TSTP Solution File: GRP353-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP353-1 : 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 : n013.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 12:03:22 EDT 2024
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 13
% Syntax : Number of formulae : 102 ( 26 unt; 0 def)
% Number of atoms : 282 ( 261 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 343 ( 163 ~; 178 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1946,plain,
$false,
inference(subsumption_resolution,[],[f1932,f1915]) ).
fof(f1915,plain,
! [X0] : identity != multiply(inverse(X0),sk_c5),
inference(subsumption_resolution,[],[f1914,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f1914,plain,
! [X0] :
( sk_c5 != multiply(identity,sk_c5)
| identity != multiply(inverse(X0),sk_c5) ),
inference(forward_demodulation,[],[f1913,f539]) ).
fof(f539,plain,
identity = sk_c6,
inference(duplicate_literal_removal,[],[f534]) ).
fof(f534,plain,
( identity = sk_c6
| identity = sk_c6
| identity = sk_c6 ),
inference(superposition,[],[f475,f389]) ).
fof(f389,plain,
( identity = multiply(sk_c3,sk_c4)
| identity = sk_c6 ),
inference(superposition,[],[f203,f382]) ).
fof(f382,plain,
( sk_c4 = inverse(sk_c3)
| identity = sk_c6 ),
inference(duplicate_literal_removal,[],[f370]) ).
fof(f370,plain,
( identity = sk_c6
| sk_c4 = inverse(sk_c3)
| sk_c4 = inverse(sk_c3) ),
inference(superposition,[],[f255,f14]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f255,plain,
( identity = multiply(sk_c1,sk_c7)
| sk_c4 = inverse(sk_c3) ),
inference(superposition,[],[f203,f20]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f203,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f118,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f118,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f108,f108]) ).
fof(f108,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f80,f1]) ).
fof(f80,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(f475,plain,
( sk_c6 = multiply(sk_c3,sk_c4)
| identity = sk_c6 ),
inference(duplicate_literal_removal,[],[f455]) ).
fof(f455,plain,
( identity = sk_c6
| identity = sk_c6
| sk_c6 = multiply(sk_c3,sk_c4) ),
inference(superposition,[],[f431,f13]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f431,plain,
( identity = multiply(sk_c1,sk_c7)
| identity = sk_c6 ),
inference(superposition,[],[f203,f422]) ).
fof(f422,plain,
( sk_c7 = inverse(sk_c1)
| identity = sk_c6 ),
inference(duplicate_literal_removal,[],[f413]) ).
fof(f413,plain,
( identity = sk_c6
| identity = sk_c6
| sk_c7 = inverse(sk_c1) ),
inference(superposition,[],[f389,f19]) ).
fof(f19,axiom,
( sk_c6 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f1913,plain,
! [X0] :
( sk_c5 != multiply(sk_c6,sk_c5)
| identity != multiply(inverse(X0),sk_c5) ),
inference(forward_demodulation,[],[f1912,f558]) ).
fof(f558,plain,
sk_c5 = sk_c7,
inference(duplicate_literal_removal,[],[f557]) ).
fof(f557,plain,
( sk_c5 = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f556,f1]) ).
fof(f556,plain,
( sk_c7 = multiply(identity,sk_c5)
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f555,f539]) ).
fof(f555,plain,
( sk_c5 = sk_c7
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(forward_demodulation,[],[f542,f1]) ).
fof(f542,plain,
( sk_c5 = multiply(identity,sk_c7)
| multiply(sk_c6,sk_c5) = sk_c7 ),
inference(superposition,[],[f4,f539]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c6,sk_c5) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f1912,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1911,f1]) ).
fof(f1911,plain,
! [X0] :
( sk_c5 != multiply(identity,sk_c5)
| identity != multiply(inverse(X0),sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1910,f539]) ).
fof(f1910,plain,
! [X0] :
( sk_c5 != multiply(sk_c6,sk_c5)
| identity != multiply(inverse(X0),sk_c5)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1909,f558]) ).
fof(f1909,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c5)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1908,f539]) ).
fof(f1908,plain,
! [X0] :
( identity != sk_c6
| identity != multiply(inverse(X0),sk_c5)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1907,f203]) ).
fof(f1907,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c5)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1906,f539]) ).
fof(f1906,plain,
! [X0] :
( sk_c6 != multiply(inverse(X0),sk_c5)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1905,f558]) ).
fof(f1905,plain,
! [X0] :
( sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1904,f539]) ).
fof(f1904,plain,
! [X0] :
( identity != sk_c6
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1903,f1845]) ).
fof(f1845,plain,
identity = multiply(sk_c5,sk_c5),
inference(duplicate_literal_removal,[],[f1844]) ).
fof(f1844,plain,
( identity = multiply(sk_c5,sk_c5)
| identity = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[],[f1843,f539]) ).
fof(f1843,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| identity = multiply(sk_c5,sk_c5) ),
inference(forward_demodulation,[],[f1842,f558]) ).
fof(f1842,plain,
( identity = multiply(sk_c5,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(forward_demodulation,[],[f1841,f539]) ).
fof(f1841,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(forward_demodulation,[],[f1831,f558]) ).
fof(f1831,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
inference(superposition,[],[f1614,f24]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f1614,plain,
! [X0] : multiply(sk_c5,multiply(sk_c2,X0)) = X0,
inference(superposition,[],[f108,f1574]) ).
fof(f1574,plain,
sk_c5 = inverse(sk_c2),
inference(unit_resulting_resolution,[],[f2,f1168]) ).
fof(f1168,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2) ),
inference(subsumption_resolution,[],[f1167,f1]) ).
fof(f1167,plain,
! [X0] :
( sk_c5 != multiply(identity,sk_c5)
| identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f1166,f539]) ).
fof(f1166,plain,
! [X0] :
( sk_c5 != multiply(sk_c6,sk_c5)
| identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f1165,f558]) ).
fof(f1165,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1164,f1]) ).
fof(f1164,plain,
! [X0] :
( sk_c5 != multiply(identity,sk_c5)
| identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1163,f539]) ).
fof(f1163,plain,
! [X0] :
( sk_c5 != multiply(sk_c6,sk_c5)
| identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2)
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1162,f558]) ).
fof(f1162,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1161,f539]) ).
fof(f1161,plain,
! [X0] :
( identity != sk_c6
| identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2)
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1160,f203]) ).
fof(f1160,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1159,f539]) ).
fof(f1159,plain,
! [X0] :
( sk_c6 != multiply(inverse(X0),sk_c5)
| sk_c5 = inverse(sk_c2)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1158,f558]) ).
fof(f1158,plain,
! [X0] :
( sk_c5 = inverse(sk_c2)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1157,f629]) ).
fof(f629,plain,
( identity = multiply(sk_c5,sk_c5)
| sk_c5 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f628,f558]) ).
fof(f628,plain,
( identity = multiply(sk_c5,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f586,f539]) ).
fof(f586,plain,
( sk_c6 = multiply(sk_c5,sk_c5)
| sk_c7 = inverse(sk_c2) ),
inference(superposition,[],[f23,f558]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f1157,plain,
! [X0] :
( identity != multiply(sk_c5,sk_c5)
| sk_c5 = inverse(sk_c2)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1156,f539]) ).
fof(f1156,plain,
! [X0] :
( sk_c6 != multiply(sk_c5,sk_c5)
| sk_c5 = inverse(sk_c2)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1155,f558]) ).
fof(f1155,plain,
! [X0] :
( sk_c5 = inverse(sk_c2)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1154,f541]) ).
fof(f541,plain,
sP0,
inference(unit_resulting_resolution,[],[f217,f539,f48]) ).
fof(f48,plain,
( sk_c7 != inverse(inverse(sk_c7))
| identity != sk_c6
| sP0 ),
inference(superposition,[],[f30,f2]) ).
fof(f30,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f217,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f204,f116]) ).
fof(f116,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f108,f2]) ).
fof(f204,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f118,f116]) ).
fof(f1154,plain,
! [X0] :
( sk_c5 = inverse(sk_c2)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| ~ sP0
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(resolution,[],[f1148,f33]) ).
fof(f33,plain,
! [X5] :
( ~ sP1
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| multiply(sk_c6,sk_c5) != sk_c7
| ~ sP0
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f32,plain,
! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4)
| sP1 ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X4,X5] :
( sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != multiply(X4,sk_c6)
| multiply(sk_c6,sk_c5) != sk_c7
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f29,plain,
! [X3,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(inverse(X5),sk_c7)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X5,inverse(X5))
| sk_c7 != multiply(X4,sk_c6)
| multiply(sk_c6,sk_c5) != sk_c7 ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X4)
| inverse(X5) != X6
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(X6,sk_c7)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != multiply(X5,X6)
| sk_c7 != multiply(X4,sk_c6)
| multiply(sk_c6,sk_c5) != sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f1148,plain,
( sP1
| sk_c5 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f1147,f558]) ).
fof(f1147,plain,
( sP1
| sk_c7 = inverse(sk_c2) ),
inference(subsumption_resolution,[],[f1146,f217]) ).
fof(f1146,plain,
( sk_c7 != inverse(inverse(sk_c7))
| sP1
| sk_c7 = inverse(sk_c2) ),
inference(subsumption_resolution,[],[f1135,f558]) ).
fof(f1135,plain,
( sk_c5 != sk_c7
| sk_c7 != inverse(inverse(sk_c7))
| sP1
| sk_c7 = inverse(sk_c2) ),
inference(superposition,[],[f32,f126]) ).
fof(f126,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| sk_c7 = inverse(sk_c2) ),
inference(superposition,[],[f108,f23]) ).
fof(f1903,plain,
! [X0] :
( sk_c6 != multiply(sk_c5,sk_c5)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(forward_demodulation,[],[f1902,f558]) ).
fof(f1902,plain,
! [X0] :
( sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(subsumption_resolution,[],[f1901,f541]) ).
fof(f1901,plain,
! [X0] :
( sk_c6 != multiply(sk_c7,sk_c5)
| sk_c6 != multiply(inverse(X0),sk_c7)
| sk_c6 != multiply(X0,inverse(X0))
| multiply(sk_c6,sk_c5) != sk_c7
| ~ sP0
| sk_c5 != multiply(sk_c6,sk_c7) ),
inference(resolution,[],[f1864,f33]) ).
fof(f1864,plain,
sP1,
inference(unit_resulting_resolution,[],[f1574,f1856,f572]) ).
fof(f572,plain,
! [X0] :
( inverse(X0) != sk_c5
| sk_c5 != X0
| sP1 ),
inference(forward_demodulation,[],[f571,f558]) ).
fof(f571,plain,
! [X0] :
( sk_c5 != X0
| inverse(X0) != sk_c7
| sP1 ),
inference(forward_demodulation,[],[f570,f558]) ).
fof(f570,plain,
! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c7
| sP1 ),
inference(forward_demodulation,[],[f549,f204]) ).
fof(f549,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c7
| sP1 ),
inference(superposition,[],[f32,f539]) ).
fof(f1856,plain,
sk_c5 = sk_c2,
inference(superposition,[],[f1854,f204]) ).
fof(f1854,plain,
sk_c5 = multiply(sk_c2,identity),
inference(forward_demodulation,[],[f1852,f1621]) ).
fof(f1621,plain,
sk_c2 = inverse(sk_c5),
inference(superposition,[],[f217,f1574]) ).
fof(f1852,plain,
sk_c5 = multiply(inverse(sk_c5),identity),
inference(superposition,[],[f108,f1845]) ).
fof(f1932,plain,
identity = multiply(inverse(inverse(sk_c5)),sk_c5),
inference(superposition,[],[f155,f1881]) ).
fof(f1881,plain,
sk_c5 = inverse(sk_c5),
inference(superposition,[],[f1574,f1856]) ).
fof(f155,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f108,f116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP353-1 : TPTP v8.1.2. Released v2.5.0.
% 0.04/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n013.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 04:20:19 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (6660)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (6663)WARNING: value z3 for option sas not known
% 0.22/0.38 % (6664)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (6665)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)
% 0.22/0.38 % (6662)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.38 % (6663)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)
% 0.22/0.38 % (6666)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)
% 0.22/0.38 % (6661)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (6667)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)
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [2]
% 0.22/0.38 TRYING [1]
% 0.22/0.38 TRYING [3]
% 0.22/0.39 TRYING [2]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [4]
% 0.22/0.41 TRYING [5]
% 0.22/0.41 TRYING [4]
% 0.22/0.42 % (6667)First to succeed.
% 0.22/0.42 % (6667)Refutation found. Thanks to Tanya!
% 0.22/0.42 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.42 % (6667)------------------------------
% 0.22/0.42 % (6667)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.42 % (6667)Termination reason: Refutation
% 0.22/0.42
% 0.22/0.42 % (6667)Memory used [KB]: 1056
% 0.22/0.42 % (6667)Time elapsed: 0.042 s
% 0.22/0.42 % (6667)Instructions burned: 82 (million)
% 0.22/0.42 % (6667)------------------------------
% 0.22/0.42 % (6667)------------------------------
% 0.22/0.42 % (6660)Success in time 0.048 s
%------------------------------------------------------------------------------