TSTP Solution File: GRP256-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP256-1 : 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 : n016.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 16:21:03 EDT 2022
% Result : Unsatisfiable 1.40s 0.53s
% Output : Refutation 1.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 43
% Syntax : Number of formulae : 158 ( 4 unt; 0 def)
% Number of atoms : 476 ( 181 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 618 ( 300 ~; 299 |; 0 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 20 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f518,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f70,f84,f93,f95,f105,f106,f108,f109,f113,f121,f122,f131,f132,f133,f134,f151,f152,f154,f155,f157,f265,f365,f367,f392,f394,f412,f416,f439,f478,f482,f491,f517]) ).
fof(f517,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f516]) ).
fof(f516,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f515,f83]) ).
fof(f83,plain,
( sk_c10 = inverse(sk_c1)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_8
<=> sk_c10 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f515,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_2
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f514]) ).
fof(f514,plain,
( sk_c10 != inverse(sk_c1)
| sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_15 ),
inference(superposition,[],[f141,f55]) ).
fof(f55,plain,
( multiply(sk_c1,sk_c10) = sk_c9
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_2
<=> multiply(sk_c1,sk_c10) = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f141,plain,
( ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f140,plain,
( spl0_15
<=> ! [X6] :
( sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f491,plain,
( ~ spl0_5
| ~ spl0_10
| ~ spl0_13
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13
| spl0_20 ),
inference(subsumption_resolution,[],[f489,f168]) ).
fof(f168,plain,
( sk_c9 != sk_c8
| spl0_20 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f166,plain,
( spl0_20
<=> sk_c9 = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f489,plain,
( sk_c9 = sk_c8
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f92,f344]) ).
fof(f344,plain,
( sk_c9 = multiply(sk_c9,sk_c7)
| ~ spl0_5
| ~ spl0_13 ),
inference(superposition,[],[f334,f119]) ).
fof(f119,plain,
( sk_c7 = multiply(sk_c6,sk_c9)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_13
<=> sk_c7 = multiply(sk_c6,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f334,plain,
( ! [X0] : multiply(sk_c9,multiply(sk_c6,X0)) = X0
| ~ spl0_5 ),
inference(forward_demodulation,[],[f333,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f333,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c9,multiply(sk_c6,X0))
| ~ spl0_5 ),
inference(superposition,[],[f3,f319]) ).
fof(f319,plain,
( identity = multiply(sk_c9,sk_c6)
| ~ spl0_5 ),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
( sk_c9 = inverse(sk_c6)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_5
<=> sk_c9 = inverse(sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
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(f92,plain,
( sk_c8 = multiply(sk_c9,sk_c7)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f90]) ).
fof(f90,plain,
( spl0_10
<=> sk_c8 = multiply(sk_c9,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f482,plain,
( ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f481]) ).
fof(f481,plain,
( $false
| ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f474,f268]) ).
fof(f268,plain,
( sk_c9 = inverse(sk_c3)
| ~ spl0_12
| ~ spl0_20 ),
inference(backward_demodulation,[],[f104,f167]) ).
fof(f167,plain,
( sk_c9 = sk_c8
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f166]) ).
fof(f104,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f102,plain,
( spl0_12
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f474,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f471]) ).
fof(f471,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c3)
| ~ spl0_12
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f441,f274]) ).
fof(f274,plain,
( ! [X11] : multiply(sk_c9,multiply(sk_c3,X11)) = X11
| ~ spl0_12
| ~ spl0_20 ),
inference(backward_demodulation,[],[f206,f167]) ).
fof(f206,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c3,X11)) = X11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f201,f1]) ).
fof(f201,plain,
( ! [X11] : multiply(sk_c8,multiply(sk_c3,X11)) = multiply(identity,X11)
| ~ spl0_12 ),
inference(superposition,[],[f3,f184]) ).
fof(f184,plain,
( identity = multiply(sk_c8,sk_c3)
| ~ spl0_12 ),
inference(superposition,[],[f2,f104]) ).
fof(f441,plain,
( ! [X9] :
( sk_c9 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) )
| ~ spl0_14
| ~ spl0_20 ),
inference(forward_demodulation,[],[f138,f167]) ).
fof(f138,plain,
( ! [X9] :
( sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f137]) ).
fof(f137,plain,
( spl0_14
<=> ! [X9] :
( sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f478,plain,
( ~ spl0_5
| ~ spl0_14
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f477]) ).
fof(f477,plain,
( $false
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f476,f69]) ).
fof(f476,plain,
( sk_c9 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f472]) ).
fof(f472,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c6)
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20 ),
inference(superposition,[],[f441,f334]) ).
fof(f439,plain,
( ~ spl0_1
| ~ spl0_7
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl0_1
| ~ spl0_7
| ~ spl0_15 ),
inference(subsumption_resolution,[],[f422,f51]) ).
fof(f51,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_1
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f422,plain,
( sk_c10 != inverse(sk_c4)
| ~ spl0_7
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f421]) ).
fof(f421,plain,
( sk_c9 != sk_c9
| sk_c10 != inverse(sk_c4)
| ~ spl0_7
| ~ spl0_15 ),
inference(superposition,[],[f141,f78]) ).
fof(f78,plain,
( sk_c9 = multiply(sk_c4,sk_c10)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_7
<=> sk_c9 = multiply(sk_c4,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f416,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f415]) ).
fof(f415,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| ~ spl0_18
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f409,f268]) ).
fof(f409,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_9
| ~ spl0_18
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f405]) ).
fof(f405,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c3)
| ~ spl0_9
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f396,f267]) ).
fof(f267,plain,
( sk_c9 = multiply(sk_c3,sk_c9)
| ~ spl0_9
| ~ spl0_20 ),
inference(backward_demodulation,[],[f88,f167]) ).
fof(f88,plain,
( sk_c8 = multiply(sk_c3,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl0_9
<=> sk_c8 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f396,plain,
( ! [X4] :
( sk_c9 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_18
| ~ spl0_20 ),
inference(forward_demodulation,[],[f150,f167]) ).
fof(f150,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) )
| ~ spl0_18 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_18
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c9 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f412,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f411]) ).
fof(f411,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_18
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f410,f300]) ).
fof(f300,plain,
( sk_c9 = inverse(sk_c5)
| ~ spl0_3
| ~ spl0_20 ),
inference(forward_demodulation,[],[f60,f167]) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f410,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_11
| ~ spl0_18
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f402]) ).
fof(f402,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_11
| ~ spl0_18
| ~ spl0_20 ),
inference(superposition,[],[f396,f304]) ).
fof(f304,plain,
( sk_c9 = multiply(sk_c5,sk_c9)
| ~ spl0_11
| ~ spl0_20 ),
inference(forward_demodulation,[],[f99,f167]) ).
fof(f99,plain,
( sk_c9 = multiply(sk_c5,sk_c8)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl0_11
<=> sk_c9 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f394,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f393]) ).
fof(f393,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f387,f300]) ).
fof(f387,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_11
| ~ spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f381]) ).
fof(f381,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c5)
| ~ spl0_11
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f375,f304]) ).
fof(f375,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c9 != inverse(X7) )
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f374,f167]) ).
fof(f374,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c9)
| sk_c8 != inverse(X7) )
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f147,f167]) ).
fof(f147,plain,
( ! [X7] :
( sk_c9 != multiply(X7,sk_c8)
| sk_c8 != inverse(X7) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl0_17
<=> ! [X7] :
( sk_c8 != inverse(X7)
| sk_c9 != multiply(X7,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f392,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f391]) ).
fof(f391,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| ~ spl0_17
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f388,f268]) ).
fof(f388,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_9
| ~ spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f384]) ).
fof(f384,plain,
( sk_c9 != inverse(sk_c3)
| sk_c9 != sk_c9
| ~ spl0_9
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f375,f267]) ).
fof(f367,plain,
( ~ spl0_3
| ~ spl0_11
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f366]) ).
fof(f366,plain,
( $false
| ~ spl0_3
| ~ spl0_11
| ~ spl0_16
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f359,f300]) ).
fof(f359,plain,
( sk_c9 != inverse(sk_c5)
| ~ spl0_11
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f355]) ).
fof(f355,plain,
( sk_c9 != inverse(sk_c5)
| sk_c9 != sk_c9
| ~ spl0_11
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f317,f304]) ).
fof(f317,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c9)
| sk_c9 != inverse(X5) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f316,f167]) ).
fof(f316,plain,
( ! [X5] :
( sk_c9 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f144,f167]) ).
fof(f144,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c9)
| sk_c8 != inverse(X5) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f143]) ).
fof(f143,plain,
( spl0_16
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f365,plain,
( ~ spl0_9
| ~ spl0_12
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f364]) ).
fof(f364,plain,
( $false
| ~ spl0_9
| ~ spl0_12
| ~ spl0_16
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f362,f268]) ).
fof(f362,plain,
( sk_c9 != inverse(sk_c3)
| ~ spl0_9
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f358]) ).
fof(f358,plain,
( sk_c9 != sk_c9
| sk_c9 != inverse(sk_c3)
| ~ spl0_9
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f317,f267]) ).
fof(f265,plain,
( ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f264]) ).
fof(f264,plain,
( $false
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12
| spl0_20 ),
inference(subsumption_resolution,[],[f263,f168]) ).
fof(f263,plain,
( sk_c9 = sk_c8
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(backward_demodulation,[],[f74,f262]) ).
fof(f262,plain,
( sk_c9 = multiply(sk_c2,sk_c9)
| ~ spl0_4
| ~ spl0_6
| ~ spl0_9
| ~ spl0_12 ),
inference(forward_demodulation,[],[f256,f241]) ).
fof(f241,plain,
( sk_c9 = multiply(sk_c8,sk_c8)
| ~ spl0_9
| ~ spl0_12 ),
inference(superposition,[],[f206,f88]) ).
fof(f256,plain,
( multiply(sk_c2,sk_c9) = multiply(sk_c8,sk_c8)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f202,f245]) ).
fof(f245,plain,
( sk_c9 = multiply(sk_c9,sk_c8)
| ~ spl0_4
| ~ spl0_6 ),
inference(superposition,[],[f210,f74]) ).
fof(f210,plain,
( ! [X10] : multiply(sk_c9,multiply(sk_c2,X10)) = X10
| ~ spl0_4 ),
inference(forward_demodulation,[],[f200,f1]) ).
fof(f200,plain,
( ! [X10] : multiply(sk_c9,multiply(sk_c2,X10)) = multiply(identity,X10)
| ~ spl0_4 ),
inference(superposition,[],[f3,f182]) ).
fof(f182,plain,
( identity = multiply(sk_c9,sk_c2)
| ~ spl0_4 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c9 = inverse(sk_c2)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_4
<=> sk_c9 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f202,plain,
( ! [X12] : multiply(sk_c2,multiply(sk_c9,X12)) = multiply(sk_c8,X12)
| ~ spl0_6 ),
inference(superposition,[],[f3,f74]) ).
fof(f74,plain,
( sk_c8 = multiply(sk_c2,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_6
<=> sk_c8 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f157,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f42,f58,f86]) ).
fof(f42,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_39) ).
fof(f155,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f41,f86,f97]) ).
fof(f41,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_38) ).
fof(f154,plain,
( spl0_12
| spl0_13 ),
inference(avatar_split_clause,[],[f37,f117,f102]) ).
fof(f37,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_34) ).
fof(f152,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f24,f72,f67]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f151,plain,
( spl0_14
| spl0_15
| spl0_15
| spl0_16
| spl0_17
| spl0_18 ),
inference(avatar_split_clause,[],[f47,f149,f146,f143,f140,f140,f137]) ).
fof(f47,plain,
! [X3,X6,X9,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c9)
| sk_c8 != inverse(X7)
| sk_c8 != inverse(X5)
| sk_c9 != multiply(X3,sk_c10)
| sk_c9 != multiply(X6,sk_c10)
| sk_c8 != multiply(sk_c9,multiply(X9,sk_c9))
| sk_c9 != inverse(X9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c10 != inverse(X6)
| sk_c9 != inverse(X4)
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X5,sk_c9) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,axiom,
! [X3,X8,X6,X9,X7,X4,X5] :
( sk_c8 != multiply(sk_c9,X8)
| sk_c9 != multiply(X6,sk_c10)
| sk_c10 != inverse(X3)
| sk_c8 != multiply(X4,sk_c9)
| sk_c9 != multiply(X7,sk_c8)
| sk_c9 != multiply(X3,sk_c10)
| sk_c8 != inverse(X7)
| multiply(X9,sk_c9) != X8
| sk_c9 != inverse(X4)
| sk_c9 != inverse(X9)
| sk_c8 != inverse(X5)
| sk_c10 != inverse(X6)
| sk_c8 != multiply(X5,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_43) ).
fof(f134,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f11,f76,f81]) ).
fof(f11,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| sk_c10 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f133,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f44,f117,f86]) ).
fof(f44,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_41) ).
fof(f132,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f30,f117,f62]) ).
fof(f30,axiom,
( sk_c7 = multiply(sk_c6,sk_c9)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f131,plain,
( spl0_13
| spl0_6 ),
inference(avatar_split_clause,[],[f23,f72,f117]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c9)
| sk_c7 = multiply(sk_c6,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f122,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f4,f76,f53]) ).
fof(f4,axiom,
( sk_c9 = multiply(sk_c4,sk_c10)
| multiply(sk_c1,sk_c10) = sk_c9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f121,plain,
( spl0_12
| spl0_5 ),
inference(avatar_split_clause,[],[f38,f67,f102]) ).
fof(f38,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_35) ).
fof(f113,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f36,f90,f102]) ).
fof(f36,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_33) ).
fof(f109,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f22,f90,f72]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f108,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f45,f86,f67]) ).
fof(f45,axiom,
( sk_c8 = multiply(sk_c3,sk_c9)
| sk_c9 = inverse(sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_42) ).
fof(f106,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f34,f102,f97]) ).
fof(f34,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f105,plain,
( spl0_12
| spl0_3 ),
inference(avatar_split_clause,[],[f35,f58,f102]) ).
fof(f35,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_32) ).
fof(f95,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f29,f62,f90]) ).
fof(f29,axiom,
( sk_c9 = inverse(sk_c2)
| sk_c8 = multiply(sk_c9,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f93,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f43,f90,f86]) ).
fof(f43,axiom,
( sk_c8 = multiply(sk_c9,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_40) ).
fof(f84,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f12,f81,f49]) ).
fof(f12,axiom,
( sk_c10 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f70,plain,
( spl0_4
| spl0_5 ),
inference(avatar_split_clause,[],[f31,f67,f62]) ).
fof(f31,axiom,
( sk_c9 = inverse(sk_c6)
| sk_c9 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f53,f49]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c10) = sk_c9
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP256-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 22:45:45 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (23658)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.49 % (23643)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.49 % (23650)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)
% 0.18/0.50 % (23642)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (23651)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50 % (23630)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)
% 0.18/0.50 % (23634)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)
% 0.18/0.51 % (23644)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)
% 1.29/0.51 % (23635)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)
% 1.29/0.51 % (23659)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)
% 1.29/0.51 % (23650)First to succeed.
% 1.29/0.52 % (23637)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.52 % (23631)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)
% 1.29/0.52 % (23637)Instruction limit reached!
% 1.29/0.52 % (23637)------------------------------
% 1.29/0.52 % (23637)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.52 % (23637)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.52 % (23637)Termination reason: Unknown
% 1.29/0.52 % (23637)Termination phase: Saturation
% 1.29/0.52
% 1.29/0.52 % (23637)Memory used [KB]: 5500
% 1.29/0.52 % (23637)Time elapsed: 0.134 s
% 1.29/0.52 % (23637)Instructions burned: 3 (million)
% 1.29/0.52 % (23637)------------------------------
% 1.29/0.52 % (23637)------------------------------
% 1.29/0.52 % (23632)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)
% 1.29/0.52 % (23657)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)
% 1.29/0.52 % (23645)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)
% 1.29/0.52 % (23653)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)
% 1.29/0.52 % (23646)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)
% 1.29/0.52 % (23654)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.29/0.52 % (23629)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)
% 1.40/0.52 % (23652)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)
% 1.40/0.52 % (23647)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.40/0.53 % (23650)Refutation found. Thanks to Tanya!
% 1.40/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.40/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.40/0.53 % (23650)------------------------------
% 1.40/0.53 % (23650)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.40/0.53 % (23650)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.40/0.53 % (23650)Termination reason: Refutation
% 1.40/0.53
% 1.40/0.53 % (23650)Memory used [KB]: 5756
% 1.40/0.53 % (23650)Time elapsed: 0.131 s
% 1.40/0.53 % (23650)Instructions burned: 17 (million)
% 1.40/0.53 % (23650)------------------------------
% 1.40/0.53 % (23650)------------------------------
% 1.40/0.53 % (23624)Success in time 0.186 s
%------------------------------------------------------------------------------