TSTP Solution File: GRP222-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP222-1 : 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 : n028.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 11:53:14 EDT 2024
% Result : Unsatisfiable 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 17
% Syntax : Number of formulae : 126 ( 23 unt; 0 def)
% Number of atoms : 307 ( 261 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 301 ( 120 ~; 178 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 4 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1689,plain,
$false,
inference(trivial_inequality_removal,[],[f1687]) ).
fof(f1687,plain,
identity != identity,
inference(superposition,[],[f1645,f165]) ).
fof(f165,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f117,f129]) ).
fof(f129,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f117,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f117,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f92,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f92,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(f1645,plain,
! [X0] : identity != multiply(inverse(X0),sk_c1),
inference(forward_demodulation,[],[f1644,f727]) ).
fof(f727,plain,
identity = sk_c6,
inference(duplicate_literal_removal,[],[f716]) ).
fof(f716,plain,
( identity = sk_c6
| identity = sk_c6
| identity = sk_c6 ),
inference(superposition,[],[f703,f574]) ).
fof(f574,plain,
( identity = multiply(sk_c4,sk_c7)
| identity = sk_c6 ),
inference(superposition,[],[f218,f567]) ).
fof(f567,plain,
( sk_c7 = inverse(sk_c4)
| identity = sk_c6 ),
inference(duplicate_literal_removal,[],[f559]) ).
fof(f559,plain,
( identity = sk_c6
| sk_c7 = inverse(sk_c4)
| sk_c7 = inverse(sk_c4) ),
inference(superposition,[],[f305,f13]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f305,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c4) ),
inference(superposition,[],[f218,f17]) ).
fof(f17,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f218,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f131,f2]) ).
fof(f131,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f117,f117]) ).
fof(f703,plain,
( multiply(sk_c4,sk_c7) = sk_c6
| identity = sk_c6 ),
inference(duplicate_literal_removal,[],[f686]) ).
fof(f686,plain,
( identity = sk_c6
| identity = sk_c6
| multiply(sk_c4,sk_c7) = sk_c6 ),
inference(superposition,[],[f664,f12]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c2,sk_c3)
| multiply(sk_c4,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f664,plain,
( identity = multiply(sk_c2,sk_c3)
| identity = sk_c6 ),
inference(superposition,[],[f218,f656]) ).
fof(f656,plain,
( sk_c3 = inverse(sk_c2)
| identity = sk_c6 ),
inference(duplicate_literal_removal,[],[f644]) ).
fof(f644,plain,
( identity = sk_c6
| identity = sk_c6
| sk_c3 = inverse(sk_c2) ),
inference(superposition,[],[f574,f16]) ).
fof(f16,axiom,
( multiply(sk_c4,sk_c7) = sk_c6
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f1644,plain,
! [X0] : sk_c6 != multiply(inverse(X0),sk_c1),
inference(forward_demodulation,[],[f1643,f1149]) ).
fof(f1149,plain,
sk_c1 = sk_c7,
inference(subsumption_resolution,[],[f1146,f1095]) ).
fof(f1095,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c7)
| sk_c1 = sk_c7 ),
inference(forward_demodulation,[],[f1094,f727]) ).
fof(f1094,plain,
! [X0] :
( sk_c1 = sk_c7
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1093,f727]) ).
fof(f1093,plain,
! [X0] :
( identity != sk_c6
| sk_c1 = sk_c7
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(forward_demodulation,[],[f1092,f218]) ).
fof(f1092,plain,
! [X0] :
( sk_c1 = sk_c7
| sk_c6 != multiply(X0,inverse(X0))
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1091,f979]) ).
fof(f979,plain,
( sP0
| sk_c1 = sk_c7 ),
inference(subsumption_resolution,[],[f968,f877]) ).
fof(f877,plain,
( sk_c7 = sk_c4
| sk_c1 = sk_c7 ),
inference(duplicate_literal_removal,[],[f854]) ).
fof(f854,plain,
( sk_c7 = sk_c4
| sk_c1 = sk_c7
| sk_c1 = sk_c7 ),
inference(superposition,[],[f848,f815]) ).
fof(f815,plain,
( sk_c4 = sk_c5
| sk_c1 = sk_c7 ),
inference(duplicate_literal_removal,[],[f799]) ).
fof(f799,plain,
( sk_c4 = sk_c5
| sk_c1 = sk_c7
| sk_c1 = sk_c7 ),
inference(superposition,[],[f775,f764]) ).
fof(f764,plain,
( sk_c4 = inverse(sk_c7)
| sk_c1 = sk_c7 ),
inference(superposition,[],[f257,f749]) ).
fof(f749,plain,
( sk_c7 = inverse(sk_c4)
| sk_c1 = sk_c7 ),
inference(forward_demodulation,[],[f731,f219]) ).
fof(f219,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f131,f129]) ).
fof(f731,plain,
( sk_c7 = multiply(sk_c1,identity)
| sk_c7 = inverse(sk_c4) ),
inference(superposition,[],[f9,f727]) ).
fof(f9,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f257,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f219,f129]) ).
fof(f775,plain,
( sk_c5 = inverse(sk_c7)
| sk_c1 = sk_c7 ),
inference(superposition,[],[f257,f750]) ).
fof(f750,plain,
( sk_c7 = inverse(sk_c5)
| sk_c1 = sk_c7 ),
inference(forward_demodulation,[],[f732,f219]) ).
fof(f732,plain,
( sk_c7 = multiply(sk_c1,identity)
| sk_c7 = inverse(sk_c5) ),
inference(superposition,[],[f10,f727]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f848,plain,
( sk_c7 = sk_c5
| sk_c1 = sk_c7 ),
inference(superposition,[],[f752,f219]) ).
fof(f752,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c1 = sk_c7 ),
inference(forward_demodulation,[],[f751,f219]) ).
fof(f751,plain,
( sk_c7 = multiply(sk_c1,identity)
| sk_c7 = multiply(sk_c5,identity) ),
inference(forward_demodulation,[],[f733,f727]) ).
fof(f733,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c7 = multiply(sk_c1,sk_c6) ),
inference(superposition,[],[f11,f727]) ).
fof(f11,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f968,plain,
( sk_c7 != sk_c4
| sP0
| sk_c1 = sk_c7 ),
inference(trivial_inequality_removal,[],[f944]) ).
fof(f944,plain,
( sk_c7 != sk_c4
| sk_c7 != sk_c7
| sP0
| sk_c1 = sk_c7 ),
inference(superposition,[],[f753,f764]) ).
fof(f753,plain,
! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != X0
| sP0 ),
inference(forward_demodulation,[],[f735,f219]) ).
fof(f735,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c7
| sP0 ),
inference(superposition,[],[f26,f727]) ).
fof(f26,plain,
! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f26_D]) ).
fof(f26_D,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f1091,plain,
! [X0] :
( sk_c1 = sk_c7
| sk_c6 != multiply(X0,inverse(X0))
| ~ sP0
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1090,f729]) ).
fof(f729,plain,
sP1,
inference(unit_resulting_resolution,[],[f257,f727,f62]) ).
fof(f62,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != sk_c6
| sP1 ),
inference(superposition,[],[f28,f2]) ).
fof(f28,plain,
! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6)
| sP1 ),
inference(cnf_transformation,[],[f28_D]) ).
fof(f28_D,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1090,plain,
! [X0] :
( sk_c1 = sk_c7
| sk_c6 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(resolution,[],[f1083,f31]) ).
fof(f31,plain,
! [X4] :
( ~ sP2
| sk_c6 != multiply(X4,inverse(X4))
| ~ sP0
| ~ sP1
| sk_c6 != multiply(inverse(X4),sk_c7) ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f30,plain,
! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7)
| sP2 ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f29,plain,
! [X7,X4] :
( sk_c7 != inverse(X7)
| sk_c6 != multiply(inverse(X4),sk_c7)
| sk_c6 != multiply(X4,inverse(X4))
| sk_c7 != multiply(X7,sk_c6)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f27,f28_D]) ).
fof(f27,plain,
! [X6,X7,X4] :
( sk_c7 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sk_c6 != multiply(inverse(X4),sk_c7)
| sk_c6 != multiply(X4,inverse(X4))
| sk_c7 != multiply(X7,sk_c6)
| ~ sP0 ),
inference(general_splitting,[],[f25,f26_D]) ).
fof(f25,plain,
! [X3,X6,X7,X4] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X7)
| sk_c7 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7)
| sk_c6 != multiply(inverse(X4),sk_c7)
| sk_c6 != multiply(X4,inverse(X4))
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X7,sk_c6) ),
inference(equality_resolution,[],[f24]) ).
fof(f24,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X7)
| sk_c7 != inverse(X6)
| inverse(X4) != X5
| sk_c6 != multiply(X6,sk_c7)
| sk_c6 != multiply(X5,sk_c7)
| sk_c6 != multiply(X4,X5)
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != multiply(X7,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f1083,plain,
( sP2
| sk_c1 = sk_c7 ),
inference(subsumption_resolution,[],[f1072,f877]) ).
fof(f1072,plain,
( sk_c7 != sk_c4
| sP2
| sk_c1 = sk_c7 ),
inference(trivial_inequality_removal,[],[f1046]) ).
fof(f1046,plain,
( sk_c7 != sk_c4
| sk_c7 != sk_c7
| sP2
| sk_c1 = sk_c7 ),
inference(superposition,[],[f754,f764]) ).
fof(f754,plain,
! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != X0
| sP2 ),
inference(forward_demodulation,[],[f736,f219]) ).
fof(f736,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c7
| sP2 ),
inference(superposition,[],[f30,f727]) ).
fof(f1146,plain,
( identity = multiply(inverse(sk_c4),sk_c7)
| sk_c1 = sk_c7 ),
inference(superposition,[],[f117,f835]) ).
fof(f835,plain,
( sk_c7 = multiply(sk_c4,identity)
| sk_c1 = sk_c7 ),
inference(duplicate_literal_removal,[],[f834]) ).
fof(f834,plain,
( sk_c1 = sk_c7
| sk_c7 = multiply(sk_c4,identity)
| sk_c1 = sk_c7 ),
inference(forward_demodulation,[],[f833,f219]) ).
fof(f833,plain,
( sk_c7 = multiply(sk_c1,identity)
| sk_c7 = multiply(sk_c4,identity)
| sk_c1 = sk_c7 ),
inference(forward_demodulation,[],[f832,f727]) ).
fof(f832,plain,
( sk_c7 = multiply(sk_c4,identity)
| sk_c7 = multiply(sk_c1,sk_c6)
| sk_c1 = sk_c7 ),
inference(forward_demodulation,[],[f820,f727]) ).
fof(f820,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6)
| sk_c1 = sk_c7 ),
inference(superposition,[],[f11,f815]) ).
fof(f1643,plain,
! [X0] : sk_c6 != multiply(inverse(X0),sk_c7),
inference(subsumption_resolution,[],[f1642,f727]) ).
fof(f1642,plain,
! [X0] :
( identity != sk_c6
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(forward_demodulation,[],[f1641,f218]) ).
fof(f1641,plain,
! [X0] :
( sk_c6 != multiply(X0,inverse(X0))
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1640,f729]) ).
fof(f1640,plain,
! [X0] :
( sk_c6 != multiply(X0,inverse(X0))
| ~ sP1
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1639,f1637]) ).
fof(f1637,plain,
sP0,
inference(subsumption_resolution,[],[f1634,f1149]) ).
fof(f1634,plain,
( sk_c1 != sk_c7
| sP0 ),
inference(duplicate_literal_removal,[],[f1631]) ).
fof(f1631,plain,
( sk_c1 != sk_c7
| sk_c1 != sk_c7
| sP0 ),
inference(superposition,[],[f753,f1611]) ).
fof(f1611,plain,
sk_c1 = inverse(sk_c1),
inference(subsumption_resolution,[],[f1604,f1264]) ).
fof(f1264,plain,
( sk_c1 != sk_c4
| sk_c1 = inverse(sk_c1) ),
inference(equality_factoring,[],[f1212]) ).
fof(f1212,plain,
( inverse(sk_c1) = sk_c4
| sk_c1 = inverse(sk_c1) ),
inference(forward_demodulation,[],[f1162,f1149]) ).
fof(f1162,plain,
( inverse(sk_c1) = sk_c4
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[],[f278,f1149]) ).
fof(f278,plain,
( sk_c4 = inverse(sk_c7)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[],[f257,f5]) ).
fof(f5,axiom,
( sk_c7 = inverse(sk_c4)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f1604,plain,
( sk_c1 = sk_c4
| sk_c1 = inverse(sk_c1) ),
inference(superposition,[],[f1545,f219]) ).
fof(f1545,plain,
( sk_c1 = multiply(sk_c4,identity)
| sk_c1 = inverse(sk_c1) ),
inference(forward_demodulation,[],[f1544,f1149]) ).
fof(f1544,plain,
( sk_c1 = multiply(sk_c4,identity)
| inverse(sk_c1) = sk_c7 ),
inference(forward_demodulation,[],[f1543,f1149]) ).
fof(f1543,plain,
( sk_c7 = multiply(sk_c4,identity)
| inverse(sk_c1) = sk_c7 ),
inference(forward_demodulation,[],[f1523,f727]) ).
fof(f1523,plain,
( sk_c7 = multiply(sk_c4,sk_c6)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[],[f7,f1519]) ).
fof(f1519,plain,
sk_c4 = sk_c5,
inference(subsumption_resolution,[],[f1514,f1089]) ).
fof(f1089,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c7)
| sk_c4 = sk_c5 ),
inference(forward_demodulation,[],[f1088,f727]) ).
fof(f1088,plain,
! [X0] :
( sk_c4 = sk_c5
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1087,f727]) ).
fof(f1087,plain,
! [X0] :
( identity != sk_c6
| sk_c4 = sk_c5
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(forward_demodulation,[],[f1086,f218]) ).
fof(f1086,plain,
! [X0] :
( sk_c4 = sk_c5
| sk_c6 != multiply(X0,inverse(X0))
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1085,f978]) ).
fof(f978,plain,
( sP0
| sk_c4 = sk_c5 ),
inference(subsumption_resolution,[],[f975,f815]) ).
fof(f975,plain,
( sk_c1 != sk_c7
| sP0
| sk_c4 = sk_c5 ),
inference(trivial_inequality_removal,[],[f937]) ).
fof(f937,plain,
( sk_c7 != sk_c7
| sk_c1 != sk_c7
| sP0
| sk_c4 = sk_c5 ),
inference(superposition,[],[f753,f343]) ).
fof(f343,plain,
( inverse(sk_c1) = sk_c7
| sk_c4 = sk_c5 ),
inference(duplicate_literal_removal,[],[f332]) ).
fof(f332,plain,
( sk_c4 = sk_c5
| inverse(sk_c1) = sk_c7
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[],[f279,f278]) ).
fof(f279,plain,
( sk_c5 = inverse(sk_c7)
| inverse(sk_c1) = sk_c7 ),
inference(superposition,[],[f257,f6]) ).
fof(f6,axiom,
( sk_c7 = inverse(sk_c5)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f1085,plain,
! [X0] :
( sk_c4 = sk_c5
| sk_c6 != multiply(X0,inverse(X0))
| ~ sP0
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(subsumption_resolution,[],[f1084,f729]) ).
fof(f1084,plain,
! [X0] :
( sk_c4 = sk_c5
| sk_c6 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(resolution,[],[f1082,f31]) ).
fof(f1082,plain,
( sP2
| sk_c4 = sk_c5 ),
inference(subsumption_resolution,[],[f1079,f815]) ).
fof(f1079,plain,
( sk_c1 != sk_c7
| sP2
| sk_c4 = sk_c5 ),
inference(trivial_inequality_removal,[],[f1039]) ).
fof(f1039,plain,
( sk_c7 != sk_c7
| sk_c1 != sk_c7
| sP2
| sk_c4 = sk_c5 ),
inference(superposition,[],[f754,f343]) ).
fof(f1514,plain,
( identity = multiply(inverse(inverse(sk_c1)),sk_c7)
| sk_c4 = sk_c5 ),
inference(superposition,[],[f117,f360]) ).
fof(f360,plain,
( sk_c7 = multiply(inverse(sk_c1),identity)
| sk_c4 = sk_c5 ),
inference(superposition,[],[f129,f351]) ).
fof(f351,plain,
( sk_c1 = inverse(sk_c7)
| sk_c4 = sk_c5 ),
inference(superposition,[],[f257,f343]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| inverse(sk_c1) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f1639,plain,
! [X0] :
( sk_c6 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| sk_c6 != multiply(inverse(X0),sk_c7) ),
inference(resolution,[],[f1638,f31]) ).
fof(f1638,plain,
sP2,
inference(subsumption_resolution,[],[f1633,f1149]) ).
fof(f1633,plain,
( sk_c1 != sk_c7
| sP2 ),
inference(duplicate_literal_removal,[],[f1632]) ).
fof(f1632,plain,
( sk_c1 != sk_c7
| sk_c1 != sk_c7
| sP2 ),
inference(superposition,[],[f754,f1611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP222-1 : TPTP v8.1.2. Released v2.5.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n028.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:42:44 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (3154)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (3157)WARNING: value z3 for option sas not known
% 0.15/0.38 % (3158)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (3155)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (3156)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (3157)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)
% 0.15/0.38 % (3160)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)
% 0.15/0.38 % (3159)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)
% 0.15/0.38 % (3161)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)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.41 TRYING [5]
% 0.15/0.41 % (3161)First to succeed.
% 0.15/0.41 % (3157)Also succeeded, but the first one will report.
% 0.15/0.41 % (3161)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (3161)------------------------------
% 0.15/0.41 % (3161)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.41 % (3161)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (3161)Memory used [KB]: 1058
% 0.15/0.41 % (3161)Time elapsed: 0.035 s
% 0.15/0.41 % (3161)Instructions burned: 68 (million)
% 0.15/0.41 % (3161)------------------------------
% 0.15/0.41 % (3161)------------------------------
% 0.15/0.41 % (3154)Success in time 0.036 s
%------------------------------------------------------------------------------