TSTP Solution File: GRP336-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP336-1 : 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 : Tue Apr 30 12:01:36 EDT 2024
% Result : Unsatisfiable 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 19
% Syntax : Number of formulae : 113 ( 20 unt; 0 def)
% Number of atoms : 317 ( 278 equ)
% Maximal formula atoms : 14 ( 2 avg)
% Number of connectives : 370 ( 166 ~; 200 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 68 ( 68 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9009,plain,
$false,
inference(unit_resulting_resolution,[],[f8931,f2,f8884]) ).
fof(f8884,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c10)
| sk_c10 != sk_c8 ),
inference(subsumption_resolution,[],[f8883,f8836]) ).
fof(f8836,plain,
identity = multiply(sk_c10,sk_c10),
inference(superposition,[],[f2,f8774]) ).
fof(f8774,plain,
sk_c10 = inverse(sk_c10),
inference(subsumption_resolution,[],[f8761,f2343]) ).
fof(f2343,plain,
( sk_c10 = inverse(sk_c10)
| sk_c10 = sk_c4 ),
inference(subsumption_resolution,[],[f2342,f1997]) ).
fof(f1997,plain,
( sk_c10 = inverse(sk_c10)
| sk_c10 = sk_c5 ),
inference(duplicate_literal_removal,[],[f1980]) ).
fof(f1980,plain,
( sk_c10 = inverse(sk_c10)
| sk_c10 = sk_c5
| sk_c10 = sk_c5 ),
inference(superposition,[],[f1975,f1298]) ).
fof(f1298,plain,
( sk_c10 = sk_c1
| sk_c10 = sk_c5 ),
inference(superposition,[],[f1071,f380]) ).
fof(f380,plain,
! [X0] : multiply(X0,identity) = X0,
inference(superposition,[],[f246,f244]) ).
fof(f244,plain,
! [X0] : multiply(inverse(inverse(X0)),identity) = X0,
inference(superposition,[],[f228,f2]) ).
fof(f228,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f175,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f175,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(f246,plain,
! [X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(X0)),X1),
inference(superposition,[],[f228,f228]) ).
fof(f1071,plain,
( sk_c10 = multiply(sk_c1,identity)
| sk_c10 = sk_c5 ),
inference(forward_demodulation,[],[f1070,f380]) ).
fof(f1070,plain,
( sk_c10 = multiply(sk_c5,identity)
| sk_c10 = multiply(sk_c1,identity) ),
inference(forward_demodulation,[],[f1045,f1032]) ).
fof(f1032,plain,
identity = sk_c9,
inference(duplicate_literal_removal,[],[f1027]) ).
fof(f1027,plain,
( identity = sk_c9
| identity = sk_c9
| identity = sk_c9 ),
inference(superposition,[],[f877,f737]) ).
fof(f737,plain,
( identity = multiply(sk_c6,sk_c7)
| identity = sk_c9 ),
inference(superposition,[],[f379,f729]) ).
fof(f729,plain,
( sk_c7 = inverse(sk_c6)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f716]) ).
fof(f716,plain,
( identity = sk_c9
| sk_c7 = inverse(sk_c6)
| sk_c7 = inverse(sk_c6) ),
inference(superposition,[],[f444,f34]) ).
fof(f34,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f444,plain,
( identity = multiply(sk_c2,sk_c3)
| sk_c7 = inverse(sk_c6) ),
inference(superposition,[],[f379,f42]) ).
fof(f42,axiom,
( sk_c3 = inverse(sk_c2)
| sk_c7 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f379,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f246,f2]) ).
fof(f877,plain,
( sk_c9 = multiply(sk_c6,sk_c7)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f854]) ).
fof(f854,plain,
( identity = sk_c9
| identity = sk_c9
| sk_c9 = multiply(sk_c6,sk_c7) ),
inference(superposition,[],[f791,f33]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c2,sk_c3)
| sk_c9 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f791,plain,
( identity = multiply(sk_c2,sk_c3)
| identity = sk_c9 ),
inference(superposition,[],[f379,f770]) ).
fof(f770,plain,
( sk_c3 = inverse(sk_c2)
| identity = sk_c9 ),
inference(duplicate_literal_removal,[],[f759]) ).
fof(f759,plain,
( identity = sk_c9
| identity = sk_c9
| sk_c3 = inverse(sk_c2) ),
inference(superposition,[],[f737,f41]) ).
fof(f41,axiom,
( sk_c9 = multiply(sk_c6,sk_c7)
| sk_c3 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f1045,plain,
( sk_c10 = multiply(sk_c1,identity)
| sk_c10 = multiply(sk_c5,sk_c9) ),
inference(superposition,[],[f24,f1032]) ).
fof(f24,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = multiply(sk_c5,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f1975,plain,
( sk_c10 = inverse(sk_c1)
| sk_c10 = sk_c5 ),
inference(superposition,[],[f1040,f380]) ).
fof(f1040,plain,
( sk_c10 = multiply(sk_c5,identity)
| sk_c10 = inverse(sk_c1) ),
inference(superposition,[],[f16,f1032]) ).
fof(f16,axiom,
( sk_c10 = multiply(sk_c5,sk_c9)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f2342,plain,
( sk_c10 != sk_c5
| sk_c10 = inverse(sk_c10)
| sk_c10 = sk_c4 ),
inference(inner_rewriting,[],[f2309]) ).
fof(f2309,plain,
( sk_c10 != sk_c5
| sk_c5 = inverse(sk_c10)
| sk_c4 = sk_c5 ),
inference(superposition,[],[f555,f2284]) ).
fof(f2284,plain,
( sk_c10 = sk_c1
| sk_c4 = sk_c5 ),
inference(duplicate_literal_removal,[],[f2255]) ).
fof(f2255,plain,
( sk_c4 = sk_c5
| sk_c10 = sk_c1
| sk_c10 = sk_c1 ),
inference(superposition,[],[f2228,f2119]) ).
fof(f2119,plain,
( sk_c4 = inverse(sk_c10)
| sk_c10 = sk_c1 ),
inference(superposition,[],[f394,f2104]) ).
fof(f2104,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = sk_c1 ),
inference(superposition,[],[f1042,f380]) ).
fof(f1042,plain,
( sk_c10 = multiply(sk_c1,identity)
| sk_c10 = inverse(sk_c4) ),
inference(superposition,[],[f21,f1032]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f394,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f380,f244]) ).
fof(f2228,plain,
( sk_c5 = inverse(sk_c10)
| sk_c10 = sk_c1 ),
inference(superposition,[],[f394,f2211]) ).
fof(f2211,plain,
( sk_c10 = inverse(sk_c5)
| sk_c10 = sk_c1 ),
inference(superposition,[],[f1044,f380]) ).
fof(f1044,plain,
( sk_c10 = multiply(sk_c1,identity)
| sk_c10 = inverse(sk_c5) ),
inference(superposition,[],[f23,f1032]) ).
fof(f23,axiom,
( sk_c10 = multiply(sk_c1,sk_c9)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f555,plain,
( sk_c5 != sk_c1
| sk_c5 = inverse(sk_c10) ),
inference(equality_factoring,[],[f478]) ).
fof(f478,plain,
( sk_c1 = inverse(sk_c10)
| sk_c5 = inverse(sk_c10) ),
inference(superposition,[],[f394,f416]) ).
fof(f416,plain,
( sk_c10 = inverse(sk_c5)
| sk_c1 = inverse(sk_c10) ),
inference(superposition,[],[f394,f15]) ).
fof(f15,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f8761,plain,
( sk_c10 != sk_c4
| sk_c10 = inverse(sk_c10) ),
inference(equality_factoring,[],[f8671]) ).
fof(f8671,plain,
( sk_c4 = inverse(sk_c10)
| sk_c10 = inverse(sk_c10) ),
inference(superposition,[],[f394,f8619]) ).
fof(f8619,plain,
( sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c10) ),
inference(superposition,[],[f3637,f380]) ).
fof(f3637,plain,
( sk_c10 = multiply(inverse(sk_c10),identity)
| sk_c10 = inverse(sk_c4) ),
inference(superposition,[],[f228,f3626]) ).
fof(f3626,plain,
( identity = multiply(sk_c10,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(forward_demodulation,[],[f3622,f1032]) ).
fof(f3622,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(duplicate_literal_removal,[],[f3608]) ).
fof(f3608,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| sk_c10 = inverse(sk_c4)
| sk_c10 = inverse(sk_c4) ),
inference(superposition,[],[f251,f13]) ).
fof(f13,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f251,plain,
( sk_c9 = multiply(inverse(sk_c1),sk_c10)
| sk_c10 = inverse(sk_c4) ),
inference(superposition,[],[f228,f21]) ).
fof(f8883,plain,
! [X0] :
( identity != multiply(sk_c10,sk_c10)
| sk_c10 != sk_c8
| identity != multiply(inverse(X0),sk_c10) ),
inference(inner_rewriting,[],[f8882]) ).
fof(f8882,plain,
! [X0] :
( identity != multiply(sk_c10,sk_c8)
| sk_c10 != sk_c8
| identity != multiply(inverse(X0),sk_c10) ),
inference(forward_demodulation,[],[f8881,f1032]) ).
fof(f8881,plain,
! [X0] :
( sk_c10 != sk_c8
| identity != multiply(inverse(X0),sk_c10)
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(forward_demodulation,[],[f8880,f1]) ).
fof(f8880,plain,
! [X0] :
( sk_c8 != multiply(identity,sk_c10)
| identity != multiply(inverse(X0),sk_c10)
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(forward_demodulation,[],[f8879,f1032]) ).
fof(f8879,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c10)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(subsumption_resolution,[],[f8878,f1032]) ).
fof(f8878,plain,
! [X0] :
( identity != sk_c9
| identity != multiply(inverse(X0),sk_c10)
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(forward_demodulation,[],[f8877,f379]) ).
fof(f8877,plain,
! [X0] :
( identity != multiply(inverse(X0),sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(forward_demodulation,[],[f8876,f1032]) ).
fof(f8876,plain,
! [X0] :
( sk_c9 != multiply(inverse(X0),sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| multiply(sk_c9,sk_c10) != sk_c8
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(subsumption_resolution,[],[f8875,f1034]) ).
fof(f1034,plain,
sP2,
inference(unit_resulting_resolution,[],[f1032,f435]) ).
fof(f435,plain,
( identity != sk_c9
| sP2 ),
inference(trivial_inequality_removal,[],[f430]) ).
fof(f430,plain,
( sk_c10 != sk_c10
| identity != sk_c9
| sP2 ),
inference(superposition,[],[f121,f394]) ).
fof(f121,plain,
( sk_c10 != inverse(inverse(sk_c10))
| identity != sk_c9
| sP2 ),
inference(superposition,[],[f59,f2]) ).
fof(f59,plain,
! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6)
| sP2 ),
inference(cnf_transformation,[],[f59_D]) ).
fof(f59_D,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f8875,plain,
! [X0] :
( sk_c9 != multiply(inverse(X0),sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP2
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(subsumption_resolution,[],[f8874,f1035]) ).
fof(f1035,plain,
sP1,
inference(unit_resulting_resolution,[],[f1032,f626]) ).
fof(f626,plain,
( identity != sk_c9
| sP1 ),
inference(duplicate_literal_removal,[],[f625]) ).
fof(f625,plain,
( identity != sk_c9
| identity != sk_c9
| sP1 ),
inference(forward_demodulation,[],[f584,f379]) ).
fof(f584,plain,
( identity != sk_c9
| sk_c9 != multiply(sk_c8,inverse(sk_c8))
| sP1 ),
inference(superposition,[],[f57,f2]) ).
fof(f57,plain,
! [X8] :
( sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X8,inverse(X8))
| sP1 ),
inference(cnf_transformation,[],[f57_D]) ).
fof(f57_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(f8874,plain,
! [X0] :
( sk_c9 != multiply(inverse(X0),sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP1
| ~ sP2
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(subsumption_resolution,[],[f8873,f8776]) ).
fof(f8776,plain,
sP0,
inference(unit_resulting_resolution,[],[f394,f8774,f1074]) ).
fof(f1074,plain,
! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != X0
| sP0 ),
inference(forward_demodulation,[],[f1050,f380]) ).
fof(f1050,plain,
! [X0] :
( sk_c10 != multiply(X0,identity)
| inverse(X0) != sk_c10
| sP0 ),
inference(superposition,[],[f55,f1032]) ).
fof(f55,plain,
! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f55_D]) ).
fof(f55_D,plain,
( ! [X3] :
( sk_c10 != multiply(X3,sk_c9)
| sk_c10 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f8873,plain,
! [X0] :
( sk_c9 != multiply(inverse(X0),sk_c10)
| sk_c9 != multiply(X0,inverse(X0))
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP0
| ~ sP1
| ~ sP2
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(resolution,[],[f8775,f62]) ).
fof(f62,plain,
! [X4] :
( ~ sP3
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c9 != multiply(X4,inverse(X4))
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP0
| ~ sP1
| ~ sP2
| sk_c9 != multiply(sk_c10,sk_c8) ),
inference(general_splitting,[],[f60,f61_D]) ).
fof(f61,plain,
! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7)
| sP3 ),
inference(cnf_transformation,[],[f61_D]) ).
fof(f61_D,plain,
( ! [X7] :
( sk_c10 != multiply(X7,sk_c9)
| sk_c10 != inverse(X7) )
<=> ~ sP3 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).
fof(f60,plain,
! [X7,X4] :
( sk_c10 != inverse(X7)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP0
| ~ sP1
| ~ sP2 ),
inference(general_splitting,[],[f58,f59_D]) ).
fof(f58,plain,
! [X6,X7,X4] :
( sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f56,f57_D]) ).
fof(f56,plain,
! [X8,X6,X7,X4] :
( sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X8,inverse(X8))
| multiply(sk_c9,sk_c10) != sk_c8
| ~ sP0 ),
inference(general_splitting,[],[f54,f55_D]) ).
fof(f54,plain,
! [X3,X8,X6,X7,X4] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(inverse(X4),sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,inverse(X4))
| sk_c9 != multiply(X8,inverse(X8))
| multiply(sk_c9,sk_c10) != sk_c8 ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X3,X8,X6,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| inverse(X4) != X5
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(inverse(X8),sk_c8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,X5)
| sk_c9 != multiply(X8,inverse(X8))
| multiply(sk_c9,sk_c10) != sk_c8 ),
inference(equality_resolution,[],[f52]) ).
fof(f52,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c10 != inverse(X3)
| sk_c10 != inverse(X7)
| sk_c10 != inverse(X6)
| inverse(X8) != X9
| inverse(X4) != X5
| sk_c9 != multiply(sk_c10,sk_c8)
| sk_c9 != multiply(X9,sk_c8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c9 != multiply(X5,sk_c10)
| sk_c10 != multiply(X7,sk_c9)
| sk_c10 != multiply(X3,sk_c9)
| sk_c9 != multiply(X4,X5)
| sk_c9 != multiply(X8,X9)
| multiply(sk_c9,sk_c10) != sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_49) ).
fof(f8775,plain,
sP3,
inference(unit_resulting_resolution,[],[f394,f8774,f1075]) ).
fof(f1075,plain,
! [X0] :
( inverse(X0) != sk_c10
| sk_c10 != X0
| sP3 ),
inference(forward_demodulation,[],[f1051,f380]) ).
fof(f1051,plain,
! [X0] :
( sk_c10 != multiply(X0,identity)
| inverse(X0) != sk_c10
| sP3 ),
inference(superposition,[],[f61,f1032]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f8931,plain,
sk_c10 = sk_c8,
inference(duplicate_literal_removal,[],[f8930]) ).
fof(f8930,plain,
( sk_c10 = sk_c8
| sk_c10 = sk_c8 ),
inference(forward_demodulation,[],[f8929,f1]) ).
fof(f8929,plain,
( sk_c8 = multiply(identity,sk_c10)
| sk_c10 = sk_c8 ),
inference(forward_demodulation,[],[f8928,f1032]) ).
fof(f8928,plain,
( sk_c10 = sk_c8
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(forward_demodulation,[],[f8927,f380]) ).
fof(f8927,plain,
( sk_c8 = multiply(sk_c10,identity)
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(forward_demodulation,[],[f8901,f1032]) ).
fof(f8901,plain,
( sk_c8 = multiply(sk_c10,sk_c9)
| multiply(sk_c9,sk_c10) = sk_c8 ),
inference(superposition,[],[f8838,f6]) ).
fof(f6,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| multiply(sk_c9,sk_c10) = sk_c8 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f8838,plain,
! [X0] : multiply(sk_c10,multiply(sk_c10,X0)) = X0,
inference(superposition,[],[f228,f8774]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GRP336-1 : TPTP v8.1.2. Released v2.5.0.
% 0.03/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n018.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % 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 04:35:58 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (23529)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.38 % (23532)WARNING: value z3 for option sas not known
% 0.22/0.38 % (23531)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 % (23530)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.22/0.38 % (23533)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.38 % (23534)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 % (23532)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 % (23535)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 % (23536)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]
% 0.22/0.39 TRYING [1]
% 0.22/0.39 TRYING [3]
% 0.22/0.39 TRYING [2]
% 0.22/0.40 TRYING [4]
% 0.22/0.40 TRYING [3]
% 0.22/0.42 TRYING [5]
% 0.22/0.43 TRYING [4]
% 0.22/0.46 TRYING [6]
% 0.22/0.52 % (23536)First to succeed.
% 0.22/0.52 % (23536)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (23536)------------------------------
% 0.22/0.52 % (23536)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.52 % (23536)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (23536)Memory used [KB]: 1435
% 0.22/0.52 % (23536)Time elapsed: 0.145 s
% 0.22/0.52 % (23536)Instructions burned: 347 (million)
% 0.22/0.52 % (23536)------------------------------
% 0.22/0.52 % (23536)------------------------------
% 0.22/0.52 % (23529)Success in time 0.151 s
%------------------------------------------------------------------------------