TSTP Solution File: GRP245-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP245-1 : 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 : n018.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 : Sun May 5 05:56:21 EDT 2024
% Result : Unsatisfiable 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 48
% Number of leaves : 21
% Syntax : Number of formulae : 116 ( 26 unt; 0 def)
% Number of atoms : 305 ( 253 equ)
% Maximal formula atoms : 13 ( 2 avg)
% Number of connectives : 335 ( 146 ~; 184 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 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 : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8383,plain,
$false,
inference(subsumption_resolution,[],[f8382,f7939]) ).
fof(f7939,plain,
sk_c10 != inverse(sk_c10),
inference(unit_resulting_resolution,[],[f402,f2931]) ).
fof(f2931,plain,
! [X0] :
( sk_c10 != multiply(X0,identity)
| inverse(X0) != sk_c10 ),
inference(forward_demodulation,[],[f2930,f1197]) ).
fof(f1197,plain,
identity = sk_c9,
inference(duplicate_literal_removal,[],[f1190]) ).
fof(f1190,plain,
( identity = sk_c9
| identity = sk_c9
| identity = sk_c9 ),
inference(superposition,[],[f1047,f858]) ).
fof(f858,plain,
( identity = multiply(sk_c1,sk_c10)
| identity = sk_c9 ),
inference(superposition,[],[f401,f850]) ).
fof(f850,plain,
( sk_c10 = inverse(sk_c1)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f842]) ).
fof(f842,plain,
( identity = sk_c9
| sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f473,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(f473,plain,
( identity = multiply(sk_c6,sk_c7)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f401,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(f401,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f270,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f270,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f246,f246]) ).
fof(f246,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f198,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f198,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(f1047,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f1030]) ).
fof(f1030,plain,
( identity = sk_c9
| identity = sk_c9
| multiply(sk_c1,sk_c10) = sk_c9 ),
inference(superposition,[],[f935,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(f935,plain,
( identity = multiply(sk_c6,sk_c7)
| identity = sk_c9 ),
inference(superposition,[],[f401,f898]) ).
fof(f898,plain,
( sk_c7 = inverse(sk_c6)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f884]) ).
fof(f884,plain,
( identity = sk_c9
| identity = sk_c9
| sk_c7 = inverse(sk_c6) ),
inference(superposition,[],[f858,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(f2930,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| inverse(X0) != sk_c10 ),
inference(subsumption_resolution,[],[f2929,f52]) ).
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(f2929,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| ~ sP2
| inverse(X0) != sk_c10 ),
inference(subsumption_resolution,[],[f2928,f2882]) ).
fof(f2882,plain,
sP3,
inference(unit_resulting_resolution,[],[f1197,f2878,f361]) ).
fof(f361,plain,
( identity != sk_c8
| identity != sk_c9
| sP3 ),
inference(inner_rewriting,[],[f352]) ).
fof(f352,plain,
( identity != sk_c9
| sk_c9 != sk_c8
| sP3 ),
inference(superposition,[],[f131,f335]) ).
fof(f335,plain,
identity = inverse(identity),
inference(superposition,[],[f316,f2]) ).
fof(f316,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f246,f267]) ).
fof(f267,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f246,f1]) ).
fof(f131,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(f2878,plain,
identity = sk_c8,
inference(duplicate_literal_removal,[],[f2868]) ).
fof(f2868,plain,
( identity = sk_c8
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f2352,f2128]) ).
fof(f2128,plain,
! [X0] :
( multiply(sk_c5,X0) = X0
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2115,f267]) ).
fof(f2115,plain,
! [X0] :
( multiply(sk_c5,X0) = multiply(inverse(identity),X0)
| identity = sk_c8 ),
inference(superposition,[],[f270,f2084]) ).
fof(f2084,plain,
( identity = inverse(sk_c5)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2076,f1197]) ).
fof(f2076,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c5) ),
inference(duplicate_literal_removal,[],[f2059]) ).
fof(f2059,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c5)
| sk_c9 = inverse(sk_c5) ),
inference(superposition,[],[f475,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(f475,plain,
( identity = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c5) ),
inference(superposition,[],[f401,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(f2352,plain,
( identity = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2351,f1197]) ).
fof(f2351,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8) ),
inference(duplicate_literal_removal,[],[f2350]) ).
fof(f2350,plain,
( identity = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2349,f1197]) ).
fof(f2349,plain,
( sk_c9 = sk_c8
| sk_c9 = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2306,f1]) ).
fof(f2306,plain,
( sk_c8 = multiply(identity,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(superposition,[],[f21,f2285]) ).
fof(f2285,plain,
( identity = sk_c2
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2272,f2]) ).
fof(f2272,plain,
( sk_c2 = multiply(inverse(identity),identity)
| identity = sk_c8 ),
inference(superposition,[],[f268,f2216]) ).
fof(f2216,plain,
( identity = inverse(sk_c2)
| identity = sk_c8 ),
inference(forward_demodulation,[],[f2215,f1197]) ).
fof(f2215,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c2) ),
inference(duplicate_literal_removal,[],[f2214]) ).
fof(f2214,plain,
( identity = sk_c8
| identity = sk_c8
| sk_c9 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f2190,f1197]) ).
fof(f2190,plain,
( sk_c9 = sk_c8
| identity = sk_c8
| sk_c9 = inverse(sk_c2) ),
inference(superposition,[],[f2128,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(f268,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f246,f2]) ).
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(f2928,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c10 ),
inference(subsumption_resolution,[],[f2927,f1200]) ).
fof(f1200,plain,
sP1,
inference(unit_resulting_resolution,[],[f1197,f690]) ).
fof(f690,plain,
( identity != sk_c9
| sP1 ),
inference(duplicate_literal_removal,[],[f689]) ).
fof(f689,plain,
( identity != sk_c9
| identity != sk_c9
| sP1 ),
inference(forward_demodulation,[],[f639,f401]) ).
fof(f639,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(f2927,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| ~ sP1
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c10 ),
inference(subsumption_resolution,[],[f2926,f1199]) ).
fof(f1199,plain,
sP0,
inference(unit_resulting_resolution,[],[f1197,f464]) ).
fof(f464,plain,
( identity != sk_c9
| sP0 ),
inference(trivial_inequality_removal,[],[f455]) ).
fof(f455,plain,
( sk_c10 != sk_c10
| identity != sk_c9
| sP0 ),
inference(superposition,[],[f71,f417]) ).
fof(f417,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f402,f268]) ).
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(f2926,plain,
! [X0] :
( sk_c10 != multiply(X0,sk_c9)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c10 ),
inference(resolution,[],[f2884,f57]) ).
fof(f57,plain,
! [X5] :
( ~ sP4
| sk_c10 != multiply(X5,sk_c9)
| ~ 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_c9)
| ~ 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_c9)
| 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(X6,sk_c9)
| sk_c10 != multiply(X5,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(X6,sk_c9)
| sk_c10 != multiply(X5,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(X6,sk_c9)
| sk_c10 != multiply(X5,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(X6,sk_c9)
| sk_c10 != multiply(X5,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(f2884,plain,
sP4,
inference(unit_resulting_resolution,[],[f335,f2878,f1262]) ).
fof(f1262,plain,
! [X0] :
( identity != inverse(X0)
| sk_c8 != X0
| sP4 ),
inference(forward_demodulation,[],[f1261,f1197]) ).
fof(f1261,plain,
! [X0] :
( sk_c8 != X0
| inverse(X0) != sk_c9
| sP4 ),
inference(forward_demodulation,[],[f1220,f402]) ).
fof(f1220,plain,
! [X0] :
( sk_c8 != multiply(X0,identity)
| inverse(X0) != sk_c9
| sP4 ),
inference(superposition,[],[f56,f1197]) ).
fof(f402,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f270,f268]) ).
fof(f8382,plain,
sk_c10 = inverse(sk_c10),
inference(forward_demodulation,[],[f8381,f8072]) ).
fof(f8072,plain,
sk_c10 = sk_c4,
inference(subsumption_resolution,[],[f8026,f8051]) ).
fof(f8051,plain,
sk_c10 = inverse(sk_c3),
inference(subsumption_resolution,[],[f8032,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(f8032,plain,
( sk_c10 != inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
inference(trivial_inequality_removal,[],[f7972]) ).
fof(f7972,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c4)
| sk_c10 = inverse(sk_c3) ),
inference(superposition,[],[f2931,f1211]) ).
fof(f1211,plain,
( sk_c10 = multiply(sk_c4,identity)
| sk_c10 = inverse(sk_c3) ),
inference(superposition,[],[f33,f1197]) ).
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) ).
fof(f8026,plain,
( sk_c10 != inverse(sk_c3)
| sk_c10 = sk_c4 ),
inference(trivial_inequality_removal,[],[f7995]) ).
fof(f7995,plain,
( sk_c10 != sk_c10
| sk_c10 != inverse(sk_c3)
| sk_c10 = sk_c4 ),
inference(superposition,[],[f2931,f1255]) ).
fof(f1255,plain,
( sk_c10 = multiply(sk_c3,identity)
| sk_c10 = sk_c4 ),
inference(forward_demodulation,[],[f1254,f402]) ).
fof(f1254,plain,
( sk_c10 = multiply(sk_c4,identity)
| sk_c10 = multiply(sk_c3,identity) ),
inference(forward_demodulation,[],[f1213,f1197]) ).
fof(f1213,plain,
( sk_c10 = multiply(sk_c3,identity)
| sk_c10 = multiply(sk_c4,sk_c9) ),
inference(superposition,[],[f40,f1197]) ).
fof(f40,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_37) ).
fof(f8381,plain,
sk_c4 = inverse(sk_c10),
inference(subsumption_resolution,[],[f8318,f7939]) ).
fof(f8318,plain,
( sk_c10 = inverse(sk_c10)
| sk_c4 = inverse(sk_c10) ),
inference(superposition,[],[f734,f8291]) ).
fof(f8291,plain,
sk_c10 = sk_c3,
inference(subsumption_resolution,[],[f8276,f7939]) ).
fof(f8276,plain,
( sk_c10 = inverse(sk_c10)
| sk_c10 = sk_c3 ),
inference(superposition,[],[f5200,f8072]) ).
fof(f5200,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = sk_c3 ),
inference(superposition,[],[f1212,f402]) ).
fof(f1212,plain,
( sk_c10 = multiply(sk_c3,identity)
| sk_c10 = inverse(sk_c4) ),
inference(superposition,[],[f39,f1197]) ).
fof(f39,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_36) ).
fof(f734,plain,
( sk_c10 = inverse(sk_c3)
| sk_c4 = inverse(sk_c10) ),
inference(superposition,[],[f417,f578]) ).
fof(f578,plain,
( sk_c3 = inverse(sk_c10)
| sk_c4 = inverse(sk_c10) ),
inference(superposition,[],[f417,f446]) ).
fof(f446,plain,
( sk_c10 = inverse(sk_c4)
| sk_c3 = inverse(sk_c10) ),
inference(superposition,[],[f417,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP245-1 : 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 : n018.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 : Fri May 3 20:44:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (21458)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (21461)WARNING: value z3 for option sas not known
% 0.14/0.37 % (21461)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)
% 0.14/0.37 % (21459)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (21462)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 % (21460)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (21463)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)
% 0.14/0.37 % (21465)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)
% 0.14/0.37 % (21464)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)
% 0.14/0.37 TRYING [1]
% 0.14/0.38 TRYING [2]
% 0.14/0.38 TRYING [1]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [2]
% 0.14/0.39 TRYING [3]
% 0.14/0.39 TRYING [4]
% 0.20/0.41 TRYING [5]
% 0.20/0.42 TRYING [4]
% 0.20/0.46 TRYING [6]
% 0.20/0.50 % (21465)First to succeed.
% 0.20/0.50 % (21465)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-21458"
% 0.20/0.51 % (21465)Refutation found. Thanks to Tanya!
% 0.20/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51 % (21465)------------------------------
% 0.20/0.51 % (21465)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.51 % (21465)Termination reason: Refutation
% 0.20/0.51
% 0.20/0.51 % (21465)Memory used [KB]: 1422
% 0.20/0.51 % (21465)Time elapsed: 0.137 s
% 0.20/0.51 % (21465)Instructions burned: 323 (million)
% 0.20/0.51 % (21458)Success in time 0.143 s
%------------------------------------------------------------------------------