TSTP Solution File: GRP247-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP247-1 : 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 : n021.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 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 50
% Number of leaves : 23
% Syntax : Number of formulae : 129 ( 32 unt; 0 def)
% Number of atoms : 318 ( 262 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 334 ( 145 ~; 184 |; 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 : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 67 ( 67 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6323,plain,
$false,
inference(subsumption_resolution,[],[f6322,f5369]) ).
fof(f5369,plain,
sk_c9 = inverse(sk_c4),
inference(subsumption_resolution,[],[f5364,f3832]) ).
fof(f3832,plain,
( sk_c9 != sk_c3
| sk_c9 = inverse(sk_c4) ),
inference(trivial_inequality_removal,[],[f3817]) ).
fof(f3817,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c3
| sk_c9 = inverse(sk_c4) ),
inference(superposition,[],[f3729,f29]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f3729,plain,
! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != X0 ),
inference(subsumption_resolution,[],[f3728,f1403]) ).
fof(f1403,plain,
! [X0] :
( inverse(X0) != sk_c9
| sk_c9 != X0
| sP1 ),
inference(forward_demodulation,[],[f1360,f423]) ).
fof(f423,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f291,f289]) ).
fof(f289,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f267,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f267,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f224,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f224,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(f291,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f267,f267]) ).
fof(f1360,plain,
! [X0] :
( sk_c9 != multiply(X0,identity)
| inverse(X0) != sk_c9
| sP1 ),
inference(superposition,[],[f43,f1341]) ).
fof(f1341,plain,
identity = sk_c8,
inference(duplicate_literal_removal,[],[f1328]) ).
fof(f1328,plain,
( identity = sk_c8
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f1024,f916]) ).
fof(f916,plain,
( identity = multiply(sk_c1,sk_c9)
| identity = sk_c8 ),
inference(superposition,[],[f422,f909]) ).
fof(f909,plain,
( sk_c9 = inverse(sk_c1)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f899]) ).
fof(f899,plain,
( identity = sk_c8
| sk_c9 = inverse(sk_c1)
| sk_c9 = inverse(sk_c1) ),
inference(superposition,[],[f536,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(f536,plain,
( identity = multiply(sk_c4,sk_c9)
| sk_c9 = inverse(sk_c1) ),
inference(superposition,[],[f422,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(f422,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f291,f2]) ).
fof(f1024,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f1012]) ).
fof(f1012,plain,
( multiply(sk_c1,sk_c9) = sk_c8
| multiply(sk_c1,sk_c9) = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f4,f1010]) ).
fof(f1010,plain,
( sk_c1 = sk_c4
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f993]) ).
fof(f993,plain,
( sk_c1 = sk_c4
| identity = sk_c8
| identity = sk_c8 ),
inference(superposition,[],[f966,f918]) ).
fof(f918,plain,
( sk_c1 = inverse(sk_c9)
| identity = sk_c8 ),
inference(superposition,[],[f439,f909]) ).
fof(f439,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f423,f289]) ).
fof(f966,plain,
( sk_c4 = inverse(sk_c9)
| identity = sk_c8 ),
inference(superposition,[],[f439,f955]) ).
fof(f955,plain,
( sk_c9 = inverse(sk_c4)
| identity = sk_c8 ),
inference(duplicate_literal_removal,[],[f944]) ).
fof(f944,plain,
( identity = sk_c8
| identity = sk_c8
| sk_c9 = inverse(sk_c4) ),
inference(superposition,[],[f916,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(f43,plain,
! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8)
| sP1 ),
inference(cnf_transformation,[],[f43_D]) ).
fof(f43_D,plain,
( ! [X8] :
( sk_c9 != multiply(X8,sk_c8)
| sk_c9 != inverse(X8) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f3728,plain,
! [X0] :
( sk_c9 != X0
| ~ sP1
| inverse(X0) != sk_c9 ),
inference(forward_demodulation,[],[f3727,f423]) ).
fof(f3727,plain,
! [X0] :
( sk_c9 != multiply(X0,identity)
| ~ sP1
| inverse(X0) != sk_c9 ),
inference(forward_demodulation,[],[f3726,f3677]) ).
fof(f3677,plain,
identity = sk_c7,
inference(subsumption_resolution,[],[f3676,f1584]) ).
fof(f1584,plain,
( identity != sk_c5
| identity = sk_c7 ),
inference(equality_factoring,[],[f1550]) ).
fof(f1550,plain,
( sk_c5 = sk_c7
| identity = sk_c7 ),
inference(duplicate_literal_removal,[],[f1549]) ).
fof(f1549,plain,
( sk_c5 = sk_c7
| identity = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1548,f423]) ).
fof(f1548,plain,
( sk_c7 = multiply(sk_c5,identity)
| identity = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1547,f1341]) ).
fof(f1547,plain,
( identity = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1546,f1341]) ).
fof(f1546,plain,
( sk_c8 = sk_c7
| multiply(sk_c5,sk_c8) = sk_c7
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1520,f1]) ).
fof(f1520,plain,
( sk_c7 = multiply(identity,sk_c8)
| multiply(sk_c5,sk_c8) = sk_c7
| sk_c5 = sk_c7 ),
inference(superposition,[],[f18,f1512]) ).
fof(f1512,plain,
( identity = sk_c2
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1504,f2]) ).
fof(f1504,plain,
( sk_c2 = multiply(inverse(identity),identity)
| sk_c5 = sk_c7 ),
inference(superposition,[],[f289,f1400]) ).
fof(f1400,plain,
( identity = inverse(sk_c2)
| sk_c5 = sk_c7 ),
inference(forward_demodulation,[],[f1399,f1341]) ).
fof(f1399,plain,
( sk_c5 = sk_c7
| sk_c8 = inverse(sk_c2) ),
inference(forward_demodulation,[],[f1356,f423]) ).
fof(f1356,plain,
( sk_c7 = multiply(sk_c5,identity)
| sk_c8 = inverse(sk_c2) ),
inference(superposition,[],[f24,f1341]) ).
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(f3676,plain,
( identity = sk_c5
| identity = sk_c7 ),
inference(forward_demodulation,[],[f3660,f2]) ).
fof(f3660,plain,
( sk_c5 = multiply(inverse(identity),identity)
| identity = sk_c7 ),
inference(superposition,[],[f289,f3629]) ).
fof(f3629,plain,
( identity = inverse(sk_c5)
| identity = sk_c7 ),
inference(forward_demodulation,[],[f3615,f1341]) ).
fof(f3615,plain,
( identity = sk_c7
| sk_c8 = inverse(sk_c5) ),
inference(duplicate_literal_removal,[],[f3598]) ).
fof(f3598,plain,
( identity = sk_c7
| sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c5) ),
inference(superposition,[],[f540,f19]) ).
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(f540,plain,
( identity = multiply(sk_c2,sk_c8)
| sk_c8 = inverse(sk_c5) ),
inference(superposition,[],[f422,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(f3726,plain,
! [X0] :
( sk_c9 != multiply(X0,sk_c7)
| ~ sP1
| inverse(X0) != sk_c9 ),
inference(subsumption_resolution,[],[f3725,f3685]) ).
fof(f3685,plain,
sP3,
inference(unit_resulting_resolution,[],[f351,f3677,f1405]) ).
fof(f1405,plain,
! [X0] :
( identity != inverse(X0)
| sk_c7 != X0
| sP3 ),
inference(forward_demodulation,[],[f1404,f1341]) ).
fof(f1404,plain,
! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8
| sP3 ),
inference(forward_demodulation,[],[f1361,f423]) ).
fof(f1361,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8
| sP3 ),
inference(superposition,[],[f47,f1341]) ).
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(f351,plain,
identity = inverse(identity),
inference(superposition,[],[f331,f2]) ).
fof(f331,plain,
! [X0] : multiply(inverse(inverse(identity)),X0) = X0,
inference(superposition,[],[f267,f288]) ).
fof(f288,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f267,f1]) ).
fof(f3725,plain,
! [X0] :
( sk_c9 != multiply(X0,sk_c7)
| ~ sP1
| ~ sP3
| inverse(X0) != sk_c9 ),
inference(subsumption_resolution,[],[f3724,f1345]) ).
fof(f1345,plain,
sP2,
inference(unit_resulting_resolution,[],[f1341,f490]) ).
fof(f490,plain,
( identity != sk_c8
| sP2 ),
inference(trivial_inequality_removal,[],[f478]) ).
fof(f478,plain,
( sk_c9 != sk_c9
| identity != sk_c8
| sP2 ),
inference(superposition,[],[f117,f439]) ).
fof(f117,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| sP2 ),
inference(superposition,[],[f45,f2]) ).
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(f3724,plain,
! [X0] :
( sk_c9 != multiply(X0,sk_c7)
| ~ sP1
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c9 ),
inference(subsumption_resolution,[],[f3723,f1344]) ).
fof(f1344,plain,
sP0,
inference(unit_resulting_resolution,[],[f1341,f489]) ).
fof(f489,plain,
( identity != sk_c8
| sP0 ),
inference(trivial_inequality_removal,[],[f479]) ).
fof(f479,plain,
( sk_c9 != sk_c9
| identity != sk_c8
| sP0 ),
inference(superposition,[],[f68,f439]) ).
fof(f68,plain,
( sk_c9 != inverse(inverse(sk_c9))
| identity != sk_c8
| sP0 ),
inference(superposition,[],[f41,f2]) ).
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(f3723,plain,
! [X0] :
( sk_c9 != multiply(X0,sk_c7)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| inverse(X0) != sk_c9 ),
inference(resolution,[],[f3684,f50]) ).
fof(f50,plain,
! [X5] :
( ~ sP4
| sk_c9 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3
| sk_c9 != 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_c9 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c9 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1
| ~ sP2
| ~ sP3 ),
inference(general_splitting,[],[f46,f47_D]) ).
fof(f46,plain,
! [X7,X4,X5] :
( sk_c8 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c9 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f44,f45_D]) ).
fof(f44,plain,
! [X6,X7,X4,X5] :
( sk_c8 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X6)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != multiply(X5,sk_c7)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f42,f43_D]) ).
fof(f42,plain,
! [X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X6)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != multiply(X5,sk_c7)
| sk_c9 != multiply(X8,sk_c8)
| ~ sP0 ),
inference(general_splitting,[],[f40,f41_D]) ).
fof(f40,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X4)
| sk_c8 != inverse(X7)
| sk_c9 != inverse(X8)
| sk_c9 != inverse(X5)
| sk_c9 != inverse(X6)
| sk_c9 != inverse(X3)
| sk_c7 != multiply(X4,sk_c8)
| sk_c7 != multiply(X7,sk_c8)
| sk_c8 != multiply(X3,sk_c9)
| sk_c8 != multiply(X6,sk_c9)
| sk_c9 != multiply(X5,sk_c7)
| sk_c9 != multiply(X8,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f3684,plain,
sP4,
inference(unit_resulting_resolution,[],[f351,f3677,f1407]) ).
fof(f1407,plain,
! [X0] :
( identity != inverse(X0)
| sk_c7 != X0
| sP4 ),
inference(forward_demodulation,[],[f1406,f1341]) ).
fof(f1406,plain,
! [X0] :
( sk_c7 != X0
| inverse(X0) != sk_c8
| sP4 ),
inference(forward_demodulation,[],[f1362,f423]) ).
fof(f1362,plain,
! [X0] :
( sk_c7 != multiply(X0,identity)
| inverse(X0) != sk_c8
| sP4 ),
inference(superposition,[],[f49,f1341]) ).
fof(f5364,plain,
( sk_c9 = sk_c3
| sk_c9 = inverse(sk_c4) ),
inference(superposition,[],[f3689,f423]) ).
fof(f3689,plain,
( sk_c9 = multiply(sk_c3,identity)
| sk_c9 = inverse(sk_c4) ),
inference(superposition,[],[f35,f3677]) ).
fof(f35,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f6322,plain,
sk_c9 != inverse(sk_c4),
inference(forward_demodulation,[],[f6313,f423]) ).
fof(f6313,plain,
sk_c9 != inverse(multiply(sk_c4,identity)),
inference(unit_resulting_resolution,[],[f6308,f3729]) ).
fof(f6308,plain,
sk_c9 = multiply(sk_c4,identity),
inference(superposition,[],[f5379,f6301]) ).
fof(f6301,plain,
identity = multiply(sk_c9,sk_c9),
inference(subsumption_resolution,[],[f6300,f3759]) ).
fof(f3759,plain,
sk_c9 != inverse(sk_c9),
inference(unit_resulting_resolution,[],[f439,f3729]) ).
fof(f6300,plain,
( sk_c9 = inverse(sk_c9)
| identity = multiply(sk_c9,sk_c9) ),
inference(forward_demodulation,[],[f6299,f6037]) ).
fof(f6037,plain,
sk_c9 = sk_c3,
inference(unit_resulting_resolution,[],[f5943,f4056]) ).
fof(f4056,plain,
( sk_c9 = sk_c3
| sk_c9 = sk_c6 ),
inference(superposition,[],[f3721,f423]) ).
fof(f3721,plain,
( sk_c9 = multiply(sk_c3,identity)
| sk_c9 = sk_c6 ),
inference(forward_demodulation,[],[f3720,f423]) ).
fof(f3720,plain,
( sk_c9 = multiply(sk_c6,identity)
| sk_c9 = multiply(sk_c3,identity) ),
inference(forward_demodulation,[],[f3693,f1341]) ).
fof(f3693,plain,
( sk_c9 = multiply(sk_c3,identity)
| sk_c9 = multiply(sk_c6,sk_c8) ),
inference(superposition,[],[f39,f3677]) ).
fof(f39,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = multiply(sk_c6,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f5943,plain,
sk_c9 != sk_c6,
inference(unit_resulting_resolution,[],[f5941,f3729]) ).
fof(f5941,plain,
sk_c9 = inverse(sk_c6),
inference(subsumption_resolution,[],[f5934,f3830]) ).
fof(f3830,plain,
( sk_c9 != sk_c3
| sk_c9 = inverse(sk_c6) ),
inference(trivial_inequality_removal,[],[f3819]) ).
fof(f3819,plain,
( sk_c9 != sk_c9
| sk_c9 != sk_c3
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f3729,f32]) ).
fof(f32,axiom,
( sk_c9 = inverse(sk_c3)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f5934,plain,
( sk_c9 = sk_c3
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f3692,f423]) ).
fof(f3692,plain,
( sk_c9 = multiply(sk_c3,identity)
| sk_c9 = inverse(sk_c6) ),
inference(superposition,[],[f38,f3677]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c3,sk_c7)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f6299,plain,
( identity = multiply(sk_c9,sk_c9)
| sk_c9 = inverse(sk_c3) ),
inference(forward_demodulation,[],[f6289,f1341]) ).
fof(f6289,plain,
( sk_c8 = multiply(sk_c9,sk_c9)
| sk_c9 = inverse(sk_c3) ),
inference(superposition,[],[f5952,f33]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c6,sk_c8)
| sk_c9 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f5952,plain,
! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0,
inference(superposition,[],[f267,f5941]) ).
fof(f5379,plain,
! [X0] : multiply(sk_c4,multiply(sk_c9,X0)) = X0,
inference(superposition,[],[f424,f5369]) ).
fof(f424,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(superposition,[],[f291,f267]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP247-1 : TPTP v8.1.2. Released v2.5.0.
% 0.13/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:36:55 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (19508)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.35 % (19512)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.36 % (19510)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.36 % (19509)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [2]
% 0.20/0.36 % (19514)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)
% 0.20/0.36 % (19511)WARNING: value z3 for option sas not known
% 0.20/0.36 TRYING [3]
% 0.20/0.36 % (19511)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)
% 0.20/0.36 % (19513)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)
% 0.20/0.36 % (19515)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)
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [2]
% 0.20/0.37 TRYING [4]
% 0.20/0.37 TRYING [3]
% 0.20/0.38 TRYING [5]
% 0.20/0.39 TRYING [4]
% 0.20/0.41 TRYING [6]
% 0.20/0.47 % (19515)First to succeed.
% 0.20/0.48 % (19515)Refutation found. Thanks to Tanya!
% 0.20/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.48 % (19515)------------------------------
% 0.20/0.48 % (19515)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.48 % (19515)Termination reason: Refutation
% 0.20/0.48
% 0.20/0.48 % (19515)Memory used [KB]: 1286
% 0.20/0.48 % (19515)Time elapsed: 0.115 s
% 0.20/0.48 % (19515)Instructions burned: 252 (million)
% 0.20/0.48 % (19515)------------------------------
% 0.20/0.48 % (19515)------------------------------
% 0.20/0.48 % (19508)Success in time 0.132 s
%------------------------------------------------------------------------------