%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP381-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 01:33:36 PM UTC 2026
% Result : Unsatisfiable 15.71s 3.29s
% Output : CNFRefutation 15.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 42
% Syntax : Number of formulae : 336 ( 124 unt; 11 def)
% Number of atoms : 1085 ( 588 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 463 ( 162 ~; 301 |; 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 : 85 ( 0 sgn 85 !; 0 ?; 71 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_identity) ).
fof(f2,axiom,
! [X0] : multiply(inverse(X0),X0) = identity,
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
fof(f3,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(reorient_equations,[],[f2]) ).
fof(f4,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP004-0.ax',associativity) ).
fof(f5,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f7,plain,
( sk_c7 = inverse(sk_c3)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f6]) ).
fof(f8,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c6 = inverse(sk_c4)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f13,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| inverse(sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f12]) ).
fof(f14,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f15,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f14]) ).
fof(f16,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
inference(reorient_equations,[],[f18]) ).
fof(f26,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f26]) ).
fof(f28,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f29,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f28]) ).
fof(f30,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f31,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f30]) ).
fof(f32,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f32]) ).
fof(f36,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f38]) ).
fof(f40,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f41,plain,
( sk_c6 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f40]) ).
fof(f42,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f42]) ).
fof(f46,negated_conjecture,
( inverse(sk_c3) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c3)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f46]) ).
fof(f48,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f49,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f48]) ).
fof(f50,negated_conjecture,
( inverse(sk_c4) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f51,plain,
( sk_c6 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f50]) ).
fof(f52,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| multiply(sk_c2,sk_c6) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = multiply(sk_c2,sk_c6) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( inverse(sk_c3) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( multiply(sk_c3,sk_c6) = sk_c7
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c4) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c4,sk_c5) = sk_c6
| inverse(sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,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_c6
| multiply(X1,sk_c6) != sk_c7
| inverse(X0) != sk_c7
| multiply(X0,sk_c7) != sk_c6
| multiply(sk_c6,sk_c5) != sk_c7
| inverse(sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,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)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(X1)
| sk_c7 != multiply(X1,sk_c6)
| inverse(X0) != sk_c7
| sk_c6 != multiply(X0,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c5)
| inverse(sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f64]) ).
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,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f5]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f7]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( inverse(sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_90,negated_conjecture,
( ( inverse(sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f13]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c6,sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f15]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,negated_conjecture,
( ( multiply(sk_c3,sk_c6) = sk_c7 )
| ( multiply(sk_c6,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_98,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f29]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c1,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f31]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f41]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f43]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c3) = sk_c7 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_108,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f49]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c6 )
| ( multiply(sk_c2,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f51]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c2,sk_c6) = sk_c7 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c3) = sk_c7 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c3,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( inverse(sk_c4) = sk_c6 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c2) = sk_c6 )
| ( multiply(sk_c4,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c7) != sk_c6 )
| ( inverse(X3) != sk_c6 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(X3,sk_c5) != sk_c6 )
| ( multiply(X2,sk_c6) != sk_c7 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(cnf_transformation,[],[f65]) ).
tcf(c_413,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
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_c6 )
| ( 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
| ( inverse(sk_c7) != sk_c6 )
| ( multiply(sk_c6,sk_c5) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c5 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_418,definition,
iPr_def_14 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_419,definition,
iPr_def_15 = multiply(sk_c6,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_420,definition,
iPr_def_16 = inverse(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_c6),
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_c6 )
| ( iPr_def_15 != sk_c7 )
| ( 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_c6 )
| ( 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_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_413]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( 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_c6 ) ),
inference(demodulation,[status(thm)],[c_114,c_423]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_113,c_424]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_18 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_112,c_425]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_18 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_110,c_426]) ).
tcf(c_440,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_108]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_22 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_105,c_427]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_103]) ).
tcf(c_447,negated_conjecture,
( ( iPr_def_23 = sk_c7 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100,c_428]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_20 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_98]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c6 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_458,negated_conjecture,
( ( iPr_def_15 = sk_c7 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_459,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_460,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_461,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_462,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_463,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_464,plain,
! [X0: $i] : X0 = X0,
theory(equality) ).
tcf(c_465,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = X0 )
| ( X2 != X1 )
| ( X0 != X1 ) ),
theory(equality) ).
tcf(c_470,plain,
sk_c6 = sk_c6,
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_698,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_436,c_437]) ).
tcf(c_751,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c6,iPr_def_22) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_440,c_418]) ).
tcf(c_841,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c6 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_444,c_439]) ).
tcf(c_873,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_445,c_440]) ).
tcf(c_925,plain,
! [X0: $i,X1: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_926,plain,
! [X0: $i] :
( ( sk_c7 = X0 )
| ( sk_c7 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_925]) ).
tcf(c_927,plain,
sk_c7 = sk_c7,
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_965,plain,
! [X0: $i,X1: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_966,plain,
( ( sk_c6 = sk_c7 )
| ( sk_c6 != sk_c6 )
| ( sk_c7 != sk_c6 ) ),
inference(instantiation,[status(thm)],[c_965]) ).
tcf(c_1026,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_447,c_428]) ).
tcf(c_1027,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_446,c_428]) ).
tcf(c_1030,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_442,c_428]) ).
tcf(c_1031,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c1,iPr_def_22) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_441,c_428]) ).
tcf(c_1034,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_437,c_428]) ).
tcf(c_1035,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_20) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_436,c_428]) ).
tcf(c_1061,plain,
! [X0: $i] :
( ( X0 = sk_c7 )
| ( sk_c7 != iPr_def_21 )
| ( X0 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_965]) ).
tcf(c_1072,plain,
multiply(iPr_def_16,sk_c7) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_1073,plain,
multiply(iPr_def_21,sk_c3) = identity,
inference(superposition,[status(thm)],[c_425,c_84]) ).
tcf(c_1074,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_1075,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_427,c_84]) ).
tcf(c_1076,plain,
multiply(iPr_def_18,sk_c2) = identity,
inference(superposition,[status(thm)],[c_422,c_84]) ).
tcf(c_1112,plain,
! [X0: $i,X1: $i] :
( ( X0 = iPr_def_21 )
| ( iPr_def_21 != X1 )
| ( X0 != X1 ) ),
inference(instantiation,[status(thm)],[c_465]) ).
tcf(c_1153,plain,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_21 != iPr_def_21 )
| ( sk_c7 != iPr_def_21 ) ),
inference(instantiation,[status(thm)],[c_1061]) ).
tcf(c_1154,plain,
iPr_def_21 = iPr_def_21,
inference(instantiation,[status(thm)],[c_464]) ).
tcf(c_1261,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_452,c_451]) ).
tcf(c_1346,plain,
( ( sk_c7 = iPr_def_22 )
| ( iPr_def_22 != sk_c7 )
| ( sk_c7 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_926]) ).
tcf(c_1649,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c7 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_457,c_456]) ).
tcf(c_1716,plain,
! [X0: $i] :
( ( X0 = iPr_def_21 )
| ( iPr_def_21 != sk_c7 )
| ( X0 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1112]) ).
tcf(c_1717,plain,
( ( sk_c6 = iPr_def_21 )
| ( iPr_def_21 != sk_c7 )
| ( sk_c6 != sk_c7 ) ),
inference(instantiation,[status(thm)],[c_1716]) ).
tcf(c_1782,plain,
( ( sk_c7 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_458,c_421]) ).
tcf(c_1863,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( sk_c6 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_460,c_459]) ).
tcf(c_2036,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_462,c_461]) ).
tcf(c_2254,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_873,c_841]) ).
tcf(c_2337,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_24 )
| ( inverse(sk_c1) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_428,c_430]) ).
tcf(c_2340,plain,
( ~ iPr_def_13
| ( sk_c6 != identity )
| ( inverse(iPr_def_16) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_1072,c_430]) ).
tcf(c_2365,plain,
( ~ iPr_def_13
| ( sk_c6 != iPr_def_24 )
| ( sk_c7 != iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_2337,c_427]) ).
tcf(c_2527,plain,
( ~ iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( inverse(sk_c6) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_419,c_431]) ).
tcf(c_2598,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c3) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_424,c_432]) ).
tcf(c_2599,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_22 )
| ( inverse(sk_c2) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_426,c_432]) ).
tcf(c_2600,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c6 )
| ( inverse(identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_83,c_432]) ).
tcf(c_2614,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_18 )
| ( sk_c7 != iPr_def_22 ) ),
inference(light_normalisation,[status(thm)],[c_2599,c_422]) ).
tcf(c_2618,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_21 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2598,c_425]) ).
tcf(c_2707,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 )
| ( inverse(sk_c3) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_424,c_433]) ).
tcf(c_2708,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( inverse(sk_c2) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_426,c_433]) ).
tcf(c_2723,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_22 )
| ( sk_c7 != iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_2708,c_422]) ).
tcf(c_2727,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_21 )
| ( sk_c7 != iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_2707,c_425]) ).
tcf(c_3297,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_418,c_85]) ).
tcf(c_3298,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_3300,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c5,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_419,c_85]) ).
tcf(c_3301,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_3304,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_3306,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1072,c_85]) ).
tcf(c_3307,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1073,c_85]) ).
tcf(c_3308,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1074,c_85]) ).
tcf(c_3309,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1075,c_85]) ).
tcf(c_3310,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1076,c_85]) ).
tcf(c_3316,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3310,c_83]) ).
tcf(c_3317,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3309,c_83]) ).
tcf(c_3318,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3308,c_83]) ).
tcf(c_3319,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3307,c_83]) ).
tcf(c_3320,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c7,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3306,c_83]) ).
tcf(c_3433,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_18 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_1261,c_698]) ).
tcf(c_3438,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c5) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1261,c_419]) ).
tcf(c_3439,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_24,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1261,c_418]) ).
tcf(c_4024,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c6 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_1863,c_450]) ).
tcf(c_4027,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( iPr_def_16 = iPr_def_24 )
| ( sk_c6 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_1863,c_449]) ).
tcf(c_4180,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_16 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_2036,c_1261]) ).
tcf(c_4195,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_16,sk_c7) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_2036,c_418]) ).
tcf(c_4202,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_14 ) ),
inference(light_normalisation,[status(thm)],[c_4195,c_1072]) ).
tcf(c_4402,plain,
multiply(iPr_def_18,iPr_def_22) = sk_c6,
inference(superposition,[status(thm)],[c_426,c_3316]) ).
tcf(c_4407,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c7,
inference(superposition,[status(thm)],[c_428,c_3317]) ).
tcf(c_4423,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_24) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_2254,c_4407]) ).
tcf(c_4484,plain,
multiply(iPr_def_19,iPr_def_17) = sk_c5,
inference(superposition,[status(thm)],[c_421,c_3318]) ).
tcf(c_4487,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_17,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_4484,c_85]) ).
tcf(c_4589,plain,
multiply(iPr_def_21,iPr_def_20) = sk_c6,
inference(superposition,[status(thm)],[c_424,c_3319]) ).
tcf(c_4810,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_4180,c_4407]) ).
tcf(c_7692,plain,
( ( sk_c7 = iPr_def_21 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1030,c_3317]) ).
tcf(c_7693,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7692,c_4407]) ).
tcf(c_7712,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_1031,c_3317]) ).
tcf(c_7713,plain,
( ( sk_c7 = iPr_def_22 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_7712,c_4407]) ).
tcf(c_7763,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_1034,c_3317]) ).
tcf(c_7764,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c7 = iPr_def_21 ) ),
inference(light_normalisation,[status(thm)],[c_7763,c_4407]) ).
tcf(c_7775,plain,
( ( sk_c6 = iPr_def_18 )
| ( multiply(iPr_def_23,iPr_def_24) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_1035,c_3317]) ).
tcf(c_7776,plain,
( ( sk_c6 = iPr_def_18 )
| ( sk_c7 = iPr_def_20 ) ),
inference(light_normalisation,[status(thm)],[c_7775,c_4407]) ).
tcf(c_11472,plain,
multiply(sk_c3,iPr_def_14) = multiply(iPr_def_20,sk_c7),
inference(superposition,[status(thm)],[c_418,c_3298]) ).
tcf(c_11473,plain,
multiply(sk_c3,iPr_def_15) = multiply(iPr_def_20,sk_c5),
inference(superposition,[status(thm)],[c_419,c_3298]) ).
tcf(c_11476,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c3,iPr_def_14) = multiply(iPr_def_20,iPr_def_22) ) ),
inference(superposition,[status(thm)],[c_751,c_3298]) ).
tcf(c_13294,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_3304,c_83]) ).
tcf(c_13321,plain,
multiply(inverse(sk_c6),iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_418,c_13294]) ).
tcf(c_13324,plain,
multiply(inverse(sk_c6),iPr_def_15) = sk_c5,
inference(superposition,[status(thm)],[c_419,c_13294]) ).
tcf(c_13327,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_13294]) ).
tcf(c_13328,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_13294]) ).
tcf(c_13329,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(inverse(multiply(X0,X1)),multiply(X0,multiply(X1,X2))) = X2,
inference(superposition,[status(thm)],[c_85,c_13294]) ).
tcf(c_13418,plain,
multiply(inverse(iPr_def_16),identity) = sk_c7,
inference(superposition,[status(thm)],[c_1072,c_13294]) ).
tcf(c_13483,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3320,c_13294]) ).
tcf(c_13484,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_3319,c_13294]) ).
tcf(c_13485,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_3318,c_13294]) ).
tcf(c_13486,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_3317,c_13294]) ).
tcf(c_13487,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3316,c_13294]) ).
tcf(c_13535,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_13294,c_13294]) ).
tcf(c_14312,plain,
multiply(sk_c7,identity) = sk_c7,
inference(demodulation,[status(thm)],[c_13418,c_13483]) ).
tcf(c_14356,plain,
multiply(sk_c1,sk_c7) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_14312,c_3301]) ).
tcf(c_14357,plain,
multiply(sk_c6,sk_c7) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_14312,c_3297]) ).
tcf(c_14360,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_14357,c_418]) ).
tcf(c_14361,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_14356,c_428]) ).
tcf(c_14526,plain,
multiply(inverse(iPr_def_24),iPr_def_24) = identity,
inference(superposition,[status(thm)],[c_14361,c_13294]) ).
tcf(c_14678,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_13328,c_13535]) ).
tcf(c_14709,plain,
multiply(sk_c3,sk_c6) = multiply(iPr_def_20,identity),
inference(superposition,[status(thm)],[c_14678,c_3298]) ).
tcf(c_14710,plain,
multiply(sk_c5,identity) = multiply(iPr_def_19,iPr_def_17),
inference(superposition,[status(thm)],[c_14678,c_4487]) ).
tcf(c_14711,plain,
multiply(sk_c6,sk_c5) = multiply(iPr_def_15,identity),
inference(superposition,[status(thm)],[c_14678,c_3300]) ).
tcf(c_14719,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_14678,c_13327]) ).
tcf(c_14722,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(light_normalisation,[status(thm)],[c_14711,c_419]) ).
tcf(c_14723,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_14710,c_4484]) ).
tcf(c_14724,plain,
multiply(iPr_def_20,identity) = iPr_def_20,
inference(light_normalisation,[status(thm)],[c_14709,c_424]) ).
tcf(c_14911,plain,
multiply(sk_c7,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_13483,c_84]) ).
tcf(c_14917,plain,
! [X0: $i] : multiply(sk_c7,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_13483,c_13294]) ).
tcf(c_14918,plain,
multiply(sk_c7,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_13483,c_14678]) ).
tcf(c_14997,plain,
multiply(sk_c1,identity) = multiply(iPr_def_24,iPr_def_16),
inference(superposition,[status(thm)],[c_14911,c_3301]) ).
tcf(c_14998,plain,
multiply(sk_c6,identity) = multiply(iPr_def_14,iPr_def_16),
inference(superposition,[status(thm)],[c_14911,c_3297]) ).
tcf(c_15191,plain,
inverse(iPr_def_16) = sk_c7,
inference(demodulation,[status(thm)],[c_14918,c_14678]) ).
tcf(c_15506,plain,
multiply(iPr_def_24,iPr_def_16) = sk_c1,
inference(demodulation,[status(thm)],[c_14997,c_14678]) ).
tcf(c_15509,plain,
multiply(inverse(iPr_def_24),sk_c1) = iPr_def_16,
inference(superposition,[status(thm)],[c_15506,c_13294]) ).
tcf(c_15520,plain,
! [X0: $i] : multiply(inverse(iPr_def_24),multiply(sk_c1,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_15509,c_85]) ).
tcf(c_15809,plain,
multiply(iPr_def_14,iPr_def_16) = sk_c6,
inference(demodulation,[status(thm)],[c_14998,c_14678]) ).
tcf(c_16033,plain,
multiply(inverse(iPr_def_24),iPr_def_24) = multiply(iPr_def_16,sk_c7),
inference(superposition,[status(thm)],[c_428,c_15520]) ).
tcf(c_16492,plain,
( ~ iPr_def_13
| ( multiply(sk_c3,sk_c7) != sk_c6 )
| ( inverse(inverse(iPr_def_21)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_13484,c_430]) ).
tcf(c_16493,plain,
multiply(sk_c3,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_13484,c_84]) ).
tcf(c_16499,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_21,X0)) = X0,
inference(superposition,[status(thm)],[c_13484,c_13294]) ).
tcf(c_16500,plain,
multiply(sk_c3,identity) = inverse(iPr_def_21),
inference(superposition,[status(thm)],[c_13484,c_14678]) ).
tcf(c_16610,plain,
inverse(iPr_def_21) = sk_c3,
inference(demodulation,[status(thm)],[c_16500,c_14678]) ).
tcf(c_16633,plain,
multiply(sk_c3,sk_c6) = iPr_def_20,
inference(superposition,[status(thm)],[c_4589,c_16499]) ).
tcf(c_18262,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_21 ) ),
inference(global_subsumption_just,[status(thm)],[c_2618,c_2618,c_2614,c_7713,c_7776]) ).
tcf(c_18618,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_13485,c_84]) ).
tcf(c_18621,plain,
( ~ iPr_def_12
| ( multiply(sk_c4,sk_c5) != sk_c6 )
| ( inverse(inverse(iPr_def_19)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_13485,c_431]) ).
tcf(c_18624,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_13485,c_13294]) ).
tcf(c_18625,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_13485,c_14678]) ).
tcf(c_18831,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_18 ) ),
inference(global_subsumption_just,[status(thm)],[c_2723,c_2727,c_2723,c_7693,c_7713]) ).
tcf(c_19027,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_18625,c_14678]) ).
tcf(c_19041,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_1074,c_18624]) ).
tcf(c_19042,plain,
multiply(sk_c4,sk_c5) = iPr_def_17,
inference(superposition,[status(thm)],[c_4484,c_18624]) ).
tcf(c_19125,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_13486,c_84]) ).
tcf(c_19131,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_13486,c_13294]) ).
tcf(c_19132,plain,
multiply(sk_c1,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_13486,c_14678]) ).
tcf(c_19162,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_1027,c_19125]) ).
tcf(c_19163,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_21 ) ),
inference(demodulation,[status(thm)],[c_1026,c_19125]) ).
tcf(c_19365,plain,
multiply(inverse(iPr_def_24),identity) = multiply(iPr_def_16,iPr_def_23),
inference(superposition,[status(thm)],[c_19125,c_15520]) ).
tcf(c_20125,plain,
inverse(iPr_def_23) = sk_c1,
inference(demodulation,[status(thm)],[c_19132,c_14678]) ).
tcf(c_20151,plain,
multiply(sk_c1,sk_c7) = iPr_def_24,
inference(superposition,[status(thm)],[c_4407,c_19131]) ).
tcf(c_20280,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19163,c_19162]) ).
tcf(c_21398,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_20280,c_4202]) ).
tcf(c_21400,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_24,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_20280,c_83]) ).
tcf(c_21569,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( iPr_def_16 = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_4027,c_4024]) ).
tcf(c_22953,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_16) = sk_c1 ) ),
inference(superposition,[status(thm)],[c_21398,c_15506]) ).
tcf(c_22977,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_21398,c_3433]) ).
tcf(c_22997,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = sk_c1 ) ),
inference(light_normalisation,[status(thm)],[c_22953,c_15809]) ).
tcf(c_23160,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( multiply(iPr_def_22,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_21569,c_4423]) ).
tcf(c_24225,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c5 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_21400,c_3438]) ).
tcf(c_24228,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c7 = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_21400,c_3439]) ).
tcf(c_27669,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(sk_c6) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_22997,c_427]) ).
tcf(c_28297,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(iPr_def_16) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_2036,c_27669]) ).
tcf(c_28322,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c7 = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_28297,c_15191]) ).
tcf(c_28951,plain,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 != iPr_def_15 )
| ( sk_c6 != iPr_def_16 )
| ( sk_c7 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24225,c_429]) ).
tcf(c_29111,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_10
| ( iPr_def_14 != iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_24228,c_18831]) ).
tcf(c_29113,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_16) = identity ) ),
inference(superposition,[status(thm)],[c_24228,c_14911]) ).
tcf(c_29152,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_24228,c_1649]) ).
tcf(c_29192,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = identity ) ),
inference(light_normalisation,[status(thm)],[c_29113,c_15809]) ).
tcf(c_31280,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( iPr_def_14 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_28322,c_24228]) ).
tcf(c_31290,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_13
| ( sk_c6 != iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_28322,c_2365]) ).
tcf(c_31557,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( inverse(identity) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_29192,c_27669]) ).
tcf(c_31645,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( identity = iPr_def_23 ) ),
inference(light_normalisation,[status(thm)],[c_31557,c_14719]) ).
tcf(c_33300,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_14,iPr_def_16) = sk_c7 ) ),
inference(superposition,[status(thm)],[c_31280,c_4810]) ).
tcf(c_33330,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c7 = sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_33300,c_15809]) ).
tcf(c_33572,plain,
! [X0: $i] :
( ( iPr_def_20 = iPr_def_21 )
| ( multiply(iPr_def_23,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_31645,c_83]) ).
tcf(c_34344,plain,
( ( iPr_def_20 = iPr_def_21 )
| ( sk_c6 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_33330,c_1649]) ).
tcf(c_36451,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c7 != sk_c6 )
| ( inverse(iPr_def_23) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_33572,c_432]) ).
tcf(c_36503,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_11
| ( sk_c6 != sk_c1 )
| ( sk_c7 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_36451,c_20125]) ).
tcf(c_47555,plain,
multiply(sk_c2,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_13487,c_84]) ).
tcf(c_47558,plain,
( ~ iPr_def_12
| ( multiply(sk_c2,sk_c5) != sk_c6 )
| ( inverse(inverse(iPr_def_18)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_13487,c_431]) ).
tcf(c_47561,plain,
! [X0: $i] : multiply(sk_c2,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_13487,c_13294]) ).
tcf(c_47562,plain,
multiply(sk_c2,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_13487,c_14678]) ).
tcf(c_47679,plain,
inverse(iPr_def_18) = sk_c2,
inference(demodulation,[status(thm)],[c_47562,c_14678]) ).
tcf(c_47720,plain,
multiply(sk_c2,sk_c6) = iPr_def_22,
inference(superposition,[status(thm)],[c_4402,c_47561]) ).
tcf(c_49041,plain,
multiply(iPr_def_16,iPr_def_23) = inverse(iPr_def_24),
inference(demodulation,[status(thm)],[c_19365,c_14678]) ).
tcf(c_49073,plain,
multiply(sk_c7,inverse(iPr_def_24)) = iPr_def_23,
inference(superposition,[status(thm)],[c_49041,c_14917]) ).
tcf(c_49254,plain,
multiply(iPr_def_24,inverse(iPr_def_24)) = multiply(sk_c1,iPr_def_23),
inference(superposition,[status(thm)],[c_49073,c_3301]) ).
tcf(c_49258,plain,
multiply(iPr_def_24,inverse(iPr_def_24)) = identity,
inference(light_normalisation,[status(thm)],[c_49254,c_19125]) ).
tcf(c_52572,plain,
( ~ iPr_def_13
| ( sk_c6 != identity ) ),
inference(ground_joinability,[status(thm)],[c_2340,c_15191]) ).
tcf(c_52593,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_13 ),
inference(superposition,[status(thm)],[c_29192,c_52572]) ).
tcf(c_52834,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_15 )
| ( inverse(identity) != identity ) ),
inference(superposition,[status(thm)],[c_29192,c_2527]) ).
tcf(c_52958,plain,
( ( iPr_def_20 = iPr_def_21 )
| ~ iPr_def_12
| ( sk_c6 != iPr_def_15 ) ),
inference(ground_joinability,[status(thm)],[c_52834,c_14719]) ).
tcf(c_53511,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c6 ) ),
inference(global_subsumption_just,[status(thm)],[c_2600,c_470,c_442,c_927,c_966,c_1153,c_1154,c_1346,c_1717,c_2614,c_7764,c_18262]) ).
tcf(c_53775,plain,
iPr_def_20 = iPr_def_21,
inference(global_subsumption_just,[status(thm)],[c_52593,c_1261,c_1649,c_2036,c_22997,c_22977,c_28951,c_29152,c_29111,c_31290,c_33330,c_34344,c_36503,c_52958]) ).
tcf(c_53856,plain,
( ~ iPr_def_10
| ( sk_c7 != iPr_def_20 ) ),
inference(demodulation,[status(thm)],[c_2727,c_53775]) ).
tcf(c_53881,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_16610,c_53775]) ).
tcf(c_53882,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(demodulation,[status(thm)],[c_16493,c_53775]) ).
tcf(c_53942,plain,
multiply(iPr_def_20,iPr_def_20) = sk_c6,
inference(demodulation,[status(thm)],[c_4589,c_53775]) ).
tcf(c_53956,plain,
inverse(sk_c3) = iPr_def_20,
inference(demodulation,[status(thm)],[c_425,c_53775]) ).
tcf(c_54410,plain,
! [X0: $i] : multiply(inverse(multiply(X0,sk_c6)),multiply(X0,iPr_def_15)) = sk_c5,
inference(superposition,[status(thm)],[c_419,c_13329]) ).
tcf(c_57696,plain,
multiply(inverse(iPr_def_20),multiply(sk_c3,iPr_def_15)) = sk_c5,
inference(superposition,[status(thm)],[c_16633,c_54410]) ).
tcf(c_57701,plain,
multiply(inverse(identity),multiply(inverse(sk_c6),iPr_def_15)) = sk_c5,
inference(superposition,[status(thm)],[c_84,c_54410]) ).
tcf(c_57779,plain,
multiply(sk_c3,multiply(iPr_def_20,sk_c5)) = sk_c5,
inference(light_normalisation,[status(thm)],[c_57696,c_11473,c_53881]) ).
tcf(c_57781,plain,
multiply(identity,sk_c5) = sk_c5,
inference(light_normalisation,[status(thm)],[c_57701,c_13324,c_14719]) ).
tcf(c_59213,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_57779,c_53956,c_53942,c_53882,c_53881,c_53856,c_53775,c_53511,c_49258,c_49254,c_47720,c_47679,c_47558,c_47555,c_23160,c_20151,c_19042,c_19041,c_19027,c_18831,c_18621,c_18618,c_57781,c_16633,c_16610,c_16492,c_16500,c_16033,c_15809,c_15191,c_14998,c_14724,c_14723,c_14722,c_14711,c_14710,c_14719,c_14526,c_14360,c_14357,c_13324,c_13321,c_11476,c_11473,c_11472,c_2365,c_1782,c_463,c_462,c_460,c_459,c_458,c_457,c_452,c_447,c_442,c_438,c_437,c_435,c_434,c_429,c_423,c_422,c_420]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP381-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Wed Sep 23 14:37:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.42
% 0.09/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.09/0.42
% 0.09/0.42 % Detected problem language: tptp
% 0.09/0.43 % Proving...
% 15.71/3.29 % SZS status Started for theBenchmark.p
% 15.71/3.29 % SZS status Unsatisfiable for theBenchmark.p
% 15.71/3.29
% 15.71/3.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.71/3.29
% 15.71/3.29 % ------ iProver source info
% 15.71/3.29
% 15.71/3.29 % git: date: 2026-07-19 20:42:38 +0200
% 15.71/3.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.71/3.29 % git: non_committed_changes: false
% 15.71/3.29
% 15.71/3.29 % ------ Parsing...% successful
% 15.71/3.29
% 15.71/3.29
% 15.71/3.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.71/3.29
% 15.71/3.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 15.71/3.29
% 15.71/3.29 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.71/3.29
% 15.71/3.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 15.71/3.29 % ------ Proving...
% 15.71/3.29 % ------ Problem Properties
% 15.71/3.29
% 15.71/3.29 %
% 15.71/3.29 % clauses 49
% 15.71/3.29 % conjectures 35
% 15.71/3.29 % EPR 31
% 15.71/3.29 % Horn 18
% 15.71/3.29 % unary 14
% 15.71/3.29 % binary 30
% 15.71/3.29 % lits 93
% 15.71/3.29 % lits eq 85
% 15.71/3.29 % fd_pure 0
% 15.71/3.29 % fd_pseudo 0
% 15.71/3.29 % fd_cond 0
% 15.71/3.29 % fd_pseudo_cond 0
% 15.71/3.29 % AC symbols 0
% 15.71/3.29
% 15.71/3.29 % ------ Schedule dynamic 5 is on
% 15.71/3.29
% 15.71/3.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.71/3.29
% 15.71/3.29
% 15.71/3.29 % ------
% 15.71/3.29 % Current options:
% 15.71/3.29 % ------
% 15.71/3.29
% 15.71/3.29
% 15.71/3.29 %
% 15.71/3.29
% 15.71/3.29 % ------ Proving...
% 15.71/3.29 %
% 15.71/3.29
% 15.71/3.29 % SZS status Unsatisfiable for theBenchmark.p
% 15.71/3.29
% 15.71/3.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 15.71/3.29
% 15.71/3.29
%------------------------------------------------------------------------------