TSTP Solution File: GRP250-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP250-1 : 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 : n032.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 11:54:31 EDT 2024
% Result : Unsatisfiable 0.14s 0.36s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 20
% Syntax : Number of formulae : 128 ( 24 unt; 0 def)
% Number of atoms : 326 ( 274 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 320 ( 122 ~; 193 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 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 : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3877,plain,
$false,
inference(subsumption_resolution,[],[f3876,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f3876,plain,
identity != multiply(inverse(identity),identity),
inference(forward_demodulation,[],[f3875,f1336]) ).
fof(f1336,plain,
identity = sk_c8,
inference(duplicate_literal_removal,[],[f1327]) ).
fof(f1327,plain,
( identity = sk_c8
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f1078,f978]) ).
fof(f978,plain,
( identity = multiply(sk_c1,sk_c9)
| identity = sk_c8 ),
inference(superposition,[],[f495,f971]) ).
fof(f971,plain,
( sk_c9 = inverse(sk_c1)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f961]) ).
fof(f961,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c1) ),
inference(superposition,[],[f571,f10]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f571,plain,
( identity = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
inference(superposition,[],[f495,f11]) ).
fof(f11,axiom,
( sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f495,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f322,f2]) ).
fof(f322,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f298,f298]) ).
fof(f298,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f255,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f255,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/sandbox/benchmark/theBenchmark.p',associativity) ).
fof(f1078,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1063]) ).
fof(f1063,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f4,f1061]) ).
fof(f1061,plain,
( sk_c1 = sk_c4
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1048]) ).
fof(f1048,plain,
( sk_c1 = sk_c4
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f1024,f980]) ).
fof(f980,plain,
( sk_c1 = inverse(sk_c9)
| identity = sk_c8 ),
inference(superposition,[],[f512,f971]) ).
fof(f512,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f496,f320]) ).
fof(f320,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f298,f2]) ).
fof(f496,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f322,f320]) ).
fof(f1024,plain,
( sk_c4 = inverse(sk_c9)
| identity = sk_c8 ),
inference(superposition,[],[f512,f1013]) ).
fof(f1013,plain,
( sk_c9 = inverse(sk_c4)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1002]) ).
fof(f1002,plain,
( identity = sk_c8
| identity = sk_c8
| sk_c9 = inverse(sk_c4) ),
inference(superposition,[],[f978,f5]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c9) = sk_c8
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c9) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f3875,plain,
sk_c8 != multiply(inverse(sk_c8),identity),
inference(forward_demodulation,[],[f3874,f3785]) ).
fof(f3785,plain,
identity = sk_c7,
inference(subsumption_resolution,[],[f3782,f1685]) ).
fof(f1685,plain,
( identity != sk_c5
| identity = sk_c7 ),
inference(equality_factoring,[],[f1637]) ).
fof(f1637,plain,
( sk_c5 = sk_c7
| identity = sk_c7 ),
inference(duplicate_literal_removal,[],[f1636]) ).
fof(f1636,plain,
( sk_c5 = sk_c7
| identity = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1635,f496]) ).
fof(f1635,plain,
( sk_c7 = multiply(sk_c5,identity)
| identity = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1634,f1336]) ).
fof(f1634,plain,
( identity = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1633,f1336]) ).
fof(f1633,plain,
( sk_c8 = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1605,f1]) ).
fof(f1605,plain,
( sk_c7 = multiply(identity,sk_c8)
| multiply(sk_c5,sk_c8) = sk_c7
| sk_c5 = sk_c7 ),
inference(superposition,[],[f18,f1597]) ).
fof(f1597,plain,
( identity = sk_c2
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1589,f2]) ).
fof(f1589,plain,
( sk_c2 = multiply(inverse(identity),identity)
| sk_c5 = sk_c7 ),
inference(superposition,[],[f320,f1400]) ).
fof(f1400,plain,
( identity = inverse(sk_c2)
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1399,f1336]) ).
fof(f1399,plain,
( sk_c5 = sk_c7
| sk_c8 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f1351,f496]) ).
fof(f1351,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c8 = inverse(sk_c2) ),
inference(superposition,[],[f24,f1336]) ).
fof(f24,axiom,
( multiply(sk_c5,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f18,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| multiply(sk_c5,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f3782,plain,
( identity = sk_c5
| identity = sk_c7 ),
inference(duplicate_literal_removal,[],[f3747]) ).
fof(f3747,plain,
( identity = sk_c5
| identity = sk_c7
| identity = sk_c7 ),
inference(superposition,[],[f3524,f3339]) ).
fof(f3339,plain,
( sk_c5 = inverse(sk_c5)
| identity = sk_c7 ),
inference(duplicate_literal_removal,[],[f3303]) ).
fof(f3303,plain,
( sk_c5 = inverse(sk_c5)
| identity = sk_c7
| identity = sk_c7 ),
inference(superposition,[],[f3272,f1637]) ).
fof(f3272,plain,
( sk_c7 = inverse(sk_c7)
| identity = sk_c7 ),
inference(duplicate_literal_removal,[],[f3255]) ).
fof(f3255,plain,
( sk_c7 = inverse(sk_c7)
| identity = sk_c7
| identity = sk_c7 ),
inference(superposition,[],[f3243,f2130]) ).
fof(f2130,plain,
( sk_c7 = sk_c6
| identity = sk_c7 ),
inference(subsumption_resolution,[],[f2129,f1685]) ).
fof(f2129,plain,
( identity = sk_c7
| sk_c7 = sk_c6
| identity = sk_c5 ),
inference(forward_demodulation,[],[f2122,f1]) ).
fof(f2122,plain,
( sk_c7 = multiply(identity,identity)
| sk_c7 = sk_c6
| identity = sk_c5 ),
inference(superposition,[],[f1398,f1416]) ).
fof(f1416,plain,
( identity = sk_c2
| identity = sk_c5 ),
inference(forward_demodulation,[],[f1415,f383]) ).
fof(f383,plain,
identity = inverse(identity),
inference(superposition,[],[f362,f2]) ).
fof(f362,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f298,f319]) ).
fof(f319,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f298,f1]) ).
fof(f1415,plain,
( sk_c5 = inverse(identity)
| identity = sk_c2 ),
inference(forward_demodulation,[],[f1414,f1336]) ).
fof(f1414,plain,
( identity = sk_c2
| sk_c5 = inverse(sk_c8) ),
inference(forward_demodulation,[],[f1373,f383]) ).
fof(f1373,plain,
( sk_c2 = inverse(identity)
| sk_c5 = inverse(sk_c8) ),
inference(superposition,[],[f644,f1336]) ).
fof(f644,plain,
( sk_c2 = inverse(sk_c8)
| sk_c5 = inverse(sk_c8) ),
inference(superposition,[],[f512,f537]) ).
fof(f537,plain,
( sk_c8 = inverse(sk_c5)
| sk_c2 = inverse(sk_c8) ),
inference(superposition,[],[f512,f25]) ).
fof(f25,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f1398,plain,
( sk_c7 = multiply(sk_c2,identity)
| sk_c7 = sk_c6 ),
inference(forward_demodulation,[],[f1397,f496]) ).
fof(f1397,plain,
( sk_c7 = multiply(sk_c6,identity)
| sk_c7 = multiply(sk_c2,identity) ),
inference(forward_demodulation,[],[f1350,f1336]) ).
fof(f1350,plain,
( sk_c7 = multiply(sk_c2,identity)
| sk_c7 = multiply(sk_c6,sk_c8) ),
inference(superposition,[],[f21,f1336]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c7 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f3243,plain,
( sk_c7 = inverse(sk_c6)
| identity = sk_c7 ),
inference(duplicate_literal_removal,[],[f3227]) ).
fof(f3227,plain,
( identity = sk_c7
| sk_c7 = inverse(sk_c6)
| sk_c7 = inverse(sk_c6) ),
inference(superposition,[],[f574,f20]) ).
fof(f20,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f574,plain,
( identity = multiply(sk_c2,sk_c8)
| sk_c7 = inverse(sk_c6) ),
inference(superposition,[],[f495,f26]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f3524,plain,
( identity = inverse(sk_c5)
| identity = sk_c7 ),
inference(forward_demodulation,[],[f3523,f1336]) ).
fof(f3523,plain,
( identity = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(duplicate_literal_removal,[],[f3522]) ).
fof(f3522,plain,
( identity = sk_c7
| sk_c8 = inverse(sk_c5)
| identity = sk_c7 ),
inference(forward_demodulation,[],[f3521,f1336]) ).
fof(f3521,plain,
( sk_c8 = sk_c7
| sk_c8 = inverse(sk_c5)
| identity = sk_c7 ),
inference(forward_demodulation,[],[f3472,f1]) ).
fof(f3472,plain,
( sk_c7 = multiply(identity,sk_c8)
| sk_c8 = inverse(sk_c5)
| identity = sk_c7 ),
inference(superposition,[],[f19,f3424]) ).
fof(f3424,plain,
( identity = sk_c2
| identity = sk_c7 ),
inference(forward_demodulation,[],[f3423,f383]) ).
fof(f3423,plain,
( sk_c2 = inverse(identity)
| identity = sk_c7 ),
inference(forward_demodulation,[],[f3422,f1336]) ).
fof(f3422,plain,
( identity = sk_c7
| sk_c2 = inverse(sk_c8) ),
inference(subsumption_resolution,[],[f3421,f1685]) ).
fof(f3421,plain,
( identity = sk_c5
| identity = sk_c7
| sk_c2 = inverse(sk_c8) ),
inference(forward_demodulation,[],[f3387,f1336]) ).
fof(f3387,plain,
( sk_c8 = sk_c5
| identity = sk_c7
| sk_c2 = inverse(sk_c8) ),
inference(superposition,[],[f3339,f537]) ).
fof(f19,axiom,
( sk_c7 = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f3874,plain,
sk_c8 != multiply(inverse(sk_c8),sk_c7),
inference(unit_resulting_resolution,[],[f1339,f3794,f1340,f3275,f512,f3795,f50]) ).
fof(f50,plain,
! [X5] :
( ~ sP4
| sk_c8 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| sk_c8 != inverse(X5) ),
inference(general_splitting,[],[f48,f49_D]) ).
fof(f49,plain,
! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4)
| sP4 ),
inference(cnf_transformation,[],[f49_D]) ).
fof(f49_D,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
<=> ~ sP4 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP4])]) ).
fof(f48,plain,
! [X4,X5] :
( sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f46,f47_D]) ).
fof(f47,plain,
! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sP3 ),
inference(cnf_transformation,[],[f47_D]) ).
fof(f47_D,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f46,plain,
! [X7,X4,X5] :
( sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f44,f45_D]) ).
fof(f45,plain,
! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6)
| sP2 ),
inference(cnf_transformation,[],[f45_D]) ).
fof(f45_D,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f44,plain,
! [X6,X7,X4,X5] :
( sk_c9 != inverse(X6)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X4,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f42,f43_D]) ).
fof(f43,plain,
! [X8] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8)
| sP1 ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,plain,
( ! [X8] :
( sk_c7 != multiply(X8,sk_c8)
| sk_c7 != inverse(X8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f42,plain,
! [X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X6)
| sk_c7 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X8,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X5,sk_c7)
| ~ sP0 ),
inference(general_splitting,[],[f40,f41_D]) ).
fof(f41,plain,
! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f41_D]) ).
fof(f41_D,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c9)
| sk_c9 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X3)
| sk_c9 != inverse(X6)
| sk_c7 != inverse(X8)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X4)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(X7,sk_c8)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X8,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f3795,plain,
sP3,
inference(unit_resulting_resolution,[],[f383,f3785,f1407]) ).
fof(f1407,plain,
! [X0] :
( identity != inverse(X0)
| sk_c7 != X0
| sP3 ),
inference(forward_demodulation,[],[f1406,f1336]) ).
fof(f1406,plain,
! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8
| sP3 ),
inference(forward_demodulation,[],[f1356,f496]) ).
fof(f1356,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8
| sP3 ),
inference(superposition,[],[f47,f1336]) ).
fof(f3275,plain,
sP1,
inference(subsumption_resolution,[],[f3274,f1412]) ).
fof(f1412,plain,
( identity != sk_c7
| sP1 ),
inference(subsumption_resolution,[],[f1365,f512]) ).
fof(f1365,plain,
( identity != inverse(inverse(identity))
| identity != sk_c7
| sP1 ),
inference(superposition,[],[f118,f1336]) ).
fof(f118,plain,
( identity != inverse(inverse(sk_c8))
| identity != sk_c7
| sP1 ),
inference(inner_rewriting,[],[f98]) ).
fof(f98,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c8))
| sP1 ),
inference(superposition,[],[f43,f2]) ).
fof(f3274,plain,
( sP1
| identity = sk_c7 ),
inference(subsumption_resolution,[],[f3271,f2130]) ).
fof(f3271,plain,
( sk_c7 != sk_c6
| sP1
| identity = sk_c7 ),
inference(trivial_inequality_removal,[],[f3264]) ).
fof(f3264,plain,
( sk_c7 != sk_c7
| sk_c7 != sk_c6
| sP1
| identity = sk_c7 ),
inference(superposition,[],[f1405,f3243]) ).
fof(f1405,plain,
! [X0] :
( inverse(X0) != sk_c7
| sk_c7 != X0
| sP1 ),
inference(forward_demodulation,[],[f1355,f496]) ).
fof(f1355,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c7
| sP1 ),
inference(superposition,[],[f43,f1336]) ).
fof(f1340,plain,
sP2,
inference(unit_resulting_resolution,[],[f1336,f563]) ).
fof(f563,plain,
( identity != sk_c8
| sP2 ),
inference(trivial_inequality_removal,[],[f551]) ).
fof(f551,plain,
( sk_c9 != sk_c9
| identity != sk_c8
| sP2 ),
inference(superposition,[],[f137,f512]) ).
fof(f137,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| sP2 ),
inference(superposition,[],[f45,f2]) ).
fof(f3794,plain,
sP4,
inference(unit_resulting_resolution,[],[f383,f3785,f1409]) ).
fof(f1409,plain,
! [X0] :
( identity != inverse(X0)
| sk_c7 != X0
| sP4 ),
inference(forward_demodulation,[],[f1408,f1336]) ).
fof(f1408,plain,
! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8
| sP4 ),
inference(forward_demodulation,[],[f1357,f496]) ).
fof(f1357,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8
| sP4 ),
inference(superposition,[],[f49,f1336]) ).
fof(f1339,plain,
sP0,
inference(unit_resulting_resolution,[],[f1336,f562]) ).
fof(f562,plain,
( identity != sk_c8
| sP0 ),
inference(trivial_inequality_removal,[],[f552]) ).
fof(f552,plain,
( sk_c9 != sk_c9
| identity != sk_c8
| sP0 ),
inference(superposition,[],[f68,f512]) ).
fof(f68,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| sP0 ),
inference(superposition,[],[f41,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP250-1 : TPTP v8.1.2. Released v2.5.0.
% 0.09/0.11 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 04:27:21 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (9556)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.31 % (9561)WARNING: value z3 for option sas not known
% 0.14/0.31 % (9563)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)
% 0.14/0.31 % (9559)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.31 % (9564)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)
% 0.14/0.31 % (9565)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)
% 0.14/0.31 % (9561)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)
% 0.14/0.32 % (9562)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [1]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 TRYING [2]
% 0.14/0.32 % (9560)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.32 TRYING [3]
% 0.14/0.32 TRYING [3]
% 0.14/0.33 TRYING [4]
% 0.14/0.34 TRYING [4]
% 0.14/0.34 TRYING [5]
% 0.14/0.36 % (9565)First to succeed.
% 0.14/0.36 % (9565)Refutation found. Thanks to Tanya!
% 0.14/0.36 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.36 % (9565)------------------------------
% 0.14/0.36 % (9565)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.36 % (9565)Termination reason: Refutation
% 0.14/0.36
% 0.14/0.36 % (9565)Memory used [KB]: 1281
% 0.14/0.36 % (9565)Time elapsed: 0.045 s
% 0.14/0.36 % (9565)Instructions burned: 173 (million)
% 0.14/0.36 % (9565)------------------------------
% 0.14/0.36 % (9565)------------------------------
% 0.14/0.36 % (9556)Success in time 0.055 s
%------------------------------------------------------------------------------