TSTP Solution File: GRP255-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP255-1 : 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 : n014.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 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 54
% Syntax : Number of formulae : 268 ( 9 unt; 0 def)
% Number of atoms : 904 ( 269 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 1238 ( 602 ~; 614 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 23 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f854,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f57,f62,f67,f72,f73,f74,f79,f80,f81,f86,f91,f92,f108,f109,f110,f112,f113,f114,f115,f116,f117,f118,f119,f120,f121,f122,f123,f124,f141,f143,f152,f174,f218,f251,f292,f299,f340,f386,f393,f467,f491,f611,f624,f657,f698,f716,f723,f733,f807,f830,f853]) ).
fof(f853,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f852]) ).
fof(f852,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f851,f316]) ).
fof(f316,plain,
identity = inverse(identity),
inference(superposition,[],[f312,f203]) ).
fof(f203,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f188,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f188,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f177,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f177,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,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(f312,plain,
! [X0] : identity = multiply(inverse(inverse(inverse(X0))),X0),
inference(superposition,[],[f188,f203]) ).
fof(f851,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f850,f316]) ).
fof(f850,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f849,f316]) ).
fof(f849,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f840,f316]) ).
fof(f840,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f839]) ).
fof(f839,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| identity != identity
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(superposition,[],[f833,f312]) ).
fof(f833,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f832,f150]) ).
fof(f150,plain,
( identity = sk_c7
| ~ spl0_20 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl0_20
<=> identity = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).
fof(f832,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f831,f693]) ).
fof(f693,plain,
( identity = sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f692,f1]) ).
fof(f692,plain,
( sk_c6 = multiply(identity,identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f660,f682]) ).
fof(f682,plain,
( identity = sk_c2
| ~ spl0_5
| ~ spl0_20 ),
inference(forward_demodulation,[],[f670,f2]) ).
fof(f670,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl0_5
| ~ spl0_20 ),
inference(backward_demodulation,[],[f539,f150]) ).
fof(f539,plain,
( sk_c2 = multiply(inverse(sk_c7),identity)
| ~ spl0_5 ),
inference(superposition,[],[f203,f56]) ).
fof(f56,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_5
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f660,plain,
( sk_c6 = multiply(sk_c2,identity)
| ~ spl0_4
| ~ spl0_20 ),
inference(backward_demodulation,[],[f51,f150]) ).
fof(f51,plain,
( sk_c6 = multiply(sk_c2,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_4
<=> sk_c6 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f831,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c7 != inverse(X4) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f107,f150]) ).
fof(f107,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl0_16
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f830,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f829]) ).
fof(f829,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f828,f316]) ).
fof(f828,plain,
( identity != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f827,f316]) ).
fof(f827,plain,
( identity != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f826,f316]) ).
fof(f826,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f818,f316]) ).
fof(f818,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f816]) ).
fof(f816,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f810,f312]) ).
fof(f810,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f809,f693]) ).
fof(f809,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| sk_c6 != inverse(X5) )
| ~ spl0_4
| ~ spl0_5
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f808,f693]) ).
fof(f808,plain,
( ! [X5] :
( sk_c6 != multiply(X5,identity)
| sk_c6 != inverse(X5) )
| ~ spl0_14
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f101,f696]) ).
fof(f696,plain,
( identity = sk_c8
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f168,f150]) ).
fof(f168,plain,
( sk_c8 = sk_c7
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f167,plain,
( spl0_23
<=> sk_c8 = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).
fof(f101,plain,
( ! [X5] :
( sk_c6 != multiply(X5,sk_c8)
| sk_c6 != inverse(X5) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f100]) ).
fof(f100,plain,
( spl0_14
<=> ! [X5] :
( sk_c6 != inverse(X5)
| sk_c6 != multiply(X5,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f807,plain,
( ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f806]) ).
fof(f806,plain,
( $false
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f805,f316]) ).
fof(f805,plain,
( identity != inverse(identity)
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f804,f316]) ).
fof(f804,plain,
( identity != inverse(inverse(identity))
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f803,f316]) ).
fof(f803,plain,
( identity != inverse(inverse(inverse(identity)))
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f794,f316]) ).
fof(f794,plain,
( identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f793]) ).
fof(f793,plain,
( identity != identity
| identity != inverse(inverse(inverse(inverse(identity))))
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f762,f312]) ).
fof(f762,plain,
( ! [X6] :
( identity != multiply(X6,identity)
| identity != inverse(X6) )
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f761,f696]) ).
fof(f761,plain,
( ! [X6] :
( identity != inverse(X6)
| sk_c8 != multiply(X6,identity) )
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f760,f150]) ).
fof(f760,plain,
( ! [X6] :
( sk_c8 != multiply(X6,sk_c7)
| identity != inverse(X6) )
| ~ spl0_15
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f104,f696]) ).
fof(f104,plain,
( ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl0_15
<=> ! [X6] :
( sk_c8 != inverse(X6)
| sk_c8 != multiply(X6,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f733,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_19
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f732]) ).
fof(f732,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| spl0_19
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f731,f150]) ).
fof(f731,plain,
( identity != sk_c7
| ~ spl0_4
| ~ spl0_5
| spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f730,f316]) ).
fof(f730,plain,
( sk_c7 != inverse(identity)
| ~ spl0_4
| ~ spl0_5
| spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f729,f316]) ).
fof(f729,plain,
( sk_c7 != inverse(inverse(identity))
| ~ spl0_4
| ~ spl0_5
| spl0_19
| ~ spl0_20 ),
inference(forward_demodulation,[],[f147,f693]) ).
fof(f147,plain,
( sk_c7 != inverse(inverse(sk_c6))
| spl0_19 ),
inference(avatar_component_clause,[],[f145]) ).
fof(f145,plain,
( spl0_19
<=> sk_c7 = inverse(inverse(sk_c6)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f723,plain,
( spl0_18
| ~ spl0_20 ),
inference(avatar_contradiction_clause,[],[f722]) ).
fof(f722,plain,
( $false
| spl0_18
| ~ spl0_20 ),
inference(subsumption_resolution,[],[f721,f150]) ).
fof(f721,plain,
( identity != sk_c7
| spl0_18 ),
inference(forward_demodulation,[],[f140,f316]) ).
fof(f140,plain,
( sk_c7 != inverse(identity)
| spl0_18 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl0_18
<=> sk_c7 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f716,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_20
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f715]) ).
fof(f715,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_20
| spl0_24 ),
inference(subsumption_resolution,[],[f714,f496]) ).
fof(f496,plain,
( identity != sk_c8
| spl0_24 ),
inference(forward_demodulation,[],[f173,f316]) ).
fof(f173,plain,
( sk_c8 != inverse(identity)
| spl0_24 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f171,plain,
( spl0_24
<=> sk_c8 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).
fof(f714,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_20 ),
inference(forward_demodulation,[],[f705,f1]) ).
fof(f705,plain,
( sk_c8 = multiply(identity,identity)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_20 ),
inference(backward_demodulation,[],[f635,f693]) ).
fof(f635,plain,
( sk_c8 = multiply(sk_c6,sk_c6)
| ~ spl0_1
| ~ spl0_10 ),
inference(forward_demodulation,[],[f633,f85]) ).
fof(f85,plain,
( sk_c6 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f83]) ).
fof(f83,plain,
( spl0_10
<=> sk_c6 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f633,plain,
( sk_c8 = multiply(inverse(sk_c3),sk_c6)
| ~ spl0_1 ),
inference(superposition,[],[f188,f38]) ).
fof(f38,plain,
( sk_c6 = multiply(sk_c3,sk_c8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_1
<=> sk_c6 = multiply(sk_c3,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f698,plain,
( ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f697,plain,
( $false
| ~ spl0_20
| ~ spl0_23
| spl0_24 ),
inference(subsumption_resolution,[],[f696,f496]) ).
fof(f657,plain,
( ~ spl0_7
| ~ spl0_11
| spl0_20 ),
inference(avatar_contradiction_clause,[],[f656]) ).
fof(f656,plain,
( $false
| ~ spl0_7
| ~ spl0_11
| spl0_20 ),
inference(subsumption_resolution,[],[f655,f151]) ).
fof(f151,plain,
( identity != sk_c7
| spl0_20 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f655,plain,
( identity = sk_c7
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f653,f2]) ).
fof(f653,plain,
( sk_c7 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f188,f573]) ).
fof(f573,plain,
( sk_c8 = multiply(sk_c8,sk_c7)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f571,f90]) ).
fof(f90,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_11
<=> sk_c8 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f571,plain,
( sk_c8 = multiply(inverse(sk_c1),sk_c7)
| ~ spl0_7 ),
inference(superposition,[],[f188,f66]) ).
fof(f66,plain,
( multiply(sk_c1,sk_c8) = sk_c7
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl0_7
<=> multiply(sk_c1,sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f624,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f623]) ).
fof(f623,plain,
( $false
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| spl0_17
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f622,f618]) ).
fof(f618,plain,
( sk_c8 != sk_c6
| spl0_17
| ~ spl0_23 ),
inference(forward_demodulation,[],[f136,f168]) ).
fof(f136,plain,
( sk_c7 != sk_c6
| spl0_17 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f134,plain,
( spl0_17
<=> sk_c7 = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f622,plain,
( sk_c8 = sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11
| ~ spl0_23 ),
inference(backward_demodulation,[],[f617,f586]) ).
fof(f586,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_7
| ~ spl0_23 ),
inference(backward_demodulation,[],[f66,f168]) ).
fof(f617,plain,
( multiply(sk_c1,sk_c8) = sk_c6
| ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_demodulation,[],[f616,f604]) ).
fof(f604,plain,
( sk_c1 = sk_c2
| ~ spl0_5
| ~ spl0_11
| ~ spl0_23 ),
inference(forward_demodulation,[],[f595,f499]) ).
fof(f499,plain,
( sk_c1 = multiply(inverse(sk_c8),identity)
| ~ spl0_11 ),
inference(superposition,[],[f203,f90]) ).
fof(f595,plain,
( sk_c2 = multiply(inverse(sk_c8),identity)
| ~ spl0_5
| ~ spl0_23 ),
inference(backward_demodulation,[],[f539,f168]) ).
fof(f616,plain,
( sk_c6 = multiply(sk_c2,sk_c8)
| ~ spl0_4
| ~ spl0_23 ),
inference(forward_demodulation,[],[f51,f168]) ).
fof(f611,plain,
( ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f610]) ).
fof(f610,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| spl0_6
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f603,f591]) ).
fof(f591,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| spl0_6
| ~ spl0_17
| ~ spl0_23 ),
inference(backward_demodulation,[],[f530,f168]) ).
fof(f530,plain,
( sk_c7 != multiply(sk_c7,sk_c8)
| spl0_6
| ~ spl0_17 ),
inference(forward_demodulation,[],[f60,f135]) ).
fof(f135,plain,
( sk_c7 = sk_c6
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f134]) ).
fof(f60,plain,
( multiply(sk_c7,sk_c8) != sk_c6
| spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f59,plain,
( spl0_6
<=> multiply(sk_c7,sk_c8) = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f603,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17
| ~ spl0_23 ),
inference(backward_demodulation,[],[f579,f168]) ).
fof(f579,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f577,f56]) ).
fof(f577,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c7)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f188,f562]) ).
fof(f562,plain,
( sk_c7 = multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(backward_demodulation,[],[f534,f558]) ).
fof(f558,plain,
( sk_c2 = sk_c3
| ~ spl0_5
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f555,f539]) ).
fof(f555,plain,
( sk_c3 = multiply(inverse(sk_c7),identity)
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f203,f533]) ).
fof(f533,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f85,f135]) ).
fof(f534,plain,
( sk_c7 = multiply(sk_c3,sk_c8)
| ~ spl0_1
| ~ spl0_17 ),
inference(forward_demodulation,[],[f38,f135]) ).
fof(f491,plain,
( spl0_6
| ~ spl0_17
| ~ spl0_20
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f490]) ).
fof(f490,plain,
( $false
| spl0_6
| ~ spl0_17
| ~ spl0_20
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f489,f1]) ).
fof(f489,plain,
( identity != multiply(identity,identity)
| spl0_6
| ~ spl0_17
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f488,f150]) ).
fof(f488,plain,
( identity != multiply(sk_c7,identity)
| spl0_6
| ~ spl0_17
| ~ spl0_20
| ~ spl0_24 ),
inference(forward_demodulation,[],[f389,f461]) ).
fof(f461,plain,
( identity = sk_c8
| ~ spl0_24 ),
inference(backward_demodulation,[],[f172,f316]) ).
fof(f172,plain,
( sk_c8 = inverse(identity)
| ~ spl0_24 ),
inference(avatar_component_clause,[],[f171]) ).
fof(f389,plain,
( identity != multiply(sk_c7,sk_c8)
| spl0_6
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f60,f302]) ).
fof(f302,plain,
( identity = sk_c6
| ~ spl0_17
| ~ spl0_20 ),
inference(backward_demodulation,[],[f135,f150]) ).
fof(f467,plain,
( ~ spl0_20
| spl0_23
| ~ spl0_24 ),
inference(avatar_contradiction_clause,[],[f466]) ).
fof(f466,plain,
( $false
| ~ spl0_20
| spl0_23
| ~ spl0_24 ),
inference(subsumption_resolution,[],[f465,f461]) ).
fof(f465,plain,
( identity != sk_c8
| ~ spl0_20
| spl0_23 ),
inference(forward_demodulation,[],[f169,f150]) ).
fof(f169,plain,
( sk_c8 != sk_c7
| spl0_23 ),
inference(avatar_component_clause,[],[f167]) ).
fof(f393,plain,
( ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f392,plain,
( $false
| ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f391,f1]) ).
fof(f391,plain,
( identity != multiply(identity,identity)
| ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f390,f150]) ).
fof(f390,plain,
( identity != multiply(sk_c7,identity)
| ~ spl0_2
| spl0_6
| ~ spl0_8
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f389,f252]) ).
fof(f252,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f236,f2]) ).
fof(f236,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(backward_demodulation,[],[f207,f168]) ).
fof(f207,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f188,f189]) ).
fof(f189,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_8 ),
inference(superposition,[],[f186,f42]) ).
fof(f42,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f40]) ).
fof(f40,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f186,plain,
( ! [X8] : multiply(sk_c8,multiply(sk_c4,X8)) = X8
| ~ spl0_8 ),
inference(forward_demodulation,[],[f178,f1]) ).
fof(f178,plain,
( ! [X8] : multiply(identity,X8) = multiply(sk_c8,multiply(sk_c4,X8))
| ~ spl0_8 ),
inference(superposition,[],[f3,f125]) ).
fof(f125,plain,
( identity = multiply(sk_c8,sk_c4)
| ~ spl0_8 ),
inference(superposition,[],[f2,f71]) ).
fof(f71,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f69]) ).
fof(f69,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f386,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f385]) ).
fof(f385,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_16
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f373,f283]) ).
fof(f283,plain,
( identity = inverse(identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f253,f276]) ).
fof(f276,plain,
( identity = sk_c4
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(forward_demodulation,[],[f259,f2]) ).
fof(f259,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(backward_demodulation,[],[f205,f252]) ).
fof(f205,plain,
( sk_c4 = multiply(inverse(sk_c8),identity)
| ~ spl0_8 ),
inference(superposition,[],[f188,f125]) ).
fof(f253,plain,
( identity = inverse(sk_c4)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(backward_demodulation,[],[f71,f252]) ).
fof(f373,plain,
( identity != inverse(identity)
| ~ spl0_16
| ~ spl0_17
| ~ spl0_20 ),
inference(trivial_inequality_removal,[],[f368]) ).
fof(f368,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl0_16
| ~ spl0_17
| ~ spl0_20 ),
inference(superposition,[],[f366,f1]) ).
fof(f366,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_16
| ~ spl0_17
| ~ spl0_20 ),
inference(forward_demodulation,[],[f365,f302]) ).
fof(f365,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f364,f150]) ).
fof(f364,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c6 != multiply(X4,identity) )
| ~ spl0_16
| ~ spl0_20 ),
inference(forward_demodulation,[],[f107,f150]) ).
fof(f340,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f338,f283]) ).
fof(f338,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f327,f283]) ).
fof(f327,plain,
( identity != inverse(inverse(identity))
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(trivial_inequality_removal,[],[f324]) ).
fof(f324,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(superposition,[],[f306,f2]) ).
fof(f306,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f305,f302]) ).
fof(f305,plain,
( ! [X5] :
( sk_c6 != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_17
| ~ spl0_20
| ~ spl0_23 ),
inference(forward_demodulation,[],[f304,f302]) ).
fof(f304,plain,
( ! [X5] :
( sk_c6 != inverse(X5)
| sk_c6 != multiply(X5,identity) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_14
| ~ spl0_23 ),
inference(forward_demodulation,[],[f101,f252]) ).
fof(f299,plain,
( ~ spl0_2
| ~ spl0_8
| ~ spl0_23
| spl0_24 ),
inference(avatar_contradiction_clause,[],[f298]) ).
fof(f298,plain,
( $false
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23
| spl0_24 ),
inference(subsumption_resolution,[],[f256,f283]) ).
fof(f256,plain,
( identity != inverse(identity)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23
| spl0_24 ),
inference(backward_demodulation,[],[f173,f252]) ).
fof(f292,plain,
( spl0_20
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(avatar_split_clause,[],[f255,f167,f69,f40,f149]) ).
fof(f255,plain,
( identity = sk_c7
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(backward_demodulation,[],[f168,f252]) ).
fof(f251,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| spl0_17
| ~ spl0_23 ),
inference(avatar_contradiction_clause,[],[f250]) ).
fof(f250,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| spl0_17
| ~ spl0_23 ),
inference(subsumption_resolution,[],[f249,f226]) ).
fof(f226,plain,
( sk_c8 != sk_c6
| spl0_17
| ~ spl0_23 ),
inference(backward_demodulation,[],[f136,f168]) ).
fof(f249,plain,
( sk_c8 = sk_c6
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_23 ),
inference(backward_demodulation,[],[f222,f232]) ).
fof(f232,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_23 ),
inference(backward_demodulation,[],[f189,f168]) ).
fof(f222,plain,
( sk_c6 = multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_23 ),
inference(backward_demodulation,[],[f61,f168]) ).
fof(f61,plain,
( multiply(sk_c7,sk_c8) = sk_c6
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f59]) ).
fof(f218,plain,
( spl0_23
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f217,f76,f59,f45,f167]) ).
fof(f45,plain,
( spl0_3
<=> sk_c7 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f76,plain,
( spl0_9
<=> sk_c7 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f217,plain,
( sk_c8 = sk_c7
| ~ spl0_3
| ~ spl0_6
| ~ spl0_9 ),
inference(forward_demodulation,[],[f210,f209]) ).
fof(f209,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_6 ),
inference(superposition,[],[f188,f61]) ).
fof(f210,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f188,f195]) ).
fof(f195,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_3
| ~ spl0_9 ),
inference(superposition,[],[f187,f47]) ).
fof(f47,plain,
( sk_c7 = multiply(sk_c5,sk_c6)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f187,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c5,X10)) = X10
| ~ spl0_9 ),
inference(forward_demodulation,[],[f180,f1]) ).
fof(f180,plain,
( ! [X10] : multiply(sk_c7,multiply(sk_c5,X10)) = multiply(identity,X10)
| ~ spl0_9 ),
inference(superposition,[],[f3,f126]) ).
fof(f126,plain,
( identity = multiply(sk_c7,sk_c5)
| ~ spl0_9 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c7 = inverse(sk_c5)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f174,plain,
( ~ spl0_23
| ~ spl0_24
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f153,f97,f171,f167]) ).
fof(f97,plain,
( spl0_13
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c7 != multiply(X3,sk_c8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f153,plain,
( sk_c8 != inverse(identity)
| sk_c8 != sk_c7
| ~ spl0_13 ),
inference(superposition,[],[f98,f1]) ).
fof(f98,plain,
( ! [X3] :
( sk_c7 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f152,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f129,f94,f149,f145]) ).
fof(f94,plain,
( spl0_12
<=> ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f129,plain,
( identity != sk_c7
| sk_c7 != inverse(inverse(sk_c6))
| ~ spl0_12 ),
inference(superposition,[],[f95,f2]) ).
fof(f95,plain,
( ! [X7] :
( sk_c7 != multiply(X7,sk_c6)
| sk_c7 != inverse(X7) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f94]) ).
fof(f143,plain,
( ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f142]) ).
fof(f142,plain,
( $false
| ~ spl0_3
| ~ spl0_9
| ~ spl0_12 ),
inference(subsumption_resolution,[],[f132,f78]) ).
fof(f132,plain,
( sk_c7 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f130]) ).
fof(f130,plain,
( sk_c7 != inverse(sk_c5)
| sk_c7 != sk_c7
| ~ spl0_3
| ~ spl0_12 ),
inference(superposition,[],[f95,f47]) ).
fof(f141,plain,
( ~ spl0_17
| ~ spl0_18
| ~ spl0_12 ),
inference(avatar_split_clause,[],[f128,f94,f138,f134]) ).
fof(f128,plain,
( sk_c7 != inverse(identity)
| sk_c7 != sk_c6
| ~ spl0_12 ),
inference(superposition,[],[f95,f1]) ).
fof(f124,plain,
( spl0_8
| spl0_7 ),
inference(avatar_split_clause,[],[f5,f64,f69]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f123,plain,
( spl0_10
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f76,f83]) ).
fof(f27,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f122,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f25,f83,f69]) ).
fof(f25,axiom,
( sk_c6 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f121,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f14,f59,f49]) ).
fof(f14,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f120,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f19,f59,f54]) ).
fof(f19,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f119,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f13,f88,f45]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f118,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f22,f76,f54]) ).
fof(f22,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f117,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f23,f54,f45]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f116,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f16,f40,f49]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f115,plain,
( spl0_4
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f69,f49]) ).
fof(f15,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f114,plain,
( spl0_11
| spl0_9 ),
inference(avatar_split_clause,[],[f12,f76,f88]) ).
fof(f12,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f113,plain,
( spl0_7
| spl0_6 ),
inference(avatar_split_clause,[],[f4,f59,f64]) ).
fof(f4,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f112,plain,
( spl0_10
| spl0_3 ),
inference(avatar_split_clause,[],[f28,f45,f83]) ).
fof(f28,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f110,plain,
( spl0_8
| spl0_11 ),
inference(avatar_split_clause,[],[f10,f88,f69]) ).
fof(f10,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f109,plain,
( spl0_2
| spl0_11 ),
inference(avatar_split_clause,[],[f11,f88,f40]) ).
fof(f11,axiom,
( sk_c8 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f108,plain,
( ~ spl0_6
| spl0_12
| spl0_13
| spl0_14
| spl0_15
| spl0_16 ),
inference(avatar_split_clause,[],[f34,f106,f103,f100,f97,f94,f59]) ).
fof(f34,axiom,
! [X3,X6,X7,X4,X5] :
( sk_c6 != multiply(X4,sk_c7)
| sk_c8 != inverse(X6)
| sk_c6 != inverse(X5)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X6,sk_c7)
| sk_c7 != multiply(X7,sk_c6)
| sk_c7 != multiply(X3,sk_c8)
| sk_c7 != inverse(X4)
| multiply(sk_c7,sk_c8) != sk_c6
| sk_c6 != multiply(X5,sk_c8)
| sk_c7 != inverse(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f92,plain,
( spl0_1
| spl0_9 ),
inference(avatar_split_clause,[],[f32,f76,f36]) ).
fof(f32,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f91,plain,
( spl0_11
| spl0_6 ),
inference(avatar_split_clause,[],[f9,f59,f88]) ).
fof(f9,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c8 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f86,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f24,f83,f59]) ).
fof(f24,axiom,
( sk_c6 = inverse(sk_c3)
| multiply(sk_c7,sk_c8) = sk_c6 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f81,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f6,f64,f40]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f80,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f7,f64,f76]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c8) = sk_c7
| sk_c7 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f79,plain,
( spl0_4
| spl0_9 ),
inference(avatar_split_clause,[],[f17,f76,f49]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c5)
| sk_c6 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f74,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f33,f45,f36]) ).
fof(f33,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f73,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f30,f69,f36]) ).
fof(f30,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f72,plain,
( spl0_8
| spl0_5 ),
inference(avatar_split_clause,[],[f20,f54,f69]) ).
fof(f20,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f67,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f8,f45,f64]) ).
fof(f8,axiom,
( sk_c7 = multiply(sk_c5,sk_c6)
| multiply(sk_c1,sk_c8) = sk_c7 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f62,plain,
( spl0_1
| spl0_6 ),
inference(avatar_split_clause,[],[f29,f59,f36]) ).
fof(f29,axiom,
( multiply(sk_c7,sk_c8) = sk_c6
| sk_c6 = multiply(sk_c3,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f57,plain,
( spl0_2
| spl0_5 ),
inference(avatar_split_clause,[],[f21,f54,f40]) ).
fof(f21,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f52,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f18,f49,f45]) ).
fof(f18,axiom,
( sk_c6 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GRP255-1 : TPTP v8.1.0. Released v2.5.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 22:23:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 % (2337)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)
% 0.19/0.46 % (2328)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)
% 0.19/0.47 % (2319)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)
% 0.19/0.48 % (2314)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)
% 0.19/0.48 % (2320)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.48 TRYING [1]
% 0.19/0.48 TRYING [2]
% 0.19/0.48 TRYING [3]
% 0.19/0.48 % (2339)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.48 % (2336)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)
% 0.19/0.49 % (2327)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)
% 0.19/0.49 % (2338)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.19/0.49 % (2320)Instruction limit reached!
% 0.19/0.49 % (2320)------------------------------
% 0.19/0.49 % (2320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (2320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (2320)Termination reason: Unknown
% 0.19/0.49 % (2320)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (2320)Memory used [KB]: 5628
% 0.19/0.49 % (2320)Time elapsed: 0.083 s
% 0.19/0.49 % (2320)Instructions burned: 9 (million)
% 0.19/0.49 % (2320)------------------------------
% 0.19/0.49 % (2320)------------------------------
% 0.19/0.49 % (2321)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.49 % (2321)Instruction limit reached!
% 0.19/0.49 % (2321)------------------------------
% 0.19/0.49 % (2321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.49 % (2321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.49 % (2321)Termination reason: Unknown
% 0.19/0.49 % (2321)Termination phase: Saturation
% 0.19/0.49
% 0.19/0.49 % (2321)Memory used [KB]: 5373
% 0.19/0.49 % (2321)Time elapsed: 0.108 s
% 0.19/0.49 % (2321)Instructions burned: 2 (million)
% 0.19/0.49 % (2321)------------------------------
% 0.19/0.49 % (2321)------------------------------
% 0.19/0.49 % (2330)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (2317)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (2315)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)
% 0.19/0.50 % (2318)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)
% 0.19/0.50 TRYING [4]
% 0.19/0.50 % (2313)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)
% 0.19/0.51 % (2319)Instruction limit reached!
% 0.19/0.51 % (2319)------------------------------
% 0.19/0.51 % (2319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.51 % (2331)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.51 % (2329)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)
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 TRYING [1]
% 0.19/0.51 TRYING [3]
% 0.19/0.51 TRYING [2]
% 0.19/0.51 % (2334)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)
% 0.19/0.51 % (2332)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)
% 0.19/0.51 % (2322)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)
% 0.19/0.51 TRYING [3]
% 0.19/0.52 % (2340)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)
% 0.19/0.52 % (2342)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.52 % (2341)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)
% 0.19/0.52 % (2316)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)
% 0.19/0.52 % (2343)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)
% 0.19/0.52 % (2319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (2319)Termination reason: Unknown
% 0.19/0.52 % (2319)Termination phase: Finite model building SAT solving
% 0.19/0.52
% 0.19/0.52 % (2319)Memory used [KB]: 6908
% 0.19/0.52 % (2319)Time elapsed: 0.115 s
% 0.19/0.52 % (2319)Instructions burned: 51 (million)
% 0.19/0.52 % (2319)------------------------------
% 0.19/0.52 % (2319)------------------------------
% 0.19/0.52 % (2335)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 % (2324)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)
% 0.19/0.53 % (2314)First to succeed.
% 0.19/0.53 % (2314)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (2314)------------------------------
% 0.19/0.53 % (2314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (2314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (2314)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (2314)Memory used [KB]: 5756
% 0.19/0.53 % (2314)Time elapsed: 0.142 s
% 0.19/0.53 % (2314)Instructions burned: 25 (million)
% 0.19/0.53 % (2314)------------------------------
% 0.19/0.53 % (2314)------------------------------
% 0.19/0.53 % (2311)Success in time 0.186 s
%------------------------------------------------------------------------------