TSTP Solution File: GRP256-1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 11:55:09 EDT 2024
% Result : Unsatisfiable 0.21s 0.49s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 19
% Syntax : Number of formulae : 139 ( 24 unt; 0 def)
% Number of atoms : 359 ( 294 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 379 ( 159 ~; 215 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 6 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6876,plain,
$false,
inference(subsumption_resolution,[],[f6875,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f6875,plain,
identity != multiply(inverse(identity),identity),
inference(forward_demodulation,[],[f6874,f6871]) ).
fof(f6871,plain,
identity = sk_c8,
inference(subsumption_resolution,[],[f6831,f6057]) ).
fof(f6057,plain,
( sk_c8 = sk_c7
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f5991]) ).
fof(f5991,plain,
( identity = sk_c8
| sk_c8 = sk_c7
| sk_c8 = sk_c7 ),
inference(superposition,[],[f5977,f1335]) ).
fof(f1335,plain,
( sk_c8 = sk_c2
| sk_c8 = sk_c7 ),
inference(superposition,[],[f1119,f420]) ).
fof(f420,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f282,f280]) ).
fof(f280,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f258,f2]) ).
fof(f258,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f209,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f209,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f282,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f258,f258]) ).
fof(f1119,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[],[f1118,f1]) ).
fof(f1118,plain,
( sk_c8 = multiply(identity,sk_c7)
| sk_c8 = multiply(sk_c2,identity) ),
inference(forward_demodulation,[],[f1066,f1051]) ).
fof(f1051,plain,
identity = sk_c9,
inference(duplicate_literal_removal,[],[f1042]) ).
fof(f1042,plain,
( identity = sk_c9
| identity = sk_c9
| identity = sk_c9 ),
inference(superposition,[],[f853,f763]) ).
fof(f763,plain,
( identity = multiply(sk_c1,sk_c10)
| identity = sk_c9 ),
inference(superposition,[],[f419,f756]) ).
fof(f756,plain,
( sk_c10 = inverse(sk_c1)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f746]) ).
fof(f746,plain,
( identity = sk_c9
| sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f507,f11]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f507,plain,
( identity = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f419,f12]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f419,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f282,f2]) ).
fof(f853,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f842]) ).
fof(f842,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9
| identity = sk_c9 ),
inference(superposition,[],[f4,f840]) ).
fof(f840,plain,
( sk_c1 = sk_c4
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f827]) ).
fof(f827,plain,
( sk_c1 = sk_c4
| identity = sk_c9
| identity = sk_c9 ),
inference(superposition,[],[f807,f765]) ).
fof(f765,plain,
( sk_c1 = inverse(sk_c10)
| identity = sk_c9 ),
inference(superposition,[],[f436,f756]) ).
fof(f436,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f420,f280]) ).
fof(f807,plain,
( sk_c4 = inverse(sk_c10)
| identity = sk_c9 ),
inference(superposition,[],[f436,f796]) ).
fof(f796,plain,
( sk_c10 = inverse(sk_c4)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f785]) ).
fof(f785,plain,
( identity = sk_c9
| identity = sk_c9
| sk_c10 = inverse(sk_c4) ),
inference(superposition,[],[f763,f5]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f1066,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c8 = multiply(sk_c9,sk_c7) ),
inference(superposition,[],[f22,f1051]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f5977,plain,
( identity = sk_c2
| sk_c8 = sk_c7 ),
inference(forward_demodulation,[],[f5962,f2]) ).
fof(f5962,plain,
( sk_c2 = multiply(inverse(identity),identity)
| sk_c8 = sk_c7 ),
inference(superposition,[],[f280,f5932]) ).
fof(f5932,plain,
( identity = inverse(sk_c2)
| sk_c8 = sk_c7 ),
inference(superposition,[],[f1123,f1]) ).
fof(f1123,plain,
( sk_c8 = multiply(identity,sk_c7)
| identity = inverse(sk_c2) ),
inference(forward_demodulation,[],[f1069,f1051]) ).
fof(f1069,plain,
( sk_c8 = multiply(identity,sk_c7)
| sk_c9 = inverse(sk_c2) ),
inference(superposition,[],[f29,f1051]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f6831,plain,
( sk_c8 != sk_c7
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f6830]) ).
fof(f6830,plain,
( sk_c8 != sk_c7
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f5456,f6742]) ).
fof(f6742,plain,
( sk_c7 = sk_c6
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f6673]) ).
fof(f6673,plain,
( identity = sk_c8
| sk_c7 = sk_c6
| sk_c7 = sk_c6 ),
inference(superposition,[],[f6659,f1391]) ).
fof(f1391,plain,
( sk_c8 = sk_c2
| sk_c7 = sk_c6 ),
inference(superposition,[],[f1121,f420]) ).
fof(f1121,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[],[f1120,f420]) ).
fof(f1120,plain,
( sk_c7 = multiply(sk_c6,identity)
| sk_c8 = multiply(sk_c2,identity) ),
inference(forward_demodulation,[],[f1067,f1051]) ).
fof(f1067,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c6,sk_c9) ),
inference(superposition,[],[f23,f1051]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f6659,plain,
( identity = sk_c2
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[],[f6644,f2]) ).
fof(f6644,plain,
( sk_c2 = multiply(inverse(identity),identity)
| sk_c7 = sk_c6 ),
inference(superposition,[],[f280,f6602]) ).
fof(f6602,plain,
( identity = inverse(sk_c2)
| sk_c7 = sk_c6 ),
inference(superposition,[],[f1124,f420]) ).
fof(f1124,plain,
( sk_c7 = multiply(sk_c6,identity)
| identity = inverse(sk_c2) ),
inference(forward_demodulation,[],[f1070,f1051]) ).
fof(f1070,plain,
( sk_c7 = multiply(sk_c6,identity)
| sk_c9 = inverse(sk_c2) ),
inference(superposition,[],[f30,f1051]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f5456,plain,
( sk_c8 != sk_c6
| identity = sk_c8 ),
inference(inner_rewriting,[],[f5455]) ).
fof(f5455,plain,
( identity = sk_c6
| sk_c8 != sk_c6 ),
inference(duplicate_literal_removal,[],[f5454]) ).
fof(f5454,plain,
( identity = sk_c6
| sk_c8 != sk_c6
| identity = sk_c6 ),
inference(forward_demodulation,[],[f5453,f349]) ).
fof(f349,plain,
identity = inverse(identity),
inference(superposition,[],[f328,f2]) ).
fof(f328,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f258,f279]) ).
fof(f279,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f258,f1]) ).
fof(f5453,plain,
( sk_c6 = inverse(identity)
| sk_c8 != sk_c6
| identity = sk_c6 ),
inference(forward_demodulation,[],[f5365,f1051]) ).
fof(f5365,plain,
( sk_c8 != sk_c6
| sk_c6 = inverse(sk_c9)
| identity = sk_c6 ),
inference(superposition,[],[f625,f5339]) ).
fof(f5339,plain,
( sk_c8 = sk_c2
| identity = sk_c6 ),
inference(forward_demodulation,[],[f5325,f2]) ).
fof(f5325,plain,
( sk_c6 = multiply(inverse(identity),identity)
| sk_c8 = sk_c2 ),
inference(superposition,[],[f280,f5286]) ).
fof(f5286,plain,
( identity = inverse(sk_c6)
| sk_c8 = sk_c2 ),
inference(superposition,[],[f1122,f420]) ).
fof(f1122,plain,
( sk_c8 = multiply(sk_c2,identity)
| identity = inverse(sk_c6) ),
inference(forward_demodulation,[],[f1068,f1051]) ).
fof(f1068,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f24,f1051]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f625,plain,
( sk_c6 != sk_c2
| sk_c6 = inverse(sk_c9) ),
inference(equality_factoring,[],[f567]) ).
fof(f567,plain,
( sk_c2 = inverse(sk_c9)
| sk_c6 = inverse(sk_c9) ),
inference(superposition,[],[f436,f462]) ).
fof(f462,plain,
( sk_c9 = inverse(sk_c6)
| sk_c2 = inverse(sk_c9) ),
inference(superposition,[],[f436,f31]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f6874,plain,
sk_c8 != multiply(inverse(sk_c8),identity),
inference(forward_demodulation,[],[f6872,f1051]) ).
fof(f6872,plain,
sk_c8 != multiply(inverse(sk_c8),sk_c9),
inference(unit_resulting_resolution,[],[f1056,f1055,f6868,f1057,f436,f6870,f57]) ).
fof(f57,plain,
! [X5] :
( ~ sP4
| sk_c8 != multiply(X5,sk_c9)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| sk_c8 != inverse(X5) ),
inference(general_splitting,[],[f55,f56_D]) ).
fof(f56,plain,
! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4)
| sP4 ),
inference(cnf_transformation,[],[f56_D]) ).
fof(f56_D,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f55,plain,
! [X4,X5] :
( sk_c8 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f54,plain,
! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sP3 ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f53,plain,
! [X7,X4,X5] :
( sk_c8 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f52,plain,
! [X9] :
( sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9)
| sP2 ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
( ! [X9] :
( sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f51,plain,
! [X9,X7,X4,X5] :
( sk_c8 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X9)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != multiply(X7,sk_c8)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f50,plain,
! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sP1 ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f49,plain,
! [X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X9)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8)
| ~ sP0 ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f48,plain,
! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c10)
| sk_c10 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X9)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X6)
| sk_c10 != inverse(X3)
| sk_c8 != inverse(X5)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X9)
| sk_c8 != multiply(X4,sk_c9)
| sk_c8 != multiply(X5,sk_c9)
| sk_c8 != multiply(sk_c9,X8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X7,sk_c8)
| multiply(X9,sk_c9) != X8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f6870,plain,
sP4,
inference(subsumption_resolution,[],[f6869,f485]) ).
fof(f485,plain,
( identity != sk_c8
| sP4 ),
inference(trivial_inequality_removal,[],[f478]) ).
fof(f478,plain,
( sk_c9 != sk_c9
| identity != sk_c8
| sP4 ),
inference(superposition,[],[f147,f436]) ).
fof(f147,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| sP4 ),
inference(superposition,[],[f56,f2]) ).
fof(f6869,plain,
( sP4
| identity = sk_c8 ),
inference(subsumption_resolution,[],[f6812,f6057]) ).
fof(f6812,plain,
( sk_c8 != sk_c7
| sP4
| identity = sk_c8 ),
inference(superposition,[],[f2071,f6742]) ).
fof(f2071,plain,
( sk_c8 != sk_c6
| sP4 ),
inference(subsumption_resolution,[],[f2061,f485]) ).
fof(f2061,plain,
( sk_c8 != sk_c6
| sP4
| identity = sk_c8 ),
inference(trivial_inequality_removal,[],[f2058]) ).
fof(f2058,plain,
( identity != identity
| sk_c8 != sk_c6
| sP4
| identity = sk_c8 ),
inference(superposition,[],[f1136,f2022]) ).
fof(f2022,plain,
( identity = inverse(sk_c6)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2005,f1051]) ).
fof(f2005,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c6) ),
inference(duplicate_literal_removal,[],[f1992]) ).
fof(f1992,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f510,f24]) ).
fof(f510,plain,
( identity = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f419,f31]) ).
fof(f1136,plain,
! [X0] :
( identity != inverse(X0)
| sk_c8 != X0
| sP4 ),
inference(forward_demodulation,[],[f1135,f1051]) ).
fof(f1135,plain,
! [X0] :
( sk_c8 != X0
| inverse(X0) != sk_c9
| sP4 ),
inference(forward_demodulation,[],[f1081,f420]) ).
fof(f1081,plain,
! [X0] :
( sk_c8 != multiply(X0,identity)
| inverse(X0) != sk_c9
| sP4 ),
inference(superposition,[],[f56,f1051]) ).
fof(f1057,plain,
sP1,
inference(unit_resulting_resolution,[],[f1051,f487]) ).
fof(f487,plain,
( identity != sk_c9
| sP1 ),
inference(trivial_inequality_removal,[],[f476]) ).
fof(f476,plain,
( sk_c10 != sk_c10
| identity != sk_c9
| sP1 ),
inference(superposition,[],[f98,f436]) ).
fof(f98,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c9
| sP1 ),
inference(superposition,[],[f50,f2]) ).
fof(f6868,plain,
sP2,
inference(subsumption_resolution,[],[f6867,f1140]) ).
fof(f1140,plain,
( identity != sk_c8
| sP2 ),
inference(subsumption_resolution,[],[f1139,f1051]) ).
fof(f1139,plain,
( identity != sk_c9
| identity != sk_c8
| sP2 ),
inference(forward_demodulation,[],[f1138,f349]) ).
fof(f1138,plain,
( identity != sk_c8
| sk_c9 != inverse(identity)
| sP2 ),
inference(forward_demodulation,[],[f1087,f1]) ).
fof(f1087,plain,
( sk_c8 != multiply(identity,identity)
| sk_c9 != inverse(identity)
| sP2 ),
inference(superposition,[],[f191,f1051]) ).
fof(f191,plain,
( sk_c8 != multiply(sk_c9,sk_c9)
| sk_c9 != inverse(identity)
| sP2 ),
inference(superposition,[],[f52,f1]) ).
fof(f6867,plain,
( sP2
| identity = sk_c8 ),
inference(subsumption_resolution,[],[f6811,f6057]) ).
fof(f6811,plain,
( sk_c8 != sk_c7
| sP2
| identity = sk_c8 ),
inference(superposition,[],[f2070,f6742]) ).
fof(f2070,plain,
( sk_c8 != sk_c6
| sP2 ),
inference(subsumption_resolution,[],[f2062,f1140]) ).
fof(f2062,plain,
( sk_c8 != sk_c6
| sP2
| identity = sk_c8 ),
inference(trivial_inequality_removal,[],[f2057]) ).
fof(f2057,plain,
( identity != identity
| sk_c8 != sk_c6
| sP2
| identity = sk_c8 ),
inference(superposition,[],[f1134,f2022]) ).
fof(f1134,plain,
! [X0] :
( identity != inverse(X0)
| sk_c8 != X0
| sP2 ),
inference(forward_demodulation,[],[f1133,f1051]) ).
fof(f1133,plain,
! [X0] :
( sk_c8 != X0
| inverse(X0) != sk_c9
| sP2 ),
inference(forward_demodulation,[],[f1132,f420]) ).
fof(f1132,plain,
! [X0] :
( sk_c8 != multiply(X0,identity)
| inverse(X0) != sk_c9
| sP2 ),
inference(forward_demodulation,[],[f1080,f1]) ).
fof(f1080,plain,
! [X0] :
( sk_c8 != multiply(identity,multiply(X0,identity))
| inverse(X0) != sk_c9
| sP2 ),
inference(superposition,[],[f52,f1051]) ).
fof(f1055,plain,
sP3,
inference(unit_resulting_resolution,[],[f1051,f484]) ).
fof(f484,plain,
( identity != sk_c9
| sP3 ),
inference(trivial_inequality_removal,[],[f479]) ).
fof(f479,plain,
( sk_c8 != sk_c8
| identity != sk_c9
| sP3 ),
inference(superposition,[],[f118,f436]) ).
fof(f118,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != sk_c9
| sP3 ),
inference(superposition,[],[f54,f2]) ).
fof(f1056,plain,
sP0,
inference(unit_resulting_resolution,[],[f1051,f486]) ).
fof(f486,plain,
( identity != sk_c9
| sP0 ),
inference(trivial_inequality_removal,[],[f477]) ).
fof(f477,plain,
( sk_c10 != sk_c10
| identity != sk_c9
| sP0 ),
inference(superposition,[],[f75,f436]) ).
fof(f75,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c9
| sP0 ),
inference(superposition,[],[f48,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP256-1 : TPTP v8.1.2. Released v2.5.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n015.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 04:54:18 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 % (13653)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38 % (13654)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.38 % (13658)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.39 % (13656)WARNING: value z3 for option sas not known
% 0.14/0.39 TRYING [1]
% 0.14/0.39 % (13660)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.39 % (13659)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.39 % (13655)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.39 TRYING [2]
% 0.14/0.39 % (13657)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.39 % (13656)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.40 TRYING [3]
% 0.21/0.40 TRYING [1]
% 0.21/0.40 TRYING [2]
% 0.21/0.40 TRYING [3]
% 0.21/0.42 TRYING [4]
% 0.21/0.43 TRYING [4]
% 0.21/0.44 TRYING [5]
% 0.21/0.47 TRYING [6]
% 0.21/0.49 % (13660)First to succeed.
% 0.21/0.49 % (13660)Refutation found. Thanks to Tanya!
% 0.21/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.49 % (13660)------------------------------
% 0.21/0.49 % (13660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.49 % (13660)Termination reason: Refutation
% 0.21/0.49
% 0.21/0.49 % (13660)Memory used [KB]: 1393
% 0.21/0.49 % (13660)Time elapsed: 0.107 s
% 0.21/0.49 % (13660)Instructions burned: 300 (million)
% 0.21/0.49 % (13660)------------------------------
% 0.21/0.49 % (13660)------------------------------
% 0.21/0.49 % (13653)Success in time 0.134 s
%------------------------------------------------------------------------------