TSTP Solution File: GRP341-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP341-1 : 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 : n017.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 16:21:21 EDT 2022
% Result : Unsatisfiable 1.61s 0.61s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 48
% Syntax : Number of formulae : 178 ( 6 unt; 0 def)
% Number of atoms : 540 ( 205 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 691 ( 329 ~; 338 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 26 ( 24 usr; 25 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 40 ( 40 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f679,plain,
$false,
inference(avatar_sat_refutation,[],[f63,f68,f73,f83,f84,f94,f102,f108,f114,f115,f116,f127,f128,f131,f140,f142,f144,f145,f146,f148,f149,f150,f154,f155,f179,f268,f291,f322,f326,f330,f336,f404,f439,f525,f533,f536,f545,f611,f666,f672,f677]) ).
fof(f677,plain,
( spl3_24
| ~ spl3_9
| ~ spl3_20
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f676,f181,f169,f86,f196]) ).
fof(f196,plain,
( spl3_24
<=> sk_c6 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_24])]) ).
fof(f86,plain,
( spl3_9
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f169,plain,
( spl3_20
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_20])]) ).
fof(f181,plain,
( spl3_22
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_22])]) ).
fof(f676,plain,
( sk_c6 = sk_c7
| ~ spl3_9
| ~ spl3_20
| ~ spl3_22 ),
inference(forward_demodulation,[],[f675,f311]) ).
fof(f311,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl3_20 ),
inference(backward_demodulation,[],[f1,f170]) ).
fof(f170,plain,
( identity = sk_c6
| ~ spl3_20 ),
inference(avatar_component_clause,[],[f169]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f675,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f88,f182]) ).
fof(f182,plain,
( sk_c6 = sk_c5
| ~ spl3_22 ),
inference(avatar_component_clause,[],[f181]) ).
fof(f88,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f672,plain,
( ~ spl3_24
| ~ spl3_17
| ~ spl3_20
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f671,f173,f169,f134,f196]) ).
fof(f134,plain,
( spl3_17
<=> ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f173,plain,
( spl3_21
<=> sk_c6 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f671,plain,
( sk_c6 != sk_c7
| ~ spl3_17
| ~ spl3_20
| ~ spl3_21 ),
inference(duplicate_literal_removal,[],[f670]) ).
fof(f670,plain,
( sk_c6 != sk_c7
| sk_c6 != sk_c7
| ~ spl3_17
| ~ spl3_20
| ~ spl3_21 ),
inference(forward_demodulation,[],[f669,f174]) ).
fof(f174,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f173]) ).
fof(f669,plain,
( sk_c7 != inverse(sk_c6)
| sk_c6 != sk_c7
| ~ spl3_17
| ~ spl3_20
| ~ spl3_21 ),
inference(forward_demodulation,[],[f634,f170]) ).
fof(f634,plain,
( identity != sk_c7
| sk_c7 != inverse(sk_c6)
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f190,f174]) ).
fof(f190,plain,
( sk_c7 != inverse(inverse(sk_c6))
| identity != sk_c7
| ~ spl3_17 ),
inference(superposition,[],[f135,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f135,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f666,plain,
( spl3_24
| ~ spl3_14
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f665,f181,f173,f169,f111,f196]) ).
fof(f111,plain,
( spl3_14
<=> multiply(sk_c6,sk_c7) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f665,plain,
( sk_c6 = sk_c7
| ~ spl3_14
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f664,f311]) ).
fof(f664,plain,
( sk_c7 = multiply(sk_c6,sk_c6)
| ~ spl3_14
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f470,f182]) ).
fof(f470,plain,
( sk_c7 = multiply(sk_c6,sk_c5)
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f242,f174]) ).
fof(f242,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_14 ),
inference(superposition,[],[f224,f113]) ).
fof(f113,plain,
( multiply(sk_c6,sk_c7) = sk_c5
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f224,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f215,f1]) ).
fof(f215,plain,
! [X6,X7] : multiply(identity,X7) = multiply(inverse(X6),multiply(X6,X7)),
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(f611,plain,
( ~ spl3_16
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| ~ spl3_16
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22 ),
inference(subsumption_resolution,[],[f609,f174]) ).
fof(f609,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_16
| ~ spl3_20
| ~ spl3_21
| ~ spl3_22 ),
inference(forward_demodulation,[],[f605,f174]) ).
fof(f605,plain,
( sk_c6 != inverse(inverse(sk_c6))
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(trivial_inequality_removal,[],[f603]) ).
fof(f603,plain,
( sk_c6 != inverse(inverse(sk_c6))
| sk_c6 != sk_c6
| ~ spl3_16
| ~ spl3_20
| ~ spl3_22 ),
inference(superposition,[],[f590,f312]) ).
fof(f312,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c6
| ~ spl3_20 ),
inference(backward_demodulation,[],[f2,f170]) ).
fof(f590,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl3_16
| ~ spl3_22 ),
inference(forward_demodulation,[],[f126,f182]) ).
fof(f126,plain,
( ! [X6] :
( sk_c5 != multiply(X6,sk_c6)
| sk_c6 != inverse(X6) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl3_16
<=> ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(X6,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f545,plain,
( spl3_20
| ~ spl3_4
| ~ spl3_7
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f304,f196,f76,f60,f169]) ).
fof(f60,plain,
( spl3_4
<=> sk_c7 = multiply(sk_c1,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f76,plain,
( spl3_7
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f304,plain,
( identity = sk_c6
| ~ spl3_4
| ~ spl3_7
| ~ spl3_24 ),
inference(superposition,[],[f285,f2]) ).
fof(f285,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_24 ),
inference(superposition,[],[f224,f280]) ).
fof(f280,plain,
( sk_c6 = multiply(sk_c6,sk_c6)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_24 ),
inference(forward_demodulation,[],[f278,f270]) ).
fof(f270,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl3_7
| ~ spl3_24 ),
inference(backward_demodulation,[],[f78,f197]) ).
fof(f197,plain,
( sk_c6 = sk_c7
| ~ spl3_24 ),
inference(avatar_component_clause,[],[f196]) ).
fof(f78,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f278,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_4
| ~ spl3_24 ),
inference(superposition,[],[f224,f269]) ).
fof(f269,plain,
( sk_c6 = multiply(sk_c1,sk_c6)
| ~ spl3_4
| ~ spl3_24 ),
inference(backward_demodulation,[],[f62,f197]) ).
fof(f62,plain,
( sk_c7 = multiply(sk_c1,sk_c6)
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f536,plain,
( spl3_22
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f284,f196,f76,f70,f60,f51,f181]) ).
fof(f51,plain,
( spl3_2
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f70,plain,
( spl3_6
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f284,plain,
( sk_c6 = sk_c5
| ~ spl3_2
| ~ spl3_4
| ~ spl3_6
| ~ spl3_7
| ~ spl3_24 ),
inference(backward_demodulation,[],[f230,f280]) ).
fof(f230,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_2
| ~ spl3_6 ),
inference(superposition,[],[f225,f53]) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f225,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c2,X9)) = X9
| ~ spl3_6 ),
inference(forward_demodulation,[],[f217,f1]) ).
fof(f217,plain,
( ! [X9] : multiply(identity,X9) = multiply(sk_c6,multiply(sk_c2,X9))
| ~ spl3_6 ),
inference(superposition,[],[f3,f161]) ).
fof(f161,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl3_6 ),
inference(superposition,[],[f2,f72]) ).
fof(f72,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f70]) ).
fof(f533,plain,
( spl3_22
| ~ spl3_8
| ~ spl3_20 ),
inference(avatar_split_clause,[],[f442,f169,f80,f181]) ).
fof(f80,plain,
( spl3_8
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f442,plain,
( sk_c6 = sk_c5
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f441,f170]) ).
fof(f441,plain,
( identity = sk_c5
| ~ spl3_8
| ~ spl3_20 ),
inference(forward_demodulation,[],[f157,f311]) ).
fof(f157,plain,
( identity = multiply(sk_c6,sk_c5)
| ~ spl3_8 ),
inference(superposition,[],[f2,f82]) ).
fof(f82,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f525,plain,
( spl3_20
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10 ),
inference(avatar_split_clause,[],[f506,f91,f80,f56,f169]) ).
fof(f56,plain,
( spl3_3
<=> sk_c5 = multiply(sk_c4,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f91,plain,
( spl3_10
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f506,plain,
( identity = sk_c6
| ~ spl3_3
| ~ spl3_8
| ~ spl3_10 ),
inference(backward_demodulation,[],[f157,f458]) ).
fof(f458,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl3_3
| ~ spl3_10 ),
inference(forward_demodulation,[],[f456,f93]) ).
fof(f93,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f456,plain,
( sk_c6 = multiply(inverse(sk_c4),sk_c5)
| ~ spl3_3 ),
inference(superposition,[],[f224,f58]) ).
fof(f58,plain,
( sk_c5 = multiply(sk_c4,sk_c6)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f439,plain,
( ~ spl3_22
| spl3_14
| ~ spl3_20
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f438,f196,f169,f111,f181]) ).
fof(f438,plain,
( sk_c6 != sk_c5
| spl3_14
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f437,f197]) ).
fof(f437,plain,
( sk_c7 != sk_c5
| spl3_14
| ~ spl3_20 ),
inference(forward_demodulation,[],[f112,f311]) ).
fof(f112,plain,
( multiply(sk_c6,sk_c7) != sk_c5
| spl3_14 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f404,plain,
( ~ spl3_19
| ~ spl3_20
| ~ spl3_21
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f403]) ).
fof(f403,plain,
( $false
| ~ spl3_19
| ~ spl3_20
| ~ spl3_21
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f395,f174]) ).
fof(f395,plain,
( sk_c6 != inverse(sk_c6)
| ~ spl3_19
| ~ spl3_20
| ~ spl3_24 ),
inference(trivial_inequality_removal,[],[f394]) ).
fof(f394,plain,
( sk_c6 != inverse(sk_c6)
| sk_c6 != sk_c6
| ~ spl3_19
| ~ spl3_20
| ~ spl3_24 ),
inference(superposition,[],[f340,f311]) ).
fof(f340,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c6)
| sk_c6 != inverse(X5) )
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f339,f197]) ).
fof(f339,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c7)
| sk_c6 != inverse(X5) )
| ~ spl3_19
| ~ spl3_24 ),
inference(forward_demodulation,[],[f153,f197]) ).
fof(f153,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c6 != multiply(X5,sk_c7) )
| ~ spl3_19 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f152,plain,
( spl3_19
<=> ! [X5] :
( sk_c7 != inverse(X5)
| sk_c6 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f336,plain,
( ~ spl3_4
| ~ spl3_7
| spl3_9
| ~ spl3_22
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl3_4
| ~ spl3_7
| spl3_9
| ~ spl3_22
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f334,f197]) ).
fof(f334,plain,
( sk_c6 != sk_c7
| ~ spl3_4
| ~ spl3_7
| spl3_9
| ~ spl3_22
| ~ spl3_24 ),
inference(forward_demodulation,[],[f333,f280]) ).
fof(f333,plain,
( sk_c7 != multiply(sk_c6,sk_c6)
| spl3_9
| ~ spl3_22 ),
inference(forward_demodulation,[],[f87,f182]) ).
fof(f87,plain,
( sk_c7 != multiply(sk_c5,sk_c6)
| spl3_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f330,plain,
( spl3_21
| ~ spl3_8
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f329,f181,f80,f173]) ).
fof(f329,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl3_8
| ~ spl3_22 ),
inference(forward_demodulation,[],[f82,f182]) ).
fof(f326,plain,
( ~ spl3_4
| spl3_5
| ~ spl3_7
| ~ spl3_22
| ~ spl3_24 ),
inference(avatar_contradiction_clause,[],[f325]) ).
fof(f325,plain,
( $false
| ~ spl3_4
| spl3_5
| ~ spl3_7
| ~ spl3_22
| ~ spl3_24 ),
inference(subsumption_resolution,[],[f324,f280]) ).
fof(f324,plain,
( sk_c6 != multiply(sk_c6,sk_c6)
| spl3_5
| ~ spl3_22
| ~ spl3_24 ),
inference(forward_demodulation,[],[f323,f182]) ).
fof(f323,plain,
( sk_c6 != multiply(sk_c5,sk_c6)
| spl3_5
| ~ spl3_24 ),
inference(forward_demodulation,[],[f66,f197]) ).
fof(f66,plain,
( sk_c6 != multiply(sk_c5,sk_c7)
| spl3_5 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f65,plain,
( spl3_5
<=> sk_c6 = multiply(sk_c5,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f322,plain,
( spl3_21
| ~ spl3_4
| ~ spl3_7
| ~ spl3_20
| ~ spl3_24 ),
inference(avatar_split_clause,[],[f319,f196,f169,f76,f60,f173]) ).
fof(f319,plain,
( sk_c6 = inverse(sk_c6)
| ~ spl3_4
| ~ spl3_7
| ~ spl3_20
| ~ spl3_24 ),
inference(backward_demodulation,[],[f270,f316]) ).
fof(f316,plain,
( sk_c6 = sk_c1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_20
| ~ spl3_24 ),
inference(forward_demodulation,[],[f315,f285]) ).
fof(f315,plain,
( sk_c1 = multiply(inverse(sk_c6),sk_c6)
| ~ spl3_7
| ~ spl3_20
| ~ spl3_24 ),
inference(backward_demodulation,[],[f275,f170]) ).
fof(f275,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl3_7
| ~ spl3_24 ),
inference(backward_demodulation,[],[f244,f197]) ).
fof(f244,plain,
( sk_c1 = multiply(inverse(sk_c7),identity)
| ~ spl3_7 ),
inference(superposition,[],[f224,f160]) ).
fof(f160,plain,
( identity = multiply(sk_c7,sk_c1)
| ~ spl3_7 ),
inference(superposition,[],[f2,f78]) ).
fof(f291,plain,
( ~ spl3_21
| spl3_8
| ~ spl3_22 ),
inference(avatar_split_clause,[],[f289,f181,f80,f173]) ).
fof(f289,plain,
( sk_c6 != inverse(sk_c6)
| spl3_8
| ~ spl3_22 ),
inference(backward_demodulation,[],[f81,f182]) ).
fof(f81,plain,
( sk_c6 != inverse(sk_c5)
| spl3_8 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f268,plain,
( spl3_24
| ~ spl3_2
| ~ spl3_6
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f265,f111,f70,f51,f196]) ).
fof(f265,plain,
( sk_c6 = sk_c7
| ~ spl3_2
| ~ spl3_6
| ~ spl3_14 ),
inference(backward_demodulation,[],[f242,f241]) ).
fof(f241,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_2
| ~ spl3_6 ),
inference(superposition,[],[f224,f230]) ).
fof(f179,plain,
( ~ spl3_21
| ~ spl3_20
| ~ spl3_8
| ~ spl3_11 ),
inference(avatar_split_clause,[],[f164,f96,f80,f169,f173]) ).
fof(f96,plain,
( spl3_11
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f164,plain,
( identity != sk_c6
| sk_c6 != inverse(sk_c6)
| ~ spl3_8
| ~ spl3_11 ),
inference(superposition,[],[f97,f157]) ).
fof(f97,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f96]) ).
fof(f155,plain,
( spl3_4
| spl3_8 ),
inference(avatar_split_clause,[],[f20,f80,f60]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f154,plain,
( spl3_19
| ~ spl3_18
| ~ spl3_15
| ~ spl3_12
| ~ spl3_8
| ~ spl3_9
| ~ spl3_14
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f45,f65,f111,f86,f80,f99,f121,f137,f152]) ).
fof(f137,plain,
( spl3_18
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f121,plain,
( spl3_15
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f99,plain,
( spl3_12
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f45,plain,
! [X5] :
( sk_c6 != multiply(sk_c5,sk_c7)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c7 != multiply(sk_c5,sk_c6)
| sk_c6 != inverse(sk_c5)
| ~ sP2
| ~ sP1
| ~ sP0
| sk_c7 != inverse(X5)
| sk_c6 != multiply(X5,sk_c7) ),
inference(general_splitting,[],[f43,f44_D]) ).
fof(f44,plain,
! [X4] :
( sP2
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) ),
inference(cnf_transformation,[],[f44_D]) ).
fof(f44_D,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c6 != multiply(X4,sk_c5) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f43,plain,
! [X4,X5] :
( sk_c7 != multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c6 != inverse(sk_c5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f41,f42_D]) ).
fof(f42,plain,
! [X6] :
( sk_c6 != inverse(X6)
| sP1
| sk_c5 != multiply(X6,sk_c6) ),
inference(cnf_transformation,[],[f42_D]) ).
fof(f42_D,plain,
( ! [X6] :
( sk_c6 != inverse(X6)
| sk_c5 != multiply(X6,sk_c6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f41,plain,
! [X6,X4,X5] :
( sk_c7 != multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != multiply(X6,sk_c6)
| sk_c6 != inverse(sk_c5)
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != inverse(X5)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7)
| ~ sP0 ),
inference(general_splitting,[],[f39,f40_D]) ).
fof(f40,plain,
! [X3] :
( sP0
| sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) ),
inference(cnf_transformation,[],[f40_D]) ).
fof(f40_D,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c6)
| sk_c7 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f39,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) != sk_c5
| sk_c5 != multiply(X6,sk_c6)
| sk_c6 != inverse(sk_c5)
| sk_c6 != inverse(X6)
| sk_c6 != multiply(X4,sk_c5)
| sk_c7 != inverse(X5)
| sk_c7 != multiply(X3,sk_c6)
| sk_c6 != inverse(X4)
| sk_c6 != multiply(X5,sk_c7)
| sk_c6 != multiply(sk_c5,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f150,plain,
( spl3_10
| spl3_7 ),
inference(avatar_split_clause,[],[f15,f76,f91]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f149,plain,
( spl3_10
| spl3_4 ),
inference(avatar_split_clause,[],[f22,f60,f91]) ).
fof(f22,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f148,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f35,f51,f56]) ).
fof(f35,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f146,plain,
( spl3_7
| spl3_3 ),
inference(avatar_split_clause,[],[f14,f56,f76]) ).
fof(f14,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f145,plain,
( spl3_9
| spl3_7 ),
inference(avatar_split_clause,[],[f17,f76,f86]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f144,plain,
( spl3_6
| spl3_8 ),
inference(avatar_split_clause,[],[f27,f80,f70]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f142,plain,
( spl3_6
| spl3_10 ),
inference(avatar_split_clause,[],[f29,f91,f70]) ).
fof(f29,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f140,plain,
( spl3_17
| spl3_18 ),
inference(avatar_split_clause,[],[f40,f137,f134]) ).
fof(f131,plain,
( spl3_14
| spl3_9 ),
inference(avatar_split_clause,[],[f10,f86,f111]) ).
fof(f10,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f128,plain,
( spl3_10
| spl3_14 ),
inference(avatar_split_clause,[],[f8,f111,f91]) ).
fof(f8,axiom,
( multiply(sk_c6,sk_c7) = sk_c5
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f127,plain,
( spl3_15
| spl3_16 ),
inference(avatar_split_clause,[],[f42,f125,f121]) ).
fof(f116,plain,
( spl3_14
| spl3_3 ),
inference(avatar_split_clause,[],[f7,f56,f111]) ).
fof(f7,axiom,
( sk_c5 = multiply(sk_c4,sk_c6)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f115,plain,
( spl3_7
| spl3_5 ),
inference(avatar_split_clause,[],[f16,f65,f76]) ).
fof(f16,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f114,plain,
( spl3_14
| spl3_8 ),
inference(avatar_split_clause,[],[f6,f80,f111]) ).
fof(f6,axiom,
( sk_c6 = inverse(sk_c5)
| multiply(sk_c6,sk_c7) = sk_c5 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f108,plain,
( spl3_4
| spl3_9 ),
inference(avatar_split_clause,[],[f24,f86,f60]) ).
fof(f24,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f102,plain,
( spl3_11
| spl3_12 ),
inference(avatar_split_clause,[],[f44,f99,f96]) ).
fof(f94,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f36,f51,f91]) ).
fof(f36,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f84,plain,
( spl3_2
| spl3_8 ),
inference(avatar_split_clause,[],[f34,f80,f51]) ).
fof(f34,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f83,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f13,f80,f76]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f73,plain,
( spl3_3
| spl3_6 ),
inference(avatar_split_clause,[],[f28,f70,f56]) ).
fof(f28,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f68,plain,
( spl3_4
| spl3_5 ),
inference(avatar_split_clause,[],[f23,f65,f60]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c5,sk_c7)
| sk_c7 = multiply(sk_c1,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f63,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f21,f60,f56]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c1,sk_c6)
| sk_c5 = multiply(sk_c4,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP341-1 : 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 : n017.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 21:49:05 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.27/0.54 % (462)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.27/0.55 % (454)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)
% 1.61/0.56 % (491)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.61/0.56 % (465)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)
% 1.61/0.57 % (480)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.61/0.58 % (451)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)
% 1.61/0.58 % (457)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.61/0.59 % (454)First to succeed.
% 1.61/0.59 % (457)Instruction limit reached!
% 1.61/0.59 % (457)------------------------------
% 1.61/0.59 % (457)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.59 % (457)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.59 % (457)Termination reason: Unknown
% 1.61/0.59 % (457)Termination phase: Saturation
% 1.61/0.59
% 1.61/0.59 % (457)Memory used [KB]: 5373
% 1.61/0.59 % (457)Time elapsed: 0.163 s
% 1.61/0.59 % (457)Instructions burned: 2 (million)
% 1.61/0.59 % (457)------------------------------
% 1.61/0.59 % (457)------------------------------
% 1.61/0.59 % (472)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)
% 1.61/0.59 % (461)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.61/0.60 % (464)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)
% 1.61/0.60 % (463)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)
% 1.61/0.60 % (471)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)
% 1.61/0.60 % (453)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.61/0.61 % (452)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)
% 1.61/0.61 % (454)Refutation found. Thanks to Tanya!
% 1.61/0.61 % SZS status Unsatisfiable for theBenchmark
% 1.61/0.61 % SZS output start Proof for theBenchmark
% See solution above
% 1.61/0.61 % (454)------------------------------
% 1.61/0.61 % (454)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.61/0.61 % (454)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.61/0.61 % (454)Termination reason: Refutation
% 1.61/0.61
% 1.61/0.61 % (454)Memory used [KB]: 5756
% 1.61/0.61 % (454)Time elapsed: 0.153 s
% 1.61/0.61 % (454)Instructions burned: 19 (million)
% 1.61/0.61 % (454)------------------------------
% 1.61/0.61 % (454)------------------------------
% 1.61/0.61 % (448)Success in time 0.255 s
%------------------------------------------------------------------------------