TSTP Solution File: GRP390-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP390-1 : 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 : n026.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 12:06:27 EDT 2024
% Result : Unsatisfiable 0.21s 0.43s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 23
% Syntax : Number of formulae : 132 ( 25 unt; 0 def)
% Number of atoms : 352 ( 278 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 385 ( 165 ~; 216 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2942,plain,
$false,
inference(subsumption_resolution,[],[f2940,f2886]) ).
fof(f2886,plain,
sP0,
inference(unit_resulting_resolution,[],[f421,f2860,f1364]) ).
fof(f1364,plain,
! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != X0
| sP0 ),
inference(forward_demodulation,[],[f1330,f406]) ).
fof(f406,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f268,f266]) ).
fof(f266,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f244,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f244,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f202,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f202,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(f268,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f244,f244]) ).
fof(f1330,plain,
! [X0] :
( sk_c9 != multiply(X0,identity)
| inverse(X0) != sk_c9
| sP0 ),
inference(superposition,[],[f42,f1315]) ).
fof(f1315,plain,
identity = sk_c8,
inference(duplicate_literal_removal,[],[f1314]) ).
fof(f1314,plain,
( identity = sk_c8
| identity = sk_c8 ),
inference(forward_demodulation,[],[f1310,f330]) ).
fof(f330,plain,
identity = inverse(identity),
inference(superposition,[],[f308,f2]) ).
fof(f308,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f244,f265]) ).
fof(f265,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f244,f1]) ).
fof(f1310,plain,
( sk_c8 = inverse(identity)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1304]) ).
fof(f1304,plain,
( sk_c8 = inverse(identity)
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f783,f1283]) ).
fof(f1283,plain,
( identity = sk_c7
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1272]) ).
fof(f1272,plain,
( identity = sk_c7
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f1267,f958]) ).
fof(f958,plain,
( identity = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(superposition,[],[f405,f945]) ).
fof(f945,plain,
( sk_c8 = inverse(sk_c5)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f933]) ).
fof(f933,plain,
( identity = sk_c8
| sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c5) ),
inference(superposition,[],[f482,f25]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f482,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c8 = inverse(sk_c5) ),
inference(superposition,[],[f405,f31]) ).
fof(f31,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f405,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f268,f2]) ).
fof(f1267,plain,
( sk_c7 = multiply(sk_c5,sk_c8)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1246]) ).
fof(f1246,plain,
( identity = sk_c8
| identity = sk_c8
| sk_c7 = multiply(sk_c5,sk_c8) ),
inference(superposition,[],[f1135,f24]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c7 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f1135,plain,
( identity = multiply(sk_c2,sk_c3)
| identity = sk_c8 ),
inference(superposition,[],[f405,f1112]) ).
fof(f1112,plain,
( sk_c3 = inverse(sk_c2)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1098]) ).
fof(f1098,plain,
( identity = sk_c8
| identity = sk_c8
| sk_c3 = inverse(sk_c2) ),
inference(superposition,[],[f1056,f28]) ).
fof(f28,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f1056,plain,
( identity = multiply(sk_c4,sk_c9)
| identity = sk_c8 ),
inference(superposition,[],[f405,f1049]) ).
fof(f1049,plain,
( sk_c9 = inverse(sk_c4)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1035]) ).
fof(f1035,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c4)
| sk_c9 = inverse(sk_c4) ),
inference(superposition,[],[f483,f23]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c3)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f483,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c9 = inverse(sk_c4) ),
inference(superposition,[],[f405,f29]) ).
fof(f29,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f783,plain,
( sk_c8 = inverse(sk_c7)
| identity = sk_c8 ),
inference(superposition,[],[f421,f769]) ).
fof(f769,plain,
( inverse(sk_c8) = sk_c7
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f761]) ).
fof(f761,plain,
( identity = sk_c8
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[],[f475,f4]) ).
fof(f4,axiom,
( sk_c8 = multiply(sk_c4,sk_c9)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f475,plain,
( identity = multiply(sk_c4,sk_c9)
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[],[f405,f5]) ).
fof(f5,axiom,
( sk_c9 = inverse(sk_c4)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f42,plain,
! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X3] :
( sk_c9 != multiply(X3,sk_c8)
| sk_c9 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2860,plain,
sk_c9 = inverse(sk_c9),
inference(forward_demodulation,[],[f2807,f2630]) ).
fof(f2630,plain,
sk_c9 = sk_c6,
inference(subsumption_resolution,[],[f2629,f2545]) ).
fof(f2545,plain,
! [X0] :
( identity != inverse(X0)
| sk_c9 = sk_c6 ),
inference(subsumption_resolution,[],[f2544,f2543]) ).
fof(f2543,plain,
( sP0
| sk_c9 = sk_c6 ),
inference(trivial_inequality_removal,[],[f2538]) ).
fof(f2538,plain,
( sk_c9 != sk_c9
| sP0
| sk_c9 = sk_c6 ),
inference(superposition,[],[f2493,f1679]) ).
fof(f1679,plain,
( sk_c9 = sk_c1
| sk_c9 = sk_c6 ),
inference(superposition,[],[f1363,f406]) ).
fof(f1363,plain,
( sk_c9 = multiply(sk_c1,identity)
| sk_c9 = sk_c6 ),
inference(forward_demodulation,[],[f1362,f406]) ).
fof(f1362,plain,
( sk_c9 = multiply(sk_c6,identity)
| sk_c9 = multiply(sk_c1,identity) ),
inference(forward_demodulation,[],[f1327,f1315]) ).
fof(f1327,plain,
( sk_c9 = multiply(sk_c1,identity)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(superposition,[],[f21,f1315]) ).
fof(f21,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f2493,plain,
( sk_c9 != sk_c1
| sP0 ),
inference(trivial_inequality_removal,[],[f2486]) ).
fof(f2486,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c1
| sP0 ),
inference(superposition,[],[f1364,f2423]) ).
fof(f2423,plain,
sk_c9 = inverse(sk_c1),
inference(unit_resulting_resolution,[],[f330,f1474]) ).
fof(f1474,plain,
! [X0] :
( identity != inverse(X0)
| sk_c9 = inverse(sk_c1) ),
inference(subsumption_resolution,[],[f1465,f86]) ).
fof(f86,plain,
( sP0
| sk_c9 = inverse(sk_c1) ),
inference(subsumption_resolution,[],[f80,f14]) ).
fof(f14,axiom,
( sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f80,plain,
( sk_c9 != inverse(sk_c6)
| sP0
| sk_c9 = inverse(sk_c1) ),
inference(trivial_inequality_removal,[],[f63]) ).
fof(f63,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| sP0
| sk_c9 = inverse(sk_c1) ),
inference(superposition,[],[f42,f15]) ).
fof(f15,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f1465,plain,
! [X0] :
( ~ sP0
| identity != inverse(X0)
| sk_c9 = inverse(sk_c1) ),
inference(resolution,[],[f1429,f123]) ).
fof(f123,plain,
( sP1
| sk_c9 = inverse(sk_c1) ),
inference(subsumption_resolution,[],[f117,f14]) ).
fof(f117,plain,
( sk_c9 != inverse(sk_c6)
| sP1
| sk_c9 = inverse(sk_c1) ),
inference(trivial_inequality_removal,[],[f100]) ).
fof(f100,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| sP1
| sk_c9 = inverse(sk_c1) ),
inference(superposition,[],[f44,f15]) ).
fof(f44,plain,
! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8)
| sP1 ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1429,plain,
! [X0] :
( ~ sP1
| ~ sP0
| identity != inverse(X0) ),
inference(subsumption_resolution,[],[f1428,f330]) ).
fof(f1428,plain,
! [X0] :
( identity != inverse(identity)
| identity != inverse(X0)
| ~ sP0
| ~ sP1 ),
inference(forward_demodulation,[],[f1427,f1315]) ).
fof(f1427,plain,
! [X0] :
( identity != inverse(sk_c8)
| identity != inverse(X0)
| ~ sP0
| ~ sP1 ),
inference(forward_demodulation,[],[f1426,f1379]) ).
fof(f1379,plain,
identity = sk_c7,
inference(duplicate_literal_removal,[],[f1378]) ).
fof(f1378,plain,
( identity = sk_c7
| identity = sk_c7 ),
inference(forward_demodulation,[],[f1346,f330]) ).
fof(f1346,plain,
( sk_c7 = inverse(identity)
| identity = sk_c7 ),
inference(superposition,[],[f825,f1315]) ).
fof(f825,plain,
( inverse(sk_c8) = sk_c7
| identity = sk_c7 ),
inference(duplicate_literal_removal,[],[f815]) ).
fof(f815,plain,
( identity = sk_c7
| inverse(sk_c8) = sk_c7
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[],[f476,f6]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c5,sk_c8)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f476,plain,
( identity = multiply(sk_c5,sk_c8)
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[],[f405,f7]) ).
fof(f7,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f1426,plain,
! [X0] :
( identity != inverse(X0)
| ~ sP0
| ~ sP1
| inverse(sk_c8) != sk_c7 ),
inference(subsumption_resolution,[],[f1425,f1315]) ).
fof(f1425,plain,
! [X0] :
( identity != sk_c8
| identity != inverse(X0)
| ~ sP0
| ~ sP1
| inverse(sk_c8) != sk_c7 ),
inference(forward_demodulation,[],[f1424,f405]) ).
fof(f1424,plain,
! [X0] :
( identity != inverse(X0)
| sk_c8 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| inverse(sk_c8) != sk_c7 ),
inference(forward_demodulation,[],[f1423,f1315]) ).
fof(f1423,plain,
! [X0] :
( inverse(X0) != sk_c8
| sk_c8 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| inverse(sk_c8) != sk_c7 ),
inference(forward_demodulation,[],[f1422,f406]) ).
fof(f1422,plain,
! [X0] :
( sk_c8 != multiply(inverse(X0),identity)
| sk_c8 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| inverse(sk_c8) != sk_c7 ),
inference(forward_demodulation,[],[f1421,f1379]) ).
fof(f1421,plain,
! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| inverse(sk_c8) != sk_c7 ),
inference(subsumption_resolution,[],[f1420,f1317]) ).
fof(f1317,plain,
sP2,
inference(unit_resulting_resolution,[],[f421,f1315,f137]) ).
fof(f137,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| sP2 ),
inference(superposition,[],[f46,f2]) ).
fof(f46,plain,
! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6)
| sP2 ),
inference(cnf_transformation,[],[f46_D]) ).
fof(f46_D,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c9)
| sk_c9 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1420,plain,
! [X0] :
( sk_c8 != multiply(inverse(X0),sk_c7)
| sk_c8 != multiply(X0,inverse(X0))
| ~ sP0
| ~ sP1
| ~ sP2
| inverse(sk_c8) != sk_c7 ),
inference(resolution,[],[f1382,f49]) ).
fof(f49,plain,
! [X4] :
( ~ sP3
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4))
| ~ sP0
| ~ sP1
| ~ sP2
| inverse(sk_c8) != sk_c7 ),
inference(general_splitting,[],[f47,f48_D]) ).
fof(f48,plain,
! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7)
| sP3 ),
inference(cnf_transformation,[],[f48_D]) ).
fof(f48_D,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f47,plain,
! [X7,X4] :
( sk_c8 != inverse(X7)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X4,inverse(X4))
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f45,f46_D]) ).
fof(f45,plain,
! [X6,X7,X4] :
( sk_c9 != inverse(X6)
| sk_c8 != inverse(X7)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X4,inverse(X4))
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f43,plain,
! [X8,X6,X7,X4] :
( sk_c9 != inverse(X8)
| sk_c9 != inverse(X6)
| sk_c8 != inverse(X7)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X8,sk_c8)
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X4,inverse(X4))
| ~ sP0 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f41,plain,
! [X3,X8,X6,X7,X4] :
( sk_c9 != inverse(X3)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X6)
| sk_c8 != inverse(X7)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X8,sk_c8)
| sk_c8 != multiply(inverse(X4),sk_c7)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X4,inverse(X4)) ),
inference(equality_resolution,[],[f40]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c9 != inverse(X3)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X6)
| sk_c8 != inverse(X7)
| inverse(sk_c8) != sk_c7
| inverse(X4) != X5
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c8)
| sk_c9 != multiply(X8,sk_c8)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(X6,sk_c9)
| sk_c8 != multiply(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f1382,plain,
sP3,
inference(unit_resulting_resolution,[],[f421,f1379,f158]) ).
fof(f158,plain,
( sk_c8 != inverse(inverse(sk_c8))
| identity != sk_c7
| sP3 ),
inference(superposition,[],[f48,f2]) ).
fof(f2544,plain,
! [X0] :
( sk_c9 = sk_c6
| ~ sP0
| identity != inverse(X0) ),
inference(resolution,[],[f2537,f1429]) ).
fof(f2537,plain,
( sP1
| sk_c9 = sk_c6 ),
inference(trivial_inequality_removal,[],[f2532]) ).
fof(f2532,plain,
( sk_c9 != sk_c9
| sP1
| sk_c9 = sk_c6 ),
inference(superposition,[],[f2492,f1679]) ).
fof(f2492,plain,
( sk_c9 != sk_c1
| sP1 ),
inference(trivial_inequality_removal,[],[f2487]) ).
fof(f2487,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c1
| sP1 ),
inference(superposition,[],[f1365,f2423]) ).
fof(f1365,plain,
! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != X0
| sP1 ),
inference(forward_demodulation,[],[f1331,f406]) ).
fof(f1331,plain,
! [X0] :
( sk_c9 != multiply(X0,identity)
| inverse(X0) != sk_c9
| sP1 ),
inference(superposition,[],[f44,f1315]) ).
fof(f2629,plain,
( identity = inverse(sk_c8)
| sk_c9 = sk_c6 ),
inference(forward_demodulation,[],[f2626,f1379]) ).
fof(f2626,plain,
( sk_c9 = sk_c6
| inverse(sk_c8) = sk_c7 ),
inference(duplicate_literal_removal,[],[f2586]) ).
fof(f2586,plain,
( sk_c9 = sk_c6
| sk_c9 = sk_c6
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[],[f2470,f444]) ).
fof(f444,plain,
( sk_c6 = inverse(sk_c9)
| inverse(sk_c8) = sk_c7 ),
inference(superposition,[],[f421,f8]) ).
fof(f8,axiom,
( sk_c9 = inverse(sk_c6)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f2470,plain,
( sk_c9 = inverse(sk_c9)
| sk_c9 = sk_c6 ),
inference(superposition,[],[f2423,f1679]) ).
fof(f2807,plain,
sk_c9 = inverse(sk_c6),
inference(unit_resulting_resolution,[],[f330,f1485]) ).
fof(f1485,plain,
! [X0] :
( identity != inverse(X0)
| sk_c9 = inverse(sk_c6) ),
inference(subsumption_resolution,[],[f1470,f91]) ).
fof(f91,plain,
( sP0
| sk_c9 = inverse(sk_c6) ),
inference(subsumption_resolution,[],[f75,f86]) ).
fof(f75,plain,
( sk_c9 != inverse(sk_c1)
| sP0
| sk_c9 = inverse(sk_c6) ),
inference(trivial_inequality_removal,[],[f68]) ).
fof(f68,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| sP0
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f42,f20]) ).
fof(f20,axiom,
( sk_c9 = multiply(sk_c1,sk_c8)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f1470,plain,
! [X0] :
( ~ sP0
| identity != inverse(X0)
| sk_c9 = inverse(sk_c6) ),
inference(resolution,[],[f1429,f128]) ).
fof(f128,plain,
( sP1
| sk_c9 = inverse(sk_c6) ),
inference(subsumption_resolution,[],[f112,f123]) ).
fof(f112,plain,
( sk_c9 != inverse(sk_c1)
| sP1
| sk_c9 = inverse(sk_c6) ),
inference(trivial_inequality_removal,[],[f105]) ).
fof(f105,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c1)
| sP1
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f44,f20]) ).
fof(f421,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f406,f266]) ).
fof(f2940,plain,
~ sP0,
inference(unit_resulting_resolution,[],[f330,f2885,f1429]) ).
fof(f2885,plain,
sP1,
inference(unit_resulting_resolution,[],[f421,f2860,f1365]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP390-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n026.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 : Tue Apr 30 04:51:19 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (24337)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.37 % (24340)WARNING: value z3 for option sas not known
% 0.21/0.37 % (24338)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 % (24341)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 % (24340)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)
% 0.21/0.37 % (24339)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (24342)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)
% 0.21/0.37 % (24343)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)
% 0.21/0.37 % (24344)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)
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [2]
% 0.21/0.38 TRYING [1]
% 0.21/0.38 TRYING [3]
% 0.21/0.38 TRYING [2]
% 0.21/0.39 TRYING [4]
% 0.21/0.39 TRYING [3]
% 0.21/0.41 TRYING [5]
% 0.21/0.41 TRYING [4]
% 0.21/0.43 % (24344)First to succeed.
% 0.21/0.43 % (24344)Refutation found. Thanks to Tanya!
% 0.21/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43 % (24344)------------------------------
% 0.21/0.43 % (24344)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.43 % (24344)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43 % (24344)Memory used [KB]: 1207
% 0.21/0.43 % (24344)Time elapsed: 0.058 s
% 0.21/0.43 % (24344)Instructions burned: 118 (million)
% 0.21/0.43 % (24344)------------------------------
% 0.21/0.43 % (24344)------------------------------
% 0.21/0.43 % (24337)Success in time 0.075 s
%------------------------------------------------------------------------------