%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP355-1 : 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 : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:19 PM UTC 2026
% Result : Unsatisfiable 4.91s 2.29s
% Output : CNFRefutation 10.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 37
% Syntax : Number of formulae : 1491 ( 193 unt; 10 def)
% Number of atoms : 8668 (3428 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 3068 ( 794 ~;2274 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 15 ( 13 usr; 14 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 479 ( 0 sgn 479 !; 0 ?; 459 :)
% 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_c2,sk_c8) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c8 = inverse(sk_c2)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c6 = multiply(sk_c8,sk_c5)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c7,sk_c6) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c8 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
( inverse(sk_c2) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c8 = inverse(sk_c2)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( inverse(sk_c3) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c6 = inverse(sk_c3)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c6 = multiply(sk_c8,sk_c5)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c8
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c8 = inverse(sk_c4)
| sk_c7 = multiply(sk_c1,sk_c8) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c2,sk_c8) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( inverse(sk_c2) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( inverse(sk_c3) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( multiply(sk_c8,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = multiply(sk_c8,sk_c5)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c8) = sk_c5
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c4,sk_c8)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( inverse(sk_c4) = sk_c8
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c8 = inverse(sk_c4)
| sk_c8 = inverse(sk_c1) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( inverse(X4) != sk_c8
| multiply(X4,sk_c8) != X3
| multiply(sk_c8,X3) != sk_c6
| inverse(X2) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| inverse(X1) != sk_c8
| multiply(X1,sk_c8) != sk_c7
| inverse(X0) != sk_c8
| multiply(X0,sk_c8) != sk_c7
| multiply(sk_c7,sk_c6) != sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
! [X2,X3,X0,X1,X4] :
( sk_c8 != inverse(X4)
| multiply(X4,sk_c8) != X3
| sk_c6 != multiply(sk_c8,X3)
| sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(reorient_equations,[],[f47]) ).
fof(f49,plain,
! [X2,X0,X1,X4] :
( sk_c8 != inverse(X4)
| sk_c6 != multiply(sk_c8,multiply(X4,sk_c8))
| sk_c6 != inverse(X2)
| sk_c7 != multiply(X2,sk_c6)
| sk_c8 != inverse(X1)
| sk_c7 != multiply(X1,sk_c8)
| inverse(X0) != sk_c8
| sk_c7 != multiply(X0,sk_c8)
| multiply(sk_c7,sk_c6) != sk_c8 ),
inference(equality_resolution,[],[f48]) ).
tcf(c_74,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_75,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_77,negated_conjecture,
( ( multiply(sk_c2,sk_c8) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_78,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_79,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_80,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_81,negated_conjecture,
( ( multiply(sk_c8,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_82,negated_conjecture,
( ( multiply(sk_c4,sk_c8) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_83,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c7,sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_84,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_85,negated_conjecture,
( ( inverse(sk_c2) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c3) = sk_c6 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c8,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_89,negated_conjecture,
( ( multiply(sk_c1,sk_c8) = sk_c7 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c4) = sk_c8 )
| ( multiply(sk_c1,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_91,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c2,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c3) = sk_c6 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c8,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( multiply(sk_c4,sk_c8) = sk_c5 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c8 )
| ( inverse(sk_c4) = sk_c8 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_98,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c8 )
| ( inverse(X2) != sk_c8 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c7,sk_c6) != sk_c8 )
| ( multiply(X2,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c8) != sk_c7 )
| ( multiply(sk_c8,multiply(X3,sk_c8)) != sk_c6 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_315,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_98]) ).
tcf(c_316,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_98]) ).
tcf(c_317,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_98]) ).
tcf(c_318,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c7,sk_c6) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_98]) ).
tcf(c_319,definition,
iPr_def_13 = multiply(sk_c7,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_320,definition,
iPr_def_14 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_321,definition,
iPr_def_15 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_322,definition,
iPr_def_16 = multiply(sk_c4,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_323,definition,
iPr_def_17 = multiply(sk_c8,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_324,definition,
iPr_def_18 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_325,definition,
iPr_def_19 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_326,definition,
iPr_def_20 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_327,definition,
iPr_def_21 = multiply(sk_c2,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_328,definition,
iPr_def_22 = multiply(sk_c1,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_329,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_318,c_319]) ).
tcf(c_330,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,sk_c8)) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_317]) ).
tcf(c_332,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_316]) ).
tcf(c_333,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_315]) ).
tcf(c_334,negated_conjecture,
( ( iPr_def_15 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_97,c_321,c_320]) ).
tcf(c_335,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_96,c_322]) ).
tcf(c_336,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_95,c_323]) ).
tcf(c_337,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_94,c_324]) ).
tcf(c_338,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93,c_325]) ).
tcf(c_339,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_92,c_326]) ).
tcf(c_340,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_91,c_327]) ).
tcf(c_341,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_90,c_328]) ).
tcf(c_342,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_343,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_344,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_345,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_346,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_85]) ).
tcf(c_347,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_84]) ).
tcf(c_348,negated_conjecture,
( ( iPr_def_14 = sk_c8 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_83]) ).
tcf(c_349,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_82]) ).
tcf(c_350,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_81]) ).
tcf(c_351,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_80]) ).
tcf(c_352,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_79]) ).
tcf(c_353,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_78]) ).
tcf(c_354,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_13 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_77]) ).
tcf(c_355,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_356,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_527,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_14 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_334,c_329]) ).
tcf(c_545,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_336,c_337]) ).
tcf(c_557,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_334,c_339]) ).
tcf(c_559,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_339,c_329]) ).
tcf(c_572,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_338,c_340]) ).
tcf(c_576,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_340,c_319]) ).
tcf(c_577,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_338,c_319]) ).
tcf(c_578,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_337,c_319]) ).
tcf(c_579,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_336,c_319]) ).
tcf(c_588,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_339,c_322]) ).
tcf(c_589,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_334,c_322]) ).
tcf(c_594,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_20,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_339,c_323]) ).
tcf(c_595,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_334,c_323]) ).
tcf(c_596,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_335,c_323]) ).
tcf(c_603,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_337,c_325]) ).
tcf(c_604,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_336,c_325]) ).
tcf(c_615,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_341,c_319]) ).
tcf(c_616,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_341,c_340]) ).
tcf(c_617,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_341,c_338]) ).
tcf(c_630,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_342,c_323]) ).
tcf(c_638,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_343,c_325]) ).
tcf(c_639,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_343,c_319]) ).
tcf(c_651,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk_c7 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_344,c_343]) ).
tcf(c_652,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_344,c_325]) ).
tcf(c_653,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_344,c_319]) ).
tcf(c_667,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_345,c_319]) ).
tcf(c_668,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_345,c_340]) ).
tcf(c_669,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_345,c_338]) ).
tcf(c_684,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_346,c_319]) ).
tcf(c_685,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_346,c_340]) ).
tcf(c_686,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_346,c_338]) ).
tcf(c_701,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_347,c_319]) ).
tcf(c_702,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_347,c_340]) ).
tcf(c_703,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_347,c_338]) ).
tcf(c_718,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_348,c_323]) ).
tcf(c_719,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_348,c_322]) ).
tcf(c_720,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_348,c_339]) ).
tcf(c_721,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_348,c_334]) ).
tcf(c_722,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_348,c_329]) ).
tcf(c_738,plain,
! [X0: $i] :
( ( iPr_def_13 = sk_c8 )
| ( iPr_def_13 != X0 )
| ( sk_c8 != X0 ) ),
inference(instantiation,[status(thm)],[c_356]) ).
tcf(c_739,plain,
( ( iPr_def_13 = sk_c8 )
| ( iPr_def_13 != iPr_def_13 )
| ( sk_c8 != iPr_def_13 ) ),
inference(instantiation,[status(thm)],[c_738]) ).
tcf(c_740,plain,
iPr_def_13 = iPr_def_13,
inference(instantiation,[status(thm)],[c_355]) ).
tcf(c_743,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_348,c_327]) ).
tcf(c_744,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_339,c_327]) ).
tcf(c_745,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_334,c_327]) ).
tcf(c_752,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_348,c_328]) ).
tcf(c_753,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_339,c_328]) ).
tcf(c_754,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_334,c_328]) ).
tcf(c_769,plain,
multiply(iPr_def_20,sk_c2) = identity,
inference(superposition,[status(thm)],[c_326,c_75]) ).
tcf(c_770,plain,
multiply(iPr_def_18,sk_c3) = identity,
inference(superposition,[status(thm)],[c_324,c_75]) ).
tcf(c_771,plain,
multiply(iPr_def_14,sk_c4) = identity,
inference(superposition,[status(thm)],[c_320,c_75]) ).
tcf(c_772,plain,
multiply(iPr_def_15,sk_c1) = identity,
inference(superposition,[status(thm)],[c_321,c_75]) ).
tcf(c_777,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_349,c_323]) ).
tcf(c_793,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_350,c_344]) ).
tcf(c_794,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_350,c_325]) ).
tcf(c_795,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c7,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_350,c_319]) ).
tcf(c_818,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_350]) ).
tcf(c_820,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_351,c_325]) ).
tcf(c_821,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c7,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_319]) ).
tcf(c_838,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_352,c_347]) ).
tcf(c_839,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_346]) ).
tcf(c_840,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_352,c_345]) ).
tcf(c_841,plain,
( ( iPr_def_19 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_341]) ).
tcf(c_842,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_319]) ).
tcf(c_885,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_353,c_328]) ).
tcf(c_886,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_353,c_327]) ).
tcf(c_887,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_353,c_348]) ).
tcf(c_888,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_353,c_323]) ).
tcf(c_889,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_353,c_322]) ).
tcf(c_890,plain,
( ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_353,c_334]) ).
tcf(c_891,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_353,c_329]) ).
tcf(c_920,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_352]) ).
tcf(c_921,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_354,c_347]) ).
tcf(c_922,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_346]) ).
tcf(c_923,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_354,c_345]) ).
tcf(c_924,plain,
( ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_341]) ).
tcf(c_925,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_319]) ).
tcf(c_953,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( inverse(sk_c2) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_327,c_332]) ).
tcf(c_954,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_16 )
| ( inverse(sk_c4) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_322,c_332]) ).
tcf(c_955,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_22 )
| ( inverse(sk_c1) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_328,c_332]) ).
tcf(c_956,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c8 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_74,c_332]) ).
tcf(c_957,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_75,c_332]) ).
tcf(c_958,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_353,c_332]) ).
tcf(c_959,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_14) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_348,c_332]) ).
tcf(c_960,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_20) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_339,c_332]) ).
tcf(c_961,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_334,c_332]) ).
tcf(c_965,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_15 )
| ( sk_c7 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_955,c_321]) ).
tcf(c_969,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_14 )
| ( sk_c7 != iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_954,c_320]) ).
tcf(c_973,plain,
( ~ iPr_def_11
| ( sk_c8 != iPr_def_20 )
| ( sk_c7 != iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_953,c_326]) ).
tcf(c_1022,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_319,c_333]) ).
tcf(c_1023,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_19 )
| ( inverse(sk_c3) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_325,c_333]) ).
tcf(c_1024,plain,
( ~ iPr_def_10
| ( sk_c7 != sk_c6 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_74,c_333]) ).
tcf(c_1025,plain,
( ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c6)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_75,c_333]) ).
tcf(c_1026,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_18) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_351,c_333]) ).
tcf(c_1027,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_17) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_350,c_333]) ).
tcf(c_1028,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_18) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_344,c_333]) ).
tcf(c_1029,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_17) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_343,c_333]) ).
tcf(c_1030,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_18) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_337,c_333]) ).
tcf(c_1031,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,iPr_def_17) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_336,c_333]) ).
tcf(c_1035,plain,
( ~ iPr_def_10
| ( sk_c6 != iPr_def_18 )
| ( sk_c7 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1023,c_324]) ).
tcf(c_1114,plain,
( ~ iPr_def_12
| ( inverse(sk_c2) != sk_c8 )
| ( multiply(sk_c8,iPr_def_21) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_327,c_330]) ).
tcf(c_1115,plain,
( ~ iPr_def_12
| ( inverse(sk_c4) != sk_c8 )
| ( multiply(sk_c8,iPr_def_16) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_322,c_330]) ).
tcf(c_1116,plain,
( ~ iPr_def_12
| ( inverse(sk_c1) != sk_c8 )
| ( multiply(sk_c8,iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_328,c_330]) ).
tcf(c_1117,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_74,c_330]) ).
tcf(c_1118,plain,
( ~ iPr_def_12
| ( inverse(inverse(sk_c8)) != sk_c8 )
| ( multiply(sk_c8,identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_75,c_330]) ).
tcf(c_1119,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_353,c_330]) ).
tcf(c_1120,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_14,multiply(X0,iPr_def_14)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_348,c_330]) ).
tcf(c_1121,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_20,multiply(X0,iPr_def_20)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_339,c_330]) ).
tcf(c_1122,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_334,c_330]) ).
tcf(c_1126,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_15 )
| ( multiply(sk_c8,iPr_def_22) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1116,c_321]) ).
tcf(c_1130,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_14 )
| ( multiply(sk_c8,iPr_def_16) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1115,c_320]) ).
tcf(c_1134,plain,
( ~ iPr_def_12
| ( sk_c8 != iPr_def_20 )
| ( multiply(sk_c8,iPr_def_21) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1114,c_326]) ).
tcf(c_1168,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_545,c_330]) ).
tcf(c_1169,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_545,c_332]) ).
tcf(c_1170,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_545,c_353]) ).
tcf(c_1171,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_545,c_328]) ).
tcf(c_1172,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_545,c_327]) ).
tcf(c_1173,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_545,c_348]) ).
tcf(c_1174,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_545,c_323]) ).
tcf(c_1175,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_545,c_322]) ).
tcf(c_1176,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_545,c_339]) ).
tcf(c_1177,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_545,c_329]) ).
tcf(c_1266,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_14 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_557,c_329]) ).
tcf(c_1273,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_319,c_76]) ).
tcf(c_1274,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_327,c_76]) ).
tcf(c_1275,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_325,c_76]) ).
tcf(c_1276,plain,
! [X0: $i] : multiply(sk_c8,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_323,c_76]) ).
tcf(c_1277,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_322,c_76]) ).
tcf(c_1278,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_328,c_76]) ).
tcf(c_1279,plain,
! [X0: $i,X1: $i] : multiply(identity,multiply(X0,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_74,c_76]) ).
tcf(c_1280,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_75,c_76]) ).
tcf(c_1282,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_769,c_76]) ).
tcf(c_1283,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_770,c_76]) ).
tcf(c_1284,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_771,c_76]) ).
tcf(c_1285,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_772,c_76]) ).
tcf(c_1286,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_12
| ( inverse(multiply(X0,X1)) != sk_c8 )
| ( multiply(sk_c8,multiply(X0,multiply(X1,sk_c8))) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_76,c_330]) ).
tcf(c_1287,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( inverse(multiply(X0,X1)) != sk_c8 )
| ( multiply(X0,multiply(X1,sk_c8)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_76,c_332]) ).
tcf(c_1288,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_76,c_76]) ).
tcf(c_1289,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( inverse(multiply(X0,X1)) != sk_c6 )
| ( multiply(X0,multiply(X1,sk_c6)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_76,c_333]) ).
tcf(c_1290,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1285,c_74]) ).
tcf(c_1291,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1284,c_74]) ).
tcf(c_1292,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1283,c_74]) ).
tcf(c_1293,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1282,c_74]) ).
tcf(c_1396,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_572,c_330]) ).
tcf(c_1397,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_572,c_332]) ).
tcf(c_1398,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_572,c_353]) ).
tcf(c_1399,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_572,c_328]) ).
tcf(c_1400,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_572,c_327]) ).
tcf(c_1401,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_572,c_348]) ).
tcf(c_1402,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_572,c_323]) ).
tcf(c_1403,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_572,c_322]) ).
tcf(c_1404,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_572,c_339]) ).
tcf(c_1405,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_572,c_329]) ).
tcf(c_1472,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_651,c_319]) ).
tcf(c_1501,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_818,c_557]) ).
tcf(c_1502,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_818,c_545]) ).
tcf(c_1503,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_818,c_330]) ).
tcf(c_1504,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_818,c_332]) ).
tcf(c_1505,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_818,c_353]) ).
tcf(c_1506,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_818,c_328]) ).
tcf(c_1507,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_818,c_327]) ).
tcf(c_1508,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_818,c_348]) ).
tcf(c_1509,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_818,c_323]) ).
tcf(c_1510,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_818,c_322]) ).
tcf(c_1511,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_818,c_339]) ).
tcf(c_1513,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_17 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_818,c_329]) ).
tcf(c_1560,plain,
( iPr_def_12
| ( iPr_def_17 = iPr_def_18 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_1513,c_329,c_545,c_651,c_739,c_740,c_818,c_965]) ).
tcf(c_1561,plain,
( iPr_def_12
| iPr_def_10
| ( iPr_def_17 = iPr_def_18 ) ),
inference(renaming,[status(thm)],[c_1560]) ).
tcf(c_1585,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_887,c_572]) ).
tcf(c_1587,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_887,c_545]) ).
tcf(c_1588,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_887,c_330]) ).
tcf(c_1589,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_887,c_332]) ).
tcf(c_1590,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_887,c_353]) ).
tcf(c_1591,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_887,c_328]) ).
tcf(c_1592,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_887,c_327]) ).
tcf(c_1593,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_887,c_348]) ).
tcf(c_1594,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_887,c_323]) ).
tcf(c_1595,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_887,c_322]) ).
tcf(c_1596,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_887,c_339]) ).
tcf(c_1597,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_887,c_334]) ).
tcf(c_1598,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_887,c_329]) ).
tcf(c_1688,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_920,c_572]) ).
tcf(c_1689,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_920,c_557]) ).
tcf(c_1691,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_920,c_330]) ).
tcf(c_1692,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_920,c_332]) ).
tcf(c_1693,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_920,c_353]) ).
tcf(c_1694,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_920,c_328]) ).
tcf(c_1695,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_920,c_327]) ).
tcf(c_1696,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_920,c_348]) ).
tcf(c_1697,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_920,c_323]) ).
tcf(c_1698,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_920,c_322]) ).
tcf(c_1699,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_920,c_339]) ).
tcf(c_1701,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_19 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_920,c_329]) ).
tcf(c_1793,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_576]) ).
tcf(c_1794,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_350,c_576]) ).
tcf(c_1795,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_344,c_576]) ).
tcf(c_1796,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_343,c_576]) ).
tcf(c_1797,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_337,c_576]) ).
tcf(c_1798,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_336,c_576]) ).
tcf(c_1799,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_576,c_76]) ).
tcf(c_1800,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_21) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_576,c_333]) ).
tcf(c_1845,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_577]) ).
tcf(c_1846,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_350,c_577]) ).
tcf(c_1847,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_344,c_577]) ).
tcf(c_1848,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_343,c_577]) ).
tcf(c_1849,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_337,c_577]) ).
tcf(c_1850,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_336,c_577]) ).
tcf(c_1851,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_577,c_76]) ).
tcf(c_1852,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_19) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_577,c_333]) ).
tcf(c_1904,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_347,c_578]) ).
tcf(c_1905,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_346,c_578]) ).
tcf(c_1906,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_345,c_578]) ).
tcf(c_1907,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_341,c_578]) ).
tcf(c_1910,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_578,c_76]) ).
tcf(c_1954,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_347,c_579]) ).
tcf(c_1955,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_346,c_579]) ).
tcf(c_1956,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_345,c_579]) ).
tcf(c_1957,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_341,c_579]) ).
tcf(c_1960,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_579,c_76]) ).
tcf(c_2011,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_588,c_76]) ).
tcf(c_2019,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_589,c_76]) ).
tcf(c_2042,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_349,c_594]) ).
tcf(c_2043,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_342,c_594]) ).
tcf(c_2044,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_335,c_594]) ).
tcf(c_2045,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_594,c_76]) ).
tcf(c_2061,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_349,c_595]) ).
tcf(c_2062,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_342,c_595]) ).
tcf(c_2063,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_335,c_595]) ).
tcf(c_2064,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_595,c_76]) ).
tcf(c_2099,plain,
multiply(iPr_def_15,iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_328,c_1290]) ).
tcf(c_2100,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(multiply(sk_c1,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1290,c_76]) ).
tcf(c_2126,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2099,c_76]) ).
tcf(c_2128,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_322,c_1291]) ).
tcf(c_2129,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_588,c_1291]) ).
tcf(c_2130,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_589,c_1291]) ).
tcf(c_2131,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_14,multiply(multiply(sk_c4,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1291,c_76]) ).
tcf(c_2142,plain,
! [X0: $i] : multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2128,c_76]) ).
tcf(c_2160,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c6,
inference(superposition,[status(thm)],[c_325,c_1292]) ).
tcf(c_2161,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(sk_c3,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1292,c_76]) ).
tcf(c_2163,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2160,c_76]) ).
tcf(c_2165,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_327,c_1293]) ).
tcf(c_2166,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_20,multiply(multiply(sk_c2,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_1293,c_76]) ).
tcf(c_2185,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_2165,c_76]) ).
tcf(c_2195,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_887,c_596]) ).
tcf(c_2201,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_348,c_596]) ).
tcf(c_2204,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_596,c_76]) ).
tcf(c_2207,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2201,c_2128]) ).
tcf(c_2224,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_603,c_76]) ).
tcf(c_2225,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_603,c_1292]) ).
tcf(c_2226,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2225,c_2160]) ).
tcf(c_2238,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_604,c_76]) ).
tcf(c_2239,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_604,c_1292]) ).
tcf(c_2240,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c6 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2239,c_2160]) ).
tcf(c_2253,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_615]) ).
tcf(c_2254,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_350,c_615]) ).
tcf(c_2255,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_344,c_615]) ).
tcf(c_2256,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_343,c_615]) ).
tcf(c_2259,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_615,c_76]) ).
tcf(c_2260,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_615,c_333]) ).
tcf(c_2304,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_920,c_630]) ).
tcf(c_2305,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_887,c_630]) ).
tcf(c_2307,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_572,c_630]) ).
tcf(c_2310,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_353,c_630]) ).
tcf(c_2311,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_348,c_630]) ).
tcf(c_2314,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_630,c_76]) ).
tcf(c_2317,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2311,c_2128]) ).
tcf(c_2355,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_638,c_76]) ).
tcf(c_2356,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_638,c_1292]) ).
tcf(c_2357,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2356,c_2160]) ).
tcf(c_2376,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_639]) ).
tcf(c_2377,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_639]) ).
tcf(c_2378,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_347,c_639]) ).
tcf(c_2379,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_346,c_639]) ).
tcf(c_2380,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_345,c_639]) ).
tcf(c_2384,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_639,c_76]) ).
tcf(c_2441,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_652,c_76]) ).
tcf(c_2442,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_652,c_1292]) ).
tcf(c_2443,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2442,c_2160]) ).
tcf(c_2475,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_21 = iPr_def_22 )
| ( sk_c8 = iPr_def_14 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_616,c_329]) ).
tcf(c_2487,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_653]) ).
tcf(c_2488,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_653]) ).
tcf(c_2489,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_347,c_653]) ).
tcf(c_2490,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_346,c_653]) ).
tcf(c_2491,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_345,c_653]) ).
tcf(c_2495,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_653,c_76]) ).
tcf(c_2540,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_667]) ).
tcf(c_2541,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_350,c_667]) ).
tcf(c_2546,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_667,c_76]) ).
tcf(c_2547,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_667,c_333]) ).
tcf(c_2565,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_684]) ).
tcf(c_2566,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_350,c_684]) ).
tcf(c_2571,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_20 )
| ( multiply(iPr_def_22,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_684,c_76]) ).
tcf(c_2572,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_684,c_333]) ).
tcf(c_2599,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_351,c_701]) ).
tcf(c_2600,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_350,c_701]) ).
tcf(c_2605,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_701,c_76]) ).
tcf(c_2606,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_701,c_333]) ).
tcf(c_2641,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_19) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1502,c_2160]) ).
tcf(c_2642,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(sk_c3,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1502,c_1292]) ).
tcf(c_2644,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_17,sk_c3) = identity ) ),
inference(superposition,[status(thm)],[c_1502,c_770]) ).
tcf(c_2656,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_19) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_1688,c_2165]) ).
tcf(c_2704,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_349,c_718]) ).
tcf(c_2707,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_718,c_76]) ).
tcf(c_2708,plain,
( ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2704,c_2128]) ).
tcf(c_2731,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_719,c_76]) ).
tcf(c_2732,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_719,c_1291]) ).
tcf(c_2733,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2732,c_2128]) ).
tcf(c_2743,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_743,c_76]) ).
tcf(c_2744,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_743,c_1293]) ).
tcf(c_2753,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_744,c_76]) ).
tcf(c_2754,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_744,c_1293]) ).
tcf(c_2755,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_2754,c_2165]) ).
tcf(c_2765,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_745,c_76]) ).
tcf(c_2766,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_745,c_1293]) ).
tcf(c_2767,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_2766,c_2165]) ).
tcf(c_2777,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_752,c_76]) ).
tcf(c_2778,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_752,c_1290]) ).
tcf(c_2787,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_753,c_76]) ).
tcf(c_2788,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_753,c_1290]) ).
tcf(c_2797,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_754,c_76]) ).
tcf(c_2798,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_754,c_1290]) ).
tcf(c_2816,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2708,c_630]) ).
tcf(c_2817,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2708,c_596]) ).
tcf(c_2818,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_920]) ).
tcf(c_2819,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_887]) ).
tcf(c_2820,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_818]) ).
tcf(c_2821,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_572]) ).
tcf(c_2822,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_545]) ).
tcf(c_2823,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_17,multiply(X0,iPr_def_17)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2708,c_330]) ).
tcf(c_2824,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_17) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2708,c_332]) ).
tcf(c_2825,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_353]) ).
tcf(c_2826,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2708,c_328]) ).
tcf(c_2827,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2708,c_327]) ).
tcf(c_2828,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_348]) ).
tcf(c_2829,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_17,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2708,c_323]) ).
tcf(c_2830,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2708,c_322]) ).
tcf(c_2831,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2708,c_339]) ).
tcf(c_2833,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_13 )
| ( iPr_def_13 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2708,c_329]) ).
tcf(c_2926,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2825,c_2708]) ).
tcf(c_2927,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2825,c_630]) ).
tcf(c_2928,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2825,c_596]) ).
tcf(c_2929,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2825,c_572]) ).
tcf(c_2931,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2825,c_330]) ).
tcf(c_2932,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2825,c_332]) ).
tcf(c_2933,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2825,c_353]) ).
tcf(c_2934,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2825,c_328]) ).
tcf(c_2935,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2825,c_327]) ).
tcf(c_2936,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2825,c_348]) ).
tcf(c_2937,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2825,c_323]) ).
tcf(c_2938,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2825,c_322]) ).
tcf(c_2939,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2825,c_339]) ).
tcf(c_2940,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2825,c_334]) ).
tcf(c_2941,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_17 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_2825,c_329]) ).
tcf(c_3050,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_17 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2828,c_2708]) ).
tcf(c_3051,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2828,c_630]) ).
tcf(c_3052,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2828,c_596]) ).
tcf(c_3053,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2828,c_572]) ).
tcf(c_3054,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2828,c_545]) ).
tcf(c_3055,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2828,c_330]) ).
tcf(c_3056,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2828,c_332]) ).
tcf(c_3057,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2828,c_353]) ).
tcf(c_3058,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2828,c_328]) ).
tcf(c_3059,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2828,c_327]) ).
tcf(c_3060,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_14 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2828,c_348]) ).
tcf(c_3061,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2828,c_323]) ).
tcf(c_3062,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2828,c_322]) ).
tcf(c_3063,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2828,c_339]) ).
tcf(c_3064,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2828,c_334]) ).
tcf(c_3065,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_14 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2828,c_329]) ).
tcf(c_3175,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_17,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2708,c_777]) ).
tcf(c_3181,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_353,c_777]) ).
tcf(c_3185,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_777,c_76]) ).
tcf(c_3303,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_794,c_76]) ).
tcf(c_3304,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_794,c_1292]) ).
tcf(c_3305,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c6 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_3304,c_2160]) ).
tcf(c_3342,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_795]) ).
tcf(c_3343,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_795]) ).
tcf(c_3350,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c7,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_795,c_76]) ).
tcf(c_3363,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(iPr_def_19,X0) ) ),
inference(superposition,[status(thm)],[c_820,c_76]) ).
tcf(c_3364,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_820,c_1292]) ).
tcf(c_3365,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_3364,c_2160]) ).
tcf(c_3376,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_354,c_821]) ).
tcf(c_3377,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_352,c_821]) ).
tcf(c_3385,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c7,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_821,c_76]) ).
tcf(c_3407,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_842,c_76]) ).
tcf(c_3408,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_19) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_842,c_333]) ).
tcf(c_3449,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c1,multiply(iPr_def_20,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_885,c_76]) ).
tcf(c_3450,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_885,c_1290]) ).
tcf(c_3451,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_3450,c_2099]) ).
tcf(c_3461,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_886,c_76]) ).
tcf(c_3462,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_886,c_1293]) ).
tcf(c_3474,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_888,c_76]) ).
tcf(c_3521,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_889,c_76]) ).
tcf(c_3522,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_889,c_1291]) ).
tcf(c_3542,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_925,c_76]) ).
tcf(c_3543,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_21) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_925,c_333]) ).
tcf(c_3557,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1171,c_76]) ).
tcf(c_3558,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1171,c_1290]) ).
tcf(c_3569,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1172,c_76]) ).
tcf(c_3570,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1172,c_1293]) ).
tcf(c_3718,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1797,c_76]) ).
tcf(c_3727,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1798,c_76]) ).
tcf(c_3736,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1849,c_76]) ).
tcf(c_3766,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1850,c_76]) ).
tcf(c_3774,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2044,c_76]) ).
tcf(c_3782,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_3181,c_76]) ).
tcf(c_3791,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_3342,c_76]) ).
tcf(c_3799,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_3343,c_76]) ).
tcf(c_3837,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1174,c_76]) ).
tcf(c_3845,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1175,c_76]) ).
tcf(c_3846,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1175,c_1291]) ).
tcf(c_3853,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_22,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_651,c_1273]) ).
tcf(c_3873,plain,
! [X0: $i,X1: $i] : multiply(sk_c7,multiply(multiply(sk_c6,X0),X1)) = multiply(multiply(iPr_def_13,X0),X1),
inference(superposition,[status(thm)],[c_1273,c_76]) ).
tcf(c_3878,plain,
multiply(sk_c2,iPr_def_17) = multiply(iPr_def_21,sk_c5),
inference(superposition,[status(thm)],[c_323,c_1274]) ).
tcf(c_3879,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_17) = multiply(iPr_def_21,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_777,c_1274]) ).
tcf(c_3880,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_17) = multiply(iPr_def_21,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_630,c_1274]) ).
tcf(c_3881,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_17) = multiply(iPr_def_21,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_596,c_1274]) ).
tcf(c_3885,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_2828,c_1274]) ).
tcf(c_3886,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_2825,c_1274]) ).
tcf(c_3887,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_2708,c_1274]) ).
tcf(c_3888,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_920,c_1274]) ).
tcf(c_3889,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_887,c_1274]) ).
tcf(c_3890,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_818,c_1274]) ).
tcf(c_3891,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_572,c_1274]) ).
tcf(c_3897,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_21,X0),X1),
inference(superposition,[status(thm)],[c_1274,c_76]) ).
tcf(c_4048,plain,
! [X0: $i] : multiply(multiply(iPr_def_21,sk_c5),X0) = multiply(sk_c2,multiply(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_3878,c_76]) ).
tcf(c_4049,plain,
multiply(iPr_def_20,multiply(iPr_def_21,sk_c5)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3878,c_1293]) ).
tcf(c_4057,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_3376,c_76]) ).
tcf(c_4066,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_3377,c_76]) ).
tcf(c_4070,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c8 = iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_527,c_329,c_739,c_740,c_2733]) ).
tcf(c_4080,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_20 ) ),
inference(global_subsumption_just,[status(thm)],[c_559,c_329,c_739,c_740,c_891]) ).
tcf(c_4174,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(sk_c6,X0),X1)) = multiply(multiply(iPr_def_19,X0),X1),
inference(superposition,[status(thm)],[c_1275,c_76]) ).
tcf(c_4181,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2828,c_1276]) ).
tcf(c_4182,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2825,c_1276]) ).
tcf(c_4183,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2708,c_1276]) ).
tcf(c_4184,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_920,c_1276]) ).
tcf(c_4185,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_887,c_1276]) ).
tcf(c_4186,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_818,c_1276]) ).
tcf(c_4187,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_572,c_1276]) ).
tcf(c_4196,plain,
! [X0: $i,X1: $i] : multiply(sk_c8,multiply(multiply(sk_c5,X0),X1)) = multiply(multiply(iPr_def_17,X0),X1),
inference(superposition,[status(thm)],[c_1276,c_76]) ).
tcf(c_4197,plain,
( ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,sk_c8) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1276,c_330]) ).
tcf(c_4198,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(iPr_def_21,multiply(sk_c5,X0)),
inference(superposition,[status(thm)],[c_1276,c_1274]) ).
tcf(c_4270,plain,
multiply(sk_c4,iPr_def_17) = multiply(iPr_def_16,sk_c5),
inference(superposition,[status(thm)],[c_323,c_1277]) ).
tcf(c_4271,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_17) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_777,c_1277]) ).
tcf(c_4272,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_17) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_630,c_1277]) ).
tcf(c_4273,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_17) = multiply(iPr_def_16,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_596,c_1277]) ).
tcf(c_4274,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_16,multiply(sk_c5,X0)),
inference(superposition,[status(thm)],[c_1276,c_1277]) ).
tcf(c_4279,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2828,c_1277]) ).
tcf(c_4280,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2825,c_1277]) ).
tcf(c_4281,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,multiply(iPr_def_17,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2708,c_1277]) ).
tcf(c_4282,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_920,c_1277]) ).
tcf(c_4283,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_887,c_1277]) ).
tcf(c_4284,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_818,c_1277]) ).
tcf(c_4285,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_572,c_1277]) ).
tcf(c_4291,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1),
inference(superposition,[status(thm)],[c_1277,c_76]) ).
tcf(c_4355,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c5),X0) = multiply(sk_c4,multiply(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_4270,c_76]) ).
tcf(c_4356,plain,
multiply(iPr_def_14,multiply(iPr_def_16,sk_c5)) = iPr_def_17,
inference(superposition,[status(thm)],[c_4270,c_1291]) ).
tcf(c_4357,plain,
! [X0: $i] : multiply(multiply(iPr_def_16,sk_c5),X0) = multiply(iPr_def_16,multiply(sk_c5,X0)),
inference(light_normalisation,[status(thm)],[c_4355,c_4274]) ).
tcf(c_4358,plain,
multiply(sk_c1,iPr_def_17) = multiply(iPr_def_22,sk_c5),
inference(superposition,[status(thm)],[c_323,c_1278]) ).
tcf(c_4359,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_22,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_777,c_1278]) ).
tcf(c_4360,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_22,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_630,c_1278]) ).
tcf(c_4361,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_17) = multiply(iPr_def_22,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_596,c_1278]) ).
tcf(c_4362,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_22,multiply(sk_c5,X0)),
inference(superposition,[status(thm)],[c_1276,c_1278]) ).
tcf(c_4367,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2828,c_1278]) ).
tcf(c_4368,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2825,c_1278]) ).
tcf(c_4369,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2708,c_1278]) ).
tcf(c_4370,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_920,c_1278]) ).
tcf(c_4371,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_887,c_1278]) ).
tcf(c_4372,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_818,c_1278]) ).
tcf(c_4373,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_572,c_1278]) ).
tcf(c_4379,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(sk_c8,X0),X1)) = multiply(multiply(iPr_def_22,X0),X1),
inference(superposition,[status(thm)],[c_1278,c_76]) ).
tcf(c_4459,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c5),X0) = multiply(sk_c1,multiply(iPr_def_17,X0)),
inference(superposition,[status(thm)],[c_4358,c_76]) ).
tcf(c_4460,plain,
multiply(iPr_def_15,multiply(iPr_def_22,sk_c5)) = iPr_def_17,
inference(superposition,[status(thm)],[c_4358,c_1290]) ).
tcf(c_4461,plain,
! [X0: $i] : multiply(multiply(iPr_def_22,sk_c5),X0) = multiply(iPr_def_22,multiply(sk_c5,X0)),
inference(light_normalisation,[status(thm)],[c_4459,c_4362]) ).
tcf(c_4462,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_14 ) ),
inference(global_subsumption_just,[status(thm)],[c_722,c_329,c_722,c_739,c_740]) ).
tcf(c_4579,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1399,c_1290]) ).
tcf(c_4586,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1400,c_1293]) ).
tcf(c_4601,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1403,c_1291]) ).
tcf(c_4620,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1472,c_333]) ).
tcf(c_4630,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1506,c_1290]) ).
tcf(c_4637,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1507,c_1293]) ).
tcf(c_4693,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_1280,c_74]) ).
tcf(c_4698,plain,
multiply(inverse(sk_c7),iPr_def_13) = sk_c6,
inference(superposition,[status(thm)],[c_319,c_4693]) ).
tcf(c_4699,plain,
multiply(inverse(sk_c2),iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_327,c_4693]) ).
tcf(c_4700,plain,
multiply(inverse(sk_c3),iPr_def_19) = sk_c6,
inference(superposition,[status(thm)],[c_325,c_4693]) ).
tcf(c_4701,plain,
multiply(inverse(sk_c8),iPr_def_17) = sk_c5,
inference(superposition,[status(thm)],[c_323,c_4693]) ).
tcf(c_4702,plain,
multiply(inverse(sk_c4),iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_322,c_4693]) ).
tcf(c_4703,plain,
multiply(inverse(sk_c1),iPr_def_22) = sk_c8,
inference(superposition,[status(thm)],[c_328,c_4693]) ).
tcf(c_4704,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_74,c_4693]) ).
tcf(c_4705,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_75,c_4693]) ).
tcf(c_4706,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_76,c_4693]) ).
tcf(c_4707,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_21),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_925,c_4693]) ).
tcf(c_4708,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_576,c_4693]) ).
tcf(c_4709,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_19),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_842,c_4693]) ).
tcf(c_4710,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_577,c_4693]) ).
tcf(c_4711,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c7),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_821,c_4693]) ).
tcf(c_4712,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(sk_c7),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_653,c_4693]) ).
tcf(c_4713,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_578,c_4693]) ).
tcf(c_4714,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c7),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_795,c_4693]) ).
tcf(c_4715,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(sk_c7),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_639,c_4693]) ).
tcf(c_4716,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c7),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_579,c_4693]) ).
tcf(c_4717,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_889,c_4693]) ).
tcf(c_4718,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_588,c_4693]) ).
tcf(c_4719,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1403,c_4693]) ).
tcf(c_4720,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1175,c_4693]) ).
tcf(c_4721,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_589,c_4693]) ).
tcf(c_4722,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_20),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_888,c_4693]) ).
tcf(c_4723,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_594,c_4693]) ).
tcf(c_4724,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1402,c_4693]) ).
tcf(c_4725,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1174,c_4693]) ).
tcf(c_4726,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_595,c_4693]) ).
tcf(c_4727,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c8),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_777,c_4693]) ).
tcf(c_4728,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(sk_c8),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_630,c_4693]) ).
tcf(c_4729,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c8),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_596,c_4693]) ).
tcf(c_4730,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_820,c_4693]) ).
tcf(c_4731,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_652,c_4693]) ).
tcf(c_4732,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_603,c_4693]) ).
tcf(c_4733,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_794,c_4693]) ).
tcf(c_4734,plain,
( ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_638,c_4693]) ).
tcf(c_4735,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c3),iPr_def_19) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_604,c_4693]) ).
tcf(c_4736,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_1472,c_4693]) ).
tcf(c_4737,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_701,c_4693]) ).
tcf(c_4738,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_684,c_4693]) ).
tcf(c_4739,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_667,c_4693]) ).
tcf(c_4740,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_615,c_4693]) ).
tcf(c_4741,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_14),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_718,c_4693]) ).
tcf(c_4742,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_719,c_4693]) ).
tcf(c_4743,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_743,c_4693]) ).
tcf(c_4744,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_886,c_4693]) ).
tcf(c_4745,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_744,c_4693]) ).
tcf(c_4746,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1400,c_4693]) ).
tcf(c_4747,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1172,c_4693]) ).
tcf(c_4748,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_745,c_4693]) ).
tcf(c_4749,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_752,c_4693]) ).
tcf(c_4750,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_885,c_4693]) ).
tcf(c_4751,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_753,c_4693]) ).
tcf(c_4752,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1399,c_4693]) ).
tcf(c_4753,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1171,c_4693]) ).
tcf(c_4754,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_754,c_4693]) ).
tcf(c_4755,plain,
multiply(inverse(iPr_def_20),identity) = sk_c2,
inference(superposition,[status(thm)],[c_769,c_4693]) ).
tcf(c_4756,plain,
multiply(inverse(iPr_def_18),identity) = sk_c3,
inference(superposition,[status(thm)],[c_770,c_4693]) ).
tcf(c_4757,plain,
multiply(inverse(iPr_def_14),identity) = sk_c4,
inference(superposition,[status(thm)],[c_771,c_4693]) ).
tcf(c_4758,plain,
multiply(inverse(iPr_def_15),identity) = sk_c1,
inference(superposition,[status(thm)],[c_772,c_4693]) ).
tcf(c_4759,plain,
! [X0: $i] : multiply(inverse(sk_c7),multiply(iPr_def_13,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1273,c_4693]) ).
tcf(c_4760,plain,
! [X0: $i] : multiply(inverse(sk_c2),multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_1274,c_4693]) ).
tcf(c_4761,plain,
! [X0: $i] : multiply(inverse(sk_c3),multiply(iPr_def_19,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_1275,c_4693]) ).
tcf(c_4762,plain,
! [X0: $i] : multiply(inverse(sk_c8),multiply(iPr_def_17,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_1276,c_4693]) ).
tcf(c_4763,plain,
! [X0: $i] : multiply(inverse(sk_c4),multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_1277,c_4693]) ).
tcf(c_4764,plain,
! [X0: $i] : multiply(inverse(sk_c1),multiply(iPr_def_22,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_1278,c_4693]) ).
tcf(c_4766,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_1293,c_4693]) ).
tcf(c_4767,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_1292,c_4693]) ).
tcf(c_4768,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_1291,c_4693]) ).
tcf(c_4769,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_1290,c_4693]) ).
tcf(c_4770,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1506,c_4693]) ).
tcf(c_4771,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1507,c_4693]) ).
tcf(c_4772,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1509,c_4693]) ).
tcf(c_4773,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_21),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3376,c_4693]) ).
tcf(c_4774,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1797,c_4693]) ).
tcf(c_4775,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_21),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3342,c_4693]) ).
tcf(c_4776,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1798,c_4693]) ).
tcf(c_4777,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_19),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3377,c_4693]) ).
tcf(c_4778,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1849,c_4693]) ).
tcf(c_4779,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_19),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3343,c_4693]) ).
tcf(c_4780,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1850,c_4693]) ).
tcf(c_4781,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_20),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_3181,c_4693]) ).
tcf(c_4782,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2044,c_4693]) ).
tcf(c_4783,plain,
multiply(inverse(iPr_def_15),sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_2099,c_4693]) ).
tcf(c_4784,plain,
multiply(inverse(iPr_def_14),sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_2128,c_4693]) ).
tcf(c_4785,plain,
multiply(inverse(iPr_def_18),sk_c6) = iPr_def_19,
inference(superposition,[status(thm)],[c_2160,c_4693]) ).
tcf(c_4786,plain,
multiply(inverse(iPr_def_20),sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_2165,c_4693]) ).
tcf(c_4787,plain,
multiply(inverse(sk_c1),multiply(iPr_def_22,sk_c5)) = iPr_def_17,
inference(superposition,[status(thm)],[c_4358,c_4693]) ).
tcf(c_4788,plain,
multiply(inverse(sk_c2),multiply(iPr_def_21,sk_c5)) = iPr_def_17,
inference(superposition,[status(thm)],[c_3878,c_4693]) ).
tcf(c_4789,plain,
multiply(inverse(sk_c4),multiply(iPr_def_16,sk_c5)) = iPr_def_17,
inference(superposition,[status(thm)],[c_4270,c_4693]) ).
tcf(c_4790,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_4693,c_4693]) ).
tcf(c_4791,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(X0),multiply(multiply(X0,X1),X2)) = multiply(X1,X2),
inference(superposition,[status(thm)],[c_4693,c_76]) ).
tcf(c_5047,plain,
multiply(inverse(inverse(sk_c7)),sk_c6) = iPr_def_13,
inference(superposition,[status(thm)],[c_4698,c_4693]) ).
tcf(c_5053,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_2828,c_4701]) ).
tcf(c_5054,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_2825,c_4701]) ).
tcf(c_5055,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_17),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_2708,c_4701]) ).
tcf(c_5056,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_920,c_4701]) ).
tcf(c_5057,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_887,c_4701]) ).
tcf(c_5065,plain,
multiply(inverse(inverse(sk_c8)),sk_c5) = iPr_def_17,
inference(superposition,[status(thm)],[c_4701,c_4693]) ).
tcf(c_5078,plain,
( ~ iPr_def_12
| ( inverse(inverse(identity)) != sk_c8 )
| ( multiply(sk_c8,sk_c8) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4704,c_330]) ).
tcf(c_5079,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c8 )
| ( inverse(inverse(identity)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_4704,c_332]) ).
tcf(c_5080,plain,
! [X0: $i] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[status(thm)],[c_4704,c_4693]) ).
tcf(c_5082,plain,
( ~ iPr_def_10
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(identity)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4704,c_333]) ).
tcf(c_5094,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_4705,c_4790]) ).
tcf(c_5100,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(identity,X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5094,c_76]) ).
tcf(c_5101,plain,
! [X0: $i,X1: $i] : multiply(X0,multiply(X1,identity)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_5094,c_76]) ).
tcf(c_5102,plain,
multiply(sk_c3,sk_c6) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_5094,c_1275]) ).
tcf(c_5103,plain,
multiply(sk_c7,sk_c6) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_5094,c_1273]) ).
tcf(c_5104,plain,
multiply(sk_c1,sk_c8) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_5094,c_1278]) ).
tcf(c_5105,plain,
multiply(sk_c4,sk_c8) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_5094,c_1277]) ).
tcf(c_5106,plain,
multiply(sk_c2,sk_c8) = multiply(iPr_def_21,identity),
inference(superposition,[status(thm)],[c_5094,c_1274]) ).
tcf(c_5107,plain,
multiply(sk_c8,sk_c5) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_5094,c_1276]) ).
tcf(c_5112,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_5094,c_4704]) ).
tcf(c_5113,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_5107,c_323]) ).
tcf(c_5114,plain,
multiply(iPr_def_21,identity) = iPr_def_21,
inference(light_normalisation,[status(thm)],[c_5106,c_327]) ).
tcf(c_5115,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_5105,c_322]) ).
tcf(c_5116,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_5104,c_328]) ).
tcf(c_5117,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_5103,c_319]) ).
tcf(c_5118,plain,
multiply(iPr_def_19,identity) = iPr_def_19,
inference(light_normalisation,[status(thm)],[c_5102,c_325]) ).
tcf(c_5122,plain,
! [X0: $i] : multiply(identity,multiply(identity,X0)) = X0,
inference(superposition,[status(thm)],[c_5112,c_4693]) ).
tcf(c_5123,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_5112,c_75]) ).
tcf(c_5185,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1510,c_4693]) ).
tcf(c_5187,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1510,c_1291]) ).
tcf(c_5194,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1591,c_4693]) ).
tcf(c_5196,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1591,c_1290]) ).
tcf(c_5203,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1592,c_4693]) ).
tcf(c_5205,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1592,c_1293]) ).
tcf(c_5237,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1596,c_4701]) ).
tcf(c_5238,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1596,c_1278]) ).
tcf(c_5239,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1596,c_1277]) ).
tcf(c_5240,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1596,c_1276]) ).
tcf(c_5242,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1596,c_1274]) ).
tcf(c_5246,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1596,c_2828]) ).
tcf(c_5249,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1596,c_630]) ).
tcf(c_5252,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1596,c_887]) ).
tcf(c_5254,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1596,c_330]) ).
tcf(c_5255,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_1596,c_332]) ).
tcf(c_5257,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1596,c_328]) ).
tcf(c_5258,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1596,c_327]) ).
tcf(c_5259,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1596,c_348]) ).
tcf(c_5260,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1596,c_323]) ).
tcf(c_5261,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1596,c_322]) ).
tcf(c_5343,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1597,c_1596]) ).
tcf(c_5344,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1597,c_4701]) ).
tcf(c_5345,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_1597,c_1278]) ).
tcf(c_5346,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_1597,c_1277]) ).
tcf(c_5347,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1597,c_1276]) ).
tcf(c_5349,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_1597,c_1274]) ).
tcf(c_5353,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1597,c_2828]) ).
tcf(c_5355,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1597,c_2708]) ).
tcf(c_5356,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1597,c_630]) ).
tcf(c_5359,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1597,c_887]) ).
tcf(c_5361,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1597,c_572]) ).
tcf(c_5362,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1597,c_545]) ).
tcf(c_5363,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_14,multiply(X0,iPr_def_14)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1597,c_330]) ).
tcf(c_5364,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_14) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_1597,c_332]) ).
tcf(c_5365,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1597,c_353]) ).
tcf(c_5366,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1597,c_328]) ).
tcf(c_5367,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1597,c_327]) ).
tcf(c_5368,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1597,c_323]) ).
tcf(c_5369,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1597,c_322]) ).
tcf(c_5370,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1597,c_339]) ).
tcf(c_5371,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1597,c_334]) ).
tcf(c_5421,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5356,c_2128]) ).
tcf(c_5515,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 != iPr_def_17 ) ),
inference(global_subsumption_just,[status(thm)],[c_2833,c_329,c_739,c_740,c_2833]) ).
tcf(c_5531,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1595,c_4693]) ).
tcf(c_5533,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1595,c_1291]) ).
tcf(c_5540,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1694,c_4693]) ).
tcf(c_5542,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1694,c_1290]) ).
tcf(c_5549,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1695,c_4693]) ).
tcf(c_5551,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1695,c_1293]) ).
tcf(c_5588,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_2939,c_4701]) ).
tcf(c_5589,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2939,c_1278]) ).
tcf(c_5590,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2939,c_1277]) ).
tcf(c_5591,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2939,c_1276]) ).
tcf(c_5593,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_2939,c_1274]) ).
tcf(c_5597,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2939,c_2828]) ).
tcf(c_5598,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2939,c_2825]) ).
tcf(c_5599,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2939,c_2708]) ).
tcf(c_5600,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2939,c_630]) ).
tcf(c_5604,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2939,c_818]) ).
tcf(c_5605,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2939,c_330]) ).
tcf(c_5606,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2939,c_332]) ).
tcf(c_5607,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2939,c_353]) ).
tcf(c_5608,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2939,c_328]) ).
tcf(c_5609,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2939,c_327]) ).
tcf(c_5610,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2939,c_348]) ).
tcf(c_5611,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2939,c_323]) ).
tcf(c_5612,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2939,c_322]) ).
tcf(c_5613,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_15 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2939,c_339]) ).
tcf(c_5778,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2940,c_2939]) ).
tcf(c_5780,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_2940,c_4701]) ).
tcf(c_5781,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_2940,c_1278]) ).
tcf(c_5782,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_2940,c_1277]) ).
tcf(c_5783,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2940,c_1276]) ).
tcf(c_5785,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_2940,c_1274]) ).
tcf(c_5788,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2940,c_777]) ).
tcf(c_5789,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2940,c_2828]) ).
tcf(c_5790,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2940,c_2825]) ).
tcf(c_5791,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2940,c_2708]) ).
tcf(c_5792,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2940,c_630]) ).
tcf(c_5793,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2940,c_596]) ).
tcf(c_5797,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2940,c_572]) ).
tcf(c_5798,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2940,c_545]) ).
tcf(c_5799,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_14,multiply(X0,iPr_def_14)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2940,c_330]) ).
tcf(c_5800,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_14) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_2940,c_332]) ).
tcf(c_5802,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_2940,c_328]) ).
tcf(c_5803,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_2940,c_327]) ).
tcf(c_5804,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2940,c_323]) ).
tcf(c_5805,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2940,c_322]) ).
tcf(c_5807,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2940,c_334]) ).
tcf(c_5851,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5793,c_2128]) ).
tcf(c_5856,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_5792,c_2128]) ).
tcf(c_5961,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3063,c_2940]) ).
tcf(c_5962,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3063,c_1597]) ).
tcf(c_5963,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_3063,c_4701]) ).
tcf(c_5964,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_3063,c_1278]) ).
tcf(c_5965,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_3063,c_1277]) ).
tcf(c_5966,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_3063,c_1276]) ).
tcf(c_5968,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_3063,c_1274]) ).
tcf(c_5972,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3063,c_2828]) ).
tcf(c_5975,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3063,c_630]) ).
tcf(c_5980,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_3063,c_330]) ).
tcf(c_5981,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_3063,c_332]) ).
tcf(c_5983,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3063,c_328]) ).
tcf(c_5984,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3063,c_327]) ).
tcf(c_5985,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3063,c_348]) ).
tcf(c_5986,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3063,c_323]) ).
tcf(c_5987,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_3063,c_322]) ).
tcf(c_6077,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3064,c_3063]) ).
tcf(c_6080,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(iPr_def_14),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_3064,c_4701]) ).
tcf(c_6081,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_3064,c_1278]) ).
tcf(c_6082,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_3064,c_1277]) ).
tcf(c_6083,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_3064,c_1276]) ).
tcf(c_6085,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_3064,c_1274]) ).
tcf(c_6089,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3064,c_2828]) ).
tcf(c_6091,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3064,c_2708]) ).
tcf(c_6092,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3064,c_630]) ).
tcf(c_6093,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3064,c_596]) ).
tcf(c_6097,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3064,c_572]) ).
tcf(c_6098,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3064,c_545]) ).
tcf(c_6099,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_14,multiply(X0,iPr_def_14)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_3064,c_330]) ).
tcf(c_6100,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_14) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_3064,c_332]) ).
tcf(c_6102,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_3064,c_328]) ).
tcf(c_6103,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_3064,c_327]) ).
tcf(c_6104,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3064,c_323]) ).
tcf(c_6105,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_3064,c_322]) ).
tcf(c_6106,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3064,c_339]) ).
tcf(c_6107,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3064,c_334]) ).
tcf(c_6150,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_6093,c_2128]) ).
tcf(c_6155,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_6092,c_2128]) ).
tcf(c_6243,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1698,c_4693]) ).
tcf(c_6245,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_1698,c_1291]) ).
tcf(c_6248,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c8,sk_c6) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1472,c_2126]) ).
tcf(c_6249,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,sk_c6) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_701,c_2126]) ).
tcf(c_6250,plain,
( ( sk_c8 = iPr_def_20 )
| ( multiply(sk_c8,sk_c6) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_684,c_2126]) ).
tcf(c_6251,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,sk_c6) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_667,c_2126]) ).
tcf(c_6252,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c8,sk_c6) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_615,c_2126]) ).
tcf(c_6253,plain,
multiply(sk_c8,identity) = multiply(iPr_def_15,iPr_def_22),
inference(superposition,[status(thm)],[c_5094,c_2126]) ).
tcf(c_6254,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),multiply(sk_c8,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_2126,c_4693]) ).
tcf(c_6255,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_15,multiply(multiply(iPr_def_22,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_2126,c_76]) ).
tcf(c_6256,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_6253,c_2099]) ).
tcf(c_6269,plain,
multiply(sk_c8,identity) = multiply(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_5094,c_2142]) ).
tcf(c_6270,plain,
! [X0: $i] : multiply(inverse(iPr_def_14),multiply(sk_c8,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_2142,c_4693]) ).
tcf(c_6271,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_14,multiply(multiply(iPr_def_16,X0),X1)) = multiply(multiply(sk_c8,X0),X1),
inference(superposition,[status(thm)],[c_2142,c_76]) ).
tcf(c_6275,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_17,multiply(iPr_def_19,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_1502,c_2163]) ).
tcf(c_6276,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c6,sk_c6) = multiply(iPr_def_18,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_842,c_2163]) ).
tcf(c_6277,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c6,sk_c6) = multiply(iPr_def_18,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_577,c_2163]) ).
tcf(c_6278,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_18,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_3377,c_2163]) ).
tcf(c_6279,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_18) = multiply(iPr_def_18,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1849,c_2163]) ).
tcf(c_6280,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c6,iPr_def_17) = multiply(iPr_def_18,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_3343,c_2163]) ).
tcf(c_6281,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_17) = multiply(iPr_def_18,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1850,c_2163]) ).
tcf(c_6282,plain,
multiply(sk_c6,identity) = multiply(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_5094,c_2163]) ).
tcf(c_6283,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),multiply(sk_c6,X0)) = multiply(iPr_def_19,X0),
inference(superposition,[status(thm)],[c_2163,c_4693]) ).
tcf(c_6284,plain,
! [X0: $i,X1: $i] : multiply(iPr_def_18,multiply(multiply(iPr_def_19,X0),X1)) = multiply(multiply(sk_c6,X0),X1),
inference(superposition,[status(thm)],[c_2163,c_76]) ).
tcf(c_6285,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_6282,c_2160]) ).
tcf(c_6395,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c2,sk_c8)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4766,c_330]) ).
tcf(c_6396,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c2,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4766,c_332]) ).
tcf(c_6397,plain,
multiply(sk_c2,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_4766,c_75]) ).
tcf(c_6398,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_20)),multiply(sk_c2,X0)) = X0,
inference(superposition,[status(thm)],[c_4766,c_4693]) ).
tcf(c_6399,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_20),multiply(X0,X1)) = multiply(multiply(sk_c2,X0),X1),
inference(superposition,[status(thm)],[c_4766,c_76]) ).
tcf(c_6400,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_20)) != sk_c6 )
| ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4766,c_333]) ).
tcf(c_6401,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_4766,c_4693]) ).
tcf(c_6402,plain,
multiply(sk_c2,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_4766,c_5094]) ).
tcf(c_6406,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( inverse(inverse(iPr_def_20)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_6396,c_327]) ).
tcf(c_6410,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_20)) != sk_c8 )
| ( multiply(sk_c8,iPr_def_21) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_6395,c_327]) ).
tcf(c_6414,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_886,c_6397]) ).
tcf(c_6415,plain,
( ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_744,c_6397]) ).
tcf(c_6423,plain,
multiply(inverse(sk_c2),identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_6397,c_4693]) ).
tcf(c_6424,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_6397,c_76]) ).
tcf(c_6425,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(superposition,[status(thm)],[c_6397,c_1293]) ).
tcf(c_6428,plain,
inverse(iPr_def_20) = sk_c2,
inference(demodulation,[status(thm)],[c_6402,c_5094]) ).
tcf(c_6432,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_888,c_6401]) ).
tcf(c_6433,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_594,c_6401]) ).
tcf(c_6434,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_769,c_6401]) ).
tcf(c_6435,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_3181,c_6401]) ).
tcf(c_6436,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2044,c_6401]) ).
tcf(c_6437,plain,
multiply(sk_c2,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_2165,c_6401]) ).
tcf(c_6439,plain,
! [X0: $i] : multiply(inverse(sk_c2),X0) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_6401,c_4693]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i] : multiply(sk_c2,multiply(multiply(iPr_def_20,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_6401,c_76]) ).
tcf(c_6442,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c5) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6436,c_3878]) ).
tcf(c_6445,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,sk_c5) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_6435,c_3878]) ).
tcf(c_6448,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_6433,c_3878]) ).
tcf(c_6451,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_6432,c_3878]) ).
tcf(c_6496,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_5370,c_887]) ).
tcf(c_6512,plain,
( ~ iPr_def_11
| ( sk_c8 != identity )
| ( sk_c7 != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_956,c_5112]) ).
tcf(c_6530,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_651,c_6512]) ).
tcf(c_6531,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_354,c_6512]) ).
tcf(c_6532,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_352,c_6512]) ).
tcf(c_6533,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_347,c_6512]) ).
tcf(c_6534,plain,
( ( sk_c8 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_346,c_6512]) ).
tcf(c_6535,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_345,c_6512]) ).
tcf(c_6536,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_341,c_6512]) ).
tcf(c_6537,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_21 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_340,c_6512]) ).
tcf(c_6538,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_19 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_338,c_6512]) ).
tcf(c_6598,plain,
( ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c7 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1024,c_5112]) ).
tcf(c_6614,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c7 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_351,c_6598]) ).
tcf(c_6615,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c7 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_350,c_6598]) ).
tcf(c_6616,plain,
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c7 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_344,c_6598]) ).
tcf(c_6617,plain,
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c7 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_343,c_6598]) ).
tcf(c_6618,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c7 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_337,c_6598]) ).
tcf(c_6619,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c6 != identity )
| ( sk_c7 != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_336,c_6598]) ).
tcf(c_6650,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3064,c_957]) ).
tcf(c_6651,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3063,c_957]) ).
tcf(c_6652,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2940,c_957]) ).
tcf(c_6653,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2939,c_957]) ).
tcf(c_6655,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1596,c_957]) ).
tcf(c_6660,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2828,c_957]) ).
tcf(c_6661,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2825,c_957]) ).
tcf(c_6663,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_920,c_957]) ).
tcf(c_6664,plain,
( ( iPr_def_14 = iPr_def_20 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_887,c_957]) ).
tcf(c_6665,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_818,c_957]) ).
tcf(c_6666,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_572,c_957]) ).
tcf(c_6667,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_545,c_957]) ).
tcf(c_6668,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_353,c_957]) ).
tcf(c_6670,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_339,c_957]) ).
tcf(c_6671,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_334,c_957]) ).
tcf(c_6676,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_11
| ( sk_c7 != identity ) ),
inference(ground_joinability,[status(thm)],[c_6670,c_326,c_6428]) ).
tcf(c_6684,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_11
| ( sk_c7 != identity ) ),
inference(ground_joinability,[status(thm)],[c_6668,c_326,c_6428]) ).
tcf(c_6800,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_18)) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_351,c_1025]) ).
tcf(c_6801,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_350,c_1025]) ).
tcf(c_6802,plain,
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_18)) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_344,c_1025]) ).
tcf(c_6803,plain,
( ( sk_c7 = iPr_def_22 )
| ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_343,c_1025]) ).
tcf(c_6804,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_18)) != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_337,c_1025]) ).
tcf(c_6805,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_17)) != iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_336,c_1025]) ).
tcf(c_6851,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6414,c_957]) ).
tcf(c_6858,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_6414,c_4701]) ).
tcf(c_6859,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6414,c_1278]) ).
tcf(c_6860,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_6414,c_1277]) ).
tcf(c_6861,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6414,c_1276]) ).
tcf(c_6863,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6414,c_1274]) ).
tcf(c_6869,plain,
( ( identity = iPr_def_21 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6414,c_630]) ).
tcf(c_6873,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_6414,c_330]) ).
tcf(c_6874,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_6414,c_332]) ).
tcf(c_6876,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6414,c_328]) ).
tcf(c_6877,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6414,c_327]) ).
tcf(c_6879,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6414,c_323]) ).
tcf(c_6880,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6414,c_322]) ).
tcf(c_6882,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_21 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6414,c_334]) ).
tcf(c_6883,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6414,c_329]) ).
tcf(c_6985,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6415,c_6414]) ).
tcf(c_6986,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6415,c_957]) ).
tcf(c_6990,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_6415,c_4701]) ).
tcf(c_6991,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_6415,c_1278]) ).
tcf(c_6992,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_6415,c_1277]) ).
tcf(c_6993,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6415,c_1276]) ).
tcf(c_6995,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_6415,c_1274]) ).
tcf(c_7002,plain,
( ( identity = iPr_def_21 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6415,c_630]) ).
tcf(c_7007,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_6415,c_330]) ).
tcf(c_7008,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_6415,c_332]) ).
tcf(c_7010,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6415,c_328]) ).
tcf(c_7011,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6415,c_327]) ).
tcf(c_7013,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6415,c_323]) ).
tcf(c_7014,plain,
( ( identity = iPr_def_21 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6415,c_322]) ).
tcf(c_7129,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,sk_c6) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_925,c_2185]) ).
tcf(c_7130,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c8,sk_c6) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_576,c_2185]) ).
tcf(c_7131,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_3376,c_2185]) ).
tcf(c_7132,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1797,c_2185]) ).
tcf(c_7133,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_3342,c_2185]) ).
tcf(c_7134,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_20,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1798,c_2185]) ).
tcf(c_7135,plain,
multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_5094,c_2185]) ).
tcf(c_7136,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_19,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_1688,c_2185]) ).
tcf(c_7137,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),multiply(sk_c8,X0)) = multiply(iPr_def_21,X0),
inference(superposition,[status(thm)],[c_2185,c_4693]) ).
tcf(c_7138,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_2185,c_76]) ).
tcf(c_7183,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,sk_c5) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2826,c_4358]) ).
tcf(c_7190,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_349,c_7183]) ).
tcf(c_7191,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,iPr_def_16) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_342,c_7183]) ).
tcf(c_7193,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_22),iPr_def_22) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_7183,c_4693]) ).
tcf(c_7194,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,multiply(sk_c5,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_7183,c_76]) ).
tcf(c_7195,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,sk_c5) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_7183,c_2126]) ).
tcf(c_7282,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_6496,c_2185]) ).
tcf(c_7283,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_14,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6496,c_6401]) ).
tcf(c_7284,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_14) = sk_c2 ) ),
inference(superposition,[status(thm)],[c_6496,c_6428]) ).
tcf(c_7285,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_14) = identity ) ),
inference(superposition,[status(thm)],[c_6496,c_6397]) ).
tcf(c_7286,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 = iPr_def_15 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6496,c_4080]) ).
tcf(c_7287,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6496,c_3181]) ).
tcf(c_7288,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6496,c_2044]) ).
tcf(c_7292,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_6496,c_753]) ).
tcf(c_7293,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_21) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_6496,c_2165]) ).
tcf(c_7294,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c2,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_6496,c_1293]) ).
tcf(c_7295,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6496,c_594]) ).
tcf(c_7296,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_6496,c_588]) ).
tcf(c_7297,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_14,sk_c2) = identity ) ),
inference(superposition,[status(thm)],[c_6496,c_769]) ).
tcf(c_7324,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_7288,c_2128]) ).
tcf(c_7363,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_21) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6985,c_5112]) ).
tcf(c_7364,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(X0,iPr_def_21) = X0 ) ),
inference(superposition,[status(thm)],[c_6985,c_5094]) ).
tcf(c_7365,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_6985,c_74]) ).
tcf(c_7415,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_22),iPr_def_22) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_7190,c_4693]) ).
tcf(c_7416,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_22,multiply(iPr_def_16,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_7190,c_76]) ).
tcf(c_7417,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_15,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_7190,c_2126]) ).
tcf(c_7420,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_7417,c_2099]) ).
tcf(c_7441,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = multiply(iPr_def_21,sk_c6) ) ),
inference(superposition,[status(thm)],[c_5094,c_1799]) ).
tcf(c_7450,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_344,c_1799]) ).
tcf(c_7451,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_343,c_1799]) ).
tcf(c_7454,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_21),multiply(iPr_def_13,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_1799,c_4693]) ).
tcf(c_7455,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(multiply(sk_c6,X0),X1)) = multiply(multiply(iPr_def_13,X0),X1) ) ),
inference(superposition,[status(thm)],[c_1799,c_76]) ).
tcf(c_7456,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c8,multiply(sk_c6,X0)) = multiply(iPr_def_20,multiply(iPr_def_13,X0)) ) ),
inference(superposition,[status(thm)],[c_1799,c_2185]) ).
tcf(c_7509,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,sk_c5) = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_2827,c_3878]) ).
tcf(c_7516,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,sk_c5) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1688,c_7509]) ).
tcf(c_7517,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_349,c_7509]) ).
tcf(c_7518,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_342,c_7509]) ).
tcf(c_7520,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_21),iPr_def_21) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_7509,c_4693]) ).
tcf(c_7521,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_7509,c_76]) ).
tcf(c_7522,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,sk_c5) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7509,c_2185]) ).
tcf(c_7546,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,sk_c5) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_2830,c_4270]) ).
tcf(c_7553,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_349,c_7546]) ).
tcf(c_7554,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_16,iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_342,c_7546]) ).
tcf(c_7556,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_16),iPr_def_16) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_7546,c_4693]) ).
tcf(c_7557,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,multiply(sk_c5,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7546,c_76]) ).
tcf(c_7558,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,sk_c5) = multiply(iPr_def_14,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_7546,c_2142]) ).
tcf(c_7574,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2934,c_4693]) ).
tcf(c_7576,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2934,c_1290]) ).
tcf(c_7582,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(inverse(iPr_def_17),X0) = multiply(sk_c3,X0) ) ),
inference(superposition,[status(thm)],[c_1502,c_4767]) ).
tcf(c_7583,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c3,sk_c8)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4767,c_330]) ).
tcf(c_7584,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_18)) != sk_c8 )
| ( multiply(sk_c3,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4767,c_332]) ).
tcf(c_7585,plain,
multiply(sk_c3,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_4767,c_75]) ).
tcf(c_7586,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_18)),multiply(sk_c3,X0)) = X0,
inference(superposition,[status(thm)],[c_4767,c_4693]) ).
tcf(c_7587,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_18),multiply(X0,X1)) = multiply(multiply(sk_c3,X0),X1),
inference(superposition,[status(thm)],[c_4767,c_76]) ).
tcf(c_7588,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_18)) != sk_c6 )
| ( multiply(sk_c3,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4767,c_333]) ).
tcf(c_7589,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_4767,c_4693]) ).
tcf(c_7590,plain,
multiply(sk_c3,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_4767,c_5094]) ).
tcf(c_7593,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_19 )
| ( inverse(inverse(iPr_def_18)) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_7588,c_325]) ).
tcf(c_7603,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_820,c_7585]) ).
tcf(c_7604,plain,
( ( identity = iPr_def_19 )
| ( sk_c7 = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_652,c_7585]) ).
tcf(c_7605,plain,
( ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_603,c_7585]) ).
tcf(c_7687,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_17) = identity ) ),
inference(superposition,[status(thm)],[c_1502,c_7585]) ).
tcf(c_7688,plain,
multiply(inverse(sk_c3),identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_7585,c_4693]) ).
tcf(c_7689,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_18,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_7585,c_76]) ).
tcf(c_7690,plain,
multiply(iPr_def_18,identity) = iPr_def_18,
inference(superposition,[status(thm)],[c_7585,c_1292]) ).
tcf(c_7695,plain,
inverse(iPr_def_18) = sk_c3,
inference(demodulation,[status(thm)],[c_7590,c_5094]) ).
tcf(c_7697,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_17) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_1502,c_7695]) ).
tcf(c_7702,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_770,c_7589]) ).
tcf(c_7703,plain,
multiply(sk_c3,sk_c6) = iPr_def_19,
inference(superposition,[status(thm)],[c_2160,c_7589]) ).
tcf(c_7706,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c3,multiply(iPr_def_17,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_1502,c_7589]) ).
tcf(c_7707,plain,
! [X0: $i] : multiply(inverse(sk_c3),X0) = multiply(iPr_def_18,X0),
inference(superposition,[status(thm)],[c_7589,c_4693]) ).
tcf(c_7708,plain,
! [X0: $i,X1: $i] : multiply(sk_c3,multiply(multiply(iPr_def_18,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_7589,c_76]) ).
tcf(c_7718,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_16) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1688,c_7517]) ).
tcf(c_7719,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_21),iPr_def_21) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_7517,c_4693]) ).
tcf(c_7720,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_21,multiply(iPr_def_16,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_7517,c_76]) ).
tcf(c_7721,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_20,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_7517,c_2185]) ).
tcf(c_7735,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(inverse(iPr_def_16),iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_7553,c_4693]) ).
tcf(c_7736,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7553,c_76]) ).
tcf(c_7737,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c8,iPr_def_16) = multiply(iPr_def_14,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_7553,c_2142]) ).
tcf(c_7751,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1904,c_4693]) ).
tcf(c_7752,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1904,c_76]) ).
tcf(c_7753,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1904,c_2126]) ).
tcf(c_7788,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_1906,c_4693]) ).
tcf(c_7789,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1906,c_76]) ).
tcf(c_7790,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1906,c_2126]) ).
tcf(c_7809,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1954,c_4693]) ).
tcf(c_7810,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1954,c_76]) ).
tcf(c_7811,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1954,c_2126]) ).
tcf(c_7828,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,identity) = multiply(iPr_def_19,sk_c6) ) ),
inference(superposition,[status(thm)],[c_5094,c_1851]) ).
tcf(c_7837,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_19,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_344,c_1851]) ).
tcf(c_7838,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_19,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_343,c_1851]) ).
tcf(c_7841,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_19),multiply(iPr_def_13,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_1851,c_4693]) ).
tcf(c_7842,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(multiply(sk_c6,X0),X1)) = multiply(multiply(iPr_def_13,X0),X1) ) ),
inference(superposition,[status(thm)],[c_1851,c_76]) ).
tcf(c_7843,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c6,multiply(sk_c6,X0)) = multiply(iPr_def_18,multiply(iPr_def_13,X0)) ) ),
inference(superposition,[status(thm)],[c_1851,c_2163]) ).
tcf(c_7919,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7603,c_957]) ).
tcf(c_7925,plain,
( ( identity = iPr_def_19 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_7603,c_4701]) ).
tcf(c_7926,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_7603,c_1278]) ).
tcf(c_7927,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7603,c_1277]) ).
tcf(c_7928,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_7603,c_1276]) ).
tcf(c_7930,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_7603,c_1274]) ).
tcf(c_7940,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7603,c_330]) ).
tcf(c_7941,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_7603,c_332]) ).
tcf(c_7943,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7603,c_328]) ).
tcf(c_7944,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7603,c_327]) ).
tcf(c_7946,plain,
( ( identity = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7603,c_323]) ).
tcf(c_7947,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_7603,c_322]) ).
tcf(c_7949,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_19 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_7603,c_334]) ).
tcf(c_7950,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_7603,c_329]) ).
tcf(c_8039,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_10
| ( sk_c7 != iPr_def_13 )
| ( inverse(iPr_def_22) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7604,c_1022]) ).
tcf(c_8040,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c8 != iPr_def_22 )
| ( sk_c8 != identity ) ),
inference(superposition,[status(thm)],[c_7604,c_6512]) ).
tcf(c_8041,plain,
( ( identity = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_7604,c_4698]) ).
tcf(c_8048,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_7604,c_1273]) ).
tcf(c_8059,plain,
( ( identity = iPr_def_19 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_7604,c_319]) ).
tcf(c_8105,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_7605,c_7603]) ).
tcf(c_8108,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7605,c_957]) ).
tcf(c_8111,plain,
( ( identity = iPr_def_19 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_7605,c_4701]) ).
tcf(c_8112,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_7605,c_1278]) ).
tcf(c_8113,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_7605,c_1277]) ).
tcf(c_8114,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_7605,c_1276]) ).
tcf(c_8116,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_7605,c_1274]) ).
tcf(c_8128,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7605,c_330]) ).
tcf(c_8129,plain,
! [X0: $i] :
( ( identity = iPr_def_19 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_7605,c_332]) ).
tcf(c_8131,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7605,c_328]) ).
tcf(c_8132,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7605,c_327]) ).
tcf(c_8134,plain,
( ( identity = iPr_def_19 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_7605,c_323]) ).
tcf(c_8135,plain,
( ( identity = iPr_def_19 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_7605,c_322]) ).
tcf(c_8253,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2935,c_4693]) ).
tcf(c_8255,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2935,c_1293]) ).
tcf(c_8274,plain,
( iPr_def_12
| ( identity = iPr_def_19 )
| iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_7950,c_329,c_739,c_740,c_965,c_7605,c_7604,c_7603]) ).
tcf(c_8275,plain,
( iPr_def_12
| iPr_def_10
| ( identity = iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_8274]) ).
tcf(c_8294,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_19) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_8105,c_5112]) ).
tcf(c_8295,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(X0,iPr_def_19) = X0 ) ),
inference(superposition,[status(thm)],[c_8105,c_5094]) ).
tcf(c_8296,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_8105,c_74]) ).
tcf(c_8308,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_14)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c4,sk_c8)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4768,c_330]) ).
tcf(c_8309,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_14)) != sk_c8 )
| ( multiply(sk_c4,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4768,c_332]) ).
tcf(c_8310,plain,
multiply(sk_c4,iPr_def_14) = identity,
inference(superposition,[status(thm)],[c_4768,c_75]) ).
tcf(c_8311,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_14)),multiply(sk_c4,X0)) = X0,
inference(superposition,[status(thm)],[c_4768,c_4693]) ).
tcf(c_8312,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_14),multiply(X0,X1)) = multiply(multiply(sk_c4,X0),X1),
inference(superposition,[status(thm)],[c_4768,c_76]) ).
tcf(c_8313,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_14)) != sk_c6 )
| ( multiply(sk_c4,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4768,c_333]) ).
tcf(c_8314,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_14,X0)) = X0,
inference(superposition,[status(thm)],[c_4768,c_4693]) ).
tcf(c_8315,plain,
multiply(sk_c4,identity) = inverse(iPr_def_14),
inference(superposition,[status(thm)],[c_4768,c_5094]) ).
tcf(c_8319,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_16 )
| ( inverse(inverse(iPr_def_14)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_8309,c_322]) ).
tcf(c_8323,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_14)) != sk_c8 )
| ( multiply(sk_c8,iPr_def_16) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_8308,c_322]) ).
tcf(c_8327,plain,
( ( identity = iPr_def_16 )
| ( sk_c8 = iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_719,c_8310]) ).
tcf(c_8351,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1956,c_4693]) ).
tcf(c_8352,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_1956,c_76]) ).
tcf(c_8353,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_1956,c_2126]) ).
tcf(c_8420,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2062,c_4693]) ).
tcf(c_8421,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_2062,c_76]) ).
tcf(c_8474,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,identity) = multiply(iPr_def_13,sk_c3) ) ),
inference(superposition,[status(thm)],[c_770,c_1910]) ).
tcf(c_8475,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(sk_c3,X0)) = multiply(sk_c7,X0) ) ),
inference(superposition,[status(thm)],[c_1292,c_1910]) ).
tcf(c_8476,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,sk_c6) = multiply(iPr_def_13,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_2160,c_1910]) ).
tcf(c_8477,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,multiply(sk_c6,X0)) = multiply(iPr_def_13,multiply(iPr_def_19,X0)) ) ),
inference(superposition,[status(thm)],[c_2163,c_1910]) ).
tcf(c_8478,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_18) = multiply(iPr_def_13,identity) ) ),
inference(superposition,[status(thm)],[c_5094,c_1910]) ).
tcf(c_8480,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_13,X0)) = multiply(iPr_def_18,X0) ) ),
inference(superposition,[status(thm)],[c_1910,c_4693]) ).
tcf(c_8481,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_18,X0),X1)) = multiply(multiply(iPr_def_13,X0),X1) ) ),
inference(superposition,[status(thm)],[c_1910,c_76]) ).
tcf(c_8484,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_19) = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_8476,c_319]) ).
tcf(c_8491,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_18,X0) ) ),
inference(light_normalisation,[status(thm)],[c_8480,c_4759]) ).
tcf(c_8494,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,multiply(iPr_def_19,X0)) = multiply(iPr_def_13,X0) ) ),
inference(light_normalisation,[status(thm)],[c_8477,c_1273]) ).
tcf(c_8536,plain,
multiply(inverse(sk_c4),identity) = iPr_def_14,
inference(superposition,[status(thm)],[c_8310,c_4693]) ).
tcf(c_8537,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_8310,c_76]) ).
tcf(c_8538,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(superposition,[status(thm)],[c_8310,c_1291]) ).
tcf(c_8566,plain,
( ( identity = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8327,c_957]) ).
tcf(c_8572,plain,
( ( identity = iPr_def_16 )
| ( multiply(inverse(iPr_def_13),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_8327,c_4701]) ).
tcf(c_8573,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_13,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_8327,c_1278]) ).
tcf(c_8574,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ( multiply(sk_c4,multiply(iPr_def_13,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8327,c_1277]) ).
tcf(c_8575,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ( multiply(iPr_def_13,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_8327,c_1276]) ).
tcf(c_8577,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_13,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_8327,c_1274]) ).
tcf(c_8583,plain,
( ( identity = iPr_def_16 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8327,c_630]) ).
tcf(c_8584,plain,
( ( identity = iPr_def_16 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_13,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8327,c_596]) ).
tcf(c_8587,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_13,multiply(X0,iPr_def_13)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8327,c_330]) ).
tcf(c_8588,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_13) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_8327,c_332]) ).
tcf(c_8590,plain,
( ( identity = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_13) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8327,c_328]) ).
tcf(c_8591,plain,
( ( identity = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_8327,c_327]) ).
tcf(c_8593,plain,
( ( identity = iPr_def_16 )
| ( multiply(iPr_def_13,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8327,c_323]) ).
tcf(c_8594,plain,
( ( identity = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8327,c_322]) ).
tcf(c_8595,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8327,c_339]) ).
tcf(c_8596,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_16 )
| ( sk_c8 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_8327,c_334]) ).
tcf(c_8597,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8327,c_329]) ).
tcf(c_8757,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2938,c_4693]) ).
tcf(c_8759,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2938,c_1291]) ).
tcf(c_8762,plain,
inverse(iPr_def_14) = sk_c4,
inference(demodulation,[status(thm)],[c_8315,c_5094]) ).
tcf(c_8774,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_718,c_8314]) ).
tcf(c_8775,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_771,c_8314]) ).
tcf(c_8776,plain,
multiply(sk_c4,sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_2128,c_8314]) ).
tcf(c_8779,plain,
! [X0: $i] : multiply(inverse(sk_c4),X0) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_8314,c_4693]) ).
tcf(c_8780,plain,
! [X0: $i,X1: $i] : multiply(sk_c4,multiply(multiply(iPr_def_14,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8314,c_76]) ).
tcf(c_8782,plain,
( ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_8774,c_4270]) ).
tcf(c_8841,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8595,c_8327]) ).
tcf(c_8845,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8595,c_957]) ).
tcf(c_8848,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(inverse(iPr_def_15),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_8595,c_4701]) ).
tcf(c_8849,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_8595,c_1278]) ).
tcf(c_8850,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c4,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_8595,c_1277]) ).
tcf(c_8851,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(iPr_def_15,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_8595,c_1276]) ).
tcf(c_8853,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_8595,c_1274]) ).
tcf(c_8860,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_15,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8595,c_630]) ).
tcf(c_8865,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_15,multiply(X0,iPr_def_15)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8595,c_330]) ).
tcf(c_8866,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_15) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_8595,c_332]) ).
tcf(c_8868,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_8595,c_328]) ).
tcf(c_8869,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_8595,c_327]) ).
tcf(c_8871,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(iPr_def_15,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_8595,c_323]) ).
tcf(c_8872,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8595,c_322]) ).
tcf(c_8874,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ( iPr_def_13 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8595,c_329]) ).
tcf(c_9037,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_8596,c_322]) ).
tcf(c_9044,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( identity = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_9037,c_8310]) ).
tcf(c_9060,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2255,c_4693]) ).
tcf(c_9061,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2255,c_76]) ).
tcf(c_9062,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2255,c_2126]) ).
tcf(c_9079,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2256,c_4693]) ).
tcf(c_9080,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2256,c_76]) ).
tcf(c_9081,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2256,c_2126]) ).
tcf(c_9152,plain,
( ( sk_c8 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c7,iPr_def_17) = multiply(iPr_def_13,sk_c5) ) ),
inference(superposition,[status(thm)],[c_2829,c_1960]) ).
tcf(c_9153,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_17) = multiply(iPr_def_13,identity) ) ),
inference(superposition,[status(thm)],[c_5094,c_1960]) ).
tcf(c_9154,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c7),multiply(iPr_def_13,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_1960,c_4693]) ).
tcf(c_9155,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c7,multiply(multiply(iPr_def_17,X0),X1)) = multiply(multiply(iPr_def_13,X0),X1) ) ),
inference(superposition,[status(thm)],[c_1960,c_76]) ).
tcf(c_9158,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c6,X0) = multiply(iPr_def_17,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9154,c_4759]) ).
tcf(c_9174,plain,
( ( iPr_def_16 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9044,c_8105]) ).
tcf(c_9175,plain,
( ( iPr_def_16 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9044,c_6985]) ).
tcf(c_9176,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(iPr_def_16) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9044,c_5112]) ).
tcf(c_9177,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(X0,iPr_def_16) = X0 ) ),
inference(superposition,[status(thm)],[c_9044,c_5094]) ).
tcf(c_9178,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_9044,c_74]) ).
tcf(c_9235,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3058,c_4693]) ).
tcf(c_9237,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3058,c_1290]) ).
tcf(c_9244,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3059,c_4693]) ).
tcf(c_9246,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3059,c_1293]) ).
tcf(c_9262,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_9174,c_1851]) ).
tcf(c_9263,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,multiply(iPr_def_16,X0)) = multiply(sk_c6,X0) ) ),
inference(superposition,[status(thm)],[c_9174,c_2163]) ).
tcf(c_9264,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9174,c_3377]) ).
tcf(c_9265,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9174,c_3343]) ).
tcf(c_9266,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_17) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9174,c_1850]) ).
tcf(c_9267,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_18) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9174,c_1849]) ).
tcf(c_9268,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_16,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9174,c_842]) ).
tcf(c_9269,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_16) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_9174,c_2160]) ).
tcf(c_9270,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,sk_c6) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9174,c_577]) ).
tcf(c_9306,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0) ) ),
inference(superposition,[status(thm)],[c_9175,c_2185]) ).
tcf(c_9313,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_20,iPr_def_16) = sk_c8 ) ),
inference(superposition,[status(thm)],[c_9175,c_2165]) ).
tcf(c_9323,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_15)) != sk_c8 )
| ( multiply(sk_c8,multiply(sk_c1,sk_c8)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_4769,c_330]) ).
tcf(c_9324,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_15)) != sk_c8 )
| ( multiply(sk_c1,sk_c8) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4769,c_332]) ).
tcf(c_9325,plain,
multiply(sk_c1,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_4769,c_75]) ).
tcf(c_9326,plain,
! [X0: $i] : multiply(inverse(inverse(iPr_def_15)),multiply(sk_c1,X0)) = X0,
inference(superposition,[status(thm)],[c_4769,c_4693]) ).
tcf(c_9327,plain,
! [X0: $i,X1: $i] : multiply(inverse(iPr_def_15),multiply(X0,X1)) = multiply(multiply(sk_c1,X0),X1),
inference(superposition,[status(thm)],[c_4769,c_76]) ).
tcf(c_9328,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_15)) != sk_c6 )
| ( multiply(sk_c1,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_4769,c_333]) ).
tcf(c_9329,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_4769,c_4693]) ).
tcf(c_9330,plain,
multiply(sk_c1,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_4769,c_5094]) ).
tcf(c_9334,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_22 )
| ( inverse(inverse(iPr_def_15)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_9324,c_328]) ).
tcf(c_9338,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_15)) != sk_c8 )
| ( multiply(sk_c8,iPr_def_22) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_9323,c_328]) ).
tcf(c_9342,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1399,c_9325]) ).
tcf(c_9343,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1171,c_9325]) ).
tcf(c_9344,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_14 ) ),
inference(demodulation,[status(thm)],[c_754,c_9325]) ).
tcf(c_9392,plain,
multiply(inverse(sk_c1),identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_9325,c_4693]) ).
tcf(c_9393,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_15,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_9325,c_76]) ).
tcf(c_9394,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_9325,c_1290]) ).
tcf(c_9405,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2378,c_4693]) ).
tcf(c_9406,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2378,c_76]) ).
tcf(c_9407,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2378,c_2126]) ).
tcf(c_9437,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2379,c_4693]) ).
tcf(c_9438,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2379,c_76]) ).
tcf(c_9439,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2379,c_2126]) ).
tcf(c_9470,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2380,c_4693]) ).
tcf(c_9471,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2380,c_76]) ).
tcf(c_9472,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2380,c_2126]) ).
tcf(c_9527,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2489,c_4693]) ).
tcf(c_9528,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2489,c_76]) ).
tcf(c_9529,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2489,c_2126]) ).
tcf(c_9641,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2490,c_4693]) ).
tcf(c_9642,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2490,c_76]) ).
tcf(c_9643,plain,
( ( sk_c8 = iPr_def_20 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2490,c_2126]) ).
tcf(c_9660,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,identity) = multiply(iPr_def_16,sk_c2) ) ),
inference(superposition,[status(thm)],[c_769,c_2011]) ).
tcf(c_9661,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(sk_c2,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_1293,c_2011]) ).
tcf(c_9664,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,sk_c8) = multiply(iPr_def_16,iPr_def_21) ) ),
inference(superposition,[status(thm)],[c_2165,c_2011]) ).
tcf(c_9665,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_21,X0)) ) ),
inference(superposition,[status(thm)],[c_2185,c_2011]) ).
tcf(c_9666,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_20) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_5094,c_2011]) ).
tcf(c_9667,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_6496,c_2011]) ).
tcf(c_9668,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_4693]) ).
tcf(c_9669,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c4,multiply(multiply(iPr_def_20,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_2011,c_76]) ).
tcf(c_9670,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(iPr_def_20,X0) ) ),
inference(superposition,[status(thm)],[c_2011,c_1291]) ).
tcf(c_9673,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_21) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_9664,c_8776]) ).
tcf(c_9678,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_20,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9670,c_2142]) ).
tcf(c_9684,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_21,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_9665,c_1277]) ).
tcf(c_9689,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_16,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_9667,c_8314]) ).
tcf(c_9742,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9342,c_9044]) ).
tcf(c_9745,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9342,c_5112]) ).
tcf(c_9746,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_9342,c_5094]) ).
tcf(c_9747,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_9342,c_74]) ).
tcf(c_9766,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_16 = iPr_def_22 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9343,c_9044]) ).
tcf(c_9769,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9343,c_5112]) ).
tcf(c_9770,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_9343,c_5094]) ).
tcf(c_9771,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_9343,c_74]) ).
tcf(c_9843,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_9344,c_7605]) ).
tcf(c_9844,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_9344,c_7603]) ).
tcf(c_9846,plain,
( ( iPr_def_14 = iPr_def_15 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9344,c_6415]) ).
tcf(c_9847,plain,
( ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_22 )
| ( identity = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9344,c_6414]) ).
tcf(c_9848,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c7 != identity )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9344,c_957]) ).
tcf(c_9849,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_3063]) ).
tcf(c_9850,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_2939]) ).
tcf(c_9851,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_14 = iPr_def_15 )
| ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_1596]) ).
tcf(c_9852,plain,
( ( identity = iPr_def_22 )
| ( multiply(inverse(iPr_def_14),iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_9344,c_4701]) ).
tcf(c_9853,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,multiply(iPr_def_14,X0)) = multiply(iPr_def_22,X0) ) ),
inference(superposition,[status(thm)],[c_9344,c_1278]) ).
tcf(c_9854,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,multiply(iPr_def_14,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_9344,c_1277]) ).
tcf(c_9855,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_9344,c_1276]) ).
tcf(c_9857,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,multiply(iPr_def_14,X0)) = multiply(iPr_def_21,X0) ) ),
inference(superposition,[status(thm)],[c_9344,c_1274]) ).
tcf(c_9860,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9344,c_777]) ).
tcf(c_9861,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_2828]) ).
tcf(c_9862,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_2825]) ).
tcf(c_9863,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9344,c_2708]) ).
tcf(c_9864,plain,
( ( identity = iPr_def_22 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9344,c_630]) ).
tcf(c_9865,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9344,c_596]) ).
tcf(c_9866,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_920]) ).
tcf(c_9867,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_887]) ).
tcf(c_9868,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_13 = iPr_def_14 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_818]) ).
tcf(c_9869,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_572]) ).
tcf(c_9870,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( iPr_def_14 = iPr_def_15 )
| ( identity = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_545]) ).
tcf(c_9871,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(iPr_def_14,multiply(X0,iPr_def_14)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_9344,c_330]) ).
tcf(c_9872,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,iPr_def_14) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_9344,c_332]) ).
tcf(c_9873,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_9344,c_353]) ).
tcf(c_9874,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9344,c_328]) ).
tcf(c_9875,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_9344,c_327]) ).
tcf(c_9876,plain,
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_9344,c_323]) ).
tcf(c_9877,plain,
( ( identity = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_9344,c_322]) ).
tcf(c_9878,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_9344,c_339]) ).
tcf(c_9880,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( identity = iPr_def_22 )
| ( iPr_def_13 != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9344,c_329]) ).
tcf(c_9881,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_9877,c_8310]) ).
tcf(c_9940,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c8 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9865,c_2128]) ).
tcf(c_9944,plain,
( ( identity = iPr_def_22 )
| ( sk_c8 = iPr_def_17 )
| ( sk_c7 = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_9864,c_2128]) ).
tcf(c_9953,plain,
! [X0: $i] :
( ( identity = iPr_def_22 )
| ( multiply(iPr_def_16,X0) = X0 ) ),
inference(light_normalisation,[status(thm)],[c_9854,c_8314]) ).
tcf(c_9970,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_11
| ( sk_c7 != identity ) ),
inference(ground_joinability,[status(thm)],[c_9848,c_320,c_8762]) ).
tcf(c_10126,plain,
( ( identity = iPr_def_16 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9881,c_5112]) ).
tcf(c_10127,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_9881,c_5094]) ).
tcf(c_10128,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_9881,c_74]) ).
tcf(c_10155,plain,
inverse(iPr_def_15) = sk_c1,
inference(demodulation,[status(thm)],[c_9330,c_5094]) ).
tcf(c_10159,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1402,c_9329]) ).
tcf(c_10160,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_1174,c_9329]) ).
tcf(c_10161,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c1,iPr_def_17) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_595,c_9329]) ).
tcf(c_10162,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_772,c_9329]) ).
tcf(c_10163,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_2062,c_9329]) ).
tcf(c_10164,plain,
multiply(sk_c1,sk_c8) = iPr_def_22,
inference(superposition,[status(thm)],[c_2099,c_9329]) ).
tcf(c_10167,plain,
! [X0: $i] : multiply(inverse(sk_c1),X0) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_9329,c_4693]) ).
tcf(c_10168,plain,
! [X0: $i,X1: $i] : multiply(sk_c1,multiply(multiply(iPr_def_15,X0),X1)) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_9329,c_76]) ).
tcf(c_10170,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_22,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_10161,c_4358]) ).
tcf(c_10173,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_22,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_10160,c_4358]) ).
tcf(c_10176,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_10159,c_4358]) ).
tcf(c_10179,plain,
( ( sk_c8 = iPr_def_14 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_22,sk_c5) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_10163,c_4358]) ).
tcf(c_10217,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c2 = sk_c4 ) ),
inference(light_normalisation,[status(thm)],[c_7284,c_8762]) ).
tcf(c_10224,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_20,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_10217,c_2011]) ).
tcf(c_10227,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10217,c_2938]) ).
tcf(c_10233,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_17) = multiply(iPr_def_16,sk_c5) ) ),
inference(superposition,[status(thm)],[c_10217,c_4270]) ).
tcf(c_10234,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,multiply(sk_c8,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_10217,c_1277]) ).
tcf(c_10236,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_13 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10217,c_889]) ).
tcf(c_10238,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c2,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10217,c_589]) ).
tcf(c_10239,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10217,c_588]) ).
tcf(c_10241,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,sk_c8) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10217,c_322]) ).
tcf(c_10242,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( inverse(sk_c2) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_10217,c_320]) ).
tcf(c_10253,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,X0) = multiply(iPr_def_21,X0) ) ),
inference(light_normalisation,[status(thm)],[c_10234,c_1274]) ).
tcf(c_10319,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_22 )
| ( multiply(sk_c1,iPr_def_15) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_9878,c_328]) ).
tcf(c_10338,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( identity = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_10319,c_9325]) ).
tcf(c_10352,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2491,c_4693]) ).
tcf(c_10353,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2491,c_76]) ).
tcf(c_10354,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2491,c_2126]) ).
tcf(c_10372,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2540,c_4693]) ).
tcf(c_10373,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2540,c_76]) ).
tcf(c_10374,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2540,c_2126]) ).
tcf(c_10400,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2541,c_4693]) ).
tcf(c_10401,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2541,c_76]) ).
tcf(c_10402,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2541,c_2126]) ).
tcf(c_10421,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c2,multiply(iPr_def_15,X0)) = multiply(iPr_def_16,X0) ) ),
inference(superposition,[status(thm)],[c_10217,c_2019]) ).
tcf(c_10425,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,identity) = multiply(iPr_def_16,sk_c1) ) ),
inference(superposition,[status(thm)],[c_772,c_2019]) ).
tcf(c_10426,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(sk_c1,X0)) = multiply(sk_c4,X0) ) ),
inference(superposition,[status(thm)],[c_1290,c_2019]) ).
tcf(c_10428,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,sk_c8) = multiply(iPr_def_16,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_2099,c_2019]) ).
tcf(c_10429,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,multiply(sk_c8,X0)) = multiply(iPr_def_16,multiply(iPr_def_22,X0)) ) ),
inference(superposition,[status(thm)],[c_2126,c_2019]) ).
tcf(c_10430,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,iPr_def_15) = multiply(iPr_def_16,identity) ) ),
inference(superposition,[status(thm)],[c_5094,c_2019]) ).
tcf(c_10431,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(inverse(sk_c4),multiply(iPr_def_16,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2019,c_4693]) ).
tcf(c_10432,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c4,multiply(multiply(iPr_def_15,X0),X1)) = multiply(multiply(iPr_def_16,X0),X1) ) ),
inference(superposition,[status(thm)],[c_2019,c_76]) ).
tcf(c_10433,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_14,multiply(iPr_def_16,X0)) = multiply(iPr_def_15,X0) ) ),
inference(superposition,[status(thm)],[c_2019,c_1291]) ).
tcf(c_10436,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_16,iPr_def_22) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_10428,c_8776]) ).
tcf(c_10441,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c8,X0) = multiply(iPr_def_15,X0) ) ),
inference(light_normalisation,[status(thm)],[c_10433,c_2142]) ).
tcf(c_10447,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_16,multiply(iPr_def_22,X0)) = multiply(iPr_def_16,X0) ) ),
inference(light_normalisation,[status(thm)],[c_10429,c_1277]) ).
tcf(c_10553,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_10338,c_5112]) ).
tcf(c_10554,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_10338,c_5094]) ).
tcf(c_10555,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_10338,c_74]) ).
tcf(c_10568,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c2,iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_10217,c_3062]) ).
tcf(c_10569,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3062,c_4693]) ).
tcf(c_10571,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3062,c_1291]) ).
tcf(c_10583,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(iPr_def_21,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_7363,c_4693]) ).
tcf(c_10584,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_21) = identity ) ),
inference(superposition,[status(thm)],[c_7363,c_75]) ).
tcf(c_10601,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,multiply(iPr_def_19,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_8294,c_4693]) ).
tcf(c_10602,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,iPr_def_19) = identity ) ),
inference(superposition,[status(thm)],[c_8294,c_75]) ).
tcf(c_10612,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,multiply(iPr_def_16,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_9176,c_4693]) ).
tcf(c_10613,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_9176,c_75]) ).
tcf(c_10627,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_2599,c_4693]) ).
tcf(c_10628,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(iPr_def_18,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2599,c_76]) ).
tcf(c_10629,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_18) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2599,c_2126]) ).
tcf(c_10648,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(inverse(iPr_def_22),iPr_def_13) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_2600,c_4693]) ).
tcf(c_10649,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(iPr_def_17,X0)) = multiply(iPr_def_13,X0) ) ),
inference(superposition,[status(thm)],[c_2600,c_76]) ).
tcf(c_10650,plain,
( ( sk_c8 = iPr_def_13 )
| ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c8,iPr_def_17) = multiply(iPr_def_15,iPr_def_13) ) ),
inference(superposition,[status(thm)],[c_2600,c_2126]) ).
tcf(c_10686,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(sk_c8,sk_c8) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1117,c_5112]) ).
tcf(c_10724,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_14,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_9344,c_10686]) ).
tcf(c_10725,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8595,c_10686]) ).
tcf(c_10726,plain,
( ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8327,c_10686]) ).
tcf(c_10727,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7605,c_10686]) ).
tcf(c_10728,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7603,c_10686]) ).
tcf(c_10729,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_6415,c_10686]) ).
tcf(c_10730,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_6414,c_10686]) ).
tcf(c_10731,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_14,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_3064,c_10686]) ).
tcf(c_10732,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_3063,c_10686]) ).
tcf(c_10733,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_14,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2940,c_10686]) ).
tcf(c_10734,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2939,c_10686]) ).
tcf(c_10735,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1596,c_10686]) ).
tcf(c_10740,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2828,c_10686]) ).
tcf(c_10741,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2825,c_10686]) ).
tcf(c_10742,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_17,iPr_def_17) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2708,c_10686]) ).
tcf(c_10743,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_920,c_10686]) ).
tcf(c_10744,plain,
( ( iPr_def_14 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_887,c_10686]) ).
tcf(c_10745,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_13,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_818,c_10686]) ).
tcf(c_10746,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_572,c_10686]) ).
tcf(c_10747,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_545,c_10686]) ).
tcf(c_10748,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_353,c_10686]) ).
tcf(c_10749,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_14,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_348,c_10686]) ).
tcf(c_10750,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_339,c_10686]) ).
tcf(c_10751,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c8 != identity )
| ( multiply(iPr_def_15,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_334,c_10686]) ).
tcf(c_10918,plain,
! [X0: $i] :
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_14,multiply(sk_c5,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_6496,c_2045]) ).
tcf(c_10919,plain,
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_17,identity) = multiply(iPr_def_20,sk_c5) ) ),
inference(superposition,[status(thm)],[c_5094,c_2045]) ).
tcf(c_10921,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( sk_c7 = iPr_def_22 )
| ( multiply(iPr_def_20,multiply(iPr_def_16,X0)) = multiply(iPr_def_17,X0) ) ),
inference(superposition,[status(thm)],[c_342,c_2045]) ).
tcf(c_10923,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(inverse(iPr_def_20),multiply(iPr_def_17,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_2045,c_4693]) ).
tcf(c_10924,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_20,multiply(multiply(sk_c5,X0),X1)) = multiply(multiply(iPr_def_17,X0),X1) ) ),
inference(superposition,[status(thm)],[c_2045,c_76]) ).
tcf(c_10926,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(sk_c2,multiply(iPr_def_17,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_2045,c_6401]) ).
tcf(c_10929,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_15 )
| ( multiply(iPr_def_21,multiply(sk_c5,X0)) = multiply(sk_c5,X0) ) ),
inference(light_normalisation,[status(thm)],[c_10926,c_4198]) ).
tcf(c_10949,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(sk_c1),iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6876,c_4693]) ).
tcf(c_10951,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_15,iPr_def_22) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6876,c_1290]) ).
tcf(c_11046,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6877,c_4693]) ).
tcf(c_11048,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6877,c_1293]) ).
tcf(c_11065,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(sk_c4),iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6880,c_4693]) ).
tcf(c_11067,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_16) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_6880,c_1291]) ).
tcf(c_11074,plain,
! [X0: $i] :
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_9745,c_4693]) ).
tcf(c_11075,plain,
( ( iPr_def_19 = iPr_def_21 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_9745,c_75]) ).
tcf(c_11085,plain,
! [X0: $i] :
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_9769,c_4693]) ).
tcf(c_11086,plain,
( ( iPr_def_17 = iPr_def_18 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_9769,c_75]) ).
tcf(c_11096,plain,
! [X0: $i] :
( ( identity = iPr_def_16 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10126,c_4693]) ).
tcf(c_11097,plain,
( ( identity = iPr_def_16 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_10126,c_75]) ).
tcf(c_11107,plain,
! [X0: $i] :
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_22,multiply(iPr_def_22,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_10553,c_4693]) ).
tcf(c_11108,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( multiply(iPr_def_22,iPr_def_22) = identity ) ),
inference(superposition,[status(thm)],[c_10553,c_75]) ).
tcf(c_11120,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_9344,c_4197]) ).
tcf(c_11121,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8595,c_4197]) ).
tcf(c_11122,plain,
( ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8327,c_4197]) ).
tcf(c_11123,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7605,c_4197]) ).
tcf(c_11124,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_7603,c_4197]) ).
tcf(c_11125,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_6415,c_4197]) ).
tcf(c_11126,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_6414,c_4197]) ).
tcf(c_11127,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_3064,c_4197]) ).
tcf(c_11128,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_3063,c_4197]) ).
tcf(c_11129,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2940,c_4197]) ).
tcf(c_11130,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2939,c_4197]) ).
tcf(c_11131,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_1596,c_4197]) ).
tcf(c_11136,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2828,c_4197]) ).
tcf(c_11137,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2825,c_4197]) ).
tcf(c_11138,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_17) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_2708,c_4197]) ).
tcf(c_11139,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_920,c_4197]) ).
tcf(c_11140,plain,
( ( iPr_def_14 = iPr_def_20 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_887,c_4197]) ).
tcf(c_11141,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_13) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_818,c_4197]) ).
tcf(c_11142,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_572,c_4197]) ).
tcf(c_11143,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_545,c_4197]) ).
tcf(c_11144,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_20) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_353,c_4197]) ).
tcf(c_11145,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_14) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_348,c_4197]) ).
tcf(c_11146,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_20) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_339,c_4197]) ).
tcf(c_11147,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12
| ( inverse(sk_c5) != sk_c8 )
| ( multiply(iPr_def_17,iPr_def_15) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_334,c_4197]) ).
tcf(c_11386,plain,
( ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_1118,c_5094]) ).
tcf(c_11396,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_9344,c_11386]) ).
tcf(c_11397,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_8595,c_11386]) ).
tcf(c_11398,plain,
( ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_8327,c_11386]) ).
tcf(c_11399,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7605,c_11386]) ).
tcf(c_11401,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_6415,c_11386]) ).
tcf(c_11403,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_3064,c_11386]) ).
tcf(c_11404,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_3063,c_11386]) ).
tcf(c_11405,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2940,c_11386]) ).
tcf(c_11406,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_2939,c_11386]) ).
tcf(c_11407,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1596,c_11386]) ).
tcf(c_11412,plain,
( ( iPr_def_14 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2828,c_11386]) ).
tcf(c_11413,plain,
( ( iPr_def_17 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_2825,c_11386]) ).
tcf(c_11416,plain,
( ( iPr_def_14 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_13)) != iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_887,c_11386]) ).
tcf(c_11418,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_572,c_11386]) ).
tcf(c_11419,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_545,c_11386]) ).
tcf(c_11421,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_14)) != iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_348,c_11386]) ).
tcf(c_11422,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_20)) != iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_339,c_11386]) ).
tcf(c_11423,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 )
| ( inverse(inverse(iPr_def_15)) != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_334,c_11386]) ).
tcf(c_11424,plain,
( ( sk_c8 = iPr_def_14 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11423,c_321,c_10155]) ).
tcf(c_11428,plain,
( ( sk_c8 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11422,c_326,c_6428]) ).
tcf(c_11432,plain,
( ( sk_c8 = iPr_def_13 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11421,c_320,c_8762]) ).
tcf(c_11436,plain,
( ( iPr_def_17 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11419,c_321,c_10155]) ).
tcf(c_11440,plain,
( ( iPr_def_19 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11418,c_321,c_10155]) ).
tcf(c_11460,plain,
( ( identity = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11401,c_321,c_10155]) ).
tcf(c_11468,plain,
( ( identity = iPr_def_19 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11399,c_321,c_10155]) ).
tcf(c_11476,plain,
( ( identity = iPr_def_22 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11396,c_320,c_8762]) ).
tcf(c_11480,plain,
( ( iPr_def_14 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11407,c_321,c_10155]) ).
tcf(c_11485,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11406,c_321,c_10155]) ).
tcf(c_11490,plain,
( ( iPr_def_17 = iPr_def_20 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11405,c_320,c_8762]) ).
tcf(c_11495,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_20 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11404,c_321,c_10155]) ).
tcf(c_11500,plain,
( ( iPr_def_14 = iPr_def_17 )
| ( iPr_def_13 = iPr_def_15 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11403,c_320,c_8762]) ).
tcf(c_11505,plain,
( ( iPr_def_13 = iPr_def_20 )
| ( identity = iPr_def_16 )
| ~ iPr_def_12
| ( sk_c6 != sk_c8 ) ),
inference(ground_joinability,[status(thm)],[c_11397,c_321,c_10155]) ).
tcf(c_11660,plain,
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,sk_c5) = multiply(iPr_def_17,identity) ) ),
inference(superposition,[status(thm)],[c_5094,c_2064]) ).
tcf(c_11664,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(inverse(iPr_def_15),multiply(iPr_def_17,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_2064,c_4693]) ).
tcf(c_11665,plain,
! [X0: $i,X1: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_15,multiply(multiply(sk_c5,X0),X1)) = multiply(multiply(iPr_def_17,X0),X1) ) ),
inference(superposition,[status(thm)],[c_2064,c_76]) ).
tcf(c_11667,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(sk_c1,multiply(iPr_def_17,X0)) = multiply(sk_c5,X0) ) ),
inference(superposition,[status(thm)],[c_2064,c_9329]) ).
tcf(c_11670,plain,
! [X0: $i] :
( ( sk_c8 = iPr_def_14 )
| ( multiply(iPr_def_22,multiply(sk_c5,X0)) = multiply(sk_c5,X0) ) ),
inference(light_normalisation,[status(thm)],[c_11667,c_4362]) ).
tcf(c_11682,plain,
( ( identity = iPr_def_22 )
| ( identity = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7010,c_9325]) ).
tcf(c_11695,plain,
( ( identity = iPr_def_21 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_11682,c_5112]) ).
tcf(c_11696,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(X0,iPr_def_22) = X0 ) ),
inference(superposition,[status(thm)],[c_11682,c_5094]) ).
tcf(c_11697,plain,
! [X0: $i] :
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_11682,c_74]) ).
tcf(c_11710,plain,
( ( identity = iPr_def_21 )
| ( multiply(inverse(sk_c2),iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7011,c_4693]) ).
tcf(c_11712,plain,
( ( identity = iPr_def_21 )
| ( multiply(iPr_def_20,iPr_def_21) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7011,c_1293]) ).
tcf(c_11757,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_11712,c_11710,c_11697,c_11696,c_11695,c_11682,c_11670,c_11667,c_11665,c_11664,c_11660,c_11505,c_11500,c_11495,c_11490,c_11485,c_11480,c_11476,c_11468,c_11460,c_11440,c_11436,c_11432,c_11428,c_11424,c_11419,c_11418,c_11416,c_11413,c_11412,c_11421,c_11422,c_11423,c_11407,c_11406,c_11405,c_11404,c_11403,c_11401,c_11399,c_11398,c_11397,c_11396,c_11386,c_11143,c_11142,c_11141,c_11140,c_11139,c_11138,c_11137,c_11136,c_11145,c_11146,c_11147,c_11144,c_11131,c_11130,c_11129,c_11128,c_11127,c_11126,c_11125,c_11124,c_11123,c_11122,c_11121,c_11120,c_11108,c_11107,c_11097,c_11096,c_11086,c_11085,c_11075,c_11074,c_11067,c_11065,c_11048,c_11046,c_10951,c_10949,c_10929,c_10926,c_10924,c_10923,c_10921,c_10919,c_10918,c_10747,c_10746,c_10745,c_10744,c_10743,c_10742,c_10741,c_10740,c_10749,c_10750,c_10751,c_10748,c_10735,c_10734,c_10733,c_10732,c_10731,c_10730,c_10729,c_10728,c_10727,c_10726,c_10725,c_10724,c_10686,c_10650,c_10649,c_10648,c_10629,c_10628,c_10627,c_10613,c_10612,c_10602,c_10601,c_10584,c_10583,c_10571,c_10569,c_10568,c_10555,c_10554,c_10553,c_10447,c_10441,c_10436,c_10433,c_10432,c_10431,c_10430,c_10429,c_10428,c_10426,c_10425,c_10421,c_10402,c_10401,c_10400,c_10374,c_10373,c_10372,c_10354,c_10353,c_10352,c_10338,c_10319,c_10253,c_10242,c_10239,c_10238,c_10236,c_10234,c_10233,c_10227,c_10241,c_10224,c_10217,c_10179,c_10176,c_10173,c_10170,c_10168,c_10167,c_10164,c_10163,c_10162,c_10161,c_10160,c_10159,c_10155,c_10128,c_10127,c_10126,c_9970,c_9953,c_9944,c_9940,c_9881,c_9880,c_9876,c_9874,c_9872,c_9871,c_9865,c_9864,c_9860,c_9857,c_9855,c_9854,c_9853,c_9852,c_9848,c_9875,c_9877,c_9870,c_9869,c_9868,c_9867,c_9866,c_9863,c_9862,c_9861,c_9878,c_9873,c_9851,c_9850,c_9849,c_9847,c_9846,c_9844,c_9843,c_9771,c_9770,c_9769,c_9766,c_9747,c_9746,c_9745,c_9742,c_9689,c_9684,c_9678,c_9673,c_9670,c_9669,c_9668,c_9667,c_9666,c_9665,c_9664,c_9661,c_9660,c_9643,c_9642,c_9641,c_9529,c_9528,c_9527,c_9472,c_9471,c_9470,c_9439,c_9438,c_9437,c_9407,c_9406,c_9405,c_9394,c_9393,c_9392,c_9344,c_9343,c_9342,c_9338,c_9334,c_9328,c_9327,c_9326,c_9324,c_9323,c_9330,c_9329,c_9325,c_9313,c_9306,c_9270,c_9269,c_9268,c_9267,c_9266,c_9265,c_9264,c_9263,c_9262,c_9246,c_9244,c_9237,c_9235,c_9178,c_9177,c_9176,c_9175,c_9174,c_9158,c_9155,c_9154,c_9153,c_9152,c_9081,c_9080,c_9079,c_9062,c_9061,c_9060,c_9044,c_9037,c_8874,c_8871,c_8868,c_8866,c_8865,c_8860,c_8853,c_8851,c_8850,c_8849,c_8848,c_8845,c_8869,c_8872,c_8841,c_8782,c_8780,c_8779,c_8776,c_8775,c_8774,c_8762,c_8759,c_8757,c_8597,c_8594,c_8593,c_8590,c_8588,c_8587,c_8584,c_8583,c_8577,c_8575,c_8574,c_8573,c_8572,c_8566,c_8591,c_8595,c_8596,c_8538,c_8537,c_8536,c_8494,c_8491,c_8484,c_8481,c_8480,c_8478,c_8477,c_8476,c_8475,c_8474,c_8421,c_8420,c_8353,c_8352,c_8351,c_8327,c_8323,c_8319,c_8313,c_8312,c_8311,c_8309,c_8308,c_8315,c_8314,c_8310,c_8296,c_8295,c_8294,c_8275,c_8255,c_8253,c_8135,c_8134,c_8131,c_8129,c_8128,c_8116,c_8114,c_8113,c_8112,c_8111,c_8108,c_8132,c_8105,c_8059,c_8048,c_8041,c_8040,c_8039,c_7950,c_7947,c_7946,c_7943,c_7941,c_7940,c_7930,c_7928,c_7927,c_7926,c_7925,c_7919,c_7944,c_7949,c_7843,c_7842,c_7841,c_7838,c_7837,c_7828,c_7811,c_7810,c_7809,c_7790,c_7789,c_7788,c_7753,c_7752,c_7751,c_7737,c_7736,c_7735,c_7721,c_7720,c_7719,c_7718,c_7708,c_7707,c_7706,c_7703,c_7702,c_7697,c_7695,c_7690,c_7689,c_7688,c_7687,c_7605,c_7604,c_7603,c_7593,c_7588,c_7587,c_7586,c_7584,c_7583,c_7582,c_7590,c_7589,c_7585,c_7576,c_7574,c_7558,c_7557,c_7556,c_7554,c_7553,c_7546,c_7522,c_7521,c_7520,c_7518,c_7517,c_7516,c_7509,c_7456,c_7455,c_7454,c_7451,c_7450,c_7441,c_7420,c_7417,c_7416,c_7415,c_7365,c_7364,c_7363,c_7324,c_7297,c_7296,c_7295,c_7294,c_7293,c_7292,c_7288,c_7287,c_7286,c_7285,c_7284,c_7283,c_7282,c_7195,c_7194,c_7193,c_7191,c_7190,c_7183,c_7138,c_7137,c_7136,c_7135,c_7134,c_7133,c_7132,c_7131,c_7130,c_7129,c_7014,c_7013,c_7011,c_7010,c_7008,c_7007,c_7002,c_6995,c_6993,c_6992,c_6991,c_6990,c_6986,c_6985,c_6883,c_6880,c_6879,c_6877,c_6876,c_6874,c_6873,c_6869,c_6863,c_6861,c_6860,c_6859,c_6858,c_6851,c_6882,c_6804,c_6805,c_6803,c_6802,c_6801,c_6800,c_6684,c_6676,c_6667,c_6666,c_6665,c_6664,c_6663,c_6661,c_6660,c_6670,c_6671,c_6668,c_6655,c_6653,c_6652,c_6651,c_6650,c_6618,c_6619,c_6617,c_6616,c_6615,c_6614,c_6598,c_6538,c_6537,c_6536,c_6535,c_6534,c_6533,c_6532,c_6531,c_6530,c_6512,c_6496,c_6451,c_6448,c_6445,c_6442,c_6440,c_6439,c_6437,c_6436,c_6435,c_6434,c_6433,c_6432,c_6428,c_6425,c_6424,c_6423,c_6415,c_6414,c_6410,c_6406,c_6400,c_6399,c_6398,c_6396,c_6395,c_6402,c_6401,c_6397,c_6285,c_6284,c_6283,c_6282,c_6281,c_6280,c_6279,c_6278,c_6277,c_6276,c_6275,c_6271,c_6270,c_6269,c_6256,c_6255,c_6254,c_6253,c_6252,c_6251,c_6250,c_6249,c_6248,c_6245,c_6243,c_6155,c_6150,c_6105,c_6104,c_6103,c_6102,c_6100,c_6099,c_6093,c_6092,c_6085,c_6083,c_6082,c_6081,c_6080,c_6098,c_6097,c_6091,c_6089,c_6106,c_6107,c_6077,c_5987,c_5986,c_5984,c_5983,c_5981,c_5980,c_5975,c_5968,c_5966,c_5965,c_5964,c_5963,c_5972,c_5985,c_5962,c_5961,c_5856,c_5851,c_5805,c_5804,c_5803,c_5802,c_5800,c_5799,c_5793,c_5792,c_5788,c_5785,c_5783,c_5782,c_5781,c_5780,c_5798,c_5797,c_5791,c_5790,c_5789,c_5807,c_5778,c_5612,c_5611,c_5609,c_5608,c_5606,c_5605,c_5600,c_5593,c_5591,c_5590,c_5589,c_5588,c_5604,c_5599,c_5598,c_5597,c_5610,c_5613,c_5607,c_5551,c_5549,c_5542,c_5540,c_5533,c_5531,c_5515,c_5421,c_5369,c_5368,c_5367,c_5366,c_5364,c_5363,c_5356,c_5349,c_5347,c_5346,c_5345,c_5344,c_5362,c_5361,c_5359,c_5355,c_5353,c_5370,c_5371,c_5365,c_5343,c_5261,c_5260,c_5258,c_5257,c_5255,c_5254,c_5249,c_5242,c_5240,c_5239,c_5238,c_5237,c_5252,c_5246,c_5259,c_5205,c_5203,c_5196,c_5194,c_5187,c_5185,c_5122,c_5118,c_5117,c_5116,c_5115,c_5114,c_5113,c_5107,c_5106,c_5105,c_5104,c_5103,c_5102,c_5100,c_5101,c_5112,c_5094,c_5082,c_5080,c_5079,c_5078,c_5065,c_5057,c_5056,c_5055,c_5054,c_5053,c_5047,c_4791,c_4789,c_4788,c_4787,c_4786,c_4785,c_4784,c_4783,c_4782,c_4781,c_4780,c_4779,c_4778,c_4777,c_4776,c_4775,c_4774,c_4773,c_4772,c_4771,c_4770,c_4769,c_4768,c_4767,c_4766,c_4790,c_4764,c_4763,c_4762,c_4761,c_4760,c_4759,c_4758,c_4757,c_4756,c_4755,c_4754,c_4753,c_4752,c_4751,c_4750,c_4749,c_4748,c_4747,c_4746,c_4745,c_4744,c_4743,c_4742,c_4741,c_4740,c_4739,c_4738,c_4737,c_4736,c_4735,c_4734,c_4733,c_4732,c_4731,c_4730,c_4729,c_4728,c_4727,c_4726,c_4725,c_4724,c_4723,c_4722,c_4721,c_4720,c_4719,c_4718,c_4717,c_4716,c_4715,c_4714,c_4713,c_4712,c_4711,c_4710,c_4709,c_4708,c_4707,c_4706,c_4705,c_4704,c_4703,c_4702,c_4701,c_4700,c_4699,c_4698,c_4693,c_4637,c_4630,c_4620,c_4601,c_4586,c_4579,c_4462,c_4461,c_4460,c_4459,c_4379,c_4373,c_4372,c_4371,c_4370,c_4369,c_4368,c_4367,c_4362,c_4361,c_4360,c_4359,c_4358,c_4357,c_4356,c_4355,c_4291,c_4285,c_4284,c_4283,c_4282,c_4281,c_4280,c_4279,c_4274,c_4273,c_4272,c_4271,c_4270,c_4198,c_4197,c_4196,c_4187,c_4186,c_4185,c_4184,c_4183,c_4182,c_4181,c_4174,c_4080,c_4070,c_4066,c_4057,c_4049,c_4048,c_3897,c_3891,c_3890,c_3889,c_3888,c_3887,c_3886,c_3885,c_3881,c_3880,c_3879,c_3878,c_3873,c_3853,c_3846,c_3845,c_3837,c_3799,c_3791,c_3782,c_3774,c_3766,c_3736,c_3727,c_3718,c_3570,c_3569,c_3558,c_3557,c_3543,c_3542,c_3522,c_3521,c_3474,c_3462,c_3461,c_3451,c_3450,c_3449,c_3408,c_3407,c_3385,c_3377,c_3376,c_3365,c_3364,c_3363,c_3350,c_3343,c_3342,c_3305,c_3304,c_3303,c_3185,c_3181,c_3175,c_3065,c_3062,c_3061,c_3059,c_3058,c_3056,c_3055,c_3052,c_3051,c_3064,c_3063,c_3060,c_3057,c_3054,c_3053,c_3050,c_2941,c_2938,c_2937,c_2935,c_2934,c_2932,c_2931,c_2928,c_2927,c_2940,c_2939,c_2936,c_2933,c_2929,c_2926,c_2833,c_2830,c_2829,c_2827,c_2826,c_2824,c_2823,c_2817,c_2816,c_2831,c_2828,c_2825,c_2822,c_2821,c_2820,c_2819,c_2818,c_2798,c_2797,c_2788,c_2787,c_2778,c_2777,c_2767,c_2766,c_2765,c_2755,c_2754,c_2753,c_2744,c_2743,c_2733,c_2732,c_2731,c_2708,c_2707,c_2704,c_2656,c_2644,c_2642,c_2641,c_2606,c_2605,c_2600,c_2599,c_2572,c_2571,c_2566,c_2565,c_2547,c_2546,c_2541,c_2540,c_5123,c_2495,c_2491,c_2490,c_2489,c_2488,c_2487,c_2475,c_2443,c_2442,c_2441,c_2384,c_2380,c_2379,c_2378,c_2377,c_2376,c_2357,c_2356,c_2355,c_2317,c_2314,c_2311,c_2310,c_2307,c_2305,c_2304,c_2260,c_2259,c_2256,c_2255,c_2254,c_2253,c_2240,c_2239,c_2238,c_2226,c_2225,c_2224,c_2207,c_2204,c_2201,c_2195,c_2185,c_2166,c_2165,c_2163,c_2161,c_2160,c_2142,c_2131,c_2130,c_2129,c_2128,c_2126,c_2100,c_2099,c_2064,c_2063,c_2062,c_2061,c_2045,c_2044,c_2043,c_2042,c_2019,c_2011,c_1960,c_1957,c_1956,c_1955,c_1954,c_1910,c_1907,c_1906,c_1905,c_1904,c_1852,c_1851,c_1850,c_1849,c_1848,c_1847,c_1846,c_1845,c_1800,c_1799,c_1798,c_1797,c_1796,c_1795,c_1794,c_1793,c_1701,c_1698,c_1697,c_1695,c_1694,c_1692,c_1691,c_1699,c_1696,c_1693,c_1689,c_1688,c_1598,c_1595,c_1594,c_1592,c_1591,c_1589,c_1588,c_1597,c_1596,c_1593,c_1590,c_1587,c_1585,c_1561,c_1513,c_1510,c_1509,c_1507,c_1506,c_1504,c_1503,c_1511,c_1508,c_1505,c_1502,c_1501,c_1472,c_1405,c_1403,c_1402,c_1400,c_1399,c_1397,c_1396,c_1404,c_1401,c_1398,c_1293,c_1292,c_1291,c_1290,c_1289,c_1287,c_1286,c_1285,c_1284,c_1283,c_1282,c_1288,c_1280,c_1279,c_1278,c_1277,c_1276,c_1275,c_1274,c_1273,c_1266,c_1177,c_1175,c_1174,c_1172,c_1171,c_1169,c_1168,c_1176,c_1173,c_1170,c_1134,c_1130,c_1126,c_1118,c_1117,c_1116,c_1115,c_1114,c_1122,c_1121,c_1120,c_1119,c_1035,c_1031,c_1030,c_1029,c_1028,c_1027,c_1026,c_1025,c_1024,c_1023,c_1022,c_973,c_969,c_965,c_961,c_960,c_959,c_958,c_957,c_956,c_955,c_954,c_953,c_925,c_924,c_923,c_922,c_921,c_920,c_891,c_889,c_888,c_886,c_885,c_890,c_887,c_842,c_841,c_840,c_839,c_838,c_821,c_820,c_818,c_795,c_794,c_793,c_777,c_772,c_771,c_770,c_769,c_754,c_753,c_752,c_745,c_744,c_743,c_722,c_719,c_718,c_721,c_720,c_701,c_703,c_702,c_684,c_686,c_685,c_667,c_669,c_668,c_653,c_652,c_651,c_639,c_638,c_630,c_615,c_617,c_616,c_604,c_603,c_596,c_595,c_594,c_589,c_588,c_579,c_578,c_577,c_576,c_572,c_559,c_557,c_545,c_527,c_354,c_353,c_352,c_351,c_350,c_349,c_348,c_347,c_346,c_345,c_344,c_343,c_342,c_341,c_340,c_339,c_338,c_337,c_336,c_335,c_334,c_329,c_328,c_327,c_326,c_325,c_324,c_323,c_322,c_321,c_320,c_319,c_330,c_332,c_333,c_76,c_75,c_74]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP355-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.37 % Computer : n010.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Wed Sep 23 14:33:42 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.44 % Proving...
% 4.91/2.29 % SZS status Started for theBenchmark.p
% 4.91/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.91/2.29
% 4.91/2.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.91/2.29
% 4.91/2.29 % ------ iProver source info
% 4.91/2.29
% 4.91/2.29 % git: date: 2026-07-19 20:42:38 +0200
% 4.91/2.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.91/2.29 % git: non_committed_changes: false
% 4.91/2.29
% 4.91/2.29 % ------ Parsing...% successful
% 4.91/2.29
% 4.91/2.29
% 4.91/2.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 4.91/2.29
% 4.91/2.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 4.91/2.29
% 4.91/2.29 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 4.91/2.29
% 4.91/2.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 4.91/2.29 % ------ Proving...
% 4.91/2.29 % ------ Problem Properties
% 4.91/2.29
% 4.91/2.29 %
% 4.91/2.29 % clauses 38
% 4.91/2.29 % conjectures 25
% 4.91/2.29 % EPR 22
% 4.91/2.29 % Horn 16
% 4.91/2.29 % unary 13
% 4.91/2.29 % binary 21
% 4.91/2.29 % lits 68
% 4.91/2.29 % lits eq 62
% 4.91/2.29 % fd_pure 0
% 4.91/2.29 % fd_pseudo 0
% 4.91/2.29 % fd_cond 0
% 4.91/2.29 % fd_pseudo_cond 0
% 4.91/2.29 % AC symbols 0
% 4.91/2.29
% 4.91/2.29 % ------ Schedule dynamic 5 is on
% 4.91/2.29
% 4.91/2.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.91/2.29
% 4.91/2.29
% 4.91/2.29 % ------
% 4.91/2.29 % Current options:
% 4.91/2.29 % ------
% 4.91/2.29
% 4.91/2.29
% 4.91/2.29 %
% 4.91/2.29
% 4.91/2.29 % ------ Proving...
% 4.91/2.29 %
% 4.91/2.29
% 4.91/2.29 % SZS status Unsatisfiable for theBenchmark.p
% 4.91/2.29
% 4.91/2.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.42/2.32
% 10.42/2.32
%------------------------------------------------------------------------------