%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP391-1 : 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 : n014.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 01:33:38 PM UTC 2026
% Result : Unsatisfiable 5.93s 2.28s
% Output : CNFRefutation 5.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 35
% Syntax : Number of formulae : 222 ( 103 unt; 11 def)
% Number of atoms : 589 ( 374 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 291 ( 109 ~; 182 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 73 ( 0 sgn 73 !; 0 ?; 53 :)
% 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(f8,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f9,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| inverse(sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f8]) ).
fof(f10,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c6) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f11,plain,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c6) = sk_c8 ),
inference(reorient_equations,[],[f10]) ).
fof(f16,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f17,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f16]) ).
fof(f18,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f19,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f18]) ).
fof(f20,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f21,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f20]) ).
fof(f22,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f23,plain,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f22]) ).
fof(f24,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f25,plain,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f24]) ).
fof(f26,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c1,sk_c2) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f27,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c2) ),
inference(reorient_equations,[],[f26]) ).
fof(f32,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f33,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f32]) ).
fof(f34,negated_conjecture,
( inverse(sk_c4) = sk_c7
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f35,plain,
( sk_c7 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f34]) ).
fof(f36,negated_conjecture,
( inverse(sk_c5) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f37,plain,
( sk_c6 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f36]) ).
fof(f38,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| inverse(sk_c1) = sk_c2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f39,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c2 = inverse(sk_c1) ),
inference(reorient_equations,[],[f38]) ).
fof(f44,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f45,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f44]) ).
fof(f46,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c2,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f47,plain,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
inference(reorient_equations,[],[f46]) ).
fof(f52,negated_conjecture,
( multiply(sk_c3,sk_c8) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f53,plain,
( multiply(sk_c3,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f52]) ).
fof(f54,negated_conjecture,
( inverse(sk_c3) = sk_c8
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f55,plain,
( sk_c8 = inverse(sk_c3)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f54]) ).
fof(f56,negated_conjecture,
( multiply(sk_c4,sk_c7) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f56]) ).
fof(f58,negated_conjecture,
( inverse(sk_c4) = sk_c7
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f59,plain,
( sk_c7 = inverse(sk_c4)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f58]) ).
fof(f60,negated_conjecture,
( inverse(sk_c5) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f61,plain,
( sk_c6 = inverse(sk_c5)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f60]) ).
fof(f62,negated_conjecture,
( multiply(sk_c5,sk_c8) = sk_c6
| multiply(sk_c6,sk_c7) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f63,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c6,sk_c7) ),
inference(reorient_equations,[],[f62]) ).
fof(f64,negated_conjecture,
! [X2,X3,X0,X1,X4] :
( multiply(X4,sk_c8) != sk_c6
| inverse(X4) != sk_c6
| inverse(X3) != sk_c7
| multiply(X3,sk_c7) != sk_c6
| inverse(X2) != sk_c8
| multiply(X2,sk_c8) != sk_c7
| multiply(sk_c6,sk_c7) != sk_c8
| multiply(X1,sk_c7) != sk_c8
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8
| inverse(sk_c6) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f65,plain,
! [X2,X3,X0,X1,X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c8 != multiply(X1,sk_c7)
| inverse(X0) != X1
| multiply(X0,X1) != sk_c8
| inverse(sk_c6) != sk_c8 ),
inference(reorient_equations,[],[f64]) ).
fof(f66,plain,
! [X2,X3,X0,X4] :
( sk_c6 != multiply(X4,sk_c8)
| sk_c6 != inverse(X4)
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7)
| sk_c8 != inverse(X2)
| sk_c7 != multiply(X2,sk_c8)
| sk_c8 != multiply(sk_c6,sk_c7)
| sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0))
| inverse(sk_c6) != sk_c8 ),
inference(equality_resolution,[],[f65]) ).
tcf(c_83,plain,
! [X0: $i] : multiply(identity,X0) = X0,
inference(cnf_transformation,[],[f1]) ).
tcf(c_84,plain,
! [X0: $i] : multiply(inverse(X0),X0) = identity,
inference(cnf_transformation,[],[f3]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf_transformation,[],[f4]) ).
tcf(c_88,negated_conjecture,
( ( inverse(sk_c6) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f9]) ).
tcf(c_89,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( inverse(sk_c6) = sk_c8 ) ),
inference(cnf_transformation,[],[f11]) ).
tcf(c_92,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c3,sk_c8) = sk_c7 ) ),
inference(cnf_transformation,[],[f17]) ).
tcf(c_93,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f19]) ).
tcf(c_94,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f21]) ).
tcf(c_95,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f23]) ).
tcf(c_96,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c1,sk_c2) = sk_c8 ) ),
inference(cnf_transformation,[],[f25]) ).
tcf(c_97,negated_conjecture,
( ( multiply(sk_c1,sk_c2) = sk_c8 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f27]) ).
tcf(c_100,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f33]) ).
tcf(c_101,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c4) = sk_c7 ) ),
inference(cnf_transformation,[],[f35]) ).
tcf(c_102,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( inverse(sk_c5) = sk_c6 ) ),
inference(cnf_transformation,[],[f37]) ).
tcf(c_103,negated_conjecture,
( ( inverse(sk_c1) = sk_c2 )
| ( multiply(sk_c5,sk_c8) = sk_c6 ) ),
inference(cnf_transformation,[],[f39]) ).
tcf(c_106,negated_conjecture,
( ( multiply(sk_c2,sk_c7) = sk_c8 )
| ( multiply(sk_c4,sk_c7) = sk_c6 ) ),
inference(cnf_transformation,[],[f45]) ).
tcf(c_107,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c2,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f47]) ).
tcf(c_110,negated_conjecture,
( ( multiply(sk_c3,sk_c8) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f53]) ).
tcf(c_111,negated_conjecture,
( ( inverse(sk_c3) = sk_c8 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f55]) ).
tcf(c_112,negated_conjecture,
( ( multiply(sk_c4,sk_c7) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f57]) ).
tcf(c_113,negated_conjecture,
( ( inverse(sk_c4) = sk_c7 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f59]) ).
tcf(c_114,negated_conjecture,
( ( inverse(sk_c5) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f61]) ).
tcf(c_115,negated_conjecture,
( ( multiply(sk_c5,sk_c8) = sk_c6 )
| ( multiply(sk_c6,sk_c7) = sk_c8 ) ),
inference(cnf_transformation,[],[f63]) ).
tcf(c_116,negated_conjecture,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( inverse(sk_c6) != sk_c8 )
| ( inverse(X3) != sk_c8 )
| ( inverse(X1) != sk_c6 )
| ( inverse(X0) != sk_c7 )
| ( multiply(sk_c6,sk_c7) != sk_c8 )
| ( multiply(X3,sk_c8) != sk_c7 )
| ( multiply(X1,sk_c8) != sk_c6 )
| ( multiply(X0,sk_c7) != sk_c6 )
| ( multiply(inverse(X2),sk_c7) != sk_c8 )
| ( multiply(X2,inverse(X2)) != sk_c8 ) ),
inference(cnf_transformation,[],[f66]) ).
tcf(c_409,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
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_c7) != sk_c6 ) ),
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_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_12])],[c_116]) ).
tcf(c_412,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_13])],[c_116]) ).
tcf(c_413,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( inverse(sk_c6) != sk_c8 )
| ( multiply(sk_c6,sk_c7) != sk_c8 ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_116]) ).
tcf(c_414,definition,
iPr_def_14 = multiply(sk_c6,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_415,definition,
iPr_def_15 = inverse(sk_c6),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_416,definition,
iPr_def_16 = multiply(sk_c5,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_417,definition,
iPr_def_17 = inverse(sk_c5),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_418,definition,
iPr_def_18 = inverse(sk_c4),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_419,definition,
iPr_def_19 = multiply(sk_c4,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_420,definition,
iPr_def_20 = inverse(sk_c3),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_421,definition,
iPr_def_21 = multiply(sk_c3,sk_c8),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_422,definition,
iPr_def_22 = multiply(sk_c2,sk_c7),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_423,definition,
iPr_def_23 = inverse(sk_c1),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_424,definition,
iPr_def_24 = multiply(sk_c1,sk_c2),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_425,negated_conjecture,
( iPr_def_13
| iPr_def_12
| iPr_def_11
| iPr_def_10
| ( iPr_def_15 != sk_c8 )
| ( iPr_def_14 != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_413,c_415,c_414]) ).
tcf(c_426,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_13
| ( multiply(inverse(X0),sk_c7) != sk_c8 )
| ( multiply(X0,inverse(X0)) != sk_c8 ) ),
inference(demodulation,[status(thm)],[c_412]) ).
tcf(c_427,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_12
| ( inverse(X0) != sk_c8 )
| ( multiply(X0,sk_c8) != sk_c7 ) ),
inference(demodulation,[status(thm)],[c_411]) ).
tcf(c_428,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_11
| ( inverse(X0) != sk_c7 )
| ( multiply(X0,sk_c7) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_410]) ).
tcf(c_429,negated_conjecture,
! [X0: $i] :
( ~ iPr_def_10
| ( inverse(X0) != sk_c6 )
| ( multiply(X0,sk_c8) != sk_c6 ) ),
inference(demodulation,[status(thm)],[c_409]) ).
tcf(c_430,negated_conjecture,
( ( iPr_def_16 = sk_c6 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_115,c_416]) ).
tcf(c_431,negated_conjecture,
( ( iPr_def_17 = sk_c6 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_114,c_417]) ).
tcf(c_432,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_113,c_418]) ).
tcf(c_433,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_112,c_419]) ).
tcf(c_434,negated_conjecture,
( ( iPr_def_20 = sk_c8 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_111,c_420]) ).
tcf(c_435,negated_conjecture,
( ( iPr_def_21 = sk_c7 )
| ( iPr_def_14 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_110,c_421]) ).
tcf(c_438,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_107]) ).
tcf(c_439,negated_conjecture,
( ( iPr_def_22 = sk_c8 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_106]) ).
tcf(c_442,negated_conjecture,
( ( iPr_def_23 = sk_c2 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_103,c_423]) ).
tcf(c_443,negated_conjecture,
( ( iPr_def_23 = sk_c2 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_102]) ).
tcf(c_444,negated_conjecture,
( ( iPr_def_23 = sk_c2 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_101]) ).
tcf(c_445,negated_conjecture,
( ( iPr_def_23 = sk_c2 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_100]) ).
tcf(c_448,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_16 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_97,c_424]) ).
tcf(c_449,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_17 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_96]) ).
tcf(c_450,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_18 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_95]) ).
tcf(c_451,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_19 = sk_c6 ) ),
inference(demodulation,[status(thm)],[c_94]) ).
tcf(c_452,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_20 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_93]) ).
tcf(c_453,negated_conjecture,
( ( iPr_def_24 = sk_c8 )
| ( iPr_def_21 = sk_c7 ) ),
inference(demodulation,[status(thm)],[c_92]) ).
tcf(c_456,negated_conjecture,
( ( iPr_def_18 = sk_c7 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_89]) ).
tcf(c_457,negated_conjecture,
( ( iPr_def_19 = sk_c6 )
| ( iPr_def_15 = sk_c8 ) ),
inference(demodulation,[status(thm)],[c_88]) ).
tcf(c_897,plain,
( ( sk_c6 = iPr_def_19 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_445,c_424]) ).
tcf(c_898,plain,
( ( sk_c7 = iPr_def_18 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_444,c_424]) ).
tcf(c_899,plain,
( ( sk_c6 = iPr_def_17 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_443,c_424]) ).
tcf(c_900,plain,
( ( sk_c6 = iPr_def_16 )
| ( multiply(sk_c1,iPr_def_23) = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_442,c_424]) ).
tcf(c_913,plain,
multiply(iPr_def_15,sk_c6) = identity,
inference(superposition,[status(thm)],[c_415,c_84]) ).
tcf(c_914,plain,
multiply(iPr_def_20,sk_c3) = identity,
inference(superposition,[status(thm)],[c_420,c_84]) ).
tcf(c_915,plain,
multiply(iPr_def_18,sk_c4) = identity,
inference(superposition,[status(thm)],[c_418,c_84]) ).
tcf(c_916,plain,
multiply(iPr_def_17,sk_c5) = identity,
inference(superposition,[status(thm)],[c_417,c_84]) ).
tcf(c_917,plain,
multiply(iPr_def_23,sk_c1) = identity,
inference(superposition,[status(thm)],[c_423,c_84]) ).
tcf(c_1612,plain,
( ~ iPr_def_12
| ( sk_c8 != sk_c7 )
| ( inverse(identity) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_83,c_427]) ).
tcf(c_1613,plain,
( ~ iPr_def_12
| ( sk_c7 != identity )
| ( inverse(inverse(sk_c8)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_84,c_427]) ).
tcf(c_1727,plain,
( ~ iPr_def_11
| ( sk_c6 != iPr_def_19 )
| ( inverse(sk_c4) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_419,c_428]) ).
tcf(c_1731,plain,
( ~ iPr_def_11
| ( sk_c6 != identity )
| ( inverse(inverse(sk_c7)) != sk_c7 ) ),
inference(superposition,[status(thm)],[c_84,c_428]) ).
tcf(c_1750,plain,
( ~ iPr_def_11
| ( sk_c7 != iPr_def_18 )
| ( sk_c6 != iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_1727,c_418]) ).
tcf(c_2324,plain,
! [X0: $i] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(iPr_def_24,X0),
inference(superposition,[status(thm)],[c_424,c_85]) ).
tcf(c_2325,plain,
! [X0: $i] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(iPr_def_22,X0),
inference(superposition,[status(thm)],[c_422,c_85]) ).
tcf(c_2328,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[status(thm)],[c_84,c_85]) ).
tcf(c_2330,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c6,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_913,c_85]) ).
tcf(c_2331,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_914,c_85]) ).
tcf(c_2332,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_915,c_85]) ).
tcf(c_2333,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_916,c_85]) ).
tcf(c_2334,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = multiply(identity,X0),
inference(superposition,[status(thm)],[c_917,c_85]) ).
tcf(c_2340,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(sk_c1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2334,c_83]) ).
tcf(c_2341,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(sk_c5,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2333,c_83]) ).
tcf(c_2342,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(sk_c4,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2332,c_83]) ).
tcf(c_2343,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(sk_c3,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2331,c_83]) ).
tcf(c_2344,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(sk_c6,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_2330,c_83]) ).
tcf(c_3804,plain,
multiply(iPr_def_23,iPr_def_24) = sk_c2,
inference(superposition,[status(thm)],[c_424,c_2340]) ).
tcf(c_3807,plain,
! [X0: $i] : multiply(iPr_def_23,multiply(iPr_def_24,X0)) = multiply(sk_c2,X0),
inference(superposition,[status(thm)],[c_3804,c_85]) ).
tcf(c_3809,plain,
multiply(iPr_def_17,iPr_def_16) = sk_c8,
inference(superposition,[status(thm)],[c_416,c_2341]) ).
tcf(c_3812,plain,
! [X0: $i] : multiply(iPr_def_17,multiply(iPr_def_16,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3809,c_85]) ).
tcf(c_3822,plain,
multiply(iPr_def_18,iPr_def_19) = sk_c7,
inference(superposition,[status(thm)],[c_419,c_2342]) ).
tcf(c_3825,plain,
! [X0: $i] : multiply(iPr_def_18,multiply(iPr_def_19,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3822,c_85]) ).
tcf(c_3915,plain,
multiply(iPr_def_20,iPr_def_21) = sk_c8,
inference(superposition,[status(thm)],[c_421,c_2343]) ).
tcf(c_3940,plain,
! [X0: $i] : multiply(iPr_def_20,multiply(iPr_def_21,X0)) = multiply(sk_c8,X0),
inference(superposition,[status(thm)],[c_3915,c_85]) ).
tcf(c_3942,plain,
multiply(iPr_def_15,iPr_def_14) = sk_c7,
inference(superposition,[status(thm)],[c_414,c_2344]) ).
tcf(c_4025,plain,
! [X0: $i] : multiply(iPr_def_15,multiply(iPr_def_14,X0)) = multiply(sk_c7,X0),
inference(superposition,[status(thm)],[c_3942,c_85]) ).
tcf(c_7631,plain,
multiply(sk_c1,iPr_def_22) = multiply(iPr_def_24,sk_c7),
inference(superposition,[status(thm)],[c_422,c_2324]) ).
tcf(c_8242,plain,
! [X0: $i,X1: $i] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(demodulation,[status(thm)],[c_2328,c_83]) ).
tcf(c_8264,plain,
multiply(inverse(sk_c2),iPr_def_22) = sk_c7,
inference(superposition,[status(thm)],[c_422,c_8242]) ).
tcf(c_8266,plain,
! [X0: $i] : multiply(inverse(identity),X0) = X0,
inference(superposition,[status(thm)],[c_83,c_8242]) ).
tcf(c_8267,plain,
! [X0: $i] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[status(thm)],[c_84,c_8242]) ).
tcf(c_8373,plain,
! [X0: $i] : multiply(inverse(iPr_def_15),X0) = multiply(sk_c6,X0),
inference(superposition,[status(thm)],[c_2344,c_8242]) ).
tcf(c_8374,plain,
! [X0: $i] : multiply(inverse(iPr_def_20),X0) = multiply(sk_c3,X0),
inference(superposition,[status(thm)],[c_2343,c_8242]) ).
tcf(c_8375,plain,
! [X0: $i] : multiply(inverse(iPr_def_18),X0) = multiply(sk_c4,X0),
inference(superposition,[status(thm)],[c_2342,c_8242]) ).
tcf(c_8376,plain,
! [X0: $i] : multiply(inverse(iPr_def_17),X0) = multiply(sk_c5,X0),
inference(superposition,[status(thm)],[c_2341,c_8242]) ).
tcf(c_8377,plain,
! [X0: $i] : multiply(inverse(iPr_def_23),X0) = multiply(sk_c1,X0),
inference(superposition,[status(thm)],[c_2340,c_8242]) ).
tcf(c_8408,plain,
! [X0: $i,X1: $i] : multiply(inverse(inverse(X0)),X1) = multiply(X0,X1),
inference(superposition,[status(thm)],[c_8242,c_8242]) ).
tcf(c_9077,plain,
! [X0: $i] : multiply(X0,identity) = X0,
inference(demodulation,[status(thm)],[c_8267,c_8408]) ).
tcf(c_9088,plain,
multiply(sk_c2,sk_c7) = multiply(iPr_def_22,identity),
inference(superposition,[status(thm)],[c_9077,c_2325]) ).
tcf(c_9090,plain,
multiply(sk_c1,sk_c2) = multiply(iPr_def_24,identity),
inference(superposition,[status(thm)],[c_9077,c_2324]) ).
tcf(c_9096,plain,
inverse(identity) = identity,
inference(superposition,[status(thm)],[c_9077,c_8266]) ).
tcf(c_9097,plain,
multiply(iPr_def_24,identity) = iPr_def_24,
inference(light_normalisation,[status(thm)],[c_9090,c_424]) ).
tcf(c_9099,plain,
multiply(iPr_def_22,identity) = iPr_def_22,
inference(light_normalisation,[status(thm)],[c_9088,c_422]) ).
tcf(c_9131,plain,
multiply(identity,identity) = identity,
inference(superposition,[status(thm)],[c_9096,c_84]) ).
tcf(c_9663,plain,
multiply(sk_c2,identity) = multiply(iPr_def_23,iPr_def_24),
inference(superposition,[status(thm)],[c_9077,c_3807]) ).
tcf(c_9678,plain,
multiply(sk_c2,identity) = sk_c2,
inference(light_normalisation,[status(thm)],[c_9663,c_3804]) ).
tcf(c_9755,plain,
multiply(sk_c8,identity) = multiply(iPr_def_17,iPr_def_16),
inference(superposition,[status(thm)],[c_9077,c_3812]) ).
tcf(c_9762,plain,
multiply(sk_c8,identity) = sk_c8,
inference(light_normalisation,[status(thm)],[c_9755,c_3809]) ).
tcf(c_9943,plain,
multiply(sk_c7,identity) = multiply(iPr_def_18,iPr_def_19),
inference(superposition,[status(thm)],[c_9077,c_3825]) ).
tcf(c_9948,plain,
multiply(sk_c7,identity) = sk_c7,
inference(light_normalisation,[status(thm)],[c_9943,c_3822]) ).
tcf(c_10071,plain,
multiply(sk_c8,identity) = multiply(iPr_def_20,iPr_def_21),
inference(superposition,[status(thm)],[c_9077,c_3940]) ).
tcf(c_10087,plain,
multiply(sk_c6,iPr_def_15) = identity,
inference(superposition,[status(thm)],[c_8373,c_84]) ).
tcf(c_10092,plain,
! [X0: $i] : multiply(sk_c6,multiply(iPr_def_15,X0)) = X0,
inference(superposition,[status(thm)],[c_8373,c_8242]) ).
tcf(c_10093,plain,
multiply(sk_c6,identity) = inverse(iPr_def_15),
inference(superposition,[status(thm)],[c_8373,c_9077]) ).
tcf(c_10130,plain,
multiply(iPr_def_15,identity) = iPr_def_15,
inference(superposition,[status(thm)],[c_10087,c_2344]) ).
tcf(c_10248,plain,
inverse(iPr_def_15) = sk_c6,
inference(demodulation,[status(thm)],[c_10093,c_9077]) ).
tcf(c_10251,plain,
( ~ iPr_def_13
| ( multiply(iPr_def_15,sk_c6) != sk_c8 )
| ( multiply(inverse(iPr_def_15),sk_c7) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_10248,c_426]) ).
tcf(c_10253,plain,
( ~ iPr_def_13
| ( sk_c8 != iPr_def_14 )
| ( sk_c8 != identity ) ),
inference(light_normalisation,[status(thm)],[c_10251,c_414,c_913,c_10248]) ).
tcf(c_10465,plain,
multiply(sk_c7,identity) = multiply(iPr_def_15,iPr_def_14),
inference(superposition,[status(thm)],[c_9077,c_4025]) ).
tcf(c_10502,plain,
multiply(sk_c6,identity) = sk_c6,
inference(superposition,[status(thm)],[c_913,c_10092]) ).
tcf(c_10515,plain,
multiply(sk_c6,sk_c7) = iPr_def_14,
inference(superposition,[status(thm)],[c_3942,c_10092]) ).
tcf(c_10636,plain,
multiply(sk_c3,iPr_def_20) = identity,
inference(superposition,[status(thm)],[c_8374,c_84]) ).
tcf(c_10639,plain,
( ~ iPr_def_12
| ( multiply(sk_c3,sk_c8) != sk_c7 )
| ( inverse(inverse(iPr_def_20)) != sk_c8 ) ),
inference(superposition,[status(thm)],[c_8374,c_427]) ).
tcf(c_10641,plain,
! [X0: $i] : multiply(sk_c3,multiply(iPr_def_20,X0)) = X0,
inference(superposition,[status(thm)],[c_8374,c_8242]) ).
tcf(c_10642,plain,
multiply(sk_c3,identity) = inverse(iPr_def_20),
inference(superposition,[status(thm)],[c_8374,c_9077]) ).
tcf(c_10643,plain,
( ~ iPr_def_12
| ( sk_c7 != iPr_def_21 )
| ( inverse(inverse(iPr_def_20)) != sk_c8 ) ),
inference(light_normalisation,[status(thm)],[c_10639,c_421]) ).
tcf(c_11670,plain,
inverse(iPr_def_20) = sk_c3,
inference(demodulation,[status(thm)],[c_10642,c_9077]) ).
tcf(c_11679,plain,
multiply(sk_c3,identity) = sk_c3,
inference(superposition,[status(thm)],[c_914,c_10641]) ).
tcf(c_11680,plain,
multiply(sk_c3,sk_c8) = iPr_def_21,
inference(superposition,[status(thm)],[c_3915,c_10641]) ).
tcf(c_12048,plain,
( ~ iPr_def_12
| ( sk_c8 != identity )
| ( sk_c8 != sk_c7 ) ),
inference(light_normalisation,[status(thm)],[c_1612,c_9096]) ).
tcf(c_12386,plain,
multiply(sk_c4,iPr_def_18) = identity,
inference(superposition,[status(thm)],[c_8375,c_84]) ).
tcf(c_12388,plain,
( ~ iPr_def_10
| ( multiply(sk_c4,sk_c8) != sk_c6 )
| ( inverse(inverse(iPr_def_18)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8375,c_429]) ).
tcf(c_12391,plain,
! [X0: $i] : multiply(sk_c4,multiply(iPr_def_18,X0)) = X0,
inference(superposition,[status(thm)],[c_8375,c_8242]) ).
tcf(c_12392,plain,
multiply(sk_c4,identity) = inverse(iPr_def_18),
inference(superposition,[status(thm)],[c_8375,c_9077]) ).
tcf(c_12476,plain,
inverse(iPr_def_18) = sk_c4,
inference(demodulation,[status(thm)],[c_12392,c_9077]) ).
tcf(c_12485,plain,
multiply(sk_c4,identity) = sk_c4,
inference(superposition,[status(thm)],[c_915,c_12391]) ).
tcf(c_12486,plain,
multiply(sk_c4,sk_c7) = iPr_def_19,
inference(superposition,[status(thm)],[c_3822,c_12391]) ).
tcf(c_16692,plain,
( ~ iPr_def_10
| ( multiply(sk_c5,sk_c8) != sk_c6 )
| ( inverse(inverse(iPr_def_17)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8376,c_429]) ).
tcf(c_16695,plain,
! [X0: $i] : multiply(sk_c5,multiply(iPr_def_17,X0)) = X0,
inference(superposition,[status(thm)],[c_8376,c_8242]) ).
tcf(c_16696,plain,
multiply(sk_c5,identity) = inverse(iPr_def_17),
inference(superposition,[status(thm)],[c_8376,c_9077]) ).
tcf(c_16767,plain,
inverse(iPr_def_17) = sk_c5,
inference(demodulation,[status(thm)],[c_16696,c_9077]) ).
tcf(c_17855,plain,
multiply(sk_c5,sk_c8) = iPr_def_16,
inference(superposition,[status(thm)],[c_3809,c_16695]) ).
tcf(c_19750,plain,
multiply(sk_c1,iPr_def_23) = identity,
inference(superposition,[status(thm)],[c_8377,c_84]) ).
tcf(c_19752,plain,
( ~ iPr_def_10
| ( multiply(sk_c1,sk_c8) != sk_c6 )
| ( inverse(inverse(iPr_def_23)) != sk_c6 ) ),
inference(superposition,[status(thm)],[c_8377,c_429]) ).
tcf(c_19755,plain,
! [X0: $i] : multiply(sk_c1,multiply(iPr_def_23,X0)) = X0,
inference(superposition,[status(thm)],[c_8377,c_8242]) ).
tcf(c_19756,plain,
multiply(sk_c1,identity) = inverse(iPr_def_23),
inference(superposition,[status(thm)],[c_8377,c_9077]) ).
tcf(c_19771,plain,
( ( identity = iPr_def_24 )
| ( sk_c6 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_900,c_19750]) ).
tcf(c_19772,plain,
( ( identity = iPr_def_24 )
| ( sk_c6 = iPr_def_17 ) ),
inference(demodulation,[status(thm)],[c_899,c_19750]) ).
tcf(c_19773,plain,
( ( identity = iPr_def_24 )
| ( sk_c7 = iPr_def_18 ) ),
inference(demodulation,[status(thm)],[c_898,c_19750]) ).
tcf(c_19774,plain,
( ( identity = iPr_def_24 )
| ( sk_c6 = iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_897,c_19750]) ).
tcf(c_19804,plain,
multiply(iPr_def_23,identity) = iPr_def_23,
inference(superposition,[status(thm)],[c_19750,c_2340]) ).
tcf(c_19807,plain,
inverse(iPr_def_23) = sk_c1,
inference(demodulation,[status(thm)],[c_19756,c_9077]) ).
tcf(c_19822,plain,
multiply(sk_c1,identity) = sk_c1,
inference(superposition,[status(thm)],[c_917,c_19755]) ).
tcf(c_19823,plain,
multiply(sk_c1,sk_c2) = iPr_def_24,
inference(superposition,[status(thm)],[c_3804,c_19755]) ).
tcf(c_20750,plain,
( ( iPr_def_16 = iPr_def_17 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19772,c_19771]) ).
tcf(c_20940,plain,
( ( identity = iPr_def_24 )
| ( multiply(sk_c4,iPr_def_18) = iPr_def_19 ) ),
inference(superposition,[status(thm)],[c_19773,c_419]) ).
tcf(c_20947,plain,
( ( identity = iPr_def_24 )
| ( identity = iPr_def_19 ) ),
inference(light_normalisation,[status(thm)],[c_20940,c_12386]) ).
tcf(c_21119,plain,
( ( iPr_def_17 = iPr_def_19 )
| ( identity = iPr_def_24 ) ),
inference(superposition,[status(thm)],[c_19774,c_19772]) ).
tcf(c_31316,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_21119,c_20947,c_20750,c_19823,c_19822,c_19807,c_19804,c_19752,c_19750,c_17855,c_16767,c_16692,c_12486,c_12485,c_12476,c_12388,c_12386,c_12048,c_11680,c_11679,c_11670,c_10643,c_10636,c_10515,c_10502,c_10465,c_10253,c_10248,c_10130,c_10071,c_9948,c_9943,c_9762,c_9755,c_9678,c_9663,c_9099,c_9097,c_9088,c_9096,c_8264,c_7631,c_9131,c_1750,c_1731,c_1613,c_913,c_457,c_456,c_453,c_452,c_451,c_450,c_449,c_448,c_445,c_439,c_438,c_435,c_434,c_433,c_432,c_431,c_430,c_425,c_423,c_420,c_418,c_417,c_415]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP391-1 : 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 : n014.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 14:39:18 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...
% 5.93/2.28 % SZS status Started for theBenchmark.p
% 5.93/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 5.93/2.28
% 5.93/2.28 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 5.93/2.28
% 5.93/2.28 % ------ iProver source info
% 5.93/2.28
% 5.93/2.28 % git: date: 2026-07-19 20:42:38 +0200
% 5.93/2.28 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 5.93/2.28 % git: non_committed_changes: false
% 5.93/2.28
% 5.93/2.28 % ------ Parsing...% successful
% 5.93/2.28
% 5.93/2.28
% 5.93/2.28 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 5.93/2.28
% 5.93/2.28 % ------ Preprocessing... sup_sim: 0 sf_s rm: 0 0s sf_e pe_s pe_e %
% 5.93/2.28
% 5.93/2.28 % ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e %
% 5.93/2.28
% 5.93/2.28 % ------ Preprocessing... sf_s rm: 0 0s sf_e
% 5.93/2.28 % ------ Proving...
% 5.93/2.28 % ------ Problem Properties
% 5.93/2.28
% 5.93/2.28 %
% 5.93/2.28 % clauses 49
% 5.93/2.28 % conjectures 35
% 5.93/2.28 % EPR 31
% 5.93/2.28 % Horn 18
% 5.93/2.28 % unary 14
% 5.93/2.28 % binary 30
% 5.93/2.28 % lits 92
% 5.93/2.28 % lits eq 84
% 5.93/2.28 % fd_pure 0
% 5.93/2.28 % fd_pseudo 0
% 5.93/2.28 % fd_cond 0
% 5.93/2.28 % fd_pseudo_cond 0
% 5.93/2.28 % AC symbols 0
% 5.93/2.28
% 5.93/2.28 % ------ Schedule dynamic 5 is on
% 5.93/2.28
% 5.93/2.28 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 5.93/2.28
% 5.93/2.28
% 5.93/2.28 % ------
% 5.93/2.28 % Current options:
% 5.93/2.28 % ------
% 5.93/2.28
% 5.93/2.28
% 5.93/2.28 %
% 5.93/2.28
% 5.93/2.28 % ------ Proving...
% 5.93/2.28 %
% 5.93/2.28
% 5.93/2.28 % SZS status Unsatisfiable for theBenchmark.p
% 5.93/2.28
% 5.93/2.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 5.93/2.28
% 5.93/2.28
%------------------------------------------------------------------------------