TSTP Solution File: GRP231-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP231-1 : 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 16:20:58 EDT 2022
% Result : Unsatisfiable 1.56s 0.55s
% Output : Refutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 48
% Syntax : Number of formulae : 230 ( 9 unt; 0 def)
% Number of atoms : 1014 ( 269 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 1539 ( 755 ~; 770 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 83 ( 83 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f635,plain,
$false,
inference(avatar_sat_refutation,[],[f45,f50,f55,f60,f65,f70,f75,f84,f85,f86,f91,f92,f93,f94,f95,f96,f97,f98,f99,f100,f101,f102,f103,f104,f105,f106,f107,f108,f109,f119,f120,f233,f240,f248,f494,f560,f581,f618,f634]) ).
fof(f634,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f633]) ).
fof(f633,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f632]) ).
fof(f632,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f627,f589]) ).
fof(f589,plain,
( ! [X2] : multiply(sk_c8,X2) = X2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f575,f138]) ).
fof(f138,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f137,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f137,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
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(f575,plain,
( ! [X2,X1] : multiply(inverse(X1),multiply(X1,X2)) = multiply(sk_c8,X2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(superposition,[],[f3,f522]) ).
fof(f522,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f2,f518]) ).
fof(f518,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f516,f2]) ).
fof(f516,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f395,f507]) ).
fof(f507,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f506,f314]) ).
fof(f314,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3 ),
inference(forward_demodulation,[],[f311,f49]) ).
fof(f49,plain,
( sk_c8 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_3
<=> sk_c8 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f311,plain,
( sk_c7 = multiply(inverse(sk_c4),sk_c8)
| ~ spl0_1 ),
inference(superposition,[],[f138,f40]) ).
fof(f40,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f38]) ).
fof(f38,plain,
( spl0_1
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f506,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f504,f83]) ).
fof(f83,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_10
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f504,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f138,f503]) ).
fof(f503,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_demodulation,[],[f69,f497]) ).
fof(f497,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f320,f395]) ).
fof(f320,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_6 ),
inference(superposition,[],[f138,f64]) ).
fof(f64,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_6
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f69,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_7
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f395,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f138,f314]) ).
fof(f627,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f624]) ).
fof(f624,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(superposition,[],[f620,f549]) ).
fof(f549,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f83,f524]) ).
fof(f524,plain,
( sk_c8 = sk_c5
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f503,f520]) ).
fof(f520,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f159,f518]) ).
fof(f159,plain,
! [X4] : multiply(X4,identity) = X4,
inference(backward_demodulation,[],[f149,f150]) ).
fof(f150,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f138,f138]) ).
fof(f149,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f138,f2]) ).
fof(f620,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != inverse(X3) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f619,f520]) ).
fof(f619,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f507]) ).
fof(f118,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f117]) ).
fof(f117,plain,
( spl0_14
<=> ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != multiply(inverse(X3),sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f618,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f617]) ).
fof(f617,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f616]) ).
fof(f616,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f615]) ).
fof(f615,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(superposition,[],[f590,f549]) ).
fof(f590,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c8 != X8 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f588,f589]) ).
fof(f588,plain,
( ! [X8] :
( sk_c8 != multiply(sk_c8,X8)
| sk_c8 != inverse(X8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f587,f507]) ).
fof(f587,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,X8)
| sk_c8 != inverse(X8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f520]) ).
fof(f115,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) )
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f114]) ).
fof(f114,plain,
( spl0_13
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f581,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f580]) ).
fof(f580,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f579]) ).
fof(f579,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f578]) ).
fof(f578,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f568,f549]) ).
fof(f568,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c8 != X8 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f567,f507]) ).
fof(f567,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != X8 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f566,f520]) ).
fof(f566,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(X8,sk_c8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f540]) ).
fof(f540,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f539,f535]) ).
fof(f535,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f528,f532]) ).
fof(f532,plain,
( sk_c8 = sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(forward_demodulation,[],[f527,f520]) ).
fof(f527,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f90,f525]) ).
fof(f525,plain,
( sk_c8 = sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f509,f520]) ).
fof(f509,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f54,f507]) ).
fof(f54,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl0_4
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f90,plain,
( sk_c8 = multiply(sk_c1,sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f88]) ).
fof(f88,plain,
( spl0_11
<=> sk_c8 = multiply(sk_c1,sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f528,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_11 ),
inference(backward_demodulation,[],[f132,f525]) ).
fof(f132,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c1,multiply(sk_c2,X0))
| ~ spl0_11 ),
inference(superposition,[],[f3,f90]) ).
fof(f539,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f530,f138]) ).
fof(f530,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(inverse(sk_c8),multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f496,f525]) ).
fof(f496,plain,
( ! [X0] : multiply(inverse(sk_c2),multiply(sk_c8,X0)) = multiply(sk_c8,multiply(sk_c8,X0))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f277,f396]) ).
fof(f396,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_1
| ~ spl0_3 ),
inference(superposition,[],[f3,f314]) ).
fof(f277,plain,
( ! [X0] : multiply(inverse(sk_c2),multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f152]) ).
fof(f152,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_4 ),
inference(superposition,[],[f138,f54]) ).
fof(f560,plain,
( ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f559]) ).
fof(f559,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f558]) ).
fof(f558,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f510,f549]) ).
fof(f510,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f58,f507]) ).
fof(f58,plain,
( inverse(sk_c8) != sk_c7
| spl0_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f57,plain,
( spl0_5
<=> inverse(sk_c8) = sk_c7 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f494,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f493]) ).
fof(f493,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f492]) ).
fof(f492,plain,
( sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f491]) ).
fof(f491,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(superposition,[],[f460,f420]) ).
fof(f420,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f59,f417]) ).
fof(f417,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f416,f314]) ).
fof(f416,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f414,f83]) ).
fof(f414,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f138,f400]) ).
fof(f400,plain,
( sk_c8 = multiply(sk_c5,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7 ),
inference(backward_demodulation,[],[f69,f398]) ).
fof(f398,plain,
( sk_c8 = sk_c6
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f397,f322]) ).
fof(f322,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f320,f59]) ).
fof(f397,plain,
( sk_c8 = multiply(sk_c7,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f395,f59]) ).
fof(f59,plain,
( inverse(sk_c8) = sk_c7
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f57]) ).
fof(f460,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != X5 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f422,f431]) ).
fof(f431,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f159,f428]) ).
fof(f428,plain,
( identity = sk_c8
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(forward_demodulation,[],[f425,f427]) ).
fof(f427,plain,
( identity = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f411,f417]) ).
fof(f411,plain,
( identity = multiply(sk_c8,sk_c7)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(forward_demodulation,[],[f409,f314]) ).
fof(f409,plain,
( identity = multiply(sk_c8,multiply(sk_c8,sk_c8))
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f135,f401]) ).
fof(f401,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c8,X0)) = multiply(sk_c7,X0)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6 ),
inference(backward_demodulation,[],[f321,f398]) ).
fof(f321,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c6,X0)) = multiply(sk_c7,X0)
| ~ spl0_6 ),
inference(superposition,[],[f3,f64]) ).
fof(f135,plain,
( identity = multiply(sk_c7,sk_c8)
| ~ spl0_5 ),
inference(superposition,[],[f2,f59]) ).
fof(f425,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f314,f417]) ).
fof(f422,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_10
| ~ spl0_12 ),
inference(backward_demodulation,[],[f112,f417]) ).
fof(f112,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c7)
| sk_c8 != inverse(X5) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f111]) ).
fof(f111,plain,
( spl0_12
<=> ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f248,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f247]) ).
fof(f247,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f246]) ).
fof(f246,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f245,f196]) ).
fof(f196,plain,
( ! [X1] : multiply(sk_c8,X1) = X1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f193,f189]) ).
fof(f189,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c8,X9)) = multiply(sk_c8,X9)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f164,f183]) ).
fof(f183,plain,
( sk_c8 = sk_c7
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f170,f181]) ).
fof(f181,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_2
| ~ spl0_11 ),
inference(backward_demodulation,[],[f159,f175]) ).
fof(f175,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_11 ),
inference(forward_demodulation,[],[f174,f90]) ).
fof(f174,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_2 ),
inference(superposition,[],[f2,f160]) ).
fof(f160,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f155,f159]) ).
fof(f155,plain,
( sk_c1 = multiply(inverse(sk_c2),identity)
| ~ spl0_2 ),
inference(superposition,[],[f138,f134]) ).
fof(f134,plain,
( identity = multiply(sk_c2,sk_c1)
| ~ spl0_2 ),
inference(superposition,[],[f2,f44]) ).
fof(f44,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f42]) ).
fof(f42,plain,
( spl0_2
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f170,plain,
( sk_c7 = multiply(sk_c8,sk_c8)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f156,f74]) ).
fof(f74,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f156,plain,
( sk_c7 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_9 ),
inference(superposition,[],[f138,f79]) ).
fof(f79,plain,
( sk_c8 = multiply(sk_c3,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f77]) ).
fof(f77,plain,
( spl0_9
<=> sk_c8 = multiply(sk_c3,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f164,plain,
( ! [X9] : multiply(sk_c8,multiply(sk_c8,X9)) = multiply(sk_c7,X9)
| ~ spl0_8
| ~ spl0_9 ),
inference(forward_demodulation,[],[f157,f74]) ).
fof(f157,plain,
( ! [X9] : multiply(inverse(sk_c3),multiply(sk_c8,X9)) = multiply(sk_c7,X9)
| ~ spl0_9 ),
inference(superposition,[],[f138,f128]) ).
fof(f128,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c3,multiply(sk_c7,X0))
| ~ spl0_9 ),
inference(superposition,[],[f3,f79]) ).
fof(f193,plain,
( ! [X1] : multiply(sk_c8,multiply(sk_c8,X1)) = X1
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f168,f189]) ).
fof(f168,plain,
( ! [X1] : multiply(sk_c8,multiply(sk_c8,multiply(sk_c8,X1))) = X1
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f145,f164]) ).
fof(f145,plain,
( ! [X1] : multiply(sk_c7,multiply(sk_c8,X1)) = X1
| ~ spl0_5 ),
inference(superposition,[],[f138,f59]) ).
fof(f245,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f243]) ).
fof(f243,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(superposition,[],[f242,f211]) ).
fof(f211,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f205,f209]) ).
fof(f209,plain,
( sk_c8 = sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f186,f206]) ).
fof(f206,plain,
( inverse(sk_c8) = sk_c1
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f160,f204]) ).
fof(f204,plain,
( sk_c8 = sk_c2
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f90,f202]) ).
fof(f202,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f200,f197]) ).
fof(f197,plain,
( ! [X0] : multiply(sk_c2,X0) = X0
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f194,f196]) ).
fof(f194,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,X0)) = multiply(sk_c8,X0)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f167,f189]) ).
fof(f167,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c8,multiply(sk_c8,X0))) = multiply(sk_c8,X0)
| ~ spl0_4
| ~ spl0_8
| ~ spl0_9 ),
inference(backward_demodulation,[],[f124,f164]) ).
fof(f124,plain,
( ! [X0] : multiply(sk_c2,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f54]) ).
fof(f200,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f132,f196]) ).
fof(f186,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f59,f183]) ).
fof(f205,plain,
( sk_c8 = inverse(sk_c1)
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f44,f204]) ).
fof(f242,plain,
( ! [X3] :
( sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != inverse(X3) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f241,f181]) ).
fof(f241,plain,
( ! [X3] :
( sk_c8 != multiply(inverse(X3),sk_c8)
| sk_c8 != multiply(X3,inverse(X3)) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_14 ),
inference(forward_demodulation,[],[f118,f183]) ).
fof(f240,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f239]) ).
fof(f239,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f238]) ).
fof(f238,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(duplicate_literal_removal,[],[f237]) ).
fof(f237,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(superposition,[],[f236,f211]) ).
fof(f236,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c8 != X8 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f235,f183]) ).
fof(f235,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != X8 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f234,f181]) ).
fof(f234,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(X8,sk_c8) )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_13 ),
inference(forward_demodulation,[],[f115,f196]) ).
fof(f233,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(trivial_inequality_removal,[],[f231]) ).
fof(f231,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f230,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(superposition,[],[f191,f211]) ).
fof(f191,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != X5 )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(forward_demodulation,[],[f188,f181]) ).
fof(f188,plain,
( ! [X5] :
( sk_c8 != multiply(X5,sk_c8)
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_11
| ~ spl0_12 ),
inference(backward_demodulation,[],[f112,f183]) ).
fof(f120,plain,
( spl0_8
| spl0_1 ),
inference(avatar_split_clause,[],[f25,f38,f72]) ).
fof(f25,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f119,plain,
( ~ spl0_5
| spl0_12
| spl0_13
| spl0_14
| spl0_12 ),
inference(avatar_split_clause,[],[f36,f111,f117,f114,f111,f57]) ).
fof(f36,plain,
! [X3,X8,X6,X5] :
( sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X6)
| sk_c8 != multiply(X3,inverse(X3))
| sk_c8 != inverse(X8)
| sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ),
inference(equality_resolution,[],[f35]) ).
fof(f35,plain,
! [X3,X8,X6,X7,X5] :
( sk_c8 != inverse(X6)
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(inverse(X3),sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(X3,inverse(X3))
| multiply(X8,sk_c8) != X7 ),
inference(equality_resolution,[],[f34]) ).
fof(f34,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != inverse(X6)
| inverse(X3) != X4
| sk_c8 != inverse(X5)
| sk_c7 != multiply(sk_c8,X7)
| sk_c8 != multiply(X4,sk_c7)
| inverse(sk_c8) != sk_c7
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != multiply(X5,sk_c7)
| sk_c8 != multiply(X3,X4)
| multiply(X8,sk_c8) != X7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_31) ).
fof(f109,plain,
( spl0_6
| spl0_8 ),
inference(avatar_split_clause,[],[f26,f72,f62]) ).
fof(f26,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f108,plain,
( spl0_4
| spl0_1 ),
inference(avatar_split_clause,[],[f20,f38,f52]) ).
fof(f20,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f107,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f8,f81,f57]) ).
fof(f8,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f106,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f31,f77,f62]) ).
fof(f31,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_28) ).
fof(f105,plain,
( spl0_9
| spl0_7 ),
inference(avatar_split_clause,[],[f32,f67,f77]) ).
fof(f32,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_29) ).
fof(f104,plain,
( spl0_11
| spl0_10 ),
inference(avatar_split_clause,[],[f13,f81,f88]) ).
fof(f13,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c1,sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f103,plain,
( spl0_9
| spl0_1 ),
inference(avatar_split_clause,[],[f30,f38,f77]) ).
fof(f30,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_27) ).
fof(f102,plain,
( spl0_2
| spl0_10 ),
inference(avatar_split_clause,[],[f18,f81,f42]) ).
fof(f18,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f101,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f6,f62,f57]) ).
fof(f6,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_3) ).
fof(f100,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f12,f88,f67]) ).
fof(f12,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f99,plain,
( spl0_3
| spl0_8 ),
inference(avatar_split_clause,[],[f24,f72,f47]) ).
fof(f24,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f98,plain,
( spl0_8
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f81,f72]) ).
fof(f28,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f97,plain,
( spl0_7
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f42,f67]) ).
fof(f17,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f96,plain,
( spl0_3
| spl0_9 ),
inference(avatar_split_clause,[],[f29,f77,f47]) ).
fof(f29,axiom,
( sk_c8 = multiply(sk_c3,sk_c7)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f95,plain,
( spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f10,f88,f38]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f94,plain,
( spl0_6
| spl0_11 ),
inference(avatar_split_clause,[],[f11,f88,f62]) ).
fof(f11,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f93,plain,
( spl0_2
| spl0_6 ),
inference(avatar_split_clause,[],[f16,f62,f42]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f92,plain,
( spl0_10
| spl0_4 ),
inference(avatar_split_clause,[],[f23,f52,f81]) ).
fof(f23,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
fof(f91,plain,
( spl0_3
| spl0_11 ),
inference(avatar_split_clause,[],[f9,f88,f47]) ).
fof(f9,axiom,
( sk_c8 = multiply(sk_c1,sk_c2)
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f86,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f5,f38,f57]) ).
fof(f5,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| inverse(sk_c8) = sk_c7 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_2) ).
fof(f85,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f7,f57,f67]) ).
fof(f7,axiom,
( inverse(sk_c8) = sk_c7
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f84,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f33,f81,f77]) ).
fof(f33,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c3,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_30) ).
fof(f75,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f27,f72,f67]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c3)
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f70,plain,
( spl0_4
| spl0_7 ),
inference(avatar_split_clause,[],[f22,f67,f52]) ).
fof(f22,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f65,plain,
( spl0_6
| spl0_4 ),
inference(avatar_split_clause,[],[f21,f52,f62]) ).
fof(f21,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f60,plain,
( spl0_3
| spl0_5 ),
inference(avatar_split_clause,[],[f4,f57,f47]) ).
fof(f4,axiom,
( inverse(sk_c8) = sk_c7
| sk_c8 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f55,plain,
( spl0_4
| spl0_3 ),
inference(avatar_split_clause,[],[f19,f47,f52]) ).
fof(f19,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f50,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f14,f47,f42]) ).
fof(f14,axiom,
( sk_c8 = inverse(sk_c4)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f45,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f15,f42,f38]) ).
fof(f15,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP231-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:44:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (18270)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)
% 0.20/0.50 % (18263)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)
% 0.20/0.50 % (18282)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.51 % (18290)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)
% 0.20/0.51 % (18285)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.38/0.52 % (18265)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.38/0.52 % (18271)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.38/0.53 % (18283)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)
% 1.38/0.53 % (18275)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)
% 1.38/0.53 % (18280)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)
% 1.38/0.53 % (18262)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)
% 1.38/0.53 % (18266)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.38/0.54 % (18267)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)
% 1.38/0.54 % (18263)Instruction limit reached!
% 1.38/0.54 % (18263)------------------------------
% 1.38/0.54 % (18263)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.38/0.54 % (18279)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.38/0.54 % (18290)First to succeed.
% 1.38/0.54 % (18268)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.38/0.54 % (18261)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)
% 1.56/0.54 TRYING [1]
% 1.56/0.54 TRYING [2]
% 1.56/0.54 % (18274)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.56/0.54 % (18264)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)
% 1.56/0.54 % (18273)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.56/0.54 TRYING [3]
% 1.56/0.55 % (18288)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)
% 1.56/0.55 % (18263)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (18263)Termination reason: Unknown
% 1.56/0.55 % (18263)Termination phase: Saturation
% 1.56/0.55
% 1.56/0.55 % (18263)Memory used [KB]: 1151
% 1.56/0.55 % (18263)Time elapsed: 0.123 s
% 1.56/0.55 % (18263)Instructions burned: 37 (million)
% 1.56/0.55 % (18263)------------------------------
% 1.56/0.55 % (18263)------------------------------
% 1.56/0.55 % (18282)Also succeeded, but the first one will report.
% 1.56/0.55 % (18290)Refutation found. Thanks to Tanya!
% 1.56/0.55 % SZS status Unsatisfiable for theBenchmark
% 1.56/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 1.56/0.55 % (18290)------------------------------
% 1.56/0.55 % (18290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.56/0.55 % (18290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.56/0.55 % (18290)Termination reason: Refutation
% 1.56/0.55
% 1.56/0.55 % (18290)Memory used [KB]: 5756
% 1.56/0.55 % (18290)Time elapsed: 0.143 s
% 1.56/0.55 % (18290)Instructions burned: 20 (million)
% 1.56/0.55 % (18290)------------------------------
% 1.56/0.55 % (18290)------------------------------
% 1.56/0.55 % (18260)Success in time 0.204 s
%------------------------------------------------------------------------------