TSTP Solution File: GRP230-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP230-1 : 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 : n027.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 1.79s 0.60s
% Output : Refutation 1.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 36
% Syntax : Number of formulae : 218 ( 9 unt; 0 def)
% Number of atoms : 1012 ( 266 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1615 ( 821 ~; 780 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 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 : 79 ( 79 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f751,plain,
$false,
inference(avatar_sat_refutation,[],[f52,f61,f79,f84,f85,f90,f92,f93,f95,f96,f97,f98,f99,f100,f101,f103,f104,f105,f107,f268,f303,f336,f354,f577,f585,f593,f602,f676,f727,f737,f750]) ).
fof(f750,plain,
( ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f749]) ).
fof(f749,plain,
( $false
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f748]) ).
fof(f748,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f743,f714]) ).
fof(f714,plain,
( sk_c8 = inverse(sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f621,f713]) ).
fof(f713,plain,
( sk_c8 = sk_c3
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f709,f624]) ).
fof(f624,plain,
( ! [X8] : multiply(sk_c8,X8) = X8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f623,f131]) ).
fof(f131,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f130,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f130,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
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(f623,plain,
( ! [X8] : multiply(inverse(sk_c8),multiply(sk_c8,X8)) = multiply(sk_c8,X8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f615,f618]) ).
fof(f618,plain,
( sk_c8 = sk_c4
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f611,f603]) ).
fof(f603,plain,
( sk_c4 = multiply(sk_c4,sk_c8)
| ~ spl0_2
| ~ spl0_10 ),
inference(backward_demodulation,[],[f458,f69]) ).
fof(f69,plain,
( sk_c4 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_10
<=> sk_c4 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f458,plain,
( sk_c4 = multiply(inverse(sk_c3),sk_c8)
| ~ spl0_2 ),
inference(superposition,[],[f131,f38]) ).
fof(f38,plain,
( sk_c8 = multiply(sk_c3,sk_c4)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f36]) ).
fof(f36,plain,
( spl0_2
<=> sk_c8 = multiply(sk_c3,sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f611,plain,
( sk_c8 = multiply(sk_c4,sk_c8)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f78,f606]) ).
fof(f606,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f604,f89]) ).
fof(f89,plain,
( sk_c7 = multiply(sk_c8,sk_c6)
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f87,plain,
( spl0_14
<=> sk_c7 = multiply(sk_c8,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f604,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_8
| ~ spl0_13 ),
inference(backward_demodulation,[],[f245,f60]) ).
fof(f60,plain,
( sk_c8 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_8
<=> sk_c8 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f245,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f131,f83]) ).
fof(f83,plain,
( sk_c6 = multiply(sk_c5,sk_c8)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_13
<=> sk_c6 = multiply(sk_c5,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f78,plain,
( sk_c8 = multiply(sk_c4,sk_c7)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_12
<=> sk_c8 = multiply(sk_c4,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f615,plain,
( ! [X8] : multiply(inverse(sk_c4),multiply(sk_c8,X8)) = multiply(sk_c8,X8)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f142,f606]) ).
fof(f142,plain,
( ! [X8] : multiply(sk_c7,X8) = multiply(inverse(sk_c4),multiply(sk_c8,X8))
| ~ spl0_12 ),
inference(superposition,[],[f131,f116]) ).
fof(f116,plain,
( ! [X0] : multiply(sk_c4,multiply(sk_c7,X0)) = multiply(sk_c8,X0)
| ~ spl0_12 ),
inference(superposition,[],[f3,f78]) ).
fof(f709,plain,
( sk_c8 = multiply(sk_c8,sk_c3)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f652,f621]) ).
fof(f652,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f2,f651]) ).
fof(f651,plain,
( identity = sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f630,f2]) ).
fof(f630,plain,
( sk_c8 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f614,f628]) ).
fof(f628,plain,
( sk_c8 = sk_c6
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f612,f624]) ).
fof(f612,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f89,f606]) ).
fof(f614,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f138,f606]) ).
fof(f138,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c7)
| ~ spl0_14 ),
inference(superposition,[],[f131,f89]) ).
fof(f621,plain,
( sk_c8 = inverse(sk_c3)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f69,f618]) ).
fof(f743,plain,
( sk_c8 != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f742]) ).
fof(f742,plain,
( sk_c8 != inverse(sk_c8)
| sk_c8 != inverse(sk_c8)
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f739,f624]) ).
fof(f739,plain,
( ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != inverse(X5) )
| ~ spl0_2
| ~ spl0_6
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f738,f653]) ).
fof(f653,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_2
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f146,f651]) ).
fof(f146,plain,
! [X4] : multiply(X4,identity) = X4,
inference(backward_demodulation,[],[f136,f137]) ).
fof(f137,plain,
! [X6,X5] : multiply(X5,X6) = multiply(inverse(inverse(X5)),X6),
inference(superposition,[],[f131,f131]) ).
fof(f136,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f131,f2]) ).
fof(f738,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c8)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f51,f606]) ).
fof(f51,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl0_6
<=> ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != multiply(X5,inverse(X5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f737,plain,
( ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f736]) ).
fof(f736,plain,
( $false
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f735]) ).
fof(f735,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f734]) ).
fof(f734,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f730,f714]) ).
fof(f730,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != X4 )
| ~ spl0_2
| ~ spl0_4
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f729,f653]) ).
fof(f729,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c8) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f728,f606]) ).
fof(f728,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f45,f606]) ).
fof(f45,plain,
( ! [X4] :
( sk_c7 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f44]) ).
fof(f44,plain,
( spl0_4
<=> ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f727,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f726]) ).
fof(f726,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f725]) ).
fof(f725,plain,
( sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(duplicate_literal_removal,[],[f724]) ).
fof(f724,plain,
( sk_c8 != sk_c8
| sk_c8 != sk_c8
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f656,f714]) ).
fof(f656,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != X3 )
| ~ spl0_2
| ~ spl0_5
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f607,f653]) ).
fof(f607,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f48,f606]) ).
fof(f48,plain,
( ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f47,plain,
( spl0_5
<=> ! [X3] :
( sk_c8 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f676,plain,
( ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f675]) ).
fof(f675,plain,
( $false
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f674]) ).
fof(f674,plain,
( sk_c1 != sk_c1
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f662,f673]) ).
fof(f673,plain,
( sk_c1 = inverse(sk_c2)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f657,f658]) ).
fof(f658,plain,
( sk_c1 = sk_c8
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f609,f653]) ).
fof(f609,plain,
( sk_c8 = multiply(sk_c1,sk_c8)
| ~ spl0_8
| ~ spl0_9
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f65,f606]) ).
fof(f65,plain,
( sk_c8 = multiply(sk_c1,sk_c7)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f63]) ).
fof(f63,plain,
( spl0_9
<=> sk_c8 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f657,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_2
| ~ spl0_7
| ~ spl0_8
| ~ spl0_10
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f616,f653]) ).
fof(f616,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f469,f606]) ).
fof(f469,plain,
( sk_c7 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_7 ),
inference(superposition,[],[f131,f56]) ).
fof(f56,plain,
( sk_c8 = multiply(sk_c2,sk_c7)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f54,plain,
( spl0_7
<=> sk_c8 = multiply(sk_c2,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f662,plain,
( sk_c1 != inverse(sk_c2)
| ~ spl0_2
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f610,f658]) ).
fof(f610,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_8
| spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f73,f606]) ).
fof(f73,plain,
( sk_c7 != inverse(sk_c2)
| spl0_11 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_11
<=> sk_c7 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f602,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f601,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f600]) ).
fof(f600,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f599]) ).
fof(f599,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f598,f542]) ).
fof(f542,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[],[f34,f541]) ).
fof(f541,plain,
( sk_c1 = sk_c8
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f537,f479]) ).
fof(f479,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[],[f1,f475]) ).
fof(f475,plain,
( identity = sk_c8
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f473,f2]) ).
fof(f473,plain,
( sk_c8 = multiply(inverse(sk_c7),sk_c7)
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f131,f471]) ).
fof(f471,plain,
( sk_c7 = multiply(sk_c7,sk_c8)
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f469,f74]) ).
fof(f74,plain,
( sk_c7 = inverse(sk_c2)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f537,plain,
( sk_c8 = multiply(sk_c8,sk_c1)
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(superposition,[],[f476,f34]) ).
fof(f476,plain,
( ! [X0] : multiply(inverse(X0),X0) = sk_c8
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[],[f2,f475]) ).
fof(f34,plain,
( inverse(sk_c1) = sk_c8
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f32,plain,
( spl0_1
<=> inverse(sk_c1) = sk_c8 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f598,plain,
( ! [X8] :
( sk_c1 != inverse(X8)
| sk_c1 != X8 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f597,f549]) ).
fof(f549,plain,
( sk_c1 = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f497,f541]) ).
fof(f497,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f65,f490]) ).
fof(f490,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[],[f232,f479]) ).
fof(f232,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,X0)) = X0
| ~ spl0_1 ),
inference(superposition,[],[f131,f34]) ).
fof(f597,plain,
( ! [X8] :
( sk_c1 != inverse(X8)
| sk_c7 != X8 )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f596,f547]) ).
fof(f547,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_1
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[],[f478,f541]) ).
fof(f478,plain,
( ! [X4] : multiply(X4,sk_c8) = X4
| ~ spl0_7
| ~ spl0_11 ),
inference(backward_demodulation,[],[f146,f475]) ).
fof(f596,plain,
( ! [X8] :
( sk_c1 != inverse(X8)
| sk_c7 != multiply(X8,sk_c1) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f595,f490]) ).
fof(f595,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c1,multiply(X8,sk_c1))
| sk_c1 != inverse(X8) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f594,f541]) ).
fof(f594,plain,
( ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c1,multiply(X8,sk_c1)) )
| ~ spl0_1
| ~ spl0_3
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f42,f541]) ).
fof(f42,plain,
( ! [X8] :
( sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl0_3
<=> ! [X8] :
( sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f593,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f592]) ).
fof(f592,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f591]) ).
fof(f591,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f590]) ).
fof(f590,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f589,f542]) ).
fof(f589,plain,
( ! [X4] :
( sk_c1 != inverse(X4)
| sk_c1 != X4 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f588,f541]) ).
fof(f588,plain,
( ! [X4] :
( sk_c8 != X4
| sk_c1 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f587,f547]) ).
fof(f587,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c1)
| sk_c1 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f586,f549]) ).
fof(f586,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c1 != inverse(X4) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f45,f549]) ).
fof(f585,plain,
( ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f584]) ).
fof(f584,plain,
( $false
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f583]) ).
fof(f583,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(duplicate_literal_removal,[],[f582]) ).
fof(f582,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f581,f542]) ).
fof(f581,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c1 != X3 )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f580,f541]) ).
fof(f580,plain,
( ! [X3] :
( sk_c8 != X3
| sk_c1 != inverse(X3) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f579,f547]) ).
fof(f579,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c8 != multiply(X3,sk_c1) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f578,f549]) ).
fof(f578,plain,
( ! [X3] :
( sk_c1 != inverse(X3)
| sk_c8 != multiply(X3,sk_c7) )
| ~ spl0_1
| ~ spl0_5
| ~ spl0_7
| ~ spl0_11 ),
inference(forward_demodulation,[],[f48,f541]) ).
fof(f577,plain,
( ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(avatar_contradiction_clause,[],[f576]) ).
fof(f576,plain,
( $false
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f575]) ).
fof(f575,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f574,f490]) ).
fof(f574,plain,
( sk_c1 != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(trivial_inequality_removal,[],[f572]) ).
fof(f572,plain,
( sk_c1 != sk_c1
| sk_c1 != multiply(sk_c1,sk_c1)
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(superposition,[],[f555,f542]) ).
fof(f555,plain,
( ! [X5] :
( sk_c1 != multiply(X5,inverse(X5))
| sk_c1 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(forward_demodulation,[],[f553,f541]) ).
fof(f553,plain,
( ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c1 != inverse(X5) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f528,f541]) ).
fof(f528,plain,
( ! [X5] :
( sk_c8 != inverse(X5)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f498,f478]) ).
fof(f498,plain,
( ! [X5] :
( sk_c8 != multiply(X5,inverse(X5))
| sk_c8 != multiply(inverse(X5),sk_c8) )
| ~ spl0_1
| ~ spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_11 ),
inference(backward_demodulation,[],[f51,f497]) ).
fof(f354,plain,
( ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f353]) ).
fof(f353,plain,
( $false
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f352]) ).
fof(f352,plain,
( sk_c8 != sk_c8
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f349,f230]) ).
fof(f230,plain,
( sk_c8 = inverse(sk_c2)
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f74,f149]) ).
fof(f149,plain,
( sk_c8 = sk_c7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f148,f89]) ).
fof(f148,plain,
( sk_c8 = multiply(sk_c8,sk_c6)
| ~ spl0_8
| ~ spl0_13 ),
inference(forward_demodulation,[],[f143,f60]) ).
fof(f143,plain,
( sk_c8 = multiply(inverse(sk_c5),sk_c6)
| ~ spl0_13 ),
inference(superposition,[],[f131,f83]) ).
fof(f349,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f346]) ).
fof(f346,plain,
( sk_c8 != inverse(sk_c2)
| sk_c8 != sk_c8
| ~ spl0_4
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f339,f227]) ).
fof(f227,plain,
( sk_c8 = multiply(sk_c2,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f56,f149]) ).
fof(f339,plain,
( ! [X4] :
( sk_c8 != multiply(X4,sk_c8)
| sk_c8 != inverse(X4) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f338,f149]) ).
fof(f338,plain,
( ! [X4] :
( sk_c8 != inverse(X4)
| sk_c8 != multiply(X4,sk_c7) )
| ~ spl0_4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f45,f149]) ).
fof(f336,plain,
( ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f335]) ).
fof(f335,plain,
( $false
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f334]) ).
fof(f334,plain,
( sk_c8 != sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f329,f230]) ).
fof(f329,plain,
( sk_c8 != inverse(sk_c2)
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f326]) ).
fof(f326,plain,
( sk_c8 != inverse(sk_c2)
| sk_c8 != sk_c8
| ~ spl0_5
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f304,f227]) ).
fof(f304,plain,
( ! [X3] :
( sk_c8 != multiply(X3,sk_c8)
| sk_c8 != inverse(X3) )
| ~ spl0_5
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f48,f149]) ).
fof(f303,plain,
( ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f302]) ).
fof(f302,plain,
( $false
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f301]) ).
fof(f301,plain,
( sk_c8 != sk_c8
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f300,f240]) ).
fof(f240,plain,
( sk_c8 = multiply(sk_c8,sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f238,f230]) ).
fof(f238,plain,
( sk_c8 = multiply(inverse(sk_c2),sk_c8)
| ~ spl0_7
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f131,f227]) ).
fof(f300,plain,
( sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f299]) ).
fof(f299,plain,
( sk_c8 != sk_c8
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f289,f227]) ).
fof(f289,plain,
( sk_c8 != multiply(sk_c2,sk_c8)
| sk_c8 != multiply(sk_c8,sk_c8)
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f285,f230]) ).
fof(f285,plain,
( ! [X5] :
( sk_c8 != multiply(inverse(X5),sk_c8)
| sk_c8 != multiply(X5,inverse(X5)) )
| ~ spl0_6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f51,f149]) ).
fof(f268,plain,
( ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f267]) ).
fof(f267,plain,
( $false
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f266]) ).
fof(f266,plain,
( sk_c8 != sk_c8
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f265,f60]) ).
fof(f265,plain,
( sk_c8 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f264]) ).
fof(f264,plain,
( sk_c8 != sk_c8
| sk_c8 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f262,f169]) ).
fof(f169,plain,
( ! [X4] : multiply(X4,sk_c6) = X4
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f146,f167]) ).
fof(f167,plain,
( identity = sk_c6
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f158,f2]) ).
fof(f158,plain,
( sk_c6 = multiply(inverse(sk_c8),sk_c8)
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f138,f149]) ).
fof(f262,plain,
( sk_c8 != multiply(sk_c8,sk_c6)
| sk_c8 != inverse(sk_c5)
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f150,f83]) ).
fof(f150,plain,
( ! [X8] :
( sk_c8 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != inverse(X8) )
| ~ spl0_3
| ~ spl0_8
| ~ spl0_13
| ~ spl0_14 ),
inference(backward_demodulation,[],[f42,f149]) ).
fof(f107,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f23,f72,f67]) ).
fof(f23,axiom,
( sk_c7 = inverse(sk_c2)
| sk_c4 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f105,plain,
( spl0_14
| spl0_9 ),
inference(avatar_split_clause,[],[f13,f63,f87]) ).
fof(f13,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f104,plain,
( spl0_13
| spl0_1 ),
inference(avatar_split_clause,[],[f8,f32,f81]) ).
fof(f8,axiom,
( inverse(sk_c1) = sk_c8
| sk_c6 = multiply(sk_c5,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f103,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f15,f63,f58]) ).
fof(f15,axiom,
( sk_c8 = multiply(sk_c1,sk_c7)
| sk_c8 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f101,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f16,f54,f36]) ).
fof(f16,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c3,sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f100,plain,
( spl0_11
| spl0_14 ),
inference(avatar_split_clause,[],[f25,f87,f72]) ).
fof(f25,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f99,plain,
( spl0_11
| spl0_8 ),
inference(avatar_split_clause,[],[f27,f58,f72]) ).
fof(f27,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f98,plain,
( spl0_7
| spl0_10 ),
inference(avatar_split_clause,[],[f17,f67,f54]) ).
fof(f17,axiom,
( sk_c4 = inverse(sk_c3)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
fof(f97,plain,
( spl0_7
| spl0_13 ),
inference(avatar_split_clause,[],[f20,f81,f54]) ).
fof(f20,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f96,plain,
( spl0_14
| spl0_7 ),
inference(avatar_split_clause,[],[f19,f54,f87]) ).
fof(f19,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c7 = multiply(sk_c8,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f95,plain,
( spl0_9
| spl0_13 ),
inference(avatar_split_clause,[],[f14,f81,f63]) ).
fof(f14,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c8 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f93,plain,
( spl0_11
| spl0_2 ),
inference(avatar_split_clause,[],[f22,f36,f72]) ).
fof(f22,axiom,
( sk_c8 = multiply(sk_c3,sk_c4)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f92,plain,
( spl0_12
| spl0_7 ),
inference(avatar_split_clause,[],[f18,f54,f76]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c2,sk_c7)
| sk_c8 = multiply(sk_c4,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f90,plain,
( spl0_1
| spl0_14 ),
inference(avatar_split_clause,[],[f7,f87,f32]) ).
fof(f7,axiom,
( sk_c7 = multiply(sk_c8,sk_c6)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f85,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f9,f58,f32]) ).
fof(f9,axiom,
( sk_c8 = inverse(sk_c5)
| inverse(sk_c1) = sk_c8 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f84,plain,
( spl0_11
| spl0_13 ),
inference(avatar_split_clause,[],[f26,f81,f72]) ).
fof(f26,axiom,
( sk_c6 = multiply(sk_c5,sk_c8)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f79,plain,
( spl0_11
| spl0_12 ),
inference(avatar_split_clause,[],[f24,f76,f72]) ).
fof(f24,axiom,
( sk_c8 = multiply(sk_c4,sk_c7)
| sk_c7 = inverse(sk_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f61,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f21,f58,f54]) ).
fof(f21,axiom,
( sk_c8 = inverse(sk_c5)
| sk_c8 = multiply(sk_c2,sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f52,plain,
( spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f30,f50,f47,f44,f41]) ).
fof(f30,plain,
! [X3,X8,X4,X5] :
( sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X4,sk_c7)
| sk_c7 != inverse(X4)
| sk_c8 != inverse(X8)
| sk_c8 != multiply(X5,inverse(X5))
| sk_c7 != multiply(sk_c8,multiply(X8,sk_c8))
| sk_c8 != multiply(X3,sk_c7) ),
inference(equality_resolution,[],[f29]) ).
fof(f29,plain,
! [X3,X8,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(inverse(X5),sk_c7)
| sk_c8 != inverse(X3)
| sk_c8 != multiply(X5,inverse(X5))
| multiply(X8,sk_c8) != X7
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,X7)
| sk_c7 != inverse(X4) ),
inference(equality_resolution,[],[f28]) ).
fof(f28,axiom,
! [X3,X8,X6,X7,X4,X5] :
( sk_c8 != multiply(X4,sk_c7)
| sk_c8 != multiply(X6,sk_c7)
| sk_c8 != inverse(X3)
| inverse(X5) != X6
| sk_c8 != multiply(X5,X6)
| multiply(X8,sk_c8) != X7
| sk_c8 != multiply(X3,sk_c7)
| sk_c8 != inverse(X8)
| sk_c7 != multiply(sk_c8,X7)
| sk_c7 != inverse(X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP230-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:36:45 EDT 2022
% 0.14/0.34 % CPUTime :
% 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 % (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)
% 0.20/0.51 % (15877)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.51 % (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)
% 0.20/0.51 % (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 % (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)
% 0.20/0.51 % (15875)Instruction limit reached!
% 0.20/0.51 % (15875)------------------------------
% 0.20/0.51 % (15875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.51 % (15875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.51 % (15875)Termination reason: Unknown
% 0.20/0.51 % (15875)Termination phase: Saturation
% 0.20/0.51
% 0.20/0.51 % (15875)Memory used [KB]: 5373
% 0.20/0.51 % (15875)Time elapsed: 0.002 s
% 0.20/0.51 % (15875)Instructions burned: 2 (million)
% 0.20/0.51 % (15875)------------------------------
% 0.20/0.51 % (15875)------------------------------
% 0.20/0.51 % (15867)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)
% 0.20/0.51 % (15874)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52 % (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)
% 0.20/0.52 % (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)
% 0.20/0.52 % (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)
% 0.20/0.52 % (15868)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)
% 0.20/0.52 % (15871)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53 % (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)
% 0.20/0.53 % (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)
% 0.20/0.53 TRYING [1]
% 0.20/0.53 TRYING [2]
% 0.20/0.53 % (15894)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)
% 0.20/0.53 TRYING [3]
% 0.20/0.53 % (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)
% 0.20/0.53 % (15893)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)
% 0.20/0.53 % (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)
% 0.20/0.54 % (15874)Instruction limit reached!
% 0.20/0.54 % (15874)------------------------------
% 0.20/0.54 % (15874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54 % (15884)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54 % (15896)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)
% 0.20/0.54 % (15874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54 % (15874)Termination reason: Unknown
% 0.20/0.54 % (15874)Termination phase: Saturation
% 0.20/0.54
% 0.20/0.54 % (15874)Memory used [KB]: 5500
% 0.20/0.54 % (15874)Time elapsed: 0.120 s
% 0.20/0.54 % (15874)Instructions burned: 8 (million)
% 0.20/0.54 % (15874)------------------------------
% 0.20/0.54 % (15874)------------------------------
% 0.20/0.54 % (15888)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.54 % (15892)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.54 TRYING [1]
% 0.20/0.54 % (15891)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.54 % (15895)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54 TRYING [2]
% 0.20/0.54 TRYING [3]
% 0.20/0.54 % (15883)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)
% 0.20/0.54 % (15885)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54 % (15886)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)
% 0.20/0.55 % (15869)Instruction limit reached!
% 0.20/0.55 % (15869)------------------------------
% 0.20/0.55 % (15869)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55 % (15869)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55 % (15869)Termination reason: Unknown
% 0.20/0.55 % (15869)Termination phase: Saturation
% 0.20/0.55
% 0.20/0.55 % (15869)Memory used [KB]: 1151
% 0.20/0.55 % (15869)Time elapsed: 0.123 s
% 0.20/0.55 % (15869)Instructions burned: 38 (million)
% 0.20/0.55 % (15869)------------------------------
% 0.20/0.55 % (15869)------------------------------
% 0.20/0.55 % (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)
% 0.20/0.55 TRYING [1]
% 0.20/0.55 TRYING [2]
% 0.20/0.55 % (15880)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55 TRYING [3]
% 0.20/0.56 TRYING [4]
% 0.20/0.56 % (15876)Instruction limit reached!
% 0.20/0.56 % (15876)------------------------------
% 0.20/0.56 % (15876)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.56 % (15876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.56 % (15876)Termination reason: Unknown
% 0.20/0.56 % (15876)Termination phase: Saturation
% 0.20/0.56
% 0.20/0.56 % (15876)Memory used [KB]: 1407
% 0.20/0.56 % (15876)Time elapsed: 0.147 s
% 0.20/0.56 % (15876)Instructions burned: 51 (million)
% 0.20/0.56 % (15876)------------------------------
% 0.20/0.56 % (15876)------------------------------
% 0.20/0.57 TRYING [4]
% 0.20/0.57 % (15896)First to succeed.
% 0.20/0.58 TRYING [4]
% 1.79/0.60 TRYING [5]
% 1.79/0.60 % (15896)Refutation found. Thanks to Tanya!
% 1.79/0.60 % SZS status Unsatisfiable for theBenchmark
% 1.79/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 1.79/0.60 % (15896)------------------------------
% 1.79/0.60 % (15896)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.79/0.60 % (15896)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.79/0.60 % (15896)Termination reason: Refutation
% 1.79/0.60
% 1.79/0.60 % (15896)Memory used [KB]: 5756
% 1.79/0.60 % (15896)Time elapsed: 0.150 s
% 1.79/0.60 % (15896)Instructions burned: 24 (million)
% 1.79/0.60 % (15896)------------------------------
% 1.79/0.60 % (15896)------------------------------
% 1.79/0.60 % (15866)Success in time 0.243 s
%------------------------------------------------------------------------------