c_269534,c_269525,c_269524,c_269523,c_269522,c_269512,c_269511,c_269510,c_269491,c_269479,c_696,c_695,c_694,c_693,c_692,c_691,c_690,c_689,c_688,c_687,c_686,c_685,c_684,c_683,c_682,c_681,c_680,c_679,c_678,c_677,c_676,c_675,c_674,c_673,c_672,c_671,c_670,c_669,c_668,c_667,c_666,c_665,c_664,c_663,c_662,c_661,c_660,c_659,c_658,c_657,c_656,c_655,c_654,c_653,c_652,c_651,c_650,c_649,c_648,c_647,c_641,c_640,c_639,c_638,c_637,c_636,c_635,c_634,c_633,c_632,c_631,c_630,c_629,c_628,c_627,c_626,c_642,c_644,c_645,c_646,c_105,c_104,c_103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP273-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/15.38 % Computer : n004.cluster.edu
% 0.11/15.38 % Model : x86_64 x86_64
% 0.11/15.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/15.38 % Memory : 8046.5625MB
% 0.11/15.38 % OS : Linux 6.8.0-71-generic
% 0.11/15.38 % CPULimit : 300
% 0.11/15.38 % WCLimit : 300
% 0.11/15.38 % DateTime : Wed Sep 23 14:19:54 UTC 2026
% 0.11/15.39 % CPUTime :
% 0.11/15.39 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.14/15.42 Running first-order theorem proving
% 0.14/15.42 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/15.43
% 0.14/15.43 % ======== iProver multi-core TPTP/SMT =========
% 0.14/15.43
% 0.14/15.43 % Detected problem language: tptp
% 0.14/15.44 % Proving...
% 86.22/28.00 % SZS status Started for theBenchmark.p
% 86.22/28.00 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) | multiply(X0,sk_c10) != inverse(sk_c10) )")
% 86.22/28.00 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( multiply(X0,sk_c10) != inverse(X0) | multiply(X0,sk_c10) != inverse(sk_c10) )")
% 86.22/28.00 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/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_j4ub8d4f/v7llsiha 2>> /export/starexec/sandbox/tmp/iprover_out_j4ub8d4f/v7llsiha_error
% 86.22/28.00 ERROR - "ProverProcess:heur/445550:16.0" ran with exit code 2 and error: iprover.ml: Unexpected exception: Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( sk_c10 != identity | ~iPr_def_10 )")
% 86.22/28.00 Fatal error: exception Failure("Clause.get_demod_eqs: not a demod/lightnorm conclusion ( sk_c10 != identity | ~iPr_def_10 )")
% 86.22/28.00 ERROR - cmd was: ulimit -v 4023281; ./res/iproveropt --abstr_ref "[]" --abstr_ref_under "[]" --comb_inst_mult 3 --comb_mode time_based --comb_res_mult 1 --comb_sup_deep_mult 2 --comb_sup_mult 0 --conj_cone_tolerance 1.6084091637003026 --demod_completeness_check fast --demod_use_ground true --eq_ax_congr_red true --extra_neg_conj none --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_start_prop_sim_after_learn 3 --inst_subs_given false --inst_subs_new false --instantiation_flag true --out_options none --pred_elim true --prep_def_merge true --prep_def_merge_mbd false --prep_def_merge_prop_impl false --prep_def_merge_tr_cl false --prep_def_merge_tr_red true --prep_gs_sim false --prep_res_sim true --prep_sem_filter neg --prep_sup_sim_all true --prep_sup_sim_sup true --prep_unflatten true --prep_upred false --preprocessing_flag true --prolific_symb_bound 32768 --prop_solver_per_cl 4096 --pure_diseq_elim false --res_backward_subs subset_subsumption --res_backward_subs_resolution false --res_forward_subs subset_subsumption --res_forward_subs_resolution false --res_lit_sel adaptive --res_lit_sel_side num_var --res_ordering kbo --res_passive_queue_type stack --res_passive_queues "[[-num_lits;+conj_symb;-num_symb];[-num_lits;+min_def_symb]]" --res_passive_queues_freq "[1;3]" --res_prop_simpl_given true --res_prop_simpl_new false --res_sim_input false --res_time_limit 202.19 --res_to_prop_solver active --resolution_flag true --schedule none --share_sel_clauses true --smt_ac_axioms fast --smt_preprocessing true --splitting_cvd false --splitting_cvd_svl true --splitting_grd true --splitting_mode input --splitting_nvd 16 --stats_out none --sub_typing false --subs_bck_mult 1 --sup_full_bw "[]" --sup_full_fw "[]" --sup_full_triv "[PropSubs]" --sup_fun_splitting false --sup_immed_bw_immed "[]" --sup_immed_bw_main "[]" --sup_immed_fw_immed "[ACNormalisation]" --sup_immed_fw_main "[]" --sup_immed_triv "[]" --sup_indices_passive "[]" --sup_input_bw "[]" --sup_input_fw "[DemodLightNormLoopTriv;ACNormalisation]" --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 640 --sup_share_score_frac 0.1 --sup_smt_interval 10000 --sup_symb_ordering invfreq --sup_to_prop_solver passive --superposition_flag true --time_out_prep_mult 0.9903106699302947 --suppress_sat_res true --tptp_safe_out true --proof_out true --sat_out_model pos --clausifier res/vclausify_rel --clausifier_options "--mode clausify -t 5.33" --time_out_real 16.00 /export/starexec/sandbox/benchmark/theBenchmark.p 1>> /export/starexec/sandbox/tmp/iprover_out_j4ub8d4f/9k_cw4fh 2>> /export/starexec/sandbox/tmp/iprover_out_j4ub8d4f/9k_cw4fh_error
% 86.63/28.00 % SZS status Unsatisfiable for theBenchmark.p
% 86.63/28.00
% 86.63/28.00 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 86.63/28.00
% 86.63/28.00 % ------ iProver source info
% 86.63/28.00
% 86.63/28.00 % git: date: 2026-07-19 20:42:38 +0200
% 86.63/28.00 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 86.63/28.00 % git: non_committed_changes: false
% 86.63/28.00
% 86.63/28.00 % ------ Parsing...% successful
% 86.63/28.00
% 86.63/28.00
% 86.63/28.00 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 86.63/28.00
% 86.63/28.00 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 86.63/28.00
% 86.63/28.00 % ------ Preprocessing... gs_s sp: 5 0s gs_e snvd_s sp: 0 0s snvd_e %
% 86.63/28.00
% 86.63/28.00 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 86.63/28.00 % ------ Proving...
% 86.63/28.00 % ------ Problem Properties
% 86.63/28.00
% 86.63/28.00 %
% 86.63/28.00 % clauses 73
% 86.63/28.00 % conjectures 55
% 86.63/28.00 % EPR 51
% 86.63/28.00 % Horn 22
% 86.63/28.00 % unary 18
% 86.63/28.00 % binary 50
% 86.63/28.00 % lits 137
% 86.63/28.00 % lits eq 129
% 86.63/28.00 % fd_pure 0
% 86.63/28.00 % fd_pseudo 0
% 86.63/28.00 % fd_cond 0
% 86.63/28.00 % fd_pseudo_cond 0
% 86.63/28.00 % AC symbols 0
% 86.63/28.00
% 86.63/28.00 % ------ Schedule dynamic 5 is on
% 86.63/28.00
% 86.63/28.00 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 86.63/28.00
% 86.63/28.00
% 86.63/28.00 % ------
% 86.63/28.00 % Current options:
% 86.63/28.00 % ------
% 86.63/28.00
% 86.63/28.00
% 86.63/28.00 %
% 86.63/28.00
% 86.63/28.00 % ------ Proving...
% 86.63/28.00 % Proof_search_loop: time out after: 10713 full_loop iterations
% 86.63/28.00
% 86.63/28.00 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 86.63/28.00
% 86.63/28.00
% 86.63/28.00 % ------
% 86.63/28.00 % Current options:
% 86.63/28.00 % ------
% 86.63/28.00
% 86.63/28.00
% 86.63/28.00 %
% 86.63/28.00
% 86.63/28.00 % ------ Proving...
% 86.63/28.00 %
% 86.63/28.00
% 86.63/28.00 % SZS status Unsatisfiable for theBenchmark.p
% 86.63/28.00
% 86.63/28.00 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 86.63/28.07
% 86.63/28.07
%------------------------------------------------------------------------------