TSTP Solution File: GRP276-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP276-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n019.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 : Wed Aug 31 16:21:08 EDT 2022
% Result : Unsatisfiable 0.19s 0.58s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 49
% Syntax : Number of formulae : 169 ( 6 unt; 0 def)
% Number of atoms : 553 ( 194 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 726 ( 342 ~; 364 |; 0 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 21 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f742,plain,
$false,
inference(avatar_sat_refutation,[],[f49,f58,f68,f77,f85,f90,f98,f99,f104,f105,f110,f111,f112,f117,f118,f119,f121,f122,f124,f125,f126,f127,f128,f129,f133,f134,f136,f137,f139,f238,f387,f415,f419,f580,f584,f632,f636,f741]) ).
fof(f741,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| spl3_14
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| spl3_14
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f689,f229]) ).
fof(f229,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl3_6
| ~ spl3_7 ),
inference(backward_demodulation,[],[f1,f220]) ).
fof(f220,plain,
( identity = sk_c6
| ~ spl3_6
| ~ spl3_7 ),
inference(superposition,[],[f171,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f171,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_6
| ~ spl3_7 ),
inference(superposition,[],[f153,f154]) ).
fof(f154,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_6
| ~ spl3_7 ),
inference(superposition,[],[f151,f67]) ).
fof(f67,plain,
( multiply(sk_c1,sk_c7) = sk_c6
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl3_6
<=> multiply(sk_c1,sk_c7) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f151,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = X10
| ~ spl3_7 ),
inference(forward_demodulation,[],[f147,f1]) ).
fof(f147,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c1,X10)) = multiply(identity,X10)
| ~ spl3_7 ),
inference(superposition,[],[f3,f140]) ).
fof(f140,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_7 ),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f70,plain,
( spl3_7
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
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(f153,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f144,f1]) ).
fof(f144,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
inference(superposition,[],[f3,f2]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f689,plain,
( sk_c7 != multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_3
| spl3_14
| ~ spl3_16 ),
inference(forward_demodulation,[],[f102,f215]) ).
fof(f215,plain,
( sk_c7 = sk_c5
| ~ spl3_1
| ~ spl3_3
| ~ spl3_16 ),
inference(backward_demodulation,[],[f172,f179]) ).
fof(f179,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_1
| ~ spl3_16 ),
inference(superposition,[],[f153,f178]) ).
fof(f178,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_16 ),
inference(forward_demodulation,[],[f174,f116]) ).
fof(f116,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl3_16
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f174,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c7)
| ~ spl3_1 ),
inference(superposition,[],[f153,f44]) ).
fof(f44,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl3_1
<=> sk_c7 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f172,plain,
( sk_c5 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_3 ),
inference(superposition,[],[f153,f53]) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl3_3
<=> sk_c6 = multiply(sk_c7,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f102,plain,
( sk_c7 != multiply(sk_c6,sk_c5)
| spl3_14 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f101,plain,
( spl3_14
<=> sk_c7 = multiply(sk_c6,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f636,plain,
( spl3_10
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f635,f101,f96,f87,f74,f55,f46,f83]) ).
fof(f83,plain,
( spl3_10
<=> ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f46,plain,
( spl3_2
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f55,plain,
( spl3_4
<=> sk_c6 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f74,plain,
( spl3_8
<=> sk_c5 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f87,plain,
( spl3_11
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f96,plain,
( spl3_13
<=> ! [X6] :
( sk_c5 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f635,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14 ),
inference(forward_demodulation,[],[f634,f582]) ).
fof(f582,plain,
( sk_c7 = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f581,f295]) ).
fof(f295,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(backward_demodulation,[],[f76,f288]) ).
fof(f288,plain,
( sk_c7 = sk_c5
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(superposition,[],[f283,f103]) ).
fof(f103,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f101]) ).
fof(f283,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11 ),
inference(backward_demodulation,[],[f1,f276]) ).
fof(f276,plain,
( identity = sk_c6
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11 ),
inference(backward_demodulation,[],[f258,f254]) ).
fof(f254,plain,
( sk_c6 = multiply(sk_c5,sk_c7)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11 ),
inference(forward_demodulation,[],[f252,f76]) ).
fof(f252,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_4
| ~ spl3_11 ),
inference(superposition,[],[f153,f244]) ).
fof(f244,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_4
| ~ spl3_11 ),
inference(forward_demodulation,[],[f242,f89]) ).
fof(f89,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f242,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c6)
| ~ spl3_4 ),
inference(superposition,[],[f153,f57]) ).
fof(f57,plain,
( sk_c6 = multiply(sk_c3,sk_c7)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f55]) ).
fof(f258,plain,
( identity = multiply(sk_c5,sk_c7)
| ~ spl3_8 ),
inference(superposition,[],[f2,f76]) ).
fof(f76,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f581,plain,
( sk_c5 = inverse(sk_c7)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f48,f329]) ).
fof(f329,plain,
( sk_c7 = sk_c4
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f328,f244]) ).
fof(f328,plain,
( sk_c4 = multiply(sk_c7,sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f325,f295]) ).
fof(f325,plain,
( sk_c4 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(superposition,[],[f153,f324]) ).
fof(f324,plain,
( sk_c6 = multiply(sk_c7,sk_c4)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f281,f288]) ).
fof(f281,plain,
( sk_c6 = multiply(sk_c5,sk_c4)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11 ),
inference(backward_demodulation,[],[f257,f276]) ).
fof(f257,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl3_2 ),
inference(superposition,[],[f2,f48]) ).
fof(f48,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f46]) ).
fof(f634,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c5 != inverse(X6) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14 ),
inference(forward_demodulation,[],[f97,f582]) ).
fof(f97,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c5 != inverse(X6) )
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f632,plain,
( ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f631,plain,
( $false
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f630,f295]) ).
fof(f630,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_4
| ~ spl3_11
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f627]) ).
fof(f627,plain,
( sk_c7 != inverse(sk_c7)
| sk_c7 != sk_c7
| ~ spl3_4
| ~ spl3_11
| ~ spl3_17 ),
inference(superposition,[],[f132,f244]) ).
fof(f132,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f131]) ).
fof(f131,plain,
( spl3_17
<=> ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f584,plain,
( spl3_3
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f583,f101,f87,f74,f60,f55,f46,f51]) ).
fof(f60,plain,
( spl3_5
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f583,plain,
( sk_c6 = multiply(sk_c7,sk_c5)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_5
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f62,f329]) ).
fof(f62,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f580,plain,
( ~ spl3_1
| ~ spl3_16
| ~ spl3_17 ),
inference(avatar_contradiction_clause,[],[f579]) ).
fof(f579,plain,
( $false
| ~ spl3_1
| ~ spl3_16
| ~ spl3_17 ),
inference(subsumption_resolution,[],[f577,f116]) ).
fof(f577,plain,
( sk_c7 != inverse(sk_c2)
| ~ spl3_1
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f574]) ).
fof(f574,plain,
( sk_c7 != inverse(sk_c2)
| sk_c7 != sk_c7
| ~ spl3_1
| ~ spl3_17 ),
inference(superposition,[],[f132,f44]) ).
fof(f419,plain,
( spl3_10
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13
| ~ spl3_16 ),
inference(avatar_split_clause,[],[f418,f114,f96,f51,f42,f83]) ).
fof(f418,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c7)
| sk_c7 != inverse(X6) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f417,f215]) ).
fof(f417,plain,
( ! [X6] :
( sk_c5 != inverse(X6)
| sk_c6 != multiply(X6,sk_c7) )
| ~ spl3_1
| ~ spl3_3
| ~ spl3_13
| ~ spl3_16 ),
inference(forward_demodulation,[],[f97,f215]) ).
fof(f415,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f414]) ).
fof(f414,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| ~ spl3_10
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f412,f232]) ).
fof(f232,plain,
( sk_c7 = inverse(sk_c7)
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_16 ),
inference(backward_demodulation,[],[f72,f230]) ).
fof(f230,plain,
( sk_c1 = sk_c7
| ~ spl3_1
| ~ spl3_6
| ~ spl3_7
| ~ spl3_16 ),
inference(forward_demodulation,[],[f226,f179]) ).
fof(f226,plain,
( sk_c1 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_6
| ~ spl3_7 ),
inference(backward_demodulation,[],[f170,f220]) ).
fof(f170,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_7 ),
inference(superposition,[],[f153,f140]) ).
fof(f412,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_10
| ~ spl3_16 ),
inference(trivial_inequality_removal,[],[f409]) ).
fof(f409,plain,
( sk_c7 != inverse(sk_c7)
| sk_c6 != sk_c6
| ~ spl3_1
| ~ spl3_3
| ~ spl3_10
| ~ spl3_16 ),
inference(superposition,[],[f84,f397]) ).
fof(f397,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_1
| ~ spl3_3
| ~ spl3_16 ),
inference(forward_demodulation,[],[f53,f215]) ).
fof(f84,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f387,plain,
( ~ spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(avatar_contradiction_clause,[],[f386]) ).
fof(f386,plain,
( $false
| ~ spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(subsumption_resolution,[],[f385,f295]) ).
fof(f385,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f367,f295]) ).
fof(f367,plain,
( sk_c7 != inverse(inverse(sk_c7))
| ~ spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_11 ),
inference(trivial_inequality_removal,[],[f363]) ).
fof(f363,plain,
( sk_c6 != sk_c6
| sk_c7 != inverse(inverse(sk_c7))
| ~ spl3_4
| ~ spl3_8
| ~ spl3_10
| ~ spl3_11 ),
inference(superposition,[],[f84,f282]) ).
fof(f282,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11 ),
inference(backward_demodulation,[],[f2,f276]) ).
fof(f238,plain,
( ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_16 ),
inference(avatar_contradiction_clause,[],[f237]) ).
fof(f237,plain,
( $false
| ~ spl3_1
| ~ spl3_3
| ~ spl3_6
| ~ spl3_7
| spl3_8
| ~ spl3_16 ),
inference(subsumption_resolution,[],[f232,f219]) ).
fof(f219,plain,
( sk_c7 != inverse(sk_c7)
| ~ spl3_1
| ~ spl3_3
| spl3_8
| ~ spl3_16 ),
inference(backward_demodulation,[],[f75,f215]) ).
fof(f75,plain,
( sk_c5 != inverse(sk_c7)
| spl3_8 ),
inference(avatar_component_clause,[],[f74]) ).
fof(f139,plain,
( spl3_16
| spl3_8 ),
inference(avatar_split_clause,[],[f25,f74,f114]) ).
fof(f25,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f137,plain,
( spl3_3
| spl3_14 ),
inference(avatar_split_clause,[],[f16,f101,f51]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f136,plain,
( spl3_1
| spl3_8 ),
inference(avatar_split_clause,[],[f31,f74,f42]) ).
fof(f31,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f134,plain,
( spl3_16
| spl3_14 ),
inference(avatar_split_clause,[],[f22,f101,f114]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f133,plain,
( spl3_15
| spl3_17 ),
inference(avatar_split_clause,[],[f39,f131,f107]) ).
fof(f107,plain,
( spl3_15
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f39,plain,
! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sP2
| sk_c7 != inverse(X4) ),
inference(cnf_transformation,[],[f39_D]) ).
fof(f39_D,plain,
( ! [X4] :
( sk_c7 != multiply(X4,sk_c6)
| sk_c7 != inverse(X4) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f129,plain,
( spl3_7
| spl3_14 ),
inference(avatar_split_clause,[],[f10,f101,f70]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c6,sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f128,plain,
( spl3_11
| spl3_7 ),
inference(avatar_split_clause,[],[f12,f70,f87]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f127,plain,
( spl3_3
| spl3_5 ),
inference(avatar_split_clause,[],[f20,f60,f51]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f126,plain,
( spl3_8
| spl3_6 ),
inference(avatar_split_clause,[],[f7,f65,f74]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c5 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f125,plain,
( spl3_2
| spl3_16 ),
inference(avatar_split_clause,[],[f27,f114,f46]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f124,plain,
( spl3_1
| spl3_4 ),
inference(avatar_split_clause,[],[f29,f55,f42]) ).
fof(f29,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f122,plain,
( spl3_3
| spl3_8 ),
inference(avatar_split_clause,[],[f19,f74,f51]) ).
fof(f19,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f121,plain,
( spl3_16
| spl3_5 ),
inference(avatar_split_clause,[],[f26,f60,f114]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f119,plain,
( spl3_11
| spl3_16 ),
inference(avatar_split_clause,[],[f24,f114,f87]) ).
fof(f24,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f118,plain,
( spl3_11
| spl3_1 ),
inference(avatar_split_clause,[],[f30,f42,f87]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f117,plain,
( spl3_4
| spl3_16 ),
inference(avatar_split_clause,[],[f23,f114,f55]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f112,plain,
( spl3_14
| spl3_1 ),
inference(avatar_split_clause,[],[f28,f42,f101]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c2,sk_c6)
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f111,plain,
( spl3_11
| spl3_6 ),
inference(avatar_split_clause,[],[f6,f65,f87]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f110,plain,
( ~ spl3_12
| ~ spl3_14
| ~ spl3_8
| spl3_10
| ~ spl3_9
| ~ spl3_3
| ~ spl3_15 ),
inference(avatar_split_clause,[],[f40,f107,f51,f79,f83,f74,f101,f92]) ).
fof(f92,plain,
( spl3_12
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f79,plain,
( spl3_9
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f40,plain,
! [X5] :
( ~ sP2
| sk_c6 != multiply(sk_c7,sk_c5)
| ~ sP0
| sk_c7 != inverse(X5)
| sk_c5 != inverse(sk_c7)
| sk_c6 != multiply(X5,sk_c7)
| sk_c7 != multiply(sk_c6,sk_c5)
| ~ sP1 ),
inference(general_splitting,[],[f38,f39_D]) ).
fof(f38,plain,
! [X4,X5] :
( sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| sk_c7 != multiply(X4,sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c6 != multiply(sk_c7,sk_c5)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f36,f37_D]) ).
fof(f37,plain,
! [X6] :
( sk_c5 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5)
| sP1 ),
inference(cnf_transformation,[],[f37_D]) ).
fof(f37_D,plain,
( ! [X6] :
( sk_c5 != inverse(X6)
| sk_c6 != multiply(X6,sk_c5) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f36,plain,
! [X6,X4,X5] :
( sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != multiply(X4,sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c5 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c5)
| ~ sP0 ),
inference(general_splitting,[],[f34,f35_D]) ).
fof(f35,plain,
! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f35_D]) ).
fof(f35_D,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f34,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c6,sk_c5)
| sk_c6 != multiply(X5,sk_c7)
| sk_c7 != inverse(X5)
| sk_c7 != inverse(X4)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != multiply(X4,sk_c6)
| sk_c5 != inverse(sk_c7)
| sk_c6 != multiply(X3,sk_c7)
| sk_c5 != inverse(X6)
| sk_c6 != multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f105,plain,
( spl3_4
| spl3_7 ),
inference(avatar_split_clause,[],[f11,f70,f55]) ).
fof(f11,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f104,plain,
( spl3_14
| spl3_6 ),
inference(avatar_split_clause,[],[f4,f65,f101]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c7) = sk_c6
| sk_c7 = multiply(sk_c6,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f99,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f21,f46,f51]) ).
fof(f21,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f98,plain,
( spl3_12
| spl3_13 ),
inference(avatar_split_clause,[],[f37,f96,f92]) ).
fof(f90,plain,
( spl3_11
| spl3_3 ),
inference(avatar_split_clause,[],[f18,f51,f87]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c7,sk_c5)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f85,plain,
( spl3_9
| spl3_10 ),
inference(avatar_split_clause,[],[f35,f83,f79]) ).
fof(f77,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f13,f74,f70]) ).
fof(f13,axiom,
( sk_c5 = inverse(sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f68,plain,
( spl3_6
| spl3_4 ),
inference(avatar_split_clause,[],[f5,f55,f65]) ).
fof(f5,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| multiply(sk_c1,sk_c7) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f58,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f17,f55,f51]) ).
fof(f17,axiom,
( sk_c6 = multiply(sk_c3,sk_c7)
| sk_c6 = multiply(sk_c7,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f49,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f33,f46,f42]) ).
fof(f33,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c7 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP276-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:26:50 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51 % (31086)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.52 % (31079)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.19/0.52 % (31086)Instruction limit reached!
% 0.19/0.52 % (31086)------------------------------
% 0.19/0.52 % (31086)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 TRYING [1]
% 0.19/0.52 % (31086)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (31086)Termination reason: Unknown
% 0.19/0.52 % (31086)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (31086)Memory used [KB]: 5500
% 0.19/0.52 % (31086)Time elapsed: 0.110 s
% 0.19/0.52 % (31086)Instructions burned: 8 (million)
% 0.19/0.52 % (31086)------------------------------
% 0.19/0.52 % (31086)------------------------------
% 0.19/0.52 TRYING [2]
% 0.19/0.53 % (31087)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (31087)Instruction limit reached!
% 0.19/0.53 % (31087)------------------------------
% 0.19/0.53 % (31087)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (31087)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (31087)Termination reason: Unknown
% 0.19/0.53 % (31087)Termination phase: Saturation
% 0.19/0.53
% 0.19/0.53 % (31087)Memory used [KB]: 895
% 0.19/0.53 % (31087)Time elapsed: 0.002 s
% 0.19/0.53 % (31087)Instructions burned: 2 (million)
% 0.19/0.53 % (31087)------------------------------
% 0.19/0.53 % (31087)------------------------------
% 0.19/0.53 % (31102)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.53 % (31108)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.19/0.53 % (31101)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.53 % (31082)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 % (31084)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.53 % (31083)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.53 TRYING [3]
% 0.19/0.53 % (31100)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.19/0.53 % (31103)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.54 % (31095)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.54 % (31098)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 TRYING [4]
% 0.19/0.54 % (31093)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.54 % (31090)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.54 % (31092)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.55 % (31089)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (31091)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.55 % (31080)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.55 % (31105)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.19/0.55 % (31106)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.19/0.56 % (31081)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.56 % (31104)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.56 % (31085)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.56 % (31107)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 TRYING [2]
% 0.19/0.56 TRYING [3]
% 0.19/0.56 % (31096)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.56 % (31099)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.19/0.56 TRYING [1]
% 0.19/0.56 % (31097)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.56 TRYING [2]
% 0.19/0.57 TRYING [3]
% 0.19/0.57 % (31084)First to succeed.
% 0.19/0.57 % (31088)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.57 % (31094)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.58 % (31108)Also succeeded, but the first one will report.
% 0.19/0.58 % (31084)Refutation found. Thanks to Tanya!
% 0.19/0.58 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.58 % (31084)------------------------------
% 0.19/0.58 % (31084)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58 % (31084)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.58 % (31084)Termination reason: Refutation
% 0.19/0.58
% 0.19/0.58 % (31084)Memory used [KB]: 5756
% 0.19/0.58 % (31084)Time elapsed: 0.173 s
% 0.19/0.58 % (31084)Instructions burned: 29 (million)
% 0.19/0.58 % (31084)------------------------------
% 0.19/0.58 % (31084)------------------------------
% 0.19/0.58 % (31078)Success in time 0.23 s
%------------------------------------------------------------------------------