%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP295-1 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:32:45 PM UTC 2026
% Result : Unsatisfiable 8.97s 2.27s
% Output : CNFRefutation 8.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 42
% Syntax : Number of formulae : 368 ( 95 unt; 11 def)
% Number of atoms : 1297 ( 666 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 533 ( 172 ~; 361 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 2 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 : 17 ( 15 usr; 16 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 67 ( 0 sgn 67 !; 0 ?; 53 :)
% 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_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c7 = inverse(sk_c3)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c7,sk_c6) = sk_c5 ),
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_c5 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
inference(reorient_equations,[],[f11]) ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f20,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f19]) ).
fof(f23,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f26,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f25]) ).
fof(f27,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f27]) ).
fof(f29,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f30,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f29]) ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f31]) ).
fof(f35,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f37]) ).
fof(f39,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f40,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f39]) ).
fof(f41,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c7,sk_c5) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c7 = inverse(sk_c3)
| sk_c5 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f47]) ).
fof(f49,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f50,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f49]) ).
fof(f51,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X3,sk_c5) != sk_c6
| inverse(X3) != sk_c6
| multiply(X2,sk_c6) != sk_c7
| inverse(X2) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != sk_c5
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6
| multiply(sk_c7,sk_c6) != sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c6 != multiply(X3,sk_c5)
| sk_c6 != inverse(X3)
| sk_c7 != multiply(X2,sk_c6)
| sk_c7 != inverse(X2)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X1)
| sk_c5 != multiply(X1,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7)
| multiply(sk_c7,sk_c6) != sk_c5 ),
inference(reorient_equations,[],[f65]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_86,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f20]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f26]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_98,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f30]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_101,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_103,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f40]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( multiply(sk_c4,sk_c5) = sk_c6 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f50]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c5 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(X3) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 )
| ( multiply(X3,sk_c5) != sk_c6 )
| ( multiply(X2,sk_c7) != sk_c5 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_414,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_116]) ).
tcf(c_415,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_416,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_417,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c7,sk_c6) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_418,definition,
iPr_def_14 = multiply(sk_c7,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_419,definition,
iPr_def_15 = multiply(sk_c7,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_420,definition,
iPr_def_16 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_421,definition,
iPr_def_17 = multiply(sk_c4,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_422,definition,
iPr_def_18 = inverse(sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_423,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_424,definition,
iPr_def_20 = multiply(sk_c3,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_425,definition,
iPr_def_21 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_426,definition,
iPr_def_22 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_427,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_428,definition,
iPr_def_24 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_429,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c5 )
| ( iPr_def_15 != sk_c6 )
| ( iPr_def_14 != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_417,c_420,c_419,c_418]) ).
tcf(c_430,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_416]) ).
tcf(c_431,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c5) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_415]) ).
tcf(c_432,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_414]) ).
tcf(c_433,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c5 ) ),
inference(demodulation,[status(thm)],[c_413]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_115,c_422,c_421]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_114,c_423]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_113,c_424]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_112,c_425]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_22 = sk_c5 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_110,c_426]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c5 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c5 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c5 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c5 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_105]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_15 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_95,c_428]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_460,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_461,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_462,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_463,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_697,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c7 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_436,c_437]) ).
tcf(c_732,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_437,c_418]) ).
tcf(c_744,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,sk_c5) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_437,c_419]) ).
tcf(c_748,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_439,c_419]) ).
tcf(c_762,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_19,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_435,c_420]) ).
tcf(c_776,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_439,c_421]) ).
tcf(c_777,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_438,c_421]) ).
tcf(c_806,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(sk_c4,iPr_def_22) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_443,c_421]) ).
tcf(c_807,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(sk_c7,iPr_def_22) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_443,c_419]) ).
tcf(c_821,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_17,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_444,c_420]) ).
tcf(c_838,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_445,c_420]) ).
tcf(c_839,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c7,iPr_def_19) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_445,c_418]) ).
tcf(c_926,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_448,c_421]) ).
tcf(c_994,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_447,c_424]) ).
tcf(c_996,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_445,c_424]) ).
tcf(c_997,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_444,c_424]) ).
tcf(c_998,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_19) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_435,c_424]) ).
tcf(c_999,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_17) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_434,c_424]) ).
tcf(c_1025,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c2,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_437,c_426]) ).
tcf(c_1042,plain,
multiply(iPr_def_21,sk_c3) = identity,
inference(superposition,[status(thm)],[c_425,c_84]) ).
tcf(c_1043,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_1044,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_427,c_84]) ).
tcf(c_1045,plain,
multiply(iPr_def_18,sk_c2) = identity,
inference(superposition,[status(thm)],[c_422,c_84]) ).
tcf(c_1071,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(iPr_def_19,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_450,c_420]) ).
tcf(c_1111,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_451,c_428]) ).
tcf(c_1115,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_23,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_451,c_418]) ).
tcf(c_1152,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_452,c_428]) ).
tcf(c_1156,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_23,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_452,c_418]) ).
tcf(c_1198,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_453,c_421]) ).
tcf(c_1250,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_454,c_424]) ).
tcf(c_1384,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_456,c_424]) ).
tcf(c_1387,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_456,c_446]) ).
tcf(c_1462,plain,
( ( iPr_def_15 = iPr_def_24 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_457,c_447]) ).
tcf(c_1536,plain,
( ( sk_c6 = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_458,c_421]) ).
tcf(c_1697,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_460,c_440]) ).
tcf(c_1773,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_461,c_441]) ).
tcf(c_1852,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_462,c_442]) ).
tcf(c_2037,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_18) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_697,c_426]) ).
tcf(c_2039,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_18,sk_c5) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_697,c_419]) ).
tcf(c_2040,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_18,sk_c6) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_697,c_418]) ).
tcf(c_2232,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_428,c_430]) ).
tcf(c_2233,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_22 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_426,c_430]) ).
tcf(c_2246,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_22 )
| ( sk_c7 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2233,c_422]) ).
tcf(c_2250,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_24 )
| ( sk_c7 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2232,c_427]) ).
tcf(c_2327,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_17 )
| ( inverse(sk_c4) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_421,c_431]) ).
tcf(c_2328,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( inverse(sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_419,c_431]) ).
tcf(c_2329,plain,
( ~ iPr_def_12
| ( sk_c6 != sk_c5 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_83,c_431]) ).
tcf(c_2351,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_19 )
| ( sk_c6 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_2327,c_423]) ).
tcf(c_2511,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_14 )
| ( inverse(sk_c7) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_418,c_432]) ).
tcf(c_2512,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_424,c_432]) ).
tcf(c_2531,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_21 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2512,c_425]) ).
tcf(c_2686,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_16 )
| ( inverse(sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_420,c_433]) ).
tcf(c_2688,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_22 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_426,c_433]) ).
tcf(c_2701,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_22 )
| ( sk_c7 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2688,c_422]) ).
tcf(c_2824,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_18 )
| ( iPr_def_14 != iPr_def_16 )
| ( sk_c5 != iPr_def_16 )
| ( sk_c6 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_438,c_429]) ).
tcf(c_3048,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_15 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1462,c_1387]) ).
tcf(c_3244,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c6,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_418,c_85]) ).
tcf(c_3245,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_420,c_85]) ).
tcf(c_3246,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c6,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_424,c_85]) ).
tcf(c_3248,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c7,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_428,c_85]) ).
tcf(c_3249,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_3250,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_426,c_85]) ).
tcf(c_3252,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_3254,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1042,c_85]) ).
tcf(c_3255,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1043,c_85]) ).
tcf(c_3256,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1044,c_85]) ).
tcf(c_3257,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1045,c_85]) ).
tcf(c_3263,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3257,c_83]) ).
tcf(c_3264,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3256,c_83]) ).
tcf(c_3265,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3255,c_83]) ).
tcf(c_3266,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3254,c_83]) ).
tcf(c_3381,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(iPr_def_19,sk_c7) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1697,c_420]) ).
tcf(c_3567,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1852,c_1773]) ).
tcf(c_3632,plain,
multiply(iPr_def_18,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_426,c_3263]) ).
tcf(c_3635,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_22,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3632,c_85]) ).
tcf(c_3656,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_17) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_434,c_732]) ).
tcf(c_3856,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_16) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_438,c_744]) ).
tcf(c_4130,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c7,
inference(superposition,[status(thm)],[c_428,c_3264]) ).
tcf(c_4175,plain,
multiply(iPr_def_19,iPr_def_17) = sk_c5,
inference(superposition,[status(thm)],[c_421,c_3265]) ).
tcf(c_4185,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_17,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4175,c_85]) ).
tcf(c_4187,plain,
multiply(iPr_def_21,iPr_def_20) = sk_c6,
inference(superposition,[status(thm)],[c_424,c_3266]) ).
tcf(c_4201,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_20,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_4187,c_85]) ).
tcf(c_4218,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_18,iPr_def_14) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_3567,c_3632]) ).
tcf(c_4308,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_20) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_436,c_762]) ).
tcf(c_4664,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_776,c_3265]) ).
tcf(c_4665,plain,
( ( sk_c5 = iPr_def_22 )
| ( sk_c6 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_4664,c_4175]) ).
tcf(c_4683,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_777,c_3265]) ).
tcf(c_4684,plain,
( ( sk_c5 = iPr_def_16 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_4683,c_4175]) ).
tcf(c_4879,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_806,c_3265]) ).
tcf(c_4880,plain,
( ( sk_c5 = iPr_def_22 )
| ( sk_c5 = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_4879,c_4175]) ).
tcf(c_5856,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_994,c_3266]) ).
tcf(c_5857,plain,
( ( sk_c6 = iPr_def_15 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_5856,c_4187]) ).
tcf(c_5880,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_996,c_3266]) ).
tcf(c_5881,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5880,c_4187]) ).
tcf(c_5892,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_997,c_3266]) ).
tcf(c_5893,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c6 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5892,c_4187]) ).
tcf(c_5904,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_998,c_3266]) ).
tcf(c_5905,plain,
( ( sk_c6 = iPr_def_19 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5904,c_4187]) ).
tcf(c_5916,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_999,c_3266]) ).
tcf(c_5917,plain,
( ( sk_c6 = iPr_def_17 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5916,c_4187]) ).
tcf(c_5928,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(iPr_def_18,iPr_def_22) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1025,c_3263]) ).
tcf(c_5929,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_5928,c_3632]) ).
tcf(c_6341,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_456,c_1115]) ).
tcf(c_6354,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6341,c_4130]) ).
tcf(c_6926,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_457,c_1156]) ).
tcf(c_6940,plain,
( ( sk_c7 = iPr_def_21 )
| ( sk_c7 = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_6926,c_4130]) ).
tcf(c_7039,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1250,c_3266]) ).
tcf(c_7040,plain,
( ( sk_c6 = iPr_def_24 )
| ( sk_c6 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_7039,c_4187]) ).
tcf(c_7209,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6940,c_6354]) ).
tcf(c_7617,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_21,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1384,c_3266]) ).
tcf(c_7618,plain,
( ( sk_c6 = iPr_def_24 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_7617,c_4187]) ).
tcf(c_8703,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_7209,c_452]) ).
tcf(c_8704,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_7209,c_451]) ).
tcf(c_8705,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_14) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_7209,c_428]) ).
tcf(c_8706,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_14) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_7209,c_426]) ).
tcf(c_8707,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c6,iPr_def_14) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_7209,c_420]) ).
tcf(c_8708,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_14,sk_c5) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_7209,c_419]) ).
tcf(c_11086,plain,
multiply(sk_c7,iPr_def_16) = multiply(iPr_def_14,sk_c7),
inference(superposition,[status(thm)],[c_420,c_3244]) ).
tcf(c_11343,plain,
multiply(sk_c6,iPr_def_14) = multiply(iPr_def_16,sk_c6),
inference(superposition,[status(thm)],[c_418,c_3245]) ).
tcf(c_11346,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c6,iPr_def_14) = multiply(iPr_def_16,iPr_def_19) ) ),
inference(superposition,[status(thm)],[c_839,c_3245]) ).
tcf(c_11610,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(iPr_def_16,iPr_def_19) = multiply(iPr_def_19,iPr_def_14) ) ),
inference(superposition,[status(thm)],[c_445,c_11343]) ).
tcf(c_11772,plain,
multiply(sk_c3,iPr_def_16) = multiply(iPr_def_20,sk_c7),
inference(superposition,[status(thm)],[c_420,c_3246]) ).
tcf(c_11783,plain,
multiply(sk_c3,multiply(iPr_def_16,sk_c6)) = multiply(iPr_def_20,iPr_def_14),
inference(superposition,[status(thm)],[c_11343,c_3246]) ).
tcf(c_11882,plain,
multiply(iPr_def_21,multiply(iPr_def_20,sk_c7)) = iPr_def_16,
inference(superposition,[status(thm)],[c_11772,c_3266]) ).
tcf(c_11919,plain,
multiply(sk_c1,iPr_def_14) = multiply(iPr_def_24,sk_c6),
inference(superposition,[status(thm)],[c_418,c_3248]) ).
tcf(c_12236,plain,
multiply(sk_c2,iPr_def_14) = multiply(iPr_def_22,sk_c6),
inference(superposition,[status(thm)],[c_418,c_3250]) ).
tcf(c_12237,plain,
multiply(sk_c2,iPr_def_15) = multiply(iPr_def_22,sk_c5),
inference(superposition,[status(thm)],[c_419,c_3250]) ).
tcf(c_13004,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c5,sk_c7) = multiply(iPr_def_19,iPr_def_16) ) ),
inference(superposition,[status(thm)],[c_821,c_4185]) ).
tcf(c_13477,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c6) = iPr_def_24 ) ),
inference(light_normalisation,[status(thm)],[c_8705,c_11919]) ).
tcf(c_13570,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c6) = iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_8706,c_12236]) ).
tcf(c_13677,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c6) = iPr_def_16 ) ),
inference(light_normalisation,[status(thm)],[c_8707,c_11343]) ).
tcf(c_15471,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3252,c_83]) ).
tcf(c_15476,plain,
multiply(inverse(sk_c7),iPr_def_14) = sk_c6,
inference(superposition,[status(thm)],[c_418,c_15471]) ).
tcf(c_15479,plain,
multiply(inverse(sk_c4),iPr_def_17) = sk_c5,
inference(superposition,[status(thm)],[c_421,c_15471]) ).
tcf(c_15481,plain,
multiply(inverse(sk_c7),iPr_def_15) = sk_c5,
inference(superposition,[status(thm)],[c_419,c_15471]) ).
tcf(c_15483,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_15471]) ).
tcf(c_15484,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_15471]) ).
tcf(c_15538,plain,
( ( sk_c6 = iPr_def_24 )
| ( multiply(inverse(sk_c4),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1536,c_15471]) ).
tcf(c_15539,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(inverse(sk_c4),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1198,c_15471]) ).
tcf(c_15540,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(inverse(sk_c4),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_926,c_15471]) ).
tcf(c_15541,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(inverse(sk_c4),iPr_def_17) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_777,c_15471]) ).
tcf(c_15632,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3266,c_15471]) ).
tcf(c_15633,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3265,c_15471]) ).
tcf(c_15634,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3264,c_15471]) ).
tcf(c_15635,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3263,c_15471]) ).
tcf(c_15694,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_15471,c_15471]) ).
tcf(c_16920,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_8704,c_8703]) ).
tcf(c_17072,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_15484,c_15694]) ).
tcf(c_17084,plain,
multiply(sk_c7,sk_c6) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_17072,c_3244]) ).
tcf(c_17087,plain,
multiply(sk_c6,sk_c7) = multiply(iPr_def_16,identity),
inference(superposition,[status(thm)],[c_17072,c_3245]) ).
tcf(c_17088,plain,
multiply(sk_c6,identity) = multiply(iPr_def_21,iPr_def_20),
inference(superposition,[status(thm)],[c_17072,c_4201]) ).
tcf(c_17089,plain,
multiply(sk_c5,identity) = multiply(iPr_def_19,iPr_def_17),
inference(superposition,[status(thm)],[c_17072,c_4185]) ).
tcf(c_17090,plain,
multiply(sk_c7,sk_c5) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_17072,c_3249]) ).
tcf(c_17093,plain,
multiply(sk_c7,identity) = multiply(iPr_def_18,iPr_def_22),
inference(superposition,[status(thm)],[c_17072,c_3635]) ).
tcf(c_17098,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_17072,c_15483]) ).
tcf(c_17099,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_17093,c_3632]) ).
tcf(c_17102,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_17090,c_419]) ).
tcf(c_17103,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_17089,c_4175]) ).
tcf(c_17104,plain,
multiply(sk_c6,identity) = sk_c6,
inference(light_normalisation,[status(thm)],[c_17088,c_4187]) ).
tcf(c_17105,plain,
multiply(iPr_def_16,identity) = iPr_def_16,
inference(light_normalisation,[status(thm)],[c_17087,c_420]) ).
tcf(c_17108,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_17084,c_418]) ).
tcf(c_17132,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c6 != iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_697,c_2246]) ).
tcf(c_17534,plain,
( ( sk_c7 = iPr_def_20 )
| ~ iPr_def_13
| ( sk_c6 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_451,c_2250]) ).
tcf(c_17721,plain,
( ( sk_c7 = iPr_def_20 )
| ~ iPr_def_13 ),
inference(global_subsumption_just,[status(thm)],[c_17534,c_7618,c_17534]) ).
tcf(c_17759,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_434,c_2351]) ).
tcf(c_17938,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_12 ),
inference(global_subsumption_just,[status(thm)],[c_17759,c_5905,c_17759]) ).
tcf(c_18052,plain,
( ( sk_c7 = iPr_def_14 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_6354,c_2531]) ).
tcf(c_18063,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_436,c_2531]) ).
tcf(c_18225,plain,
( ( sk_c7 = iPr_def_18 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_18063,c_5929,c_18063]) ).
tcf(c_18797,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_21)) != sk_c7 )
| ( multiply(sk_c3,sk_c7) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_15632,c_433]) ).
tcf(c_18798,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_21)) != sk_c7 )
| ( multiply(sk_c3,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_15632,c_430]) ).
tcf(c_18804,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_15632,c_15471]) ).
tcf(c_18805,plain,
multiply(sk_c3,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_15632,c_17072]) ).
tcf(c_18833,plain,
inverse(iPr_def_21) = sk_c3,
inference(demodulation,[status(thm)],[c_18805,c_17072]) ).
tcf(c_18843,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_14) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_732,c_18804]) ).
tcf(c_18850,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_3656,c_18804]) ).
tcf(c_18852,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_3856,c_18804]) ).
tcf(c_18853,plain,
multiply(sk_c3,sk_c6) = iPr_def_20,
inference(superposition,[status(thm)],[c_4187,c_18804]) ).
tcf(c_19286,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_15633,c_15471]) ).
tcf(c_19610,plain,
( ( iPr_def_14 = iPr_def_22 )
| ( multiply(sk_c4,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_3381,c_19286]) ).
tcf(c_19611,plain,
( ( sk_c7 = iPr_def_23 )
| ( multiply(sk_c4,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_1071,c_19286]) ).
tcf(c_19612,plain,
( ( sk_c6 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_838,c_19286]) ).
tcf(c_19613,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_762,c_19286]) ).
tcf(c_19615,plain,
multiply(sk_c4,sk_c5) = iPr_def_17,
inference(superposition,[status(thm)],[c_4175,c_19286]) ).
tcf(c_19618,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c4,iPr_def_16) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_4308,c_19286]) ).
tcf(c_19793,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_23)) != sk_c7 )
| ( multiply(sk_c1,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_15634,c_430]) ).
tcf(c_19794,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_15634,c_84]) ).
tcf(c_19799,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_15634,c_15471]) ).
tcf(c_19800,plain,
multiply(sk_c1,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_15634,c_17072]) ).
tcf(c_19815,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_24 )
| ( inverse(inverse(iPr_def_23)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_19793,c_428]) ).
tcf(c_19824,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1152,c_19794]) ).
tcf(c_19825,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1111,c_19794]) ).
tcf(c_19987,plain,
( ~ iPr_def_12
| ( sk_c6 != identity )
| ( sk_c6 != sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_2329,c_17098]) ).
tcf(c_20015,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_12
| ( identity != iPr_def_24 )
| ( sk_c6 != sk_c5 ) ),
inference(superposition,[status(thm)],[c_454,c_19987]) ).
tcf(c_20120,plain,
( ~ iPr_def_11
| ( inverse(sk_c7) != sk_c7 ) ),
inference(global_subsumption_just,[status(thm)],[c_2511,c_2511,c_6940,c_18052]) ).
tcf(c_20140,plain,
( ( sk_c7 = iPr_def_21 )
| ~ iPr_def_11
| ( inverse(iPr_def_23) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_452,c_20120]) ).
tcf(c_20141,plain,
( ( sk_c7 = iPr_def_20 )
| ~ iPr_def_11
| ( inverse(iPr_def_23) != iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_451,c_20120]) ).
tcf(c_20264,plain,
( ( inverse(iPr_def_23) != iPr_def_23 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_20140,c_2531,c_20141,c_20140]) ).
tcf(c_20265,plain,
( ~ iPr_def_11
| ( inverse(iPr_def_23) != iPr_def_23 ) ),
inference(renaming,[status(thm)],[c_20264]) ).
tcf(c_20368,plain,
( ~ iPr_def_10
| ( inverse(sk_c6) != sk_c7 ) ),
inference(global_subsumption_just,[status(thm)],[c_2686,c_2701,c_2686,c_4684,c_4880]) ).
tcf(c_20392,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_10
| ( inverse(iPr_def_24) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_454,c_20368]) ).
tcf(c_21066,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19825,c_19824]) ).
tcf(c_22166,plain,
inverse(iPr_def_23) = sk_c1,
inference(demodulation,[status(thm)],[c_19800,c_17072]) ).
tcf(c_22179,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_14) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_16920,c_22166]) ).
tcf(c_22240,plain,
multiply(sk_c1,sk_c7) = iPr_def_24,
inference(superposition,[status(thm)],[c_4130,c_19799]) ).
tcf(c_22743,plain,
( ( sk_c6 = iPr_def_17 )
| ~ iPr_def_10 ),
inference(global_subsumption_just,[status(thm)],[c_20392,c_2701,c_4665,c_5917]) ).
tcf(c_23242,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_21066,c_83]) ).
tcf(c_23256,plain,
( ~ iPr_def_10
| ( inverse(inverse(iPr_def_18)) != sk_c7 )
| ( multiply(sk_c2,sk_c7) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_15635,c_433]) ).
tcf(c_23257,plain,
( ~ iPr_def_13
| ( inverse(inverse(iPr_def_18)) != sk_c7 )
| ( multiply(sk_c2,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_15635,c_430]) ).
tcf(c_23258,plain,
multiply(sk_c2,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_15635,c_84]) ).
tcf(c_23261,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_18)) != sk_c6 )
| ( multiply(sk_c2,sk_c5) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_15635,c_431]) ).
tcf(c_23262,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_18)) != sk_c7 )
| ( multiply(sk_c2,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_15635,c_432]) ).
tcf(c_23263,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_15635,c_15471]) ).
tcf(c_23264,plain,
multiply(sk_c2,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_15635,c_17072]) ).
tcf(c_23271,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_22 )
| ( inverse(inverse(iPr_def_18)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_23257,c_426]) ).
tcf(c_23275,plain,
( ~ iPr_def_10
| ( sk_c5 != iPr_def_22 )
| ( inverse(inverse(iPr_def_18)) != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_23256,c_426]) ).
tcf(c_23279,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_2037,c_23258]) ).
tcf(c_23354,plain,
inverse(iPr_def_18) = sk_c2,
inference(demodulation,[status(thm)],[c_23264,c_17072]) ).
tcf(c_23795,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23279,c_17098]) ).
tcf(c_23797,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_22,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_23279,c_83]) ).
tcf(c_23910,plain,
multiply(sk_c2,identity) = sk_c2,
inference(superposition,[status(thm)],[c_1045,c_23263]) ).
tcf(c_23911,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_15) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_2039,c_23263]) ).
tcf(c_23913,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(sk_c2,iPr_def_14) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_2040,c_23263]) ).
tcf(c_23916,plain,
multiply(sk_c2,sk_c7) = iPr_def_22,
inference(superposition,[status(thm)],[c_3632,c_23263]) ).
tcf(c_23937,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c6) = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_23913,c_12236]) ).
tcf(c_23943,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_22,sk_c5) = sk_c5 ) ),
inference(light_normalisation,[status(thm)],[c_23911,c_12237]) ).
tcf(c_25597,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_23242,c_13477]) ).
tcf(c_25801,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_23797,c_13570]) ).
tcf(c_28958,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_25801,c_25597,c_23943,c_23937,c_23916,c_23910,c_23795,c_23354,c_23275,c_23271,c_23262,c_23261,c_23256,c_23258,c_22743,c_22240,c_22179,c_22166,c_20265,c_20120,c_20015,c_19815,c_19794,c_19618,c_19615,c_19613,c_19612,c_19611,c_19610,c_18853,c_18852,c_18850,c_18843,c_18833,c_18798,c_18797,c_18805,c_18225,c_17938,c_17721,c_17132,c_17108,c_17105,c_17104,c_17103,c_17102,c_17099,c_17093,c_17090,c_17089,c_17088,c_17087,c_17084,c_15541,c_15540,c_15539,c_15538,c_15481,c_15479,c_15476,c_13677,c_13004,c_12236,c_11882,c_11783,c_11772,c_11610,c_11346,c_11343,c_11086,c_8708,c_7209,c_7040,c_5929,c_5893,c_5881,c_5857,c_4218,c_3567,c_3048,c_2824,c_2328,c_999,c_807,c_748,c_697,c_463,c_462,c_443,c_429,c_427,c_425,c_422]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP295-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.36 % Computer : n007.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Wed Sep 23 14:21:22 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.11/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 0.11/0.41
% 0.11/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.11/0.41
% 0.11/0.42 % Detected problem language: tptp
% 0.11/0.43 % Proving...
% 8.97/2.27 % SZS status Started for theBenchmark.p
% 8.97/2.27 % SZS status Unsatisfiable for theBenchmark.p
% 8.97/2.27
% 8.97/2.27 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.97/2.27
% 8.97/2.27 % ------ iProver source info
% 8.97/2.27
% 8.97/2.27 % git: date: 2026-07-19 20:42:38 +0200
% 8.97/2.27 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.97/2.27 % git: non_committed_changes: false
% 8.97/2.27
% 8.97/2.27 % ------ Parsing...% successful
% 8.97/2.27
% 8.97/2.27
% 8.97/2.27 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.97/2.27
% 8.97/2.27 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 8.97/2.27
% 8.97/2.27 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.97/2.27
% 8.97/2.27 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 8.97/2.27 % ------ Proving...
% 8.97/2.27 % ------ Problem Properties
% 8.97/2.27
% 8.97/2.27 %
% 8.97/2.27 % clauses 49
% 8.97/2.27 % conjectures 35
% 8.97/2.27 % EPR 31
% 8.97/2.27 % Horn 18
% 8.97/2.27 % unary 14
% 8.97/2.27 % binary 30
% 8.97/2.27 % lits 93
% 8.97/2.27 % lits eq 85
% 8.97/2.27 % fd_pure 0
% 8.97/2.27 % fd_pseudo 0
% 8.97/2.27 % fd_cond 0
% 8.97/2.27 % fd_pseudo_cond 0
% 8.97/2.27 % AC symbols 0
% 8.97/2.27
% 8.97/2.27 % ------ Schedule dynamic 5 is on
% 8.97/2.27
% 8.97/2.27 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.97/2.27
% 8.97/2.27
% 8.97/2.27 % ------
% 8.97/2.27 % Current options:
% 8.97/2.27 % ------
% 8.97/2.27
% 8.97/2.27
% 8.97/2.27 %
% 8.97/2.27
% 8.97/2.27 % ------ Proving...
% 8.97/2.27 %
% 8.97/2.27
% 8.97/2.27 % SZS status Unsatisfiable for theBenchmark.p
% 8.97/2.27
% 8.97/2.27 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.97/2.28
% 8.97/2.28
%------------------------------------------------------------------------------