TSTP Solution File: GRP248-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP248-1 : 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 : n022.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 11:54:30 EDT 2024
% Result : Unsatisfiable 0.16s 0.42s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 60
% Number of leaves : 24
% Syntax : Number of formulae : 143 ( 28 unt; 0 def)
% Number of atoms : 369 ( 313 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 378 ( 152 ~; 221 |; 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 : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5559,plain,
$false,
inference(subsumption_resolution,[],[f5558,f4748]) ).
fof(f4748,plain,
sk_c1 != sk_c10,
inference(unit_resulting_resolution,[],[f4746,f2879]) ).
fof(f2879,plain,
! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != X0 ),
inference(subsumption_resolution,[],[f2878,f1249]) ).
fof(f1249,plain,
! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != X0
| sP2 ),
inference(forward_demodulation,[],[f1207,f398]) ).
fof(f398,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f266,f264]) ).
fof(f264,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f242,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f242,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f194,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f194,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(f266,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f242,f242]) ).
fof(f1207,plain,
! [X0] :
( sk_c10 != multiply(X0,identity)
| inverse(X0) != sk_c10
| sP2 ),
inference(superposition,[],[f52,f1192]) ).
fof(f1192,plain,
identity = sk_c9,
inference(duplicate_literal_removal,[],[f1185]) ).
fof(f1185,plain,
( identity = sk_c9
| identity = sk_c9
| identity = sk_c9 ),
inference(superposition,[],[f1043,f854]) ).
fof(f854,plain,
( identity = multiply(sk_c1,sk_c10)
| identity = sk_c9 ),
inference(superposition,[],[f397,f846]) ).
fof(f846,plain,
( sk_c10 = inverse(sk_c1)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f838]) ).
fof(f838,plain,
( identity = sk_c9
| sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f469,f15]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f469,plain,
( identity = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f397,f16]) ).
fof(f16,axiom,
( sk_c7 = inverse(sk_c6)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f397,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f266,f2]) ).
fof(f1043,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f1026]) ).
fof(f1026,plain,
( identity = sk_c9
| identity = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(superposition,[],[f931,f8]) ).
fof(f8,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f931,plain,
( identity = multiply(sk_c6,sk_c7)
| identity = sk_c9 ),
inference(superposition,[],[f397,f894]) ).
fof(f894,plain,
( sk_c7 = inverse(sk_c6)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f880]) ).
fof(f880,plain,
( identity = sk_c9
| identity = sk_c9
| sk_c7 = inverse(sk_c6) ),
inference(superposition,[],[f854,f9]) ).
fof(f9,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f52,plain,
! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6)
| sP2 ),
inference(cnf_transformation,[],[f52_D]) ).
fof(f52_D,plain,
( ! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f2878,plain,
! [X0] :
( sk_c10 != X0
| ~ sP2
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[],[f2877,f398]) ).
fof(f2877,plain,
! [X0] :
( sk_c10 != multiply(X0,identity)
| ~ sP2
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[],[f2876,f2805]) ).
fof(f2805,plain,
identity = sk_c8,
inference(duplicate_literal_removal,[],[f2795]) ).
fof(f2795,plain,
( identity = sk_c8
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f2266,f2034]) ).
fof(f2034,plain,
! [X0] :
( multiply(sk_c5,X0) = X0
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2021,f263]) ).
fof(f263,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f242,f1]) ).
fof(f2021,plain,
! [X0] :
( multiply(sk_c5,X0) = multiply(inverse(identity),X0)
| identity = sk_c8 ),
inference(superposition,[],[f266,f1990]) ).
fof(f1990,plain,
( identity = inverse(sk_c5)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f1982,f1192]) ).
fof(f1982,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c5) ),
inference(duplicate_literal_removal,[],[f1965]) ).
fof(f1965,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c5) ),
inference(superposition,[],[f471,f20]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f471,plain,
( identity = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c5) ),
inference(superposition,[],[f397,f27]) ).
fof(f27,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c9 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f2266,plain,
( identity = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2265,f1192]) ).
fof(f2265,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(duplicate_literal_removal,[],[f2264]) ).
fof(f2264,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2263,f1192]) ).
fof(f2263,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2220,f1]) ).
fof(f2220,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(superposition,[],[f21,f2204]) ).
fof(f2204,plain,
( identity = sk_c2
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2191,f2]) ).
fof(f2191,plain,
( sk_c2 = multiply(inverse(identity),identity)
| identity = sk_c8 ),
inference(superposition,[],[f264,f2136]) ).
fof(f2136,plain,
( identity = inverse(sk_c2)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2135,f1192]) ).
fof(f2135,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c2) ),
inference(duplicate_literal_removal,[],[f2134]) ).
fof(f2134,plain,
( identity = sk_c8
| identity = sk_c8
| sk_c9 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f2110,f1192]) ).
fof(f2110,plain,
( sk_c9 = sk_c8
| identity = sk_c8
| sk_c9 = inverse(sk_c2) ),
inference(superposition,[],[f2034,f28]) ).
fof(f28,axiom,
( sk_c9 = multiply(sk_c5,sk_c8)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f2876,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c8)
| ~ sP2
| inverse(X0) != sk_c10 ),
inference(subsumption_resolution,[],[f2875,f2809]) ).
fof(f2809,plain,
sP3,
inference(unit_resulting_resolution,[],[f1192,f2805,f357]) ).
fof(f357,plain,
( identity != sk_c8
| identity != sk_c9
| sP3 ),
inference(inner_rewriting,[],[f348]) ).
fof(f348,plain,
( identity != sk_c9
| sk_c9 != sk_c8
| sP3 ),
inference(superposition,[],[f117,f331]) ).
fof(f331,plain,
identity = inverse(identity),
inference(superposition,[],[f312,f2]) ).
fof(f312,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f242,f263]) ).
fof(f117,plain,
( sk_c9 != inverse(identity)
| sk_c9 != sk_c8
| sP3 ),
inference(superposition,[],[f54,f1]) ).
fof(f54,plain,
! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7)
| sP3 ),
inference(cnf_transformation,[],[f54_D]) ).
fof(f54_D,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c9 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f2875,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c8)
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c10 ),
inference(subsumption_resolution,[],[f2874,f1195]) ).
fof(f1195,plain,
sP1,
inference(unit_resulting_resolution,[],[f1192,f653]) ).
fof(f653,plain,
( identity != sk_c9
| sP1 ),
inference(duplicate_literal_removal,[],[f652]) ).
fof(f652,plain,
( identity != sk_c9
| identity != sk_c9
| sP1 ),
inference(forward_demodulation,[],[f606,f397]) ).
fof(f606,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c8,inverse(sk_c8))
| sP1 ),
inference(superposition,[],[f50,f2]) ).
fof(f50,plain,
! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8))
| sP1 ),
inference(cnf_transformation,[],[f50_D]) ).
fof(f50_D,plain,
( ! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8)) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2874,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c8)
| ~ sP1
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c10 ),
inference(subsumption_resolution,[],[f2873,f1194]) ).
fof(f1194,plain,
sP0,
inference(unit_resulting_resolution,[],[f1192,f460]) ).
fof(f460,plain,
( identity != sk_c9
| sP0 ),
inference(trivial_inequality_removal,[],[f451]) ).
fof(f451,plain,
( sk_c10 != sk_c10
| identity != sk_c9
| sP0 ),
inference(superposition,[],[f71,f413]) ).
fof(f413,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f398,f264]) ).
fof(f71,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c9
| sP0 ),
inference(superposition,[],[f48,f2]) ).
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(f2873,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c8)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c10 ),
inference(resolution,[],[f2811,f57]) ).
fof(f57,plain,
! [X5] :
( ~ sP4
| sk_c10 != multiply(X5,sk_c8)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| sk_c10 != 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_c10 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c8)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f53,f54_D]) ).
fof(f53,plain,
! [X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c8)
| sk_c9 != multiply(X7,sk_c8)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f51,f52_D]) ).
fof(f51,plain,
! [X6,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c8)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f49,f50_D]) ).
fof(f49,plain,
! [X8,X6,X7,X4,X5] :
( sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c8)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8))
| ~ sP0 ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f47,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c8)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X8,inverse(X8)) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X7)
| inverse(X8) != X9
| sk_c8 != multiply(X4,sk_c9)
| sk_c10 != multiply(X5,sk_c8)
| sk_c10 != multiply(X6,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X8,X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f2811,plain,
sP4,
inference(unit_resulting_resolution,[],[f331,f2805,f1251]) ).
fof(f1251,plain,
! [X0] :
( identity != inverse(X0)
| sk_c8 != X0
| sP4 ),
inference(forward_demodulation,[],[f1250,f1192]) ).
fof(f1250,plain,
! [X0] :
( sk_c8 != X0
| inverse(X0) != sk_c9
| sP4 ),
inference(forward_demodulation,[],[f1208,f398]) ).
fof(f1208,plain,
! [X0] :
( sk_c8 != multiply(X0,identity)
| inverse(X0) != sk_c9
| sP4 ),
inference(superposition,[],[f56,f1192]) ).
fof(f4746,plain,
sk_c10 = inverse(sk_c1),
inference(subsumption_resolution,[],[f4742,f2969]) ).
fof(f2969,plain,
( sk_c10 != sk_c4
| sk_c10 = inverse(sk_c1) ),
inference(trivial_inequality_removal,[],[f2894]) ).
fof(f2894,plain,
( sk_c10 != sk_c4
| sk_c10 != sk_c10
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f2879,f434]) ).
fof(f434,plain,
( sk_c4 = inverse(sk_c10)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f413,f11]) ).
fof(f11,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f4742,plain,
( sk_c10 = sk_c4
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f1197,f398]) ).
fof(f1197,plain,
( sk_c10 = multiply(sk_c4,identity)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f12,f1192]) ).
fof(f12,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f5558,plain,
sk_c1 = sk_c10,
inference(forward_demodulation,[],[f5557,f5323]) ).
fof(f5323,plain,
sk_c1 = sk_c4,
inference(subsumption_resolution,[],[f5322,f2888]) ).
fof(f2888,plain,
sk_c10 != inverse(sk_c10),
inference(unit_resulting_resolution,[],[f413,f2879]) ).
fof(f5322,plain,
( sk_c10 = inverse(sk_c10)
| sk_c1 = sk_c4 ),
inference(duplicate_literal_removal,[],[f5300]) ).
fof(f5300,plain,
( sk_c10 = inverse(sk_c10)
| sk_c1 = sk_c4
| sk_c1 = sk_c4 ),
inference(superposition,[],[f5076,f4777]) ).
fof(f4777,plain,
( sk_c10 = sk_c4
| sk_c1 = sk_c4 ),
inference(superposition,[],[f4759,f3367]) ).
fof(f3367,plain,
( sk_c4 = inverse(sk_c10)
| sk_c10 = sk_c4 ),
inference(subsumption_resolution,[],[f3307,f2888]) ).
fof(f3307,plain,
( sk_c10 = inverse(sk_c10)
| sk_c4 = inverse(sk_c10)
| sk_c10 = sk_c4 ),
inference(superposition,[],[f728,f3284]) ).
fof(f3284,plain,
( sk_c10 = sk_c3
| sk_c10 = sk_c4 ),
inference(superposition,[],[f2332,f398]) ).
fof(f2332,plain,
( sk_c10 = multiply(sk_c3,identity)
| sk_c10 = sk_c4 ),
inference(duplicate_literal_removal,[],[f2331]) ).
fof(f2331,plain,
( sk_c10 = sk_c4
| sk_c10 = multiply(sk_c3,identity)
| sk_c10 = sk_c4 ),
inference(forward_demodulation,[],[f2330,f398]) ).
fof(f2330,plain,
( sk_c10 = multiply(sk_c4,identity)
| sk_c10 = multiply(sk_c3,identity)
| sk_c10 = sk_c4 ),
inference(forward_demodulation,[],[f2293,f1192]) ).
fof(f2293,plain,
( sk_c10 = multiply(sk_c3,identity)
| sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = sk_c4 ),
inference(superposition,[],[f40,f2251]) ).
fof(f2251,plain,
( identity = sk_c8
| sk_c10 = sk_c4 ),
inference(duplicate_literal_removal,[],[f2215]) ).
fof(f2215,plain,
( identity = sk_c8
| identity = sk_c8
| sk_c10 = sk_c4 ),
inference(superposition,[],[f2204,f1502]) ).
fof(f1502,plain,
( sk_c8 = sk_c2
| sk_c10 = sk_c4 ),
inference(superposition,[],[f1243,f398]) ).
fof(f1243,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c10 = sk_c4 ),
inference(forward_demodulation,[],[f1242,f398]) ).
fof(f1242,plain,
( sk_c10 = multiply(sk_c4,identity)
| sk_c8 = multiply(sk_c2,identity) ),
inference(forward_demodulation,[],[f1199,f1192]) ).
fof(f1199,plain,
( sk_c8 = multiply(sk_c2,identity)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(superposition,[],[f19,f1192]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f728,plain,
( sk_c10 = inverse(sk_c3)
| sk_c4 = inverse(sk_c10) ),
inference(superposition,[],[f413,f574]) ).
fof(f574,plain,
( sk_c3 = inverse(sk_c10)
| sk_c4 = inverse(sk_c10) ),
inference(superposition,[],[f413,f442]) ).
fof(f442,plain,
( sk_c10 = inverse(sk_c4)
| sk_c3 = inverse(sk_c10) ),
inference(superposition,[],[f413,f32]) ).
fof(f32,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f4759,plain,
sk_c1 = inverse(sk_c10),
inference(superposition,[],[f413,f4746]) ).
fof(f5076,plain,
( sk_c10 = inverse(sk_c4)
| sk_c1 = sk_c4 ),
inference(subsumption_resolution,[],[f5075,f4748]) ).
fof(f5075,plain,
( sk_c1 = sk_c10
| sk_c10 = inverse(sk_c4)
| sk_c1 = sk_c4 ),
inference(forward_demodulation,[],[f5074,f398]) ).
fof(f5074,plain,
( sk_c10 = multiply(sk_c1,identity)
| sk_c10 = inverse(sk_c4)
| sk_c1 = sk_c4 ),
inference(forward_demodulation,[],[f5022,f2805]) ).
fof(f5022,plain,
( sk_c10 = multiply(sk_c1,sk_c8)
| sk_c10 = inverse(sk_c4)
| sk_c1 = sk_c4 ),
inference(superposition,[],[f39,f4811]) ).
fof(f4811,plain,
( sk_c1 = sk_c3
| sk_c1 = sk_c4 ),
inference(forward_demodulation,[],[f4769,f4759]) ).
fof(f4769,plain,
( sk_c1 = sk_c3
| sk_c4 = inverse(sk_c10) ),
inference(superposition,[],[f4759,f574]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c3,sk_c8)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f5557,plain,
sk_c10 = sk_c4,
inference(subsumption_resolution,[],[f5536,f2888]) ).
fof(f5536,plain,
( sk_c10 = inverse(sk_c10)
| sk_c10 = sk_c4 ),
inference(superposition,[],[f5382,f3284]) ).
fof(f5382,plain,
sk_c10 = inverse(sk_c3),
inference(subsumption_resolution,[],[f5381,f4748]) ).
fof(f5381,plain,
( sk_c1 = sk_c10
| sk_c10 = inverse(sk_c3) ),
inference(forward_demodulation,[],[f5380,f398]) ).
fof(f5380,plain,
( sk_c10 = multiply(sk_c1,identity)
| sk_c10 = inverse(sk_c3) ),
inference(forward_demodulation,[],[f5329,f1192]) ).
fof(f5329,plain,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c3) ),
inference(superposition,[],[f33,f5323]) ).
fof(f33,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : GRP248-1 : TPTP v8.1.2. Released v2.5.0.
% 0.05/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n022.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 04:17:58 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.31 % (19730)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32 % (19733)WARNING: value z3 for option sas not known
% 0.16/0.32 % (19734)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.32 % (19731)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.32 % (19736)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)
% 0.16/0.32 % (19735)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)
% 0.16/0.32 % (19733)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)
% 0.16/0.32 % (19737)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)
% 0.16/0.32 % (19732)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.33 TRYING [3]
% 0.16/0.33 TRYING [1]
% 0.16/0.33 TRYING [2]
% 0.16/0.34 TRYING [4]
% 0.16/0.34 TRYING [3]
% 0.16/0.36 TRYING [5]
% 0.16/0.36 TRYING [4]
% 0.16/0.40 TRYING [6]
% 0.16/0.42 % (19737)First to succeed.
% 0.16/0.42 % (19737)Refutation found. Thanks to Tanya!
% 0.16/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.42 % (19737)------------------------------
% 0.16/0.42 % (19737)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.42 % (19737)Termination reason: Refutation
% 0.16/0.42
% 0.16/0.42 % (19737)Memory used [KB]: 1341
% 0.16/0.42 % (19737)Time elapsed: 0.100 s
% 0.16/0.42 % (19737)Instructions burned: 228 (million)
% 0.16/0.42 % (19737)------------------------------
% 0.16/0.42 % (19737)------------------------------
% 0.16/0.42 % (19730)Success in time 0.115 s
%------------------------------------------------------------------------------