TSTP Solution File: GRP278-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP278-1 : 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 : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:08 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 41
% Syntax : Number of formulae : 222 ( 7 unt; 0 def)
% Number of atoms : 913 ( 246 equ)
% Maximal formula atoms : 9 ( 4 avg)
% Number of connectives : 1373 ( 682 ~; 674 |; 0 &)
% ( 17 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 18 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 59 ( 59 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f580,plain,
$false,
inference(avatar_sat_refutation,[],[f36,f45,f54,f55,f60,f69,f74,f75,f76,f77,f82,f83,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f104,f188,f203,f215,f227,f270,f418,f484,f495,f519,f561,f579]) ).
fof(f579,plain,
( ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f578]) ).
fof(f578,plain,
( $false
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f577]) ).
fof(f577,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[],[f574,f505]) ).
fof(f505,plain,
( identity = inverse(identity)
| ~ spl2_3
| ~ spl2_16 ),
inference(backward_demodulation,[],[f498,f504]) ).
fof(f504,plain,
( identity = sk_c3
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f500,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f500,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl2_3
| ~ spl2_16 ),
inference(backward_demodulation,[],[f281,f267]) ).
fof(f267,plain,
( identity = sk_c5
| ~ spl2_16 ),
inference(avatar_component_clause,[],[f266]) ).
fof(f266,plain,
( spl2_16
<=> identity = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_16])]) ).
fof(f281,plain,
( sk_c3 = multiply(inverse(sk_c5),identity)
| ~ spl2_3 ),
inference(superposition,[],[f114,f229]) ).
fof(f229,plain,
( identity = multiply(sk_c5,sk_c3)
| ~ spl2_3 ),
inference(superposition,[],[f2,f40]) ).
fof(f40,plain,
( sk_c5 = inverse(sk_c3)
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl2_3
<=> sk_c5 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_3])]) ).
fof(f114,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f109,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f109,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/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f498,plain,
( identity = inverse(sk_c3)
| ~ spl2_3
| ~ spl2_16 ),
inference(backward_demodulation,[],[f40,f267]) ).
fof(f574,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f567]) ).
fof(f567,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(superposition,[],[f564,f1]) ).
fof(f564,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f563,f403]) ).
fof(f403,plain,
( identity = sk_c6
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f348,f2]) ).
fof(f348,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f321,f326]) ).
fof(f326,plain,
( sk_c6 = sk_c5
| ~ spl2_3
| ~ spl2_7
| ~ spl2_9 ),
inference(forward_demodulation,[],[f324,f244]) ).
fof(f244,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c4)
| ~ spl2_9 ),
inference(superposition,[],[f114,f68]) ).
fof(f68,plain,
( multiply(sk_c5,sk_c6) = sk_c4
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl2_9
<=> multiply(sk_c5,sk_c6) = sk_c4 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_9])]) ).
fof(f324,plain,
( sk_c5 = multiply(inverse(sk_c5),sk_c4)
| ~ spl2_3
| ~ spl2_7 ),
inference(superposition,[],[f114,f243]) ).
fof(f243,plain,
( sk_c4 = multiply(sk_c5,sk_c5)
| ~ spl2_3
| ~ spl2_7 ),
inference(forward_demodulation,[],[f241,f40]) ).
fof(f241,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c5)
| ~ spl2_7 ),
inference(superposition,[],[f114,f59]) ).
fof(f59,plain,
( sk_c5 = multiply(sk_c3,sk_c4)
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl2_7
<=> sk_c5 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_7])]) ).
fof(f321,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl2_6
| ~ spl2_11 ),
inference(superposition,[],[f114,f240]) ).
fof(f240,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl2_6
| ~ spl2_11 ),
inference(forward_demodulation,[],[f238,f81]) ).
fof(f81,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f79]) ).
fof(f79,plain,
( spl2_11
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_11])]) ).
fof(f238,plain,
( sk_c5 = multiply(inverse(sk_c2),sk_c6)
| ~ spl2_6 ),
inference(superposition,[],[f114,f53]) ).
fof(f53,plain,
( sk_c6 = multiply(sk_c2,sk_c5)
| ~ spl2_6 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f51,plain,
( spl2_6
<=> sk_c6 = multiply(sk_c2,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_6])]) ).
fof(f563,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl2_1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f562,f403]) ).
fof(f562,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl2_1
| ~ spl2_16 ),
inference(forward_demodulation,[],[f31,f267]) ).
fof(f31,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f30]) ).
fof(f30,plain,
( spl2_1
<=> ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_1])]) ).
fof(f561,plain,
( ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(avatar_contradiction_clause,[],[f560]) ).
fof(f560,plain,
( $false
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f559]) ).
fof(f559,plain,
( identity != identity
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(superposition,[],[f558,f505]) ).
fof(f558,plain,
( identity != inverse(identity)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(forward_demodulation,[],[f556,f505]) ).
fof(f556,plain,
( identity != inverse(inverse(identity))
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(trivial_inequality_removal,[],[f553]) ).
fof(f553,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(superposition,[],[f522,f2]) ).
fof(f522,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13
| ~ spl2_16 ),
inference(forward_demodulation,[],[f521,f267]) ).
fof(f521,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c5 != multiply(X3,identity) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f520,f403]) ).
fof(f520,plain,
( ! [X3] :
( identity != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11
| ~ spl2_13 ),
inference(forward_demodulation,[],[f90,f403]) ).
fof(f90,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,sk_c6) )
| ~ spl2_13 ),
inference(avatar_component_clause,[],[f89]) ).
fof(f89,plain,
( spl2_13
<=> ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_13])]) ).
fof(f519,plain,
( ~ spl2_3
| spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f518]) ).
fof(f518,plain,
( $false
| ~ spl2_3
| spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f517]) ).
fof(f517,plain,
( identity != identity
| ~ spl2_3
| spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(superposition,[],[f472,f1]) ).
fof(f472,plain,
( identity != multiply(identity,identity)
| ~ spl2_3
| spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f471,f403]) ).
fof(f471,plain,
( sk_c6 != multiply(sk_c6,identity)
| ~ spl2_3
| spl2_4
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f327,f451]) ).
fof(f451,plain,
( identity = sk_c4
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f450,f1]) ).
fof(f450,plain,
( sk_c4 = multiply(identity,identity)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f330,f403]) ).
fof(f330,plain,
( sk_c4 = multiply(sk_c6,sk_c6)
| ~ spl2_3
| ~ spl2_7
| ~ spl2_9 ),
inference(backward_demodulation,[],[f68,f326]) ).
fof(f327,plain,
( sk_c6 != multiply(sk_c6,sk_c4)
| ~ spl2_3
| spl2_4
| ~ spl2_7
| ~ spl2_9 ),
inference(backward_demodulation,[],[f43,f326]) ).
fof(f43,plain,
( sk_c5 != multiply(sk_c6,sk_c4)
| spl2_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl2_4
<=> sk_c5 = multiply(sk_c6,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_4])]) ).
fof(f495,plain,
( spl2_16
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(avatar_split_clause,[],[f494,f79,f66,f57,f51,f38,f266]) ).
fof(f494,plain,
( identity = sk_c5
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f326,f403]) ).
fof(f484,plain,
( ~ spl2_16
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(avatar_split_clause,[],[f483,f266,f79,f66,f62,f57,f51,f38,f266]) ).
fof(f62,plain,
( spl2_8
<=> sk_c5 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_8])]) ).
fof(f483,plain,
( identity != sk_c5
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| spl2_8
| ~ spl2_9
| ~ spl2_11
| ~ spl2_16 ),
inference(forward_demodulation,[],[f482,f422]) ).
fof(f422,plain,
( identity = inverse(identity)
| ~ spl2_3
| ~ spl2_16 ),
inference(backward_demodulation,[],[f419,f421]) ).
fof(f421,plain,
( identity = sk_c3
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f420,f2]) ).
fof(f420,plain,
( sk_c3 = multiply(inverse(identity),identity)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f281,f267]) ).
fof(f419,plain,
( identity = inverse(sk_c3)
| ~ spl2_3
| ~ spl2_16 ),
inference(forward_demodulation,[],[f40,f267]) ).
fof(f482,plain,
( sk_c5 != inverse(identity)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f63,f451]) ).
fof(f63,plain,
( sk_c5 != inverse(sk_c4)
| spl2_8 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f418,plain,
( ~ spl2_3
| spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(avatar_contradiction_clause,[],[f417]) ).
fof(f417,plain,
( $false
| ~ spl2_3
| spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(trivial_inequality_removal,[],[f416]) ).
fof(f416,plain,
( identity != identity
| ~ spl2_3
| spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(superposition,[],[f381,f1]) ).
fof(f381,plain,
( identity != multiply(identity,identity)
| ~ spl2_3
| spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f372,f376]) ).
fof(f376,plain,
( identity = sk_c1
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(forward_demodulation,[],[f370,f2]) ).
fof(f370,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_10
| ~ spl2_11 ),
inference(backward_demodulation,[],[f129,f367]) ).
fof(f367,plain,
( identity = sk_c6
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f363,f2]) ).
fof(f363,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f337,f360]) ).
fof(f360,plain,
( sk_c6 = sk_c4
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f323,f356]) ).
fof(f356,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f351,f354]) ).
fof(f354,plain,
( ! [X0] : multiply(sk_c6,X0) = X0
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f349,f353]) ).
fof(f353,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = X0
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f332,f351]) ).
fof(f332,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c4,X0)) = X0
| ~ spl2_3
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9 ),
inference(backward_demodulation,[],[f116,f326]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c5,multiply(sk_c4,X0)) = X0
| ~ spl2_8 ),
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c5,multiply(sk_c4,X0))
| ~ spl2_8 ),
inference(superposition,[],[f3,f105]) ).
fof(f105,plain,
( identity = multiply(sk_c5,sk_c4)
| ~ spl2_8 ),
inference(superposition,[],[f2,f64]) ).
fof(f64,plain,
( sk_c5 = inverse(sk_c4)
| ~ spl2_8 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f349,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c6,X0)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f322,f326]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c5,X0)
| ~ spl2_6
| ~ spl2_11 ),
inference(superposition,[],[f3,f240]) ).
fof(f351,plain,
( ! [X0] : multiply(sk_c6,X0) = multiply(sk_c4,X0)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f338,f349]) ).
fof(f338,plain,
( ! [X0] : multiply(sk_c6,multiply(sk_c6,X0)) = multiply(sk_c4,X0)
| ~ spl2_3
| ~ spl2_7
| ~ spl2_9 ),
inference(backward_demodulation,[],[f245,f326]) ).
fof(f245,plain,
( ! [X0] : multiply(sk_c4,X0) = multiply(sk_c5,multiply(sk_c6,X0))
| ~ spl2_9 ),
inference(superposition,[],[f3,f68]) ).
fof(f323,plain,
( sk_c4 = multiply(sk_c4,sk_c6)
| ~ spl2_3
| ~ spl2_6
| ~ spl2_7
| ~ spl2_9
| ~ spl2_11 ),
inference(forward_demodulation,[],[f320,f243]) ).
fof(f320,plain,
( multiply(sk_c4,sk_c6) = multiply(sk_c5,sk_c5)
| ~ spl2_6
| ~ spl2_9
| ~ spl2_11 ),
inference(superposition,[],[f245,f240]) ).
fof(f337,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c4)
| ~ spl2_3
| ~ spl2_7
| ~ spl2_9 ),
inference(backward_demodulation,[],[f244,f326]) ).
fof(f129,plain,
( sk_c1 = multiply(inverse(sk_c6),identity)
| ~ spl2_10 ),
inference(superposition,[],[f114,f106]) ).
fof(f106,plain,
( identity = multiply(sk_c6,sk_c1)
| ~ spl2_10 ),
inference(superposition,[],[f2,f73]) ).
fof(f73,plain,
( sk_c6 = inverse(sk_c1)
| ~ spl2_10 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl2_10
<=> sk_c6 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_10])]) ).
fof(f372,plain,
( identity != multiply(sk_c1,identity)
| ~ spl2_3
| spl2_5
| ~ spl2_6
| ~ spl2_7
| ~ spl2_8
| ~ spl2_9
| ~ spl2_11 ),
inference(backward_demodulation,[],[f328,f367]) ).
fof(f328,plain,
( sk_c6 != multiply(sk_c1,sk_c6)
| ~ spl2_3
| spl2_5
| ~ spl2_7
| ~ spl2_9 ),
inference(backward_demodulation,[],[f48,f326]) ).
fof(f48,plain,
( multiply(sk_c1,sk_c6) != sk_c5
| spl2_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl2_5
<=> multiply(sk_c1,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_5])]) ).
fof(f270,plain,
( ~ spl2_3
| ~ spl2_7
| ~ spl2_14 ),
inference(avatar_split_clause,[],[f259,f102,f57,f38]) ).
fof(f102,plain,
( spl2_14
<=> ! [X5] :
( sk_c5 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl2_14])]) ).
fof(f259,plain,
( sk_c5 != inverse(sk_c3)
| ~ spl2_7
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f257]) ).
fof(f257,plain,
( sk_c5 != sk_c5
| sk_c5 != inverse(sk_c3)
| ~ spl2_7
| ~ spl2_14 ),
inference(superposition,[],[f103,f59]) ).
fof(f103,plain,
( ! [X5] :
( sk_c5 != multiply(X5,sk_c4)
| sk_c5 != inverse(X5) )
| ~ spl2_14 ),
inference(avatar_component_clause,[],[f102]) ).
fof(f227,plain,
( ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f226]) ).
fof(f226,plain,
( $false
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f225]) ).
fof(f225,plain,
( identity != identity
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(superposition,[],[f224,f161]) ).
fof(f161,plain,
( identity = inverse(identity)
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(backward_demodulation,[],[f154,f159]) ).
fof(f159,plain,
( identity = sk_c1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f157,f2]) ).
fof(f157,plain,
( sk_c1 = multiply(inverse(identity),identity)
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(backward_demodulation,[],[f129,f153]) ).
fof(f153,plain,
( identity = sk_c6
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(backward_demodulation,[],[f149,f152]) ).
fof(f152,plain,
( ! [X9] : multiply(sk_c6,X9) = X9
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f151,f150]) ).
fof(f150,plain,
( ! [X7] : multiply(sk_c4,X7) = X7
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f148,f123]) ).
fof(f123,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f114,f1]) ).
fof(f148,plain,
( ! [X7] : multiply(inverse(identity),X7) = multiply(sk_c4,X7)
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(backward_demodulation,[],[f131,f137]) ).
fof(f137,plain,
( identity = sk_c5
| ~ spl2_5
| ~ spl2_10 ),
inference(forward_demodulation,[],[f135,f2]) ).
fof(f135,plain,
( sk_c5 = multiply(inverse(sk_c6),sk_c6)
| ~ spl2_5
| ~ spl2_10 ),
inference(superposition,[],[f114,f133]) ).
fof(f133,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl2_5
| ~ spl2_10 ),
inference(forward_demodulation,[],[f127,f73]) ).
fof(f127,plain,
( sk_c6 = multiply(inverse(sk_c1),sk_c5)
| ~ spl2_5 ),
inference(superposition,[],[f114,f49]) ).
fof(f49,plain,
( multiply(sk_c1,sk_c6) = sk_c5
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f131,plain,
( ! [X7] : multiply(inverse(sk_c5),X7) = multiply(sk_c4,X7)
| ~ spl2_8 ),
inference(superposition,[],[f114,f116]) ).
fof(f151,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c4,X9)) = X9
| ~ spl2_4
| ~ spl2_5
| ~ spl2_10 ),
inference(forward_demodulation,[],[f144,f1]) ).
fof(f144,plain,
( ! [X9] : multiply(sk_c6,multiply(sk_c4,X9)) = multiply(identity,X9)
| ~ spl2_4
| ~ spl2_5
| ~ spl2_10 ),
inference(backward_demodulation,[],[f111,f137]) ).
fof(f111,plain,
( ! [X9] : multiply(sk_c5,X9) = multiply(sk_c6,multiply(sk_c4,X9))
| ~ spl2_4 ),
inference(superposition,[],[f3,f44]) ).
fof(f44,plain,
( sk_c5 = multiply(sk_c6,sk_c4)
| ~ spl2_4 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f149,plain,
( sk_c6 = multiply(sk_c6,identity)
| ~ spl2_5
| ~ spl2_10 ),
inference(backward_demodulation,[],[f133,f137]) ).
fof(f154,plain,
( identity = inverse(sk_c1)
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(backward_demodulation,[],[f73,f153]) ).
fof(f224,plain,
( identity != inverse(identity)
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f223,f161]) ).
fof(f223,plain,
( identity != inverse(inverse(identity))
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f221]) ).
fof(f221,plain,
( identity != identity
| identity != inverse(inverse(identity))
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(superposition,[],[f218,f2]) ).
fof(f218,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f217,f153]) ).
fof(f217,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl2_1
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f216,f153]) ).
fof(f216,plain,
( ! [X4] :
( sk_c6 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl2_1
| ~ spl2_5
| ~ spl2_10 ),
inference(forward_demodulation,[],[f31,f137]) ).
fof(f215,plain,
( ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(avatar_contradiction_clause,[],[f214]) ).
fof(f214,plain,
( $false
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f213]) ).
fof(f213,plain,
( identity != identity
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(superposition,[],[f211,f161]) ).
fof(f211,plain,
( identity != inverse(identity)
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(trivial_inequality_removal,[],[f207]) ).
fof(f207,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(superposition,[],[f206,f1]) ).
fof(f206,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f205,f137]) ).
fof(f205,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c5 != multiply(X5,identity) )
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f204,f137]) ).
fof(f204,plain,
( ! [X5] :
( sk_c5 != inverse(X5)
| sk_c5 != multiply(X5,identity) )
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_14 ),
inference(forward_demodulation,[],[f103,f170]) ).
fof(f170,plain,
( identity = sk_c4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(forward_demodulation,[],[f147,f2]) ).
fof(f147,plain,
( sk_c4 = multiply(inverse(identity),identity)
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10 ),
inference(backward_demodulation,[],[f130,f137]) ).
fof(f130,plain,
( sk_c4 = multiply(inverse(sk_c5),identity)
| ~ spl2_8 ),
inference(superposition,[],[f114,f105]) ).
fof(f203,plain,
( ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(avatar_contradiction_clause,[],[f202]) ).
fof(f202,plain,
( $false
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f201]) ).
fof(f201,plain,
( identity != identity
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(superposition,[],[f199,f161]) ).
fof(f199,plain,
( identity != inverse(identity)
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(trivial_inequality_removal,[],[f195]) ).
fof(f195,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(superposition,[],[f194,f1]) ).
fof(f194,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f193,f137]) ).
fof(f193,plain,
( ! [X3] :
( sk_c5 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f192,f153]) ).
fof(f192,plain,
( ! [X3] :
( sk_c6 != inverse(X3)
| sk_c5 != multiply(X3,identity) )
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| ~ spl2_10
| ~ spl2_13 ),
inference(forward_demodulation,[],[f90,f153]) ).
fof(f188,plain,
( ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| spl2_9
| ~ spl2_10 ),
inference(avatar_contradiction_clause,[],[f187]) ).
fof(f187,plain,
( $false
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| spl2_9
| ~ spl2_10 ),
inference(trivial_inequality_removal,[],[f186]) ).
fof(f186,plain,
( identity != identity
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| spl2_9
| ~ spl2_10 ),
inference(superposition,[],[f169,f170]) ).
fof(f169,plain,
( identity != sk_c4
| ~ spl2_4
| ~ spl2_5
| ~ spl2_8
| spl2_9
| ~ spl2_10 ),
inference(forward_demodulation,[],[f168,f153]) ).
fof(f168,plain,
( sk_c6 != sk_c4
| ~ spl2_5
| spl2_9
| ~ spl2_10 ),
inference(forward_demodulation,[],[f141,f1]) ).
fof(f141,plain,
( sk_c4 != multiply(identity,sk_c6)
| ~ spl2_5
| spl2_9
| ~ spl2_10 ),
inference(backward_demodulation,[],[f67,f137]) ).
fof(f67,plain,
( multiply(sk_c5,sk_c6) != sk_c4
| spl2_9 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f104,plain,
( ~ spl2_8
| spl2_14
| ~ spl2_2
| ~ spl2_12
| ~ spl2_4
| ~ spl2_9 ),
inference(avatar_split_clause,[],[f28,f66,f42,f85,f33,f102,f62]) ).
fof(f33,plain,
( spl2_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_2])]) ).
fof(f85,plain,
( spl2_12
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl2_12])]) ).
fof(f28,plain,
! [X5] :
( multiply(sk_c5,sk_c6) != sk_c4
| sk_c5 != multiply(sk_c6,sk_c4)
| ~ sP0
| ~ sP1
| sk_c5 != inverse(X5)
| sk_c5 != multiply(X5,sk_c4)
| sk_c5 != inverse(sk_c4) ),
inference(general_splitting,[],[f26,f27_D]) ).
fof(f27,plain,
! [X4] :
( sP1
| sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) ),
inference(cnf_transformation,[],[f27_D]) ).
fof(f27_D,plain,
( ! [X4] :
( sk_c6 != multiply(X4,sk_c5)
| sk_c6 != inverse(X4) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f26,plain,
! [X4,X5] :
( sk_c6 != inverse(X4)
| sk_c5 != inverse(sk_c4)
| multiply(sk_c5,sk_c6) != sk_c4
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4)
| ~ sP0 ),
inference(general_splitting,[],[f24,f25_D]) ).
fof(f25,plain,
! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3)
| sP0 ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
( ! [X3] :
( sk_c5 != multiply(X3,sk_c6)
| sk_c6 != inverse(X3) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f24,axiom,
! [X3,X4,X5] :
( sk_c6 != inverse(X4)
| sk_c5 != inverse(sk_c4)
| sk_c6 != inverse(X3)
| multiply(sk_c5,sk_c6) != sk_c4
| sk_c5 != multiply(X3,sk_c6)
| sk_c5 != inverse(X5)
| sk_c6 != multiply(X4,sk_c5)
| sk_c5 != multiply(sk_c6,sk_c4)
| sk_c5 != multiply(X5,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f100,plain,
( spl2_7
| spl2_4 ),
inference(avatar_split_clause,[],[f23,f42,f57]) ).
fof(f23,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f99,plain,
( spl2_4
| spl2_9 ),
inference(avatar_split_clause,[],[f19,f66,f42]) ).
fof(f19,axiom,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f98,plain,
( spl2_6
| spl2_4 ),
inference(avatar_split_clause,[],[f21,f42,f51]) ).
fof(f21,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f97,plain,
( spl2_4
| spl2_11 ),
inference(avatar_split_clause,[],[f20,f79,f42]) ).
fof(f20,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = multiply(sk_c6,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f96,plain,
( spl2_10
| spl2_11 ),
inference(avatar_split_clause,[],[f10,f79,f71]) ).
fof(f10,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f95,plain,
( spl2_8
| spl2_11 ),
inference(avatar_split_clause,[],[f15,f79,f62]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f94,plain,
( spl2_10
| spl2_9 ),
inference(avatar_split_clause,[],[f9,f66,f71]) ).
fof(f9,axiom,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f93,plain,
( spl2_10
| spl2_3 ),
inference(avatar_split_clause,[],[f12,f38,f71]) ).
fof(f12,axiom,
( sk_c5 = inverse(sk_c3)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f92,plain,
( spl2_3
| spl2_8 ),
inference(avatar_split_clause,[],[f17,f62,f38]) ).
fof(f17,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f91,plain,
( spl2_12
| spl2_13 ),
inference(avatar_split_clause,[],[f25,f89,f85]) ).
fof(f83,plain,
( spl2_7
| spl2_10 ),
inference(avatar_split_clause,[],[f13,f71,f57]) ).
fof(f13,axiom,
( sk_c6 = inverse(sk_c1)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f82,plain,
( spl2_11
| spl2_5 ),
inference(avatar_split_clause,[],[f5,f47,f79]) ).
fof(f5,axiom,
( multiply(sk_c1,sk_c6) = sk_c5
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f77,plain,
( spl2_6
| spl2_8 ),
inference(avatar_split_clause,[],[f16,f62,f51]) ).
fof(f16,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c6 = multiply(sk_c2,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f76,plain,
( spl2_5
| spl2_9 ),
inference(avatar_split_clause,[],[f4,f66,f47]) ).
fof(f4,axiom,
( multiply(sk_c5,sk_c6) = sk_c4
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f75,plain,
( spl2_7
| spl2_8 ),
inference(avatar_split_clause,[],[f18,f62,f57]) ).
fof(f18,axiom,
( sk_c5 = inverse(sk_c4)
| sk_c5 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f74,plain,
( spl2_10
| spl2_6 ),
inference(avatar_split_clause,[],[f11,f51,f71]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| sk_c6 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f69,plain,
( spl2_8
| spl2_9 ),
inference(avatar_split_clause,[],[f14,f66,f62]) ).
fof(f14,axiom,
( multiply(sk_c5,sk_c6) = sk_c4
| sk_c5 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f60,plain,
( spl2_5
| spl2_7 ),
inference(avatar_split_clause,[],[f8,f57,f47]) ).
fof(f8,axiom,
( sk_c5 = multiply(sk_c3,sk_c4)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f55,plain,
( spl2_5
| spl2_3 ),
inference(avatar_split_clause,[],[f7,f38,f47]) ).
fof(f7,axiom,
( sk_c5 = inverse(sk_c3)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f54,plain,
( spl2_5
| spl2_6 ),
inference(avatar_split_clause,[],[f6,f51,f47]) ).
fof(f6,axiom,
( sk_c6 = multiply(sk_c2,sk_c5)
| multiply(sk_c1,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f45,plain,
( spl2_3
| spl2_4 ),
inference(avatar_split_clause,[],[f22,f42,f38]) ).
fof(f22,axiom,
( sk_c5 = multiply(sk_c6,sk_c4)
| sk_c5 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f36,plain,
( spl2_1
| spl2_2 ),
inference(avatar_split_clause,[],[f27,f33,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GRP278-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Aug 29 22:21:05 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.48 % (15877)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.48 % (15871)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.49 % (15879)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.49 % (15890)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)
% 0.20/0.49 % (15869)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)
% 0.20/0.49 % (15882)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)
% 0.20/0.50 % (15881)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)
% 0.20/0.50 % (15880)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.50 % (15874)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.50 % (15875)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.50 % (15875)Instruction limit reached!
% 0.20/0.50 % (15875)------------------------------
% 0.20/0.50 % (15875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (15875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (15875)Termination reason: Unknown
% 0.20/0.50 % (15875)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (15875)Memory used [KB]: 5373
% 0.20/0.50 % (15875)Time elapsed: 0.105 s
% 0.20/0.50 % (15875)Instructions burned: 2 (million)
% 0.20/0.50 % (15875)------------------------------
% 0.20/0.50 % (15875)------------------------------
% 0.20/0.50 % (15870)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)
% 0.20/0.50 % (15873)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)
% 0.20/0.51 % (15885)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.51 % (15889)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)
% 0.20/0.51 % (15887)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)
% 0.20/0.51 % (15895)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.51 TRYING [1]
% 0.20/0.51 TRYING [2]
% 0.20/0.51 % (15877)First to succeed.
% 0.20/0.51 TRYING [3]
% 0.20/0.51 % (15878)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)
% 0.20/0.51 % (15876)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)
% 0.20/0.52 % (15872)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)
% 0.20/0.52 % (15877)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (15877)------------------------------
% 0.20/0.52 % (15877)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (15877)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (15877)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (15877)Memory used [KB]: 5628
% 0.20/0.52 % (15877)Time elapsed: 0.103 s
% 0.20/0.52 % (15877)Instructions burned: 15 (million)
% 0.20/0.52 % (15877)------------------------------
% 0.20/0.52 % (15877)------------------------------
% 0.20/0.52 % (15862)Success in time 0.179 s
%------------------------------------------------------------------------------