TSTP Solution File: GRP289-1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP289-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:21:10 EDT 2022
% Result : Unsatisfiable 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 50
% Syntax : Number of formulae : 222 ( 6 unt; 0 def)
% Number of atoms : 898 ( 255 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 1346 ( 670 ~; 653 |; 0 &)
% ( 23 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 24 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f822,plain,
$false,
inference(avatar_sat_refutation,[],[f44,f52,f60,f69,f74,f83,f84,f89,f90,f95,f100,f108,f109,f110,f112,f113,f114,f115,f116,f118,f119,f120,f121,f122,f123,f127,f128,f143,f153,f229,f396,f432,f499,f527,f590,f615,f631,f714,f739,f760,f795,f821]) ).
fof(f821,plain,
( ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f820]) ).
fof(f820,plain,
( $false
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f819]) ).
fof(f819,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(superposition,[],[f807,f693]) ).
fof(f693,plain,
( identity = inverse(sk_c3)
| ~ spl3_2
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f94,f647]) ).
fof(f647,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f646,f642]) ).
fof(f642,plain,
( identity = sk_c5
| ~ spl3_2
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f641,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f641,plain,
( sk_c5 = multiply(identity,identity)
| ~ spl3_2
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f640,f634]) ).
fof(f634,plain,
( identity = inverse(sk_c4)
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f99,f150]) ).
fof(f150,plain,
( identity = sk_c6
| ~ spl3_21 ),
inference(avatar_component_clause,[],[f149]) ).
fof(f149,plain,
( spl3_21
<=> identity = sk_c6 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_21])]) ).
fof(f99,plain,
( sk_c6 = inverse(sk_c4)
| ~ spl3_14 ),
inference(avatar_component_clause,[],[f97]) ).
fof(f97,plain,
( spl3_14
<=> sk_c6 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_14])]) ).
fof(f640,plain,
( sk_c5 = multiply(inverse(sk_c4),identity)
| ~ spl3_2
| ~ spl3_21 ),
inference(forward_demodulation,[],[f177,f150]) ).
fof(f177,plain,
( sk_c5 = multiply(inverse(sk_c4),sk_c6)
| ~ spl3_2 ),
inference(superposition,[],[f165,f43]) ).
fof(f43,plain,
( sk_c6 = multiply(sk_c4,sk_c5)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f41,plain,
( spl3_2
<=> sk_c6 = multiply(sk_c4,sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f165,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = X7,
inference(forward_demodulation,[],[f156,f1]) ).
fof(f156,plain,
! [X6,X7] : multiply(inverse(X6),multiply(X6,X7)) = multiply(identity,X7),
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(f646,plain,
( sk_c7 = sk_c5
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f645,f1]) ).
fof(f645,plain,
( sk_c5 = multiply(identity,sk_c7)
| ~ spl3_11
| ~ spl3_21 ),
inference(forward_demodulation,[],[f82,f150]) ).
fof(f82,plain,
( sk_c5 = multiply(sk_c6,sk_c7)
| ~ spl3_11 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f80,plain,
( spl3_11
<=> sk_c5 = multiply(sk_c6,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_11])]) ).
fof(f94,plain,
( sk_c7 = inverse(sk_c3)
| ~ spl3_13 ),
inference(avatar_component_clause,[],[f92]) ).
fof(f92,plain,
( spl3_13
<=> sk_c7 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_13])]) ).
fof(f807,plain,
( identity != inverse(sk_c3)
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f802]) ).
fof(f802,plain,
( identity != inverse(sk_c3)
| identity != identity
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(superposition,[],[f798,f665]) ).
fof(f665,plain,
( identity = multiply(sk_c3,identity)
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f433,f647]) ).
fof(f433,plain,
( sk_c7 = multiply(sk_c3,identity)
| ~ spl3_8
| ~ spl3_21 ),
inference(backward_demodulation,[],[f68,f150]) ).
fof(f68,plain,
( sk_c7 = multiply(sk_c3,sk_c6)
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f66]) ).
fof(f66,plain,
( spl3_8
<=> sk_c7 = multiply(sk_c3,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_8])]) ).
fof(f798,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f797,f647]) ).
fof(f797,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f796,f150]) ).
fof(f796,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f107,f647]) ).
fof(f107,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,sk_c6) )
| ~ spl3_16 ),
inference(avatar_component_clause,[],[f106]) ).
fof(f106,plain,
( spl3_16
<=> ! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| sk_c7 != inverse(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_16])]) ).
fof(f795,plain,
( ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f794]) ).
fof(f794,plain,
( $false
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f793]) ).
fof(f793,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(superposition,[],[f775,f693]) ).
fof(f775,plain,
( identity != inverse(sk_c3)
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f769]) ).
fof(f769,plain,
( identity != identity
| identity != inverse(sk_c3)
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(superposition,[],[f765,f665]) ).
fof(f765,plain,
( ! [X3] :
( identity != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f764,f150]) ).
fof(f764,plain,
( ! [X3] :
( sk_c6 != multiply(X3,identity)
| identity != inverse(X3) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f763,f647]) ).
fof(f763,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,identity) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_17
| ~ spl3_21 ),
inference(forward_demodulation,[],[f126,f647]) ).
fof(f126,plain,
( ! [X3] :
( sk_c6 != multiply(X3,sk_c7)
| sk_c7 != inverse(X3) )
| ~ spl3_17 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f125,plain,
( spl3_17
<=> ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_17])]) ).
fof(f760,plain,
( ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f759]) ).
fof(f759,plain,
( $false
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f758]) ).
fof(f758,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_10
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(superposition,[],[f754,f483]) ).
fof(f483,plain,
( identity = inverse(identity)
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f434,f455]) ).
fof(f455,plain,
( identity = sk_c2
| ~ spl3_10
| ~ spl3_21 ),
inference(forward_demodulation,[],[f452,f2]) ).
fof(f452,plain,
( sk_c2 = multiply(inverse(identity),identity)
| ~ spl3_10
| ~ spl3_21 ),
inference(backward_demodulation,[],[f418,f150]) ).
fof(f418,plain,
( sk_c2 = multiply(inverse(sk_c6),identity)
| ~ spl3_10 ),
inference(superposition,[],[f165,f270]) ).
fof(f270,plain,
( identity = multiply(sk_c6,sk_c2)
| ~ spl3_10 ),
inference(superposition,[],[f2,f78]) ).
fof(f78,plain,
( sk_c6 = inverse(sk_c2)
| ~ spl3_10 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl3_10
<=> sk_c6 = inverse(sk_c2) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_10])]) ).
fof(f434,plain,
( identity = inverse(sk_c2)
| ~ spl3_10
| ~ spl3_21 ),
inference(backward_demodulation,[],[f78,f150]) ).
fof(f754,plain,
( identity != inverse(identity)
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f746]) ).
fof(f746,plain,
( identity != identity
| identity != inverse(identity)
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(superposition,[],[f742,f1]) ).
fof(f742,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f741,f647]) ).
fof(f741,plain,
( ! [X5] :
( identity != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f740,f647]) ).
fof(f740,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| sk_c7 != multiply(X5,identity) )
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f107,f150]) ).
fof(f739,plain,
( ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f738]) ).
fof(f738,plain,
( $false
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f737]) ).
fof(f737,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14
| ~ spl3_21 ),
inference(superposition,[],[f734,f693]) ).
fof(f734,plain,
( identity != inverse(sk_c3)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f730]) ).
fof(f730,plain,
( identity != identity
| identity != inverse(sk_c3)
| ~ spl3_2
| ~ spl3_4
| ~ spl3_8
| ~ spl3_11
| ~ spl3_14
| ~ spl3_21 ),
inference(superposition,[],[f721,f665]) ).
fof(f721,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_2
| ~ spl3_4
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f720,f642]) ).
fof(f720,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f719,f150]) ).
fof(f719,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,identity) )
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f51,f150]) ).
fof(f51,plain,
( ! [X4] :
( sk_c5 != multiply(X4,sk_c6)
| sk_c6 != inverse(X4) )
| ~ spl3_4 ),
inference(avatar_component_clause,[],[f50]) ).
fof(f50,plain,
( spl3_4
<=> ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_4])]) ).
fof(f714,plain,
( ~ spl3_2
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f713]) ).
fof(f713,plain,
( $false
| ~ spl3_2
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f712]) ).
fof(f712,plain,
( identity != identity
| ~ spl3_2
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_21 ),
inference(superposition,[],[f680,f1]) ).
fof(f680,plain,
( identity != multiply(identity,identity)
| ~ spl3_2
| ~ spl3_11
| spl3_12
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f679,f647]) ).
fof(f679,plain,
( identity != multiply(sk_c7,identity)
| ~ spl3_2
| spl3_12
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f678,f150]) ).
fof(f678,plain,
( identity != multiply(sk_c7,sk_c6)
| ~ spl3_2
| spl3_12
| ~ spl3_14
| ~ spl3_21 ),
inference(forward_demodulation,[],[f87,f642]) ).
fof(f87,plain,
( multiply(sk_c7,sk_c6) != sk_c5
| spl3_12 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f86,plain,
( spl3_12
<=> multiply(sk_c7,sk_c6) = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_12])]) ).
fof(f631,plain,
( ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f629]) ).
fof(f629,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(superposition,[],[f628,f483]) ).
fof(f628,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f627,f483]) ).
fof(f627,plain,
( identity != inverse(inverse(identity))
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f621]) ).
fof(f621,plain,
( identity != inverse(inverse(identity))
| identity != identity
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(superposition,[],[f618,f2]) ).
fof(f618,plain,
( ! [X5] :
( identity != multiply(X5,identity)
| identity != inverse(X5) )
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f617,f460]) ).
fof(f460,plain,
( identity = sk_c7
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f456,f1]) ).
fof(f456,plain,
( sk_c7 = multiply(identity,identity)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(backward_demodulation,[],[f443,f455]) ).
fof(f443,plain,
( sk_c7 = multiply(sk_c2,identity)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12
| ~ spl3_21 ),
inference(backward_demodulation,[],[f285,f150]) ).
fof(f285,plain,
( sk_c7 = multiply(sk_c2,sk_c6)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f39,f284]) ).
fof(f284,plain,
( sk_c7 = sk_c5
| ~ spl3_7
| ~ spl3_9
| ~ spl3_12 ),
inference(backward_demodulation,[],[f88,f283]) ).
fof(f283,plain,
( sk_c7 = multiply(sk_c7,sk_c6)
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f281,f64]) ).
fof(f64,plain,
( sk_c7 = inverse(sk_c1)
| ~ spl3_7 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl3_7
<=> sk_c7 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_7])]) ).
fof(f281,plain,
( sk_c7 = multiply(inverse(sk_c1),sk_c6)
| ~ spl3_9 ),
inference(superposition,[],[f165,f73]) ).
fof(f73,plain,
( sk_c6 = multiply(sk_c1,sk_c7)
| ~ spl3_9 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f71,plain,
( spl3_9
<=> sk_c6 = multiply(sk_c1,sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_9])]) ).
fof(f88,plain,
( multiply(sk_c7,sk_c6) = sk_c5
| ~ spl3_12 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f39,plain,
( sk_c5 = multiply(sk_c2,sk_c6)
| ~ spl3_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f37,plain,
( spl3_1
<=> sk_c5 = multiply(sk_c2,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f617,plain,
( ! [X5] :
( sk_c7 != inverse(X5)
| identity != multiply(X5,identity) )
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f616,f460]) ).
fof(f616,plain,
( ! [X5] :
( sk_c7 != multiply(X5,identity)
| sk_c7 != inverse(X5) )
| ~ spl3_16
| ~ spl3_21 ),
inference(forward_demodulation,[],[f107,f150]) ).
fof(f615,plain,
( ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f614]) ).
fof(f614,plain,
( $false
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f613]) ).
fof(f613,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(superposition,[],[f604,f483]) ).
fof(f604,plain,
( identity != inverse(identity)
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f597]) ).
fof(f597,plain,
( identity != inverse(identity)
| identity != identity
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(superposition,[],[f593,f1]) ).
fof(f593,plain,
( ! [X4] :
( identity != multiply(X4,identity)
| identity != inverse(X4) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f592,f150]) ).
fof(f592,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| identity != multiply(X4,identity) )
| ~ spl3_1
| ~ spl3_4
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(forward_demodulation,[],[f591,f465]) ).
fof(f465,plain,
( identity = sk_c5
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| ~ spl3_21 ),
inference(backward_demodulation,[],[f284,f460]) ).
fof(f591,plain,
( ! [X4] :
( sk_c5 != multiply(X4,identity)
| sk_c6 != inverse(X4) )
| ~ spl3_4
| ~ spl3_21 ),
inference(forward_demodulation,[],[f51,f150]) ).
fof(f590,plain,
( ~ spl3_10
| spl3_18
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f589]) ).
fof(f589,plain,
( $false
| ~ spl3_10
| spl3_18
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f588]) ).
fof(f588,plain,
( identity != identity
| ~ spl3_10
| spl3_18
| ~ spl3_21 ),
inference(superposition,[],[f556,f483]) ).
fof(f556,plain,
( identity != inverse(identity)
| spl3_18
| ~ spl3_21 ),
inference(forward_demodulation,[],[f138,f150]) ).
fof(f138,plain,
( sk_c6 != inverse(identity)
| spl3_18 ),
inference(avatar_component_clause,[],[f136]) ).
fof(f136,plain,
( spl3_18
<=> sk_c6 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_18])]) ).
fof(f527,plain,
( ~ spl3_21
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| spl3_19
| ~ spl3_21 ),
inference(avatar_split_clause,[],[f526,f149,f140,f86,f76,f71,f62,f37,f149]) ).
fof(f140,plain,
( spl3_19
<=> sk_c6 = sk_c5 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_19])]) ).
fof(f526,plain,
( identity != sk_c6
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12
| spl3_19
| ~ spl3_21 ),
inference(forward_demodulation,[],[f142,f465]) ).
fof(f142,plain,
( sk_c6 != sk_c5
| spl3_19 ),
inference(avatar_component_clause,[],[f140]) ).
fof(f499,plain,
( ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| spl3_11
| ~ spl3_12
| ~ spl3_21 ),
inference(avatar_contradiction_clause,[],[f498]) ).
fof(f498,plain,
( $false
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| spl3_11
| ~ spl3_12
| ~ spl3_21 ),
inference(trivial_inequality_removal,[],[f497]) ).
fof(f497,plain,
( identity != identity
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| spl3_11
| ~ spl3_12
| ~ spl3_21 ),
inference(superposition,[],[f449,f460]) ).
fof(f449,plain,
( identity != sk_c7
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| spl3_11
| ~ spl3_12
| ~ spl3_21 ),
inference(backward_demodulation,[],[f371,f150]) ).
fof(f371,plain,
( sk_c7 != sk_c6
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f370,f284]) ).
fof(f370,plain,
( sk_c6 != sk_c5
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| spl3_11
| ~ spl3_12 ),
inference(forward_demodulation,[],[f81,f296]) ).
fof(f296,plain,
( sk_c6 = multiply(sk_c6,sk_c7)
| ~ spl3_1
| ~ spl3_7
| ~ spl3_9
| ~ spl3_10
| ~ spl3_12 ),
inference(backward_demodulation,[],[f275,f284]) ).
fof(f275,plain,
( sk_c6 = multiply(sk_c6,sk_c5)
| ~ spl3_1
| ~ spl3_10 ),
inference(forward_demodulation,[],[f273,f78]) ).
fof(f273,plain,
( sk_c6 = multiply(inverse(sk_c2),sk_c5)
| ~ spl3_1 ),
inference(superposition,[],[f165,f39]) ).
fof(f81,plain,
( sk_c5 != multiply(sk_c6,sk_c7)
| spl3_11 ),
inference(avatar_component_clause,[],[f80]) ).
fof(f432,plain,
( spl3_21
| ~ spl3_7
| ~ spl3_9 ),
inference(avatar_split_clause,[],[f431,f71,f62,f149]) ).
fof(f431,plain,
( identity = sk_c6
| ~ spl3_7
| ~ spl3_9 ),
inference(forward_demodulation,[],[f429,f2]) ).
fof(f429,plain,
( sk_c6 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_7
| ~ spl3_9 ),
inference(superposition,[],[f165,f283]) ).
fof(f396,plain,
( ~ spl3_7
| ~ spl3_9
| ~ spl3_17 ),
inference(avatar_split_clause,[],[f395,f125,f71,f62]) ).
fof(f395,plain,
( sk_c7 != inverse(sk_c1)
| ~ spl3_9
| ~ spl3_17 ),
inference(trivial_inequality_removal,[],[f393]) ).
fof(f393,plain,
( sk_c7 != inverse(sk_c1)
| sk_c6 != sk_c6
| ~ spl3_9
| ~ spl3_17 ),
inference(superposition,[],[f126,f73]) ).
fof(f229,plain,
( spl3_21
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14 ),
inference(avatar_split_clause,[],[f219,f97,f92,f80,f66,f41,f149]) ).
fof(f219,plain,
( identity = sk_c6
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14 ),
inference(backward_demodulation,[],[f193,f213]) ).
fof(f213,plain,
( identity = sk_c7
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14 ),
inference(forward_demodulation,[],[f208,f2]) ).
fof(f208,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c7)
| ~ spl3_2
| ~ spl3_8
| ~ spl3_11
| ~ spl3_13
| ~ spl3_14 ),
inference(backward_demodulation,[],[f182,f193]) ).
fof(f182,plain,
( sk_c7 = multiply(inverse(sk_c7),sk_c6)
| ~ spl3_8
| ~ spl3_13 ),
inference(superposition,[],[f165,f179]) ).
fof(f179,plain,
( sk_c6 = multiply(sk_c7,sk_c7)
| ~ spl3_8
| ~ spl3_13 ),
inference(forward_demodulation,[],[f176,f94]) ).
fof(f176,plain,
( sk_c6 = multiply(inverse(sk_c3),sk_c7)
| ~ spl3_8 ),
inference(superposition,[],[f165,f68]) ).
fof(f193,plain,
( sk_c7 = sk_c6
| ~ spl3_2
| ~ spl3_11
| ~ spl3_14 ),
inference(forward_demodulation,[],[f191,f174]) ).
fof(f174,plain,
( sk_c7 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_11 ),
inference(superposition,[],[f165,f82]) ).
fof(f191,plain,
( sk_c6 = multiply(inverse(sk_c6),sk_c5)
| ~ spl3_2
| ~ spl3_14 ),
inference(superposition,[],[f165,f180]) ).
fof(f180,plain,
( sk_c5 = multiply(sk_c6,sk_c6)
| ~ spl3_2
| ~ spl3_14 ),
inference(forward_demodulation,[],[f177,f99]) ).
fof(f153,plain,
( ~ spl3_14
| ~ spl3_2
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f134,f54,f41,f97]) ).
fof(f54,plain,
( spl3_5
<=> ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_5])]) ).
fof(f134,plain,
( sk_c6 != inverse(sk_c4)
| ~ spl3_2
| ~ spl3_5 ),
inference(trivial_inequality_removal,[],[f133]) ).
fof(f133,plain,
( sk_c6 != sk_c6
| sk_c6 != inverse(sk_c4)
| ~ spl3_2
| ~ spl3_5 ),
inference(superposition,[],[f55,f43]) ).
fof(f55,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
| ~ spl3_5 ),
inference(avatar_component_clause,[],[f54]) ).
fof(f143,plain,
( ~ spl3_18
| ~ spl3_19
| ~ spl3_5 ),
inference(avatar_split_clause,[],[f131,f54,f140,f136]) ).
fof(f131,plain,
( sk_c6 != sk_c5
| sk_c6 != inverse(identity)
| ~ spl3_5 ),
inference(superposition,[],[f55,f1]) ).
fof(f128,plain,
( spl3_12
| spl3_14 ),
inference(avatar_split_clause,[],[f7,f97,f86]) ).
fof(f7,axiom,
( sk_c6 = inverse(sk_c4)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_4) ).
fof(f127,plain,
( spl3_17
| spl3_15 ),
inference(avatar_split_clause,[],[f30,f102,f125]) ).
fof(f102,plain,
( spl3_15
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_15])]) ).
fof(f30,plain,
! [X3] :
( sP0
| sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) ),
inference(cnf_transformation,[],[f30_D]) ).
fof(f30_D,plain,
( ! [X3] :
( sk_c7 != inverse(X3)
| sk_c6 != multiply(X3,sk_c7) )
<=> ~ sP0 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f123,plain,
( spl3_8
| spl3_9 ),
inference(avatar_split_clause,[],[f11,f71,f66]) ).
fof(f11,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = multiply(sk_c3,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_8) ).
fof(f122,plain,
( spl3_14
| spl3_10 ),
inference(avatar_split_clause,[],[f27,f76,f97]) ).
fof(f27,axiom,
( sk_c6 = inverse(sk_c2)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_24) ).
fof(f121,plain,
( spl3_2
| spl3_7 ),
inference(avatar_split_clause,[],[f18,f62,f41]) ).
fof(f18,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_15) ).
fof(f120,plain,
( spl3_13
| spl3_9 ),
inference(avatar_split_clause,[],[f10,f71,f92]) ).
fof(f10,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_7) ).
fof(f119,plain,
( spl3_10
| spl3_13 ),
inference(avatar_split_clause,[],[f25,f92,f76]) ).
fof(f25,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_22) ).
fof(f118,plain,
( spl3_14
| spl3_9 ),
inference(avatar_split_clause,[],[f12,f71,f97]) ).
fof(f12,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_9) ).
fof(f116,plain,
( spl3_10
| spl3_2 ),
inference(avatar_split_clause,[],[f28,f41,f76]) ).
fof(f28,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_25) ).
fof(f115,plain,
( spl3_13
| spl3_1 ),
inference(avatar_split_clause,[],[f20,f37,f92]) ).
fof(f20,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c7 = inverse(sk_c3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_17) ).
fof(f114,plain,
( spl3_10
| spl3_8 ),
inference(avatar_split_clause,[],[f26,f66,f76]) ).
fof(f26,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_23) ).
fof(f113,plain,
( spl3_11
| spl3_7 ),
inference(avatar_split_clause,[],[f14,f62,f80]) ).
fof(f14,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_11) ).
fof(f112,plain,
( spl3_11
| spl3_1 ),
inference(avatar_split_clause,[],[f19,f37,f80]) ).
fof(f19,axiom,
( sk_c5 = multiply(sk_c2,sk_c6)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_16) ).
fof(f110,plain,
( spl3_14
| spl3_7 ),
inference(avatar_split_clause,[],[f17,f62,f97]) ).
fof(f17,axiom,
( sk_c7 = inverse(sk_c1)
| sk_c6 = inverse(sk_c4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_14) ).
fof(f109,plain,
( spl3_1
| spl3_8 ),
inference(avatar_split_clause,[],[f21,f66,f37]) ).
fof(f21,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_18) ).
fof(f108,plain,
( ~ spl3_15
| ~ spl3_3
| ~ spl3_6
| ~ spl3_11
| ~ spl3_12
| spl3_16 ),
inference(avatar_split_clause,[],[f35,f106,f86,f80,f57,f46,f102]) ).
fof(f46,plain,
( spl3_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f57,plain,
( spl3_6
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl3_6])]) ).
fof(f35,plain,
! [X5] :
( sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c5 != multiply(sk_c6,sk_c7)
| sk_c7 != inverse(X5)
| ~ sP1
| ~ sP2
| ~ sP0 ),
inference(general_splitting,[],[f33,f34_D]) ).
fof(f34,plain,
! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6)
| sP2 ),
inference(cnf_transformation,[],[f34_D]) ).
fof(f34_D,plain,
( ! [X4] :
( sk_c6 != inverse(X4)
| sk_c5 != multiply(X4,sk_c6) )
<=> ~ sP2 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f33,plain,
! [X4,X5] :
( sk_c7 != inverse(X5)
| sk_c5 != multiply(X4,sk_c6)
| sk_c7 != multiply(X5,sk_c6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| ~ sP0
| ~ sP1 ),
inference(general_splitting,[],[f31,f32_D]) ).
fof(f32,plain,
! [X6] :
( sP1
| sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) ),
inference(cnf_transformation,[],[f32_D]) ).
fof(f32_D,plain,
( ! [X6] :
( sk_c6 != multiply(X6,sk_c5)
| sk_c6 != inverse(X6) )
<=> ~ sP1 ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f31,plain,
! [X6,X4,X5] :
( sk_c7 != inverse(X5)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != inverse(X6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7)
| ~ sP0 ),
inference(general_splitting,[],[f29,f30_D]) ).
fof(f29,axiom,
! [X3,X6,X4,X5] :
( sk_c7 != inverse(X3)
| sk_c7 != inverse(X5)
| sk_c5 != multiply(X4,sk_c6)
| sk_c6 != multiply(X6,sk_c5)
| sk_c7 != multiply(X5,sk_c6)
| sk_c6 != multiply(X3,sk_c7)
| sk_c6 != inverse(X6)
| multiply(sk_c7,sk_c6) != sk_c5
| sk_c6 != inverse(X4)
| sk_c5 != multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_26) ).
fof(f100,plain,
( spl3_1
| spl3_14 ),
inference(avatar_split_clause,[],[f22,f97,f37]) ).
fof(f22,axiom,
( sk_c6 = inverse(sk_c4)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_19) ).
fof(f95,plain,
( spl3_7
| spl3_13 ),
inference(avatar_split_clause,[],[f15,f92,f62]) ).
fof(f15,axiom,
( sk_c7 = inverse(sk_c3)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_12) ).
fof(f90,plain,
( spl3_12
| spl3_11 ),
inference(avatar_split_clause,[],[f4,f80,f86]) ).
fof(f4,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| multiply(sk_c7,sk_c6) = sk_c5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_1) ).
fof(f89,plain,
( spl3_2
| spl3_12 ),
inference(avatar_split_clause,[],[f8,f86,f41]) ).
fof(f8,axiom,
( multiply(sk_c7,sk_c6) = sk_c5
| sk_c6 = multiply(sk_c4,sk_c5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_5) ).
fof(f84,plain,
( spl3_11
| spl3_9 ),
inference(avatar_split_clause,[],[f9,f71,f80]) ).
fof(f9,axiom,
( sk_c6 = multiply(sk_c1,sk_c7)
| sk_c5 = multiply(sk_c6,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_6) ).
fof(f83,plain,
( spl3_10
| spl3_11 ),
inference(avatar_split_clause,[],[f24,f80,f76]) ).
fof(f24,axiom,
( sk_c5 = multiply(sk_c6,sk_c7)
| sk_c6 = inverse(sk_c2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_21) ).
fof(f74,plain,
( spl3_9
| spl3_2 ),
inference(avatar_split_clause,[],[f13,f41,f71]) ).
fof(f13,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c6 = multiply(sk_c1,sk_c7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_10) ).
fof(f69,plain,
( spl3_7
| spl3_8 ),
inference(avatar_split_clause,[],[f16,f66,f62]) ).
fof(f16,axiom,
( sk_c7 = multiply(sk_c3,sk_c6)
| sk_c7 = inverse(sk_c1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_13) ).
fof(f60,plain,
( spl3_5
| spl3_6 ),
inference(avatar_split_clause,[],[f32,f57,f54]) ).
fof(f52,plain,
( spl3_3
| spl3_4 ),
inference(avatar_split_clause,[],[f34,f50,f46]) ).
fof(f44,plain,
( spl3_1
| spl3_2 ),
inference(avatar_split_clause,[],[f23,f41,f37]) ).
fof(f23,axiom,
( sk_c6 = multiply(sk_c4,sk_c5)
| sk_c5 = multiply(sk_c2,sk_c6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_this_20) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP289-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.13 % 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 : n014.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 22:26:48 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (14853)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)
% 0.21/0.51 % (14843)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.51 % (14845)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)
% 0.21/0.52 % (14837)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)
% 0.21/0.52 % (14838)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.53 % (14854)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)
% 0.21/0.53 % (14834)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.53 TRYING [3]
% 0.21/0.53 % (14832)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)
% 0.21/0.53 % (14839)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.21/0.53 % (14839)Instruction limit reached!
% 0.21/0.53 % (14839)------------------------------
% 0.21/0.53 % (14839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (14839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (14839)Termination reason: Unknown
% 0.21/0.53 % (14839)Termination phase: Saturation
% 0.21/0.53
% 0.21/0.53 % (14839)Memory used [KB]: 5373
% 0.21/0.53 % (14839)Time elapsed: 0.135 s
% 0.21/0.53 % (14839)Instructions burned: 3 (million)
% 0.21/0.53 % (14839)------------------------------
% 0.21/0.53 % (14839)------------------------------
% 0.21/0.53 % (14833)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)
% 0.21/0.53 % (14838)Instruction limit reached!
% 0.21/0.53 % (14838)------------------------------
% 0.21/0.53 % (14838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (14841)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.53 % (14840)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)
% 0.21/0.54 % (14842)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)
% 0.21/0.54 % (14830)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)
% 0.21/0.54 % (14838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (14838)Termination reason: Unknown
% 0.21/0.54 % (14838)Termination phase: Saturation
% 0.21/0.54
% 0.21/0.54 % (14838)Memory used [KB]: 5500
% 0.21/0.54 % (14838)Time elapsed: 0.119 s
% 0.21/0.54 % (14838)Instructions burned: 8 (million)
% 0.21/0.54 % (14838)------------------------------
% 0.21/0.54 % (14838)------------------------------
% 0.21/0.54 % (14836)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)
% 0.21/0.54 % (14846)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)
% 0.21/0.54 TRYING [1]
% 0.21/0.54 TRYING [2]
% 0.21/0.54 TRYING [3]
% 0.21/0.54 % (14859)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.54 TRYING [4]
% 0.21/0.55 % (14855)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.55 % (14857)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)
% 0.21/0.55 % (14858)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)
% 0.21/0.55 % (14852)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.21/0.55 % (14856)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.21/0.55 % (14851)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)
% 0.21/0.55 % (14844)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.21/0.55 % (14849)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.55 % (14847)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)
% 0.21/0.55 % (14850)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)
% 0.21/0.55 % (14848)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.21/0.55 % (14831)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)
% 0.21/0.56 % (14860)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)
% 0.21/0.56 % (14841)First to succeed.
% 0.21/0.57 % (14841)Refutation found. Thanks to Tanya!
% 0.21/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.57 % (14841)------------------------------
% 0.21/0.57 % (14841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57 % (14841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57 % (14841)Termination reason: Refutation
% 0.21/0.57
% 0.21/0.57 % (14841)Memory used [KB]: 5756
% 0.21/0.57 % (14841)Time elapsed: 0.169 s
% 0.21/0.57 % (14841)Instructions burned: 22 (million)
% 0.21/0.57 % (14841)------------------------------
% 0.21/0.57 % (14841)------------------------------
% 0.21/0.57 % (14829)Success in time 0.213 s
%------------------------------------------------------------------------------