%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP368-1 : 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 : n018.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 01:33:25 PM UTC 2026
% Result : Unsatisfiable 15.80s 3.29s
% Output : CNFRefutation 18.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 40
% Syntax : Number of formulae : 326 ( 110 unt; 11 def)
% Number of atoms : 1141 ( 596 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 432 ( 126 ~; 306 |; 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 : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 66 ( 0 sgn 66 !; 0 ?; 49 :)
% 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
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f6,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f5]) ).
fof(f7,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f8,plain,
( sk_c5 = inverse(sk_c6)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f10,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f9]) ).
fof(f11,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f12,plain,
( sk_c7 = inverse(sk_c4)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f11]) ).
fof(f13,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c5,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f14,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| multiply(sk_c5,sk_c7) = sk_c6 ),
inference(reorient_equations,[],[f13]) ).
fof(f15,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f16,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f15]) ).
fof(f17,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f18,plain,
( sk_c5 = inverse(sk_c6)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f17]) ).
fof(f21,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f22,plain,
( sk_c7 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c7,sk_c2) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f24,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c2) ),
inference(reorient_equations,[],[f23]) ).
fof(f27,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f28,plain,
( sk_c5 = inverse(sk_c6)
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f27]) ).
fof(f31,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f32,plain,
( sk_c7 = inverse(sk_c4)
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f31]) ).
fof(f33,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c1,sk_c7) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f34,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c2 = multiply(sk_c1,sk_c7) ),
inference(reorient_equations,[],[f33]) ).
fof(f35,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f36,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f35]) ).
fof(f37,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f38,plain,
( sk_c5 = inverse(sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f37]) ).
fof(f41,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f42,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f41]) ).
fof(f43,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
inference(reorient_equations,[],[f43]) ).
fof(f45,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f46,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f45]) ).
fof(f47,negated_conjecture,
( inverse(sk_c6) = sk_c5
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f48,plain,
( sk_c5 = inverse(sk_c6)
| sk_c7 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f47]) ).
fof(f51,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f52,plain,
( sk_c7 = inverse(sk_c4)
| sk_c7 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f51]) ).
fof(f53,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| multiply(sk_c3,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f54,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c3,sk_c5) ),
inference(reorient_equations,[],[f53]) ).
fof(f55,negated_conjecture,
( multiply(sk_c6,sk_c7) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f56,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c5 = inverse(sk_c3) ),
inference(reorient_equations,[],[f55]) ).
fof(f57,negated_conjecture,
( inverse(sk_c6) = sk_c5
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f58,plain,
( sk_c5 = inverse(sk_c6)
| sk_c5 = inverse(sk_c3) ),
inference(reorient_equations,[],[f57]) ).
fof(f59,negated_conjecture,
( multiply(sk_c7,sk_c5) = sk_c6
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f60,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c5 = inverse(sk_c3) ),
inference(reorient_equations,[],[f59]) ).
fof(f61,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f62,plain,
( sk_c7 = inverse(sk_c4)
| sk_c5 = inverse(sk_c3) ),
inference(reorient_equations,[],[f61]) ).
fof(f63,negated_conjecture,
( multiply(sk_c4,sk_c6) = sk_c7
| inverse(sk_c3) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c5 = inverse(sk_c3) ),
inference(reorient_equations,[],[f63]) ).
fof(f65,negated_conjecture,
! [X2,X3,X0,X1] :
( multiply(X3,sk_c6) != sk_c7
| inverse(X3) != sk_c7
| multiply(sk_c7,sk_c5) != sk_c6
| inverse(sk_c6) != sk_c5
| multiply(sk_c6,sk_c7) != sk_c5
| inverse(X2) != sk_c5
| multiply(X2,sk_c5) != sk_c7
| inverse(X1) != sk_c7
| multiply(X1,sk_c7) != X0
| multiply(sk_c7,X0) != sk_c6
| multiply(sk_c5,sk_c7) != sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f66,plain,
! [X2,X3,X0,X1] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != inverse(sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(X2)
| sk_c7 != multiply(X2,sk_c5)
| sk_c7 != inverse(X1)
| multiply(X1,sk_c7) != X0
| sk_c6 != multiply(sk_c7,X0)
| multiply(sk_c5,sk_c7) != sk_c6 ),
inference(reorient_equations,[],[f65]) ).
fof(f67,plain,
! [X2,X3,X1] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c5 != inverse(sk_c6)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c5 != inverse(X2)
| sk_c7 != multiply(X2,sk_c5)
| sk_c7 != inverse(X1)
| sk_c6 != multiply(sk_c7,multiply(X1,sk_c7))
| multiply(sk_c5,sk_c7) != sk_c6 ),
inference(equality_resolution,[],[f66]) ).
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_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f6]) ).
tcf(c_87,negated_conjecture,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f8]) ).
tcf(c_88,negated_conjecture,
( ( multiply(sk_c7,sk_c5) = sk_c6 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f10]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f12]) ).
tcf(c_90,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c5,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f14]) ).
tcf(c_91,negated_conjecture,
( ( multiply(sk_c6,sk_c7) = sk_c5 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f16]) ).
tcf(c_92,negated_conjecture,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f18]) ).
tcf(c_94,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f22]) ).
tcf(c_95,negated_conjecture,
( ( multiply(sk_c4,sk_c6) = sk_c7 )
| ( multiply(sk_c7,sk_c2) = sk_c6 ) ),
inference(cnf_transformation,[],[f24]) ).
tcf(c_97,negated_conjecture,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnf_transformation,[],[f28]) ).
tcf(c_99,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c7) = sk_c2 ) ),
inference(cnf_transformation,[],[f32]) ).
tcf(c_100,negated_conjecture,
( ( multiply(sk_c1,sk_c7) = sk_c2 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f34]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f36]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f38]) ).
tcf(c_104,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f42]) ).
tcf(c_105,negated_conjecture,
( ( inverse(sk_c1) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f44]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c3,sk_c5) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f46]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c6) = sk_c5 )
| ( multiply(sk_c3,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f48]) ).
tcf(c_109,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c3,sk_c5) = sk_c7 ) ),
inference(cnf_transformation,[],[f52]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c3,sk_c5) = sk_c7 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f54]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c6,sk_c7) = sk_c5 ) ),
inference(cnf_transformation,[],[f56]) ).
tcf(c_112,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c6) = sk_c5 ) ),
inference(cnf_transformation,[],[f58]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c7,sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f60]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f62]) ).
tcf(c_115,negated_conjecture,
( ( inverse(sk_c3) = sk_c5 )
| ( multiply(sk_c4,sk_c6) = sk_c7 ) ),
inference(cnf_transformation,[],[f64]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i] :
( ( inverse(sk_c6) != sk_c5 )
| ( inverse(X2) != sk_c7 )
| ( inverse(X1) != sk_c7 )
| ( inverse(X0) != sk_c5 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c7) != sk_c6 )
| ( multiply(X1,sk_c6) != sk_c7 )
| ( multiply(X0,sk_c5) != sk_c7 )
| ( multiply(sk_c7,multiply(X2,sk_c7)) != sk_c6 ) ),
inference(cnf_transformation,[],[f67]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c5 )
| ( multiply(X0,sk_c5) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_116]) ).
tcf(c_410,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_411,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_412,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c6) != sk_c5 )
| ( multiply(sk_c6,sk_c7) != sk_c5 )
| ( multiply(sk_c7,sk_c5) != sk_c6 )
| ( multiply(sk_c5,sk_c7) != sk_c6 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_413,definition,
iPr_def_13 = multiply(sk_c5,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_414,definition,
iPr_def_14 = multiply(sk_c7,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_415,definition,
iPr_def_15 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_416,definition,
iPr_def_16 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_417,definition,
iPr_def_17 = multiply(sk_c4,sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_418,definition,
iPr_def_18 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_419,definition,
iPr_def_19 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_420,definition,
iPr_def_20 = multiply(sk_c3,sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_421,definition,
iPr_def_21 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_422,definition,
iPr_def_22 = multiply(sk_c1,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_423,definition,
iPr_def_23 = multiply(sk_c7,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_424,negated_conjecture,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_16 != sk_c5 )
| ( iPr_def_15 != sk_c5 )
| ( iPr_def_14 != sk_c6 )
| ( iPr_def_13 != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_412,c_416,c_415,c_414,c_413]) ).
tcf(c_425,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c7,multiply(X0,sk_c7)) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_411]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c6) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_410]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c5 )
| ( multiply(X0,sk_c5) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_409]) ).
tcf(c_428,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_115,c_418,c_417]) ).
tcf(c_429,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_18 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_114,c_419]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_14 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_113]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_112]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_18 = sk_c5 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_111]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_110,c_420]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_109]) ).
tcf(c_436,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_437,negated_conjecture,
( ( iPr_def_20 = sk_c7 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_105,c_421]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_104]) ).
tcf(c_441,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_100,c_422]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_99]) ).
tcf(c_446,negated_conjecture,
( ( iPr_def_22 = sk_c2 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_97]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_17 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95,c_423]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_19 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_16 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_23 = sk_c6 )
| ( iPr_def_15 = sk_c5 ) ),
inference(demodulation,[status(thm)],[c_91]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_17 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_90]) ).
tcf(c_454,negated_conjecture,
( ( iPr_def_19 = sk_c7 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_455,negated_conjecture,
( ( iPr_def_14 = sk_c6 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_16 = sk_c5 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_87]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_15 = sk_c5 )
| ( iPr_def_13 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_86]) ).
tcf(c_696,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_432,c_413]) ).
tcf(c_697,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_431,c_413]) ).
tcf(c_699,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_429,c_413]) ).
tcf(c_700,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_18,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_428,c_413]) ).
tcf(c_721,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_20,sk_c5) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_433,c_414]) ).
tcf(c_798,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c7 = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_437,c_436]) ).
tcf(c_949,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c7 = iPr_def_21 ) ),
inference(superposition,[status(thm)],[c_442,c_441]) ).
tcf(c_999,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_437,c_420]) ).
tcf(c_1001,plain,
( ( sk_c5 = iPr_def_15 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_432,c_420]) ).
tcf(c_1002,plain,
( ( sk_c5 = iPr_def_16 )
| ( multiply(sk_c3,iPr_def_18) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_431,c_420]) ).
tcf(c_1062,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_21,sk_c2) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_439,c_423]) ).
tcf(c_1063,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_21,sk_c2) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_438,c_423]) ).
tcf(c_1077,plain,
multiply(iPr_def_16,sk_c6) = identity,
inference(superposition,[status(thm)],[c_416,c_84]) ).
tcf(c_1078,plain,
multiply(iPr_def_19,sk_c4) = identity,
inference(superposition,[status(thm)],[c_419,c_84]) ).
tcf(c_1079,plain,
multiply(iPr_def_21,sk_c1) = identity,
inference(superposition,[status(thm)],[c_421,c_84]) ).
tcf(c_1080,plain,
multiply(iPr_def_18,sk_c3) = identity,
inference(superposition,[status(thm)],[c_418,c_84]) ).
tcf(c_1322,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c6 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_452,c_451]) ).
tcf(c_1387,plain,
( ( iPr_def_13 = iPr_def_23 )
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_453,c_448]) ).
tcf(c_1391,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_453,c_415]) ).
tcf(c_1453,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c7) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_454,c_415]) ).
tcf(c_1492,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c4,iPr_def_14) = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_455,c_417]) ).
tcf(c_1664,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c6 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_457,c_456]) ).
tcf(c_1666,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(sk_c3,iPr_def_15) = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_457,c_420]) ).
tcf(c_1728,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,sk_c2) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_798,c_423]) ).
tcf(c_1732,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c6,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_798,c_415]) ).
tcf(c_1928,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_21) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_949,c_422]) ).
tcf(c_1970,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_17 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_417,c_426]) ).
tcf(c_1971,plain,
( ~ iPr_def_11
| ( sk_c7 != sk_c6 )
| ( inverse(identity) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_83,c_426]) ).
tcf(c_1988,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_19 )
| ( sk_c7 != iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_1970,c_419]) ).
tcf(c_2069,plain,
( ~ iPr_def_10
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c5)) != sk_c5 ) ),
inference(superposition,[status(thm)],[c_84,c_427]) ).
tcf(c_2236,plain,
( ~ iPr_def_12
| ( inverse(identity) != sk_c7 )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_83,c_425]) ).
tcf(c_2237,plain,
( ~ iPr_def_12
| ( inverse(inverse(sk_c7)) != sk_c7 )
| ( multiply(sk_c7,identity) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_84,c_425]) ).
tcf(c_2389,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c7 = iPr_def_17 )
| ( iPr_def_13 != iPr_def_23 )
| ( sk_c6 != iPr_def_14 )
| ( sk_c5 != iPr_def_16 )
| ( sk_c5 != iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_448,c_424]) ).
tcf(c_2660,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_13) = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_1664,c_416]) ).
tcf(c_2724,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_15 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_798,c_696]) ).
tcf(c_2794,plain,
! [X0: $i] : multiply(sk_c5,multiply(sk_c7,X0)) = multiply(iPr_def_13,X0),
inference(superposition,[status(thm)],[c_413,c_85]) ).
tcf(c_2795,plain,
! [X0: $i] : multiply(sk_c6,multiply(sk_c7,X0)) = multiply(iPr_def_15,X0),
inference(superposition,[status(thm)],[c_415,c_85]) ).
tcf(c_2796,plain,
! [X0: $i] : multiply(sk_c7,multiply(sk_c5,X0)) = multiply(iPr_def_14,X0),
inference(superposition,[status(thm)],[c_414,c_85]) ).
tcf(c_2797,plain,
! [X0: $i] : multiply(sk_c4,multiply(sk_c6,X0)) = multiply(iPr_def_17,X0),
inference(superposition,[status(thm)],[c_417,c_85]) ).
tcf(c_2800,plain,
! [X0: $i] : multiply(sk_c3,multiply(sk_c5,X0)) = multiply(iPr_def_20,X0),
inference(superposition,[status(thm)],[c_420,c_85]) ).
tcf(c_2802,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2805,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1077,c_85]) ).
tcf(c_2806,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1078,c_85]) ).
tcf(c_2807,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1079,c_85]) ).
tcf(c_2808,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_1080,c_85]) ).
tcf(c_2813,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2808,c_83]) ).
tcf(c_2814,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2807,c_83]) ).
tcf(c_2815,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2806,c_83]) ).
tcf(c_2816,plain,
! [X0: $i] : multiply(iPr_def_16,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2805,c_83]) ).
tcf(c_2946,plain,
multiply(iPr_def_18,iPr_def_20) = sk_c5,
inference(superposition,[status(thm)],[c_420,c_2813]) ).
tcf(c_2962,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_20,X0)) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2946,c_85]) ).
tcf(c_2964,plain,
multiply(iPr_def_21,iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_422,c_2814]) ).
tcf(c_2967,plain,
! [X0: $i] : multiply(iPr_def_21,multiply(iPr_def_22,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_2964,c_85]) ).
tcf(c_3128,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_798,c_697]) ).
tcf(c_3151,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_16 )
| ( sk_c5 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_3128,c_2946]) ).
tcf(c_3198,plain,
multiply(iPr_def_19,iPr_def_17) = sk_c6,
inference(superposition,[status(thm)],[c_417,c_2815]) ).
tcf(c_3201,plain,
! [X0: $i] : multiply(iPr_def_19,multiply(iPr_def_17,X0)) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_3198,c_85]) ).
tcf(c_3208,plain,
multiply(iPr_def_16,iPr_def_15) = sk_c7,
inference(superposition,[status(thm)],[c_415,c_2816]) ).
tcf(c_3216,plain,
! [X0: $i] :
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_16,multiply(iPr_def_23,X0)) = X0 ) ),
inference(superposition,[status(thm)],[c_448,c_2816]) ).
tcf(c_3423,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_434,c_699]) ).
tcf(c_3427,plain,
( ( sk_c7 = iPr_def_19 )
| ( sk_c5 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_3423,c_2946]) ).
tcf(c_3478,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_433,c_700]) ).
tcf(c_3481,plain,
( ( sk_c7 = iPr_def_17 )
| ( sk_c5 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_3478,c_2946]) ).
tcf(c_3764,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_20,iPr_def_18) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_428,c_721]) ).
tcf(c_4048,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_13,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3427,c_413]) ).
tcf(c_4169,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_13,sk_c7) = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3481,c_413]) ).
tcf(c_5845,plain,
( ( sk_c7 = iPr_def_20 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_999,c_2813]) ).
tcf(c_5846,plain,
( ( sk_c7 = iPr_def_20 )
| ( sk_c5 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_5845,c_2946]) ).
tcf(c_6194,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_444,c_1062]) ).
tcf(c_6197,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_6194,c_2964]) ).
tcf(c_6267,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_6197,c_434]) ).
tcf(c_6992,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_21,iPr_def_22) = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_443,c_1063]) ).
tcf(c_6994,plain,
( ( sk_c7 = iPr_def_23 )
| ( sk_c7 = iPr_def_17 ) ),
inference(light_normalisation,[status(thm)],[c_6992,c_2964]) ).
tcf(c_7338,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_23,sk_c5) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_6994,c_414]) ).
tcf(c_7341,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_6994,c_433]) ).
tcf(c_7732,plain,
( ( iPr_def_20 = iPr_def_23 )
| ( iPr_def_17 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_7341,c_6267]) ).
tcf(c_9525,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(iPr_def_19,iPr_def_17) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_1492,c_2815]) ).
tcf(c_9526,plain,
( ( sk_c6 = iPr_def_14 )
| ( sk_c6 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_9525,c_3198]) ).
tcf(c_9965,plain,
( ( sk_c6 = iPr_def_13 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_1666,c_2813]) ).
tcf(c_9966,plain,
( ( sk_c6 = iPr_def_13 )
| ( sk_c5 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_9965,c_2946]) ).
tcf(c_11963,plain,
multiply(sk_c5,iPr_def_14) = multiply(iPr_def_13,sk_c5),
inference(superposition,[status(thm)],[c_414,c_2794]) ).
tcf(c_12552,plain,
multiply(sk_c6,iPr_def_14) = multiply(iPr_def_15,sk_c5),
inference(superposition,[status(thm)],[c_414,c_2795]) ).
tcf(c_12914,plain,
multiply(sk_c7,iPr_def_13) = multiply(iPr_def_14,sk_c7),
inference(superposition,[status(thm)],[c_413,c_2796]) ).
tcf(c_13237,plain,
multiply(sk_c4,iPr_def_15) = multiply(iPr_def_17,sk_c7),
inference(superposition,[status(thm)],[c_415,c_2797]) ).
tcf(c_13651,plain,
multiply(sk_c3,multiply(iPr_def_13,sk_c5)) = multiply(iPr_def_20,iPr_def_14),
inference(superposition,[status(thm)],[c_11963,c_2800]) ).
tcf(c_14147,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c7 = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_4048,c_1453]) ).
tcf(c_14396,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_19,sk_c5) = iPr_def_14 ) ),
inference(superposition,[status(thm)],[c_14147,c_414]) ).
tcf(c_14914,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( sk_c7 = iPr_def_17 ) ),
inference(superposition,[status(thm)],[c_4169,c_1391]) ).
tcf(c_15010,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( iPr_def_13 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_14914,c_14147]) ).
tcf(c_15315,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(iPr_def_17,iPr_def_17) = sk_c6 ) ),
inference(superposition,[status(thm)],[c_15010,c_3198]) ).
tcf(c_17195,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(iPr_def_16,iPr_def_14) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_7338,c_3216]) ).
tcf(c_17316,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_15 )
| ( sk_c5 = iPr_def_13 ) ),
inference(light_normalisation,[status(thm)],[c_2724,c_2946]) ).
tcf(c_19501,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2802,c_83]) ).
tcf(c_19518,plain,
multiply(inverse(sk_c7),iPr_def_14) = sk_c5,
inference(superposition,[status(thm)],[c_414,c_19501]) ).
tcf(c_19523,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_19501]) ).
tcf(c_19524,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_19501]) ).
tcf(c_19611,plain,
multiply(inverse(iPr_def_16),identity) = sk_c6,
inference(superposition,[status(thm)],[c_1077,c_19501]) ).
tcf(c_19724,plain,
! [X0: $i] : multiply(inverse(iPr_def_16),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2816,c_19501]) ).
tcf(c_19725,plain,
! [X0: $i] : multiply(inverse(iPr_def_19),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2815,c_19501]) ).
tcf(c_19726,plain,
! [X0: $i] : multiply(inverse(iPr_def_21),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2814,c_19501]) ).
tcf(c_19727,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2813,c_19501]) ).
tcf(c_19751,plain,
( ( sk_c7 = iPr_def_17 )
| ( multiply(inverse(iPr_def_20),iPr_def_14) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_3764,c_19501]) ).
tcf(c_19819,plain,
multiply(inverse(sk_c5),multiply(iPr_def_13,sk_c5)) = iPr_def_14,
inference(superposition,[status(thm)],[c_11963,c_19501]) ).
tcf(c_19829,plain,
multiply(inverse(sk_c6),multiply(iPr_def_15,sk_c5)) = iPr_def_14,
inference(superposition,[status(thm)],[c_12552,c_19501]) ).
tcf(c_19840,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_19501,c_19501]) ).
tcf(c_21259,plain,
multiply(sk_c6,identity) = sk_c6,
inference(demodulation,[status(thm)],[c_19611,c_19724]) ).
tcf(c_21280,plain,
multiply(sk_c4,sk_c6) = multiply(iPr_def_17,identity),
inference(superposition,[status(thm)],[c_21259,c_2797]) ).
tcf(c_21283,plain,
multiply(iPr_def_17,identity) = iPr_def_17,
inference(light_normalisation,[status(thm)],[c_21280,c_417]) ).
tcf(c_21330,plain,
multiply(sk_c6,identity) = multiply(iPr_def_19,iPr_def_17),
inference(superposition,[status(thm)],[c_21283,c_3201]) ).
tcf(c_21686,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_19524,c_19840]) ).
tcf(c_21703,plain,
multiply(sk_c5,sk_c7) = multiply(iPr_def_13,identity),
inference(superposition,[status(thm)],[c_21686,c_2794]) ).
tcf(c_21715,plain,
multiply(sk_c7,sk_c5) = multiply(iPr_def_14,identity),
inference(superposition,[status(thm)],[c_21686,c_2796]) ).
tcf(c_21723,plain,
multiply(sk_c7,identity) = multiply(iPr_def_21,iPr_def_22),
inference(superposition,[status(thm)],[c_21686,c_2967]) ).
tcf(c_21724,plain,
multiply(sk_c5,identity) = multiply(iPr_def_18,iPr_def_20),
inference(superposition,[status(thm)],[c_21686,c_2962]) ).
tcf(c_21728,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_21686,c_19523]) ).
tcf(c_21729,plain,
multiply(sk_c5,identity) = sk_c5,
inference(light_normalisation,[status(thm)],[c_21724,c_2946]) ).
tcf(c_21730,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_21723,c_2964]) ).
tcf(c_21732,plain,
multiply(iPr_def_14,identity) = iPr_def_14,
inference(light_normalisation,[status(thm)],[c_21715,c_414]) ).
tcf(c_21735,plain,
multiply(iPr_def_13,identity) = iPr_def_13,
inference(light_normalisation,[status(thm)],[c_21703,c_413]) ).
tcf(c_21772,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_11
| ( iPr_def_17 != iPr_def_20 )
| ( sk_c7 != iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_433,c_1988]) ).
tcf(c_21836,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_21728,c_84]) ).
tcf(c_26485,plain,
multiply(sk_c6,iPr_def_16) = identity,
inference(superposition,[status(thm)],[c_19724,c_84]) ).
tcf(c_26490,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_16,X0)) = X0,
inference(superposition,[status(thm)],[c_19724,c_19501]) ).
tcf(c_26491,plain,
multiply(sk_c6,identity) = inverse(iPr_def_16),
inference(superposition,[status(thm)],[c_19724,c_21686]) ).
tcf(c_26619,plain,
multiply(sk_c4,identity) = multiply(iPr_def_17,iPr_def_16),
inference(superposition,[status(thm)],[c_26485,c_2797]) ).
tcf(c_26682,plain,
inverse(iPr_def_16) = sk_c6,
inference(demodulation,[status(thm)],[c_26491,c_21686]) ).
tcf(c_27189,plain,
multiply(sk_c6,sk_c7) = iPr_def_15,
inference(superposition,[status(thm)],[c_3208,c_26490]) ).
tcf(c_27415,plain,
multiply(iPr_def_17,iPr_def_16) = sk_c4,
inference(demodulation,[status(thm)],[c_26619,c_21686]) ).
tcf(c_27416,plain,
multiply(inverse(iPr_def_17),sk_c4) = iPr_def_16,
inference(superposition,[status(thm)],[c_27415,c_19501]) ).
tcf(c_27421,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),multiply(sk_c4,X0)) = multiply(iPr_def_16,X0),
inference(superposition,[status(thm)],[c_27416,c_85]) ).
tcf(c_27751,plain,
( ~ iPr_def_12
| ( inverse(inverse(iPr_def_19)) != sk_c7 )
| ( multiply(sk_c7,multiply(sk_c4,sk_c7)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_19725,c_425]) ).
tcf(c_27752,plain,
multiply(sk_c4,iPr_def_19) = identity,
inference(superposition,[status(thm)],[c_19725,c_84]) ).
tcf(c_27756,plain,
( ~ iPr_def_11
| ( inverse(inverse(iPr_def_19)) != sk_c7 )
| ( multiply(sk_c4,sk_c6) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_19725,c_426]) ).
tcf(c_27757,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_19,X0)) = X0,
inference(superposition,[status(thm)],[c_19725,c_19501]) ).
tcf(c_27758,plain,
multiply(sk_c4,identity) = inverse(iPr_def_19),
inference(superposition,[status(thm)],[c_19725,c_21686]) ).
tcf(c_27886,plain,
multiply(inverse(iPr_def_17),identity) = multiply(iPr_def_16,iPr_def_19),
inference(superposition,[status(thm)],[c_27752,c_27421]) ).
tcf(c_27894,plain,
inverse(iPr_def_19) = sk_c4,
inference(demodulation,[status(thm)],[c_27758,c_21686]) ).
tcf(c_27944,plain,
( ~ iPr_def_11
| ( sk_c7 != identity )
| ( sk_c7 != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_1971,c_21728]) ).
tcf(c_27969,plain,
( ( sk_c7 = iPr_def_19 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_23 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_449,c_27944]) ).
tcf(c_27970,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_11
| ( sk_c7 != iPr_def_23 )
| ( sk_c7 != identity ) ),
inference(superposition,[status(thm)],[c_448,c_27944]) ).
tcf(c_28223,plain,
( ( iPr_def_13 = iPr_def_15 )
| ( multiply(sk_c4,iPr_def_14) = sk_c5 ) ),
inference(superposition,[status(thm)],[c_14396,c_27757]) ).
tcf(c_28229,plain,
multiply(sk_c4,sk_c6) = iPr_def_17,
inference(superposition,[status(thm)],[c_3198,c_27757]) ).
tcf(c_28301,plain,
multiply(sk_c1,iPr_def_21) = identity,
inference(superposition,[status(thm)],[c_19726,c_84]) ).
tcf(c_28320,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_22 ) ),
inference(demodulation,[status(thm)],[c_1928,c_28301]) ).
tcf(c_28601,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_22) = iPr_def_22 ) ),
inference(superposition,[status(thm)],[c_28320,c_21728]) ).
tcf(c_30280,plain,
multiply(sk_c3,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_19727,c_84]) ).
tcf(c_30285,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_19727,c_19501]) ).
tcf(c_30286,plain,
multiply(sk_c3,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_19727,c_21686]) ).
tcf(c_30300,plain,
( ( identity = iPr_def_20 )
| ( sk_c5 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_1002,c_30280]) ).
tcf(c_30301,plain,
( ( identity = iPr_def_20 )
| ( sk_c5 = iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_1001,c_30280]) ).
tcf(c_30330,plain,
inverse(iPr_def_18) = sk_c3,
inference(demodulation,[status(thm)],[c_30286,c_21686]) ).
tcf(c_30346,plain,
multiply(sk_c3,sk_c5) = iPr_def_20,
inference(superposition,[status(thm)],[c_2946,c_30285]) ).
tcf(c_32426,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( identity = iPr_def_20 ) ),
inference(superposition,[status(thm)],[c_30301,c_30300]) ).
tcf(c_32695,plain,
! [X0: $i] :
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_20,X0) = X0 ) ),
inference(superposition,[status(thm)],[c_32426,c_83]) ).
tcf(c_33628,plain,
multiply(iPr_def_16,iPr_def_19) = inverse(iPr_def_17),
inference(demodulation,[status(thm)],[c_27886,c_21686]) ).
tcf(c_33634,plain,
multiply(sk_c6,inverse(iPr_def_17)) = iPr_def_19,
inference(superposition,[status(thm)],[c_33628,c_26490]) ).
tcf(c_33686,plain,
( ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_23,inverse(iPr_def_17)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_449,c_33634]) ).
tcf(c_33692,plain,
multiply(iPr_def_17,inverse(iPr_def_17)) = multiply(sk_c4,iPr_def_19),
inference(superposition,[status(thm)],[c_33634,c_2797]) ).
tcf(c_33695,plain,
multiply(iPr_def_17,inverse(iPr_def_17)) = identity,
inference(light_normalisation,[status(thm)],[c_33692,c_27752]) ).
tcf(c_33846,plain,
multiply(sk_c6,inverse(iPr_def_17)) = multiply(iPr_def_19,identity),
inference(superposition,[status(thm)],[c_33695,c_3201]) ).
tcf(c_33982,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( sk_c7 = iPr_def_19 )
| ( multiply(iPr_def_20,inverse(iPr_def_17)) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_7732,c_33686]) ).
tcf(c_34131,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_13 ) ),
inference(superposition,[status(thm)],[c_3151,c_17316]) ).
tcf(c_34383,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c5 = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_34131,c_432]) ).
tcf(c_34384,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( iPr_def_13 = iPr_def_18 )
| ( sk_c5 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_34131,c_431]) ).
tcf(c_35526,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( iPr_def_13 = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_34384,c_34383]) ).
tcf(c_35858,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_13) = sk_c3 ) ),
inference(superposition,[status(thm)],[c_35526,c_30330]) ).
tcf(c_37092,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c3 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_35858,c_2660]) ).
tcf(c_37124,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_16) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_37092,c_418]) ).
tcf(c_37125,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c6 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_37124,c_26682]) ).
tcf(c_37227,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( multiply(iPr_def_18,iPr_def_20) = iPr_def_15 ) ),
inference(superposition,[status(thm)],[c_37125,c_1732]) ).
tcf(c_37239,plain,
( ( iPr_def_18 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_37125,c_1322]) ).
tcf(c_37261,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_15 ) ),
inference(light_normalisation,[status(thm)],[c_37227,c_2946]) ).
tcf(c_38243,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c2 = iPr_def_23 ) ),
inference(superposition,[status(thm)],[c_32695,c_1728]) ).
tcf(c_38730,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_37261,c_431]) ).
tcf(c_39826,plain,
( ( iPr_def_15 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_38730,c_37261]) ).
tcf(c_41595,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 )
| ( sk_c5 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_38243,c_446]) ).
tcf(c_42358,plain,
( ( iPr_def_22 = iPr_def_23 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_41595,c_37261]) ).
tcf(c_45137,plain,
( ( iPr_def_18 = iPr_def_22 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_42358,c_37239]) ).
tcf(c_45562,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( inverse(iPr_def_18) = iPr_def_18 ) ),
inference(superposition,[status(thm)],[c_45137,c_28601]) ).
tcf(c_45595,plain,
( ( iPr_def_15 = iPr_def_16 )
| ( sk_c3 = iPr_def_18 ) ),
inference(light_normalisation,[status(thm)],[c_45562,c_30330]) ).
tcf(c_46863,plain,
( ( iPr_def_16 = iPr_def_18 )
| ( iPr_def_15 = iPr_def_16 ) ),
inference(superposition,[status(thm)],[c_45595,c_37092]) ).
tcf(c_48439,plain,
iPr_def_15 = iPr_def_16,
inference(superposition,[status(thm)],[c_46863,c_39826]) ).
tcf(c_48495,plain,
multiply(iPr_def_15,iPr_def_19) = inverse(iPr_def_17),
inference(demodulation,[status(thm)],[c_33628,c_48439]) ).
tcf(c_48508,plain,
multiply(iPr_def_17,iPr_def_15) = sk_c4,
inference(demodulation,[status(thm)],[c_27415,c_48439]) ).
tcf(c_48518,plain,
inverse(iPr_def_15) = sk_c6,
inference(demodulation,[status(thm)],[c_26682,c_48439]) ).
tcf(c_48519,plain,
multiply(sk_c6,iPr_def_15) = identity,
inference(demodulation,[status(thm)],[c_26485,c_48439]) ).
tcf(c_48571,plain,
multiply(iPr_def_15,iPr_def_15) = sk_c7,
inference(demodulation,[status(thm)],[c_3208,c_48439]) ).
tcf(c_48582,plain,
( iPr_def_12
| iPr_def_11
| iPr_def_10
| ( sk_c6 != iPr_def_14 )
| ( sk_c6 != iPr_def_13 )
| ( sk_c5 != iPr_def_15 ) ),
inference(demodulation,[status(thm)],[c_424,c_48439]) ).
tcf(c_48586,plain,
multiply(iPr_def_15,sk_c6) = identity,
inference(demodulation,[status(thm)],[c_1077,c_48439]) ).
tcf(c_48589,plain,
inverse(sk_c6) = iPr_def_15,
inference(demodulation,[status(thm)],[c_416,c_48439]) ).
tcf(c_49629,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( multiply(sk_c7,sk_c7) != sk_c6 ) ),
inference(light_normalisation,[status(thm)],[c_2236,c_21728]) ).
tcf(c_49692,plain,
( ( sk_c7 = iPr_def_17 )
| ~ iPr_def_12
| ( sk_c7 != identity )
| ( multiply(iPr_def_20,iPr_def_20) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_433,c_49629]) ).
tcf(c_50221,plain,
( ~ iPr_def_12
| ( sk_c7 != sk_c6 )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_2237,c_21686]) ).
tcf(c_50414,plain,
( ( sk_c7 != iPr_def_19 )
| ( iPr_def_17 != iPr_def_20 )
| ~ iPr_def_11 ),
inference(global_subsumption_just,[status(thm)],[c_21772,c_1988,c_21772]) ).
tcf(c_50415,plain,
( ~ iPr_def_11
| ( iPr_def_17 != iPr_def_20 )
| ( sk_c7 != iPr_def_19 ) ),
inference(renaming,[status(thm)],[c_50414]) ).
tcf(c_50621,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_50415,c_50221,c_49692,c_48589,c_48586,c_48582,c_48571,c_48519,c_48518,c_48508,c_48495,c_48439,c_33982,c_33846,c_33695,c_33692,c_33634,c_30346,c_30330,c_30280,c_28229,c_28223,c_27970,c_27969,c_27894,c_27756,c_27751,c_27189,c_26682,c_26491,c_21735,c_21732,c_21730,c_21729,c_21715,c_21703,c_21728,c_21330,c_19829,c_19819,c_19751,c_19518,c_17195,c_15315,c_13651,c_13237,c_12914,c_12552,c_11963,c_9966,c_9526,c_6994,c_6197,c_5846,c_2389,c_2069,c_1387,c_21836,c_432,c_430,c_429,c_428,c_419,c_418]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP368-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Wed Sep 23 14:37:47 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.44 % Proving...
% 15.80/3.29 % SZS status Started for theBenchmark.p
% 15.80/3.29 % SZS status Unsatisfiable for theBenchmark.p
% 15.80/3.29
% 15.80/3.29 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 15.80/3.29
% 15.80/3.29 % ------ iProver source info
% 15.80/3.29
% 15.80/3.29 % git: date: 2026-07-19 20:42:38 +0200
% 15.80/3.29 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 15.80/3.29 % git: non_committed_changes: false
% 15.80/3.29
% 15.80/3.29 % ------ Parsing...% successful
% 15.80/3.29
% 15.80/3.29
% 15.80/3.29 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 15.80/3.29
% 15.80/3.29 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 15.80/3.29
% 15.80/3.29 % ------ Preprocessing... gs_s sp: 3 0s gs_e snvd_s sp: 0 0s snvd_e %
% 15.80/3.29
% 15.80/3.29 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 15.80/3.29 % ------ Proving...
% 15.80/3.29 % ------ Problem Properties
% 15.80/3.29
% 15.80/3.29 %
% 15.80/3.29 % clauses 48
% 15.80/3.29 % conjectures 34
% 15.80/3.29 % EPR 31
% 15.80/3.29 % Horn 17
% 15.80/3.29 % unary 14
% 15.80/3.29 % binary 30
% 15.80/3.29 % lits 90
% 15.80/3.29 % lits eq 84
% 15.80/3.29 % fd_pure 0
% 15.80/3.29 % fd_pseudo 0
% 15.80/3.29 % fd_cond 0
% 15.80/3.29 % fd_pseudo_cond 0
% 15.80/3.29 % AC symbols 0
% 15.80/3.29
% 15.80/3.29 % ------ Schedule dynamic 5 is on
% 15.80/3.29
% 15.80/3.29 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 15.80/3.29
% 15.80/3.29
% 15.80/3.29 % ------
% 15.80/3.29 % Current options:
% 15.80/3.29 % ------
% 15.80/3.29
% 15.80/3.29
% 15.80/3.29 %
% 15.80/3.29
% 15.80/3.29 % ------ Proving...
% 15.80/3.29 %
% 15.80/3.29
% 15.80/3.29 % SZS status Unsatisfiable for theBenchmark.p
% 15.80/3.29
% 15.80/3.29 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 18.36/3.30
% 18.36/3.30
%------------------------------------------------------------------------------