TSTP Solution File: GRP210-1 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP210-1 : 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 : n005.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 16:20:54 EDT 2022
% Result : Unsatisfiable 1.43s 0.54s
% Output : Refutation 1.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 65
% Syntax : Number of formulae : 336 ( 10 unt; 0 def)
% Number of atoms : 1431 ( 379 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 2136 (1041 ~;1074 |; 0 &)
% ( 21 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 22 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f890,plain,
$false,
inference(avatar_sat_refutation,[],[f56,f65,f70,f79,f88,f89,f94,f95,f96,f97,f102,f103,f108,f109,f110,f111,f112,f113,f118,f119,f120,f121,f122,f123,f124,f125,f126,f127,f128,f129,f130,f131,f132,f133,f134,f135,f136,f149,f150,f151,f152,f187,f219,f230,f245,f250,f356,f393,f540,f679,f736,f741,f780,f842,f852,f863,f889]) ).
fof(f889,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(avatar_contradiction_clause,[],[f888]) ).
fof(f888,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(trivial_inequality_removal,[],[f887]) ).
fof(f887,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(duplicate_literal_removal,[],[f886]) ).
fof(f886,plain,
( sk_c1 != sk_c1
| sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(superposition,[],[f868,f798]) ).
fof(f798,plain,
( sk_c1 = inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f51,f797]) ).
fof(f797,plain,
( sk_c1 = sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f785,f790]) ).
fof(f790,plain,
( ! [X4] : multiply(X4,sk_c2) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f758,f783]) ).
fof(f783,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f771,f758]) ).
fof(f771,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f87,f769]) ).
fof(f769,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f78,f767]) ).
fof(f767,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f406,f765]) ).
fof(f765,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f755,f398]) ).
fof(f398,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = multiply(sk_c10,X0)
| ~ spl0_4 ),
inference(superposition,[],[f3,f64]) ).
fof(f64,plain,
( multiply(sk_c1,sk_c2) = sk_c10
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f62,plain,
( spl0_4
<=> multiply(sk_c1,sk_c2) = sk_c10 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
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(f755,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_1
| ~ spl0_4 ),
inference(backward_demodulation,[],[f1,f754]) ).
fof(f754,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f751,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f751,plain,
( sk_c10 = multiply(inverse(sk_c2),sk_c2)
| ~ spl0_1
| ~ spl0_4 ),
inference(superposition,[],[f172,f399]) ).
fof(f399,plain,
( sk_c2 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_4 ),
inference(forward_demodulation,[],[f397,f51]) ).
fof(f397,plain,
( sk_c2 = multiply(inverse(sk_c1),sk_c10)
| ~ spl0_4 ),
inference(superposition,[],[f172,f64]) ).
fof(f172,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f171,f1]) ).
fof(f171,plain,
! [X0,X1] : multiply(identity,X1) = multiply(inverse(X0),multiply(X0,X1)),
inference(superposition,[],[f3,f2]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f406,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,multiply(sk_c3,X0))) = X0
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f375,f398]) ).
fof(f375,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c3,X0)) = X0
| ~ spl0_10 ),
inference(superposition,[],[f172,f93]) ).
fof(f93,plain,
( sk_c10 = inverse(sk_c3)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f91,plain,
( spl0_10
<=> sk_c10 = inverse(sk_c3) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).
fof(f78,plain,
( sk_c10 = multiply(sk_c3,sk_c9)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f76,plain,
( spl0_7
<=> sk_c10 = multiply(sk_c3,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).
fof(f87,plain,
( sk_c10 = multiply(sk_c2,sk_c9)
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f85]) ).
fof(f85,plain,
( spl0_9
<=> sk_c10 = multiply(sk_c2,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).
fof(f758,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_1
| ~ spl0_4 ),
inference(backward_demodulation,[],[f273,f754]) ).
fof(f273,plain,
! [X4] : multiply(X4,identity) = X4,
inference(forward_demodulation,[],[f261,f262]) ).
fof(f262,plain,
! [X6,X5] : multiply(inverse(inverse(X5)),X6) = multiply(X5,X6),
inference(superposition,[],[f172,f172]) ).
fof(f261,plain,
! [X4] : multiply(inverse(inverse(X4)),identity) = X4,
inference(superposition,[],[f172,f2]) ).
fof(f785,plain,
( sk_c2 = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f64,f783]) ).
fof(f51,plain,
( sk_c2 = inverse(sk_c1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f49,plain,
( spl0_1
<=> sk_c2 = inverse(sk_c1) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f868,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c1 != X6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f867,f801]) ).
fof(f801,plain,
( sk_c1 = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f783,f797]) ).
fof(f867,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c10 != X6 )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f866,f806]) ).
fof(f806,plain,
( ! [X4] : multiply(X4,sk_c1) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f790,f797]) ).
fof(f866,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c10 != multiply(X6,sk_c1) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f865,f816]) ).
fof(f816,plain,
( sk_c1 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f791,f797]) ).
fof(f791,plain,
( sk_c2 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f769,f783]) ).
fof(f865,plain,
( ! [X6] :
( sk_c1 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_17 ),
inference(forward_demodulation,[],[f148,f801]) ).
fof(f148,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c9) )
| ~ spl0_17 ),
inference(avatar_component_clause,[],[f147]) ).
fof(f147,plain,
( spl0_17
<=> ! [X6] :
( sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).
fof(f863,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_26 ),
inference(avatar_contradiction_clause,[],[f862]) ).
fof(f862,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_26 ),
inference(trivial_inequality_removal,[],[f861]) ).
fof(f861,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_26 ),
inference(forward_demodulation,[],[f860,f803]) ).
fof(f803,plain,
( identity = sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f787,f797]) ).
fof(f787,plain,
( identity = sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f754,f783]) ).
fof(f860,plain,
( identity != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_26 ),
inference(forward_demodulation,[],[f240,f816]) ).
fof(f240,plain,
( identity != sk_c9
| spl0_26 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f238,plain,
( spl0_26
<=> identity = sk_c9 ),
introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).
fof(f852,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_27 ),
inference(avatar_contradiction_clause,[],[f851]) ).
fof(f851,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_27 ),
inference(trivial_inequality_removal,[],[f850]) ).
fof(f850,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_27 ),
inference(forward_demodulation,[],[f849,f816]) ).
fof(f849,plain,
( sk_c1 != sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_27 ),
inference(forward_demodulation,[],[f848,f798]) ).
fof(f848,plain,
( sk_c9 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_27 ),
inference(forward_demodulation,[],[f847,f811]) ).
fof(f811,plain,
( ! [X0] : multiply(sk_c1,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f805,f798]) ).
fof(f805,plain,
( ! [X0] : multiply(inverse(sk_c1),X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f789,f797]) ).
fof(f789,plain,
( ! [X0] : multiply(inverse(sk_c2),X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f757,f783]) ).
fof(f757,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl0_1
| ~ spl0_4 ),
inference(backward_demodulation,[],[f259,f754]) ).
fof(f259,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(superposition,[],[f172,f1]) ).
fof(f847,plain,
( sk_c9 != multiply(sk_c1,inverse(sk_c1))
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_27 ),
inference(forward_demodulation,[],[f244,f801]) ).
fof(f244,plain,
( sk_c9 != multiply(sk_c10,inverse(sk_c10))
| spl0_27 ),
inference(avatar_component_clause,[],[f242]) ).
fof(f242,plain,
( spl0_27
<=> sk_c9 = multiply(sk_c10,inverse(sk_c10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).
fof(f842,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_18 ),
inference(avatar_contradiction_clause,[],[f841]) ).
fof(f841,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_18 ),
inference(trivial_inequality_removal,[],[f840]) ).
fof(f840,plain,
( sk_c1 != sk_c1
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_18 ),
inference(forward_demodulation,[],[f839,f801]) ).
fof(f839,plain,
( sk_c1 != sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_18 ),
inference(forward_demodulation,[],[f838,f798]) ).
fof(f838,plain,
( sk_c10 != inverse(sk_c1)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| spl0_18 ),
inference(forward_demodulation,[],[f182,f803]) ).
fof(f182,plain,
( sk_c10 != inverse(identity)
| spl0_18 ),
inference(avatar_component_clause,[],[f180]) ).
fof(f180,plain,
( spl0_18
<=> sk_c10 = inverse(identity) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).
fof(f780,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| spl0_19 ),
inference(avatar_contradiction_clause,[],[f779]) ).
fof(f779,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| spl0_19 ),
inference(trivial_inequality_removal,[],[f776]) ).
fof(f776,plain,
( sk_c10 != sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10
| spl0_19 ),
inference(backward_demodulation,[],[f744,f769]) ).
fof(f744,plain,
( sk_c10 != sk_c9
| ~ spl0_1
| ~ spl0_4
| spl0_19 ),
inference(forward_demodulation,[],[f743,f64]) ).
fof(f743,plain,
( multiply(sk_c1,sk_c2) != sk_c9
| ~ spl0_1
| ~ spl0_4
| spl0_19 ),
inference(forward_demodulation,[],[f742,f399]) ).
fof(f742,plain,
( sk_c9 != multiply(sk_c1,multiply(sk_c2,sk_c10))
| ~ spl0_4
| spl0_19 ),
inference(forward_demodulation,[],[f186,f398]) ).
fof(f186,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| spl0_19 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f184,plain,
( spl0_19
<=> sk_c9 = multiply(sk_c10,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).
fof(f741,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f740]) ).
fof(f740,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f739]) ).
fof(f739,plain,
( sk_c2 != sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f738,f705]) ).
fof(f705,plain,
( sk_c2 = multiply(sk_c2,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f399,f697]) ).
fof(f697,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19 ),
inference(forward_demodulation,[],[f690,f399]) ).
fof(f690,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f87,f687]) ).
fof(f687,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f686,f64]) ).
fof(f686,plain,
( multiply(sk_c1,sk_c2) = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_19 ),
inference(backward_demodulation,[],[f685,f399]) ).
fof(f685,plain,
( sk_c9 = multiply(sk_c1,multiply(sk_c2,sk_c10))
| ~ spl0_4
| ~ spl0_19 ),
inference(forward_demodulation,[],[f185,f398]) ).
fof(f185,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_19 ),
inference(avatar_component_clause,[],[f184]) ).
fof(f738,plain,
( sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f737]) ).
fof(f737,plain,
( sk_c2 != multiply(sk_c2,sk_c2)
| sk_c2 != sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f731,f708]) ).
fof(f708,plain,
( sk_c2 = multiply(sk_c3,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f689,f697]) ).
fof(f689,plain,
( sk_c10 = multiply(sk_c3,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_7
| ~ spl0_19 ),
inference(backward_demodulation,[],[f78,f687]) ).
fof(f731,plain,
( sk_c2 != multiply(sk_c3,sk_c2)
| sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f715,f701]) ).
fof(f701,plain,
( sk_c2 = inverse(sk_c3)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_10
| ~ spl0_19 ),
inference(backward_demodulation,[],[f93,f697]) ).
fof(f715,plain,
( ! [X3] :
( sk_c2 != multiply(inverse(X3),sk_c2)
| sk_c2 != multiply(X3,inverse(X3)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f714,f697]) ).
fof(f714,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c2 != multiply(X3,inverse(X3)) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f693,f697]) ).
fof(f693,plain,
( ! [X3] :
( sk_c10 != multiply(X3,inverse(X3))
| sk_c10 != multiply(inverse(X3),sk_c10) )
| ~ spl0_1
| ~ spl0_4
| ~ spl0_16
| ~ spl0_19 ),
inference(backward_demodulation,[],[f145,f687]) ).
fof(f145,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_16 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f144,plain,
( spl0_16
<=> ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != multiply(X3,inverse(X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).
fof(f736,plain,
( ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f735]) ).
fof(f735,plain,
( $false
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f734]) ).
fof(f734,plain,
( sk_c2 != sk_c2
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f733,f705]) ).
fof(f733,plain,
( sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f732]) ).
fof(f732,plain,
( sk_c2 != sk_c2
| sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f730,f699]) ).
fof(f699,plain,
( sk_c2 = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_19 ),
inference(backward_demodulation,[],[f64,f697]) ).
fof(f730,plain,
( sk_c2 != multiply(sk_c1,sk_c2)
| sk_c2 != multiply(sk_c2,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_9
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f715,f51]) ).
fof(f679,plain,
( ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(avatar_contradiction_clause,[],[f678]) ).
fof(f678,plain,
( $false
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(trivial_inequality_removal,[],[f677]) ).
fof(f677,plain,
( sk_c2 != sk_c2
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f676,f625]) ).
fof(f625,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f602,f580]) ).
fof(f580,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[],[f273,f578]) ).
fof(f578,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f577,f64]) ).
fof(f577,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(backward_demodulation,[],[f564,f576]) ).
fof(f576,plain,
( sk_c2 = multiply(sk_c2,sk_c7)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f575,f51]) ).
fof(f575,plain,
( inverse(sk_c1) = multiply(sk_c2,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f571,f273]) ).
fof(f571,plain,
( multiply(inverse(sk_c1),identity) = multiply(sk_c2,sk_c7)
| ~ spl0_4
| ~ spl0_5 ),
inference(superposition,[],[f172,f564]) ).
fof(f564,plain,
( identity = multiply(sk_c1,multiply(sk_c2,sk_c7))
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f169,f398]) ).
fof(f169,plain,
( identity = multiply(sk_c10,sk_c7)
| ~ spl0_5 ),
inference(superposition,[],[f2,f69]) ).
fof(f69,plain,
( sk_c10 = inverse(sk_c7)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f67]) ).
fof(f67,plain,
( spl0_5
<=> sk_c10 = inverse(sk_c7) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).
fof(f602,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f87,f600]) ).
fof(f600,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f78,f598]) ).
fof(f598,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f406,f596]) ).
fof(f596,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f592,f569]) ).
fof(f569,plain,
( ! [X0] : multiply(sk_c8,X0) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f568,f563]) ).
fof(f563,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c1,multiply(sk_c2,X0)))
| ~ spl0_4
| ~ spl0_13 ),
inference(forward_demodulation,[],[f166,f398]) ).
fof(f166,plain,
( ! [X0] : multiply(sk_c8,X0) = multiply(sk_c7,multiply(sk_c10,X0))
| ~ spl0_13 ),
inference(superposition,[],[f3,f117]) ).
fof(f117,plain,
( sk_c8 = multiply(sk_c7,sk_c10)
| ~ spl0_13 ),
inference(avatar_component_clause,[],[f115]) ).
fof(f115,plain,
( spl0_13
<=> sk_c8 = multiply(sk_c7,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).
fof(f568,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,multiply(sk_c2,X0))) = X0
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_demodulation,[],[f567,f398]) ).
fof(f567,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c10,X0)) = X0
| ~ spl0_5 ),
inference(superposition,[],[f172,f562]) ).
fof(f562,plain,
( sk_c7 = inverse(sk_c10)
| ~ spl0_5 ),
inference(backward_demodulation,[],[f266,f273]) ).
fof(f266,plain,
( sk_c7 = multiply(inverse(sk_c10),identity)
| ~ spl0_5 ),
inference(superposition,[],[f172,f169]) ).
fof(f592,plain,
( ! [X0] : multiply(sk_c8,multiply(sk_c1,multiply(sk_c2,X0))) = X0
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(backward_demodulation,[],[f570,f584]) ).
fof(f584,plain,
( sk_c8 = sk_c7
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(backward_demodulation,[],[f117,f580]) ).
fof(f570,plain,
( ! [X0] : multiply(sk_c7,multiply(sk_c1,multiply(sk_c2,X0))) = X0
| ~ spl0_4
| ~ spl0_5
| ~ spl0_13 ),
inference(backward_demodulation,[],[f563,f569]) ).
fof(f676,plain,
( sk_c2 != sk_c10
| ~ spl0_1
| spl0_2
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(forward_demodulation,[],[f559,f631]) ).
fof(f631,plain,
( sk_c2 = sk_c9
| ~ spl0_1
| ~ spl0_4
| ~ spl0_5
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10
| ~ spl0_13 ),
inference(backward_demodulation,[],[f600,f625]) ).
fof(f559,plain,
( sk_c10 != sk_c9
| spl0_2
| ~ spl0_5
| ~ spl0_13 ),
inference(backward_demodulation,[],[f54,f558]) ).
fof(f558,plain,
( sk_c10 = multiply(sk_c10,sk_c8)
| ~ spl0_5
| ~ spl0_13 ),
inference(forward_demodulation,[],[f270,f69]) ).
fof(f270,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c8)
| ~ spl0_13 ),
inference(superposition,[],[f172,f117]) ).
fof(f54,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f53,plain,
( spl0_2
<=> sk_c9 = multiply(sk_c10,sk_c8) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f540,plain,
( ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(avatar_contradiction_clause,[],[f539]) ).
fof(f539,plain,
( $false
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(trivial_inequality_removal,[],[f538]) ).
fof(f538,plain,
( sk_c2 != sk_c2
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f537,f504]) ).
fof(f504,plain,
( sk_c2 = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f494,f399]) ).
fof(f494,plain,
( sk_c10 = multiply(sk_c2,sk_c10)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f87,f493]) ).
fof(f493,plain,
( sk_c10 = sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_10 ),
inference(backward_demodulation,[],[f78,f491]) ).
fof(f491,plain,
( ! [X0] : multiply(sk_c3,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_10 ),
inference(backward_demodulation,[],[f406,f485]) ).
fof(f485,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,X0)) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f405,f483]) ).
fof(f483,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f481,f263]) ).
fof(f263,plain,
( ! [X7] : multiply(inverse(sk_c10),X7) = multiply(sk_c4,X7)
| ~ spl0_3 ),
inference(superposition,[],[f172,f221]) ).
fof(f221,plain,
( ! [X0] : multiply(sk_c10,multiply(sk_c4,X0)) = X0
| ~ spl0_3 ),
inference(forward_demodulation,[],[f220,f1]) ).
fof(f220,plain,
( ! [X0] : multiply(identity,X0) = multiply(sk_c10,multiply(sk_c4,X0))
| ~ spl0_3 ),
inference(superposition,[],[f3,f168]) ).
fof(f168,plain,
( identity = multiply(sk_c10,sk_c4)
| ~ spl0_3 ),
inference(superposition,[],[f2,f60]) ).
fof(f60,plain,
( sk_c10 = inverse(sk_c4)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl0_3
<=> sk_c10 = inverse(sk_c4) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f481,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f259,f478]) ).
fof(f478,plain,
( identity = sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f477,f64]) ).
fof(f477,plain,
( identity = multiply(sk_c1,sk_c2)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f408,f476]) ).
fof(f476,plain,
( sk_c2 = multiply(sk_c2,sk_c4)
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f475,f51]) ).
fof(f475,plain,
( inverse(sk_c1) = multiply(sk_c2,sk_c4)
| ~ spl0_3
| ~ spl0_4 ),
inference(forward_demodulation,[],[f473,f273]) ).
fof(f473,plain,
( multiply(sk_c2,sk_c4) = multiply(inverse(sk_c1),identity)
| ~ spl0_3
| ~ spl0_4 ),
inference(superposition,[],[f172,f408]) ).
fof(f408,plain,
( identity = multiply(sk_c1,multiply(sk_c2,sk_c4))
| ~ spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f168,f398]) ).
fof(f405,plain,
( ! [X0] : multiply(sk_c1,multiply(sk_c2,multiply(sk_c4,X0))) = X0
| ~ spl0_3
| ~ spl0_4 ),
inference(backward_demodulation,[],[f221,f398]) ).
fof(f537,plain,
( sk_c2 != sk_c10
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_6
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(forward_demodulation,[],[f488,f510]) ).
fof(f510,plain,
( sk_c2 = sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| ~ spl0_7
| ~ spl0_9
| ~ spl0_10 ),
inference(backward_demodulation,[],[f493,f504]) ).
fof(f488,plain,
( sk_c10 != sk_c9
| ~ spl0_1
| ~ spl0_3
| ~ spl0_4
| spl0_6 ),
inference(backward_demodulation,[],[f73,f483]) ).
fof(f73,plain,
( sk_c10 != multiply(sk_c4,sk_c9)
| spl0_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f72,plain,
( spl0_6
<=> sk_c10 = multiply(sk_c4,sk_c9) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).
fof(f393,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f392]) ).
fof(f392,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f391]) ).
fof(f391,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f390,f303]) ).
fof(f303,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f185,f298]) ).
fof(f298,plain,
( sk_c10 = sk_c9
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f297,f185]) ).
fof(f297,plain,
( sk_c10 = multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f296,f60]) ).
fof(f296,plain,
( sk_c10 = multiply(inverse(sk_c4),sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f295,f277]) ).
fof(f277,plain,
( sk_c4 = sk_c7
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f276,f273]) ).
fof(f276,plain,
( sk_c7 = multiply(sk_c4,identity)
| ~ spl0_3
| ~ spl0_5 ),
inference(forward_demodulation,[],[f266,f263]) ).
fof(f295,plain,
( sk_c10 = multiply(inverse(sk_c7),sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6
| ~ spl0_13 ),
inference(forward_demodulation,[],[f270,f292]) ).
fof(f292,plain,
( sk_c10 = sk_c8
| ~ spl0_2
| ~ spl0_3
| ~ spl0_6 ),
inference(forward_demodulation,[],[f291,f74]) ).
fof(f74,plain,
( sk_c10 = multiply(sk_c4,sk_c9)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f291,plain,
( multiply(sk_c4,sk_c9) = sk_c8
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_demodulation,[],[f265,f263]) ).
fof(f265,plain,
( sk_c8 = multiply(inverse(sk_c10),sk_c9)
| ~ spl0_2 ),
inference(superposition,[],[f172,f55]) ).
fof(f55,plain,
( sk_c9 = multiply(sk_c10,sk_c8)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f53]) ).
fof(f390,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f389]) ).
fof(f389,plain,
( sk_c10 != multiply(sk_c10,sk_c10)
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f377,f293]) ).
fof(f293,plain,
( sk_c10 = multiply(sk_c4,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13 ),
inference(backward_demodulation,[],[f282,f292]) ).
fof(f282,plain,
( sk_c8 = multiply(sk_c4,sk_c10)
| ~ spl0_3
| ~ spl0_5
| ~ spl0_13 ),
inference(backward_demodulation,[],[f117,f277]) ).
fof(f377,plain,
( sk_c10 != multiply(sk_c4,sk_c10)
| sk_c10 != multiply(sk_c10,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(superposition,[],[f359,f60]) ).
fof(f359,plain,
( ! [X3] :
( sk_c10 != multiply(inverse(X3),sk_c10)
| sk_c10 != multiply(X3,inverse(X3)) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_16
| ~ spl0_19 ),
inference(forward_demodulation,[],[f145,f298]) ).
fof(f356,plain,
( ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(avatar_contradiction_clause,[],[f355]) ).
fof(f355,plain,
( $false
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(trivial_inequality_removal,[],[f354]) ).
fof(f354,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(duplicate_literal_removal,[],[f353]) ).
fof(f353,plain,
( sk_c10 != sk_c10
| sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(superposition,[],[f352,f329]) ).
fof(f329,plain,
( sk_c10 = inverse(sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f60,f328]) ).
fof(f328,plain,
( sk_c10 = sk_c4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f318,f324]) ).
fof(f324,plain,
( ! [X0] : multiply(sk_c10,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f221,f322]) ).
fof(f322,plain,
( ! [X0] : multiply(sk_c4,X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f319,f263]) ).
fof(f319,plain,
( ! [X0] : multiply(inverse(sk_c10),X0) = X0
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f259,f315]) ).
fof(f315,plain,
( identity = sk_c10
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f314,f2]) ).
fof(f314,plain,
( sk_c10 = multiply(inverse(sk_c10),sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f304,f306]) ).
fof(f306,plain,
( sk_c10 = sk_c6
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(forward_demodulation,[],[f305,f300]) ).
fof(f300,plain,
( sk_c10 = multiply(sk_c6,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f101,f298]) ).
fof(f101,plain,
( sk_c9 = multiply(sk_c6,sk_c10)
| ~ spl0_11 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f99,plain,
( spl0_11
<=> sk_c9 = multiply(sk_c6,sk_c10) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).
fof(f305,plain,
( sk_c6 = multiply(sk_c6,sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f275,f298]) ).
fof(f275,plain,
( sk_c6 = multiply(sk_c6,sk_c9)
| ~ spl0_8
| ~ spl0_12 ),
inference(forward_demodulation,[],[f268,f83]) ).
fof(f83,plain,
( sk_c6 = inverse(sk_c5)
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f81,plain,
( spl0_8
<=> sk_c6 = inverse(sk_c5) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).
fof(f268,plain,
( sk_c6 = multiply(inverse(sk_c5),sk_c9)
| ~ spl0_12 ),
inference(superposition,[],[f172,f107]) ).
fof(f107,plain,
( sk_c9 = multiply(sk_c5,sk_c6)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f105]) ).
fof(f105,plain,
( spl0_12
<=> sk_c9 = multiply(sk_c5,sk_c6) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).
fof(f304,plain,
( sk_c10 = multiply(inverse(sk_c6),sk_c10)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_11
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f269,f298]) ).
fof(f269,plain,
( sk_c10 = multiply(inverse(sk_c6),sk_c9)
| ~ spl0_11 ),
inference(superposition,[],[f172,f101]) ).
fof(f318,plain,
( sk_c10 = multiply(sk_c10,sk_c4)
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f168,f315]) ).
fof(f352,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != X6 )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f351,f320]) ).
fof(f320,plain,
( ! [X4] : multiply(X4,sk_c10) = X4
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_19 ),
inference(backward_demodulation,[],[f273,f315]) ).
fof(f351,plain,
( ! [X6] :
( sk_c10 != inverse(X6)
| sk_c10 != multiply(X6,sk_c10) )
| ~ spl0_2
| ~ spl0_3
| ~ spl0_5
| ~ spl0_6
| ~ spl0_13
| ~ spl0_17
| ~ spl0_19 ),
inference(forward_demodulation,[],[f148,f298]) ).
fof(f250,plain,
( ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(avatar_contradiction_clause,[],[f249]) ).
fof(f249,plain,
( $false
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f248]) ).
fof(f248,plain,
( sk_c9 != sk_c9
| ~ spl0_8
| ~ spl0_11
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f247,f101]) ).
fof(f247,plain,
( sk_c9 != multiply(sk_c6,sk_c10)
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15 ),
inference(trivial_inequality_removal,[],[f246]) ).
fof(f246,plain,
( sk_c9 != multiply(sk_c6,sk_c10)
| sk_c9 != sk_c9
| ~ spl0_8
| ~ spl0_12
| ~ spl0_15 ),
inference(forward_demodulation,[],[f233,f107]) ).
fof(f233,plain,
( sk_c9 != multiply(sk_c5,sk_c6)
| sk_c9 != multiply(sk_c6,sk_c10)
| ~ spl0_8
| ~ spl0_15 ),
inference(superposition,[],[f142,f83]) ).
fof(f142,plain,
( ! [X7] :
( sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c9 != multiply(X7,inverse(X7)) )
| ~ spl0_15 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f141,plain,
( spl0_15
<=> ! [X7] :
( sk_c9 != multiply(X7,inverse(X7))
| sk_c9 != multiply(inverse(X7),sk_c10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).
fof(f245,plain,
( ~ spl0_26
| ~ spl0_27
| ~ spl0_15 ),
inference(avatar_split_clause,[],[f234,f141,f242,f238]) ).
fof(f234,plain,
( sk_c9 != multiply(sk_c10,inverse(sk_c10))
| identity != sk_c9
| ~ spl0_15 ),
inference(superposition,[],[f142,f2]) ).
fof(f230,plain,
( spl0_19
| ~ spl0_3
| ~ spl0_6 ),
inference(avatar_split_clause,[],[f222,f72,f58,f184]) ).
fof(f222,plain,
( sk_c9 = multiply(sk_c10,sk_c10)
| ~ spl0_3
| ~ spl0_6 ),
inference(superposition,[],[f221,f74]) ).
fof(f219,plain,
( ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(avatar_contradiction_clause,[],[f218]) ).
fof(f218,plain,
( $false
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f217]) ).
fof(f217,plain,
( sk_c10 != sk_c10
| ~ spl0_2
| ~ spl0_5
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f216,f69]) ).
fof(f216,plain,
( sk_c10 != inverse(sk_c7)
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f215]) ).
fof(f215,plain,
( sk_c10 != inverse(sk_c7)
| sk_c9 != sk_c9
| ~ spl0_2
| ~ spl0_13
| ~ spl0_14 ),
inference(forward_demodulation,[],[f177,f55]) ).
fof(f177,plain,
( sk_c9 != multiply(sk_c10,sk_c8)
| sk_c10 != inverse(sk_c7)
| ~ spl0_13
| ~ spl0_14 ),
inference(superposition,[],[f139,f117]) ).
fof(f139,plain,
( ! [X10] :
( sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != inverse(X10) )
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f138,plain,
( spl0_14
<=> ! [X10] :
( sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).
fof(f187,plain,
( ~ spl0_18
| ~ spl0_19
| ~ spl0_14 ),
inference(avatar_split_clause,[],[f173,f138,f184,f180]) ).
fof(f173,plain,
( sk_c9 != multiply(sk_c10,sk_c10)
| sk_c10 != inverse(identity)
| ~ spl0_14 ),
inference(superposition,[],[f139,f1]) ).
fof(f152,plain,
( spl0_4
| spl0_6 ),
inference(avatar_split_clause,[],[f5,f72,f62]) ).
fof(f5,axiom,
( sk_c10 = multiply(sk_c4,sk_c9)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_2) ).
fof(f151,plain,
( spl0_7
| spl0_11 ),
inference(avatar_split_clause,[],[f40,f99,f76]) ).
fof(f40,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_37) ).
fof(f150,plain,
( spl0_11
| spl0_4 ),
inference(avatar_split_clause,[],[f8,f62,f99]) ).
fof(f8,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c9 = multiply(sk_c6,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_5) ).
fof(f149,plain,
( spl0_14
| spl0_15
| spl0_16
| spl0_17
| spl0_17 ),
inference(avatar_split_clause,[],[f47,f147,f147,f144,f141,f138]) ).
fof(f47,plain,
! [X3,X10,X6,X7,X5] :
( sk_c10 != multiply(X5,sk_c9)
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != inverse(X5)
| sk_c10 != multiply(inverse(X3),sk_c9)
| sk_c10 != inverse(X6)
| sk_c9 != multiply(X7,inverse(X7))
| sk_c10 != multiply(X3,inverse(X3))
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10)) ),
inference(equality_resolution,[],[f46]) ).
fof(f46,plain,
! [X3,X10,X6,X7,X4,X5] :
( sk_c9 != multiply(X7,inverse(X7))
| sk_c9 != multiply(inverse(X7),sk_c10)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X5,sk_c9)
| inverse(X3) != X4
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X3,X4) ),
inference(equality_resolution,[],[f45]) ).
fof(f45,plain,
! [X3,X10,X8,X6,X7,X4,X5] :
( sk_c9 != multiply(X7,X8)
| sk_c9 != multiply(X8,sk_c10)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X10)
| sk_c9 != multiply(sk_c10,multiply(X10,sk_c10))
| sk_c10 != multiply(X5,sk_c9)
| inverse(X7) != X8
| inverse(X3) != X4
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X3,X4) ),
inference(equality_resolution,[],[f44]) ).
fof(f44,axiom,
! [X3,X10,X8,X6,X9,X7,X4,X5] :
( sk_c9 != multiply(X7,X8)
| sk_c9 != multiply(X8,sk_c10)
| sk_c10 != multiply(X4,sk_c9)
| sk_c10 != inverse(X6)
| sk_c10 != inverse(X5)
| sk_c10 != inverse(X10)
| multiply(X10,sk_c10) != X9
| sk_c9 != multiply(sk_c10,X9)
| sk_c10 != multiply(X5,sk_c9)
| inverse(X7) != X8
| inverse(X3) != X4
| sk_c10 != multiply(X6,sk_c9)
| sk_c10 != multiply(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_41) ).
fof(f136,plain,
( spl0_1
| spl0_12 ),
inference(avatar_split_clause,[],[f14,f105,f49]) ).
fof(f14,axiom,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_11) ).
fof(f135,plain,
( spl0_2
| spl0_7 ),
inference(avatar_split_clause,[],[f41,f76,f53]) ).
fof(f41,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c9 = multiply(sk_c10,sk_c8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_38) ).
fof(f134,plain,
( spl0_4
| spl0_2 ),
inference(avatar_split_clause,[],[f9,f53,f62]) ).
fof(f9,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_6) ).
fof(f133,plain,
( spl0_7
| spl0_3 ),
inference(avatar_split_clause,[],[f36,f58,f76]) ).
fof(f36,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_33) ).
fof(f132,plain,
( spl0_6
| spl0_1 ),
inference(avatar_split_clause,[],[f13,f49,f72]) ).
fof(f13,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_10) ).
fof(f131,plain,
( spl0_13
| spl0_10 ),
inference(avatar_split_clause,[],[f34,f91,f115]) ).
fof(f34,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_31) ).
fof(f130,plain,
( spl0_13
| spl0_9 ),
inference(avatar_split_clause,[],[f26,f85,f115]) ).
fof(f26,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_23) ).
fof(f129,plain,
( spl0_10
| spl0_2 ),
inference(avatar_split_clause,[],[f33,f53,f91]) ).
fof(f33,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_30) ).
fof(f128,plain,
( spl0_6
| spl0_9 ),
inference(avatar_split_clause,[],[f21,f85,f72]) ).
fof(f21,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_18) ).
fof(f127,plain,
( spl0_9
| spl0_3 ),
inference(avatar_split_clause,[],[f20,f58,f85]) ).
fof(f20,axiom,
( sk_c10 = inverse(sk_c4)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_17) ).
fof(f126,plain,
( spl0_9
| spl0_11 ),
inference(avatar_split_clause,[],[f24,f99,f85]) ).
fof(f24,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_21) ).
fof(f125,plain,
( spl0_5
| spl0_4 ),
inference(avatar_split_clause,[],[f11,f62,f67]) ).
fof(f11,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_8) ).
fof(f124,plain,
( spl0_4
| spl0_13 ),
inference(avatar_split_clause,[],[f10,f115,f62]) ).
fof(f10,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| multiply(sk_c1,sk_c2) = sk_c10 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_7) ).
fof(f123,plain,
( spl0_1
| spl0_8 ),
inference(avatar_split_clause,[],[f15,f81,f49]) ).
fof(f15,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_12) ).
fof(f122,plain,
( spl0_9
| spl0_2 ),
inference(avatar_split_clause,[],[f25,f53,f85]) ).
fof(f25,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c10 = multiply(sk_c2,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_22) ).
fof(f121,plain,
( spl0_13
| spl0_7 ),
inference(avatar_split_clause,[],[f42,f76,f115]) ).
fof(f42,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c8 = multiply(sk_c7,sk_c10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_39) ).
fof(f120,plain,
( spl0_3
| spl0_10 ),
inference(avatar_split_clause,[],[f28,f91,f58]) ).
fof(f28,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_25) ).
fof(f119,plain,
( spl0_12
| spl0_9 ),
inference(avatar_split_clause,[],[f22,f85,f105]) ).
fof(f22,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_19) ).
fof(f118,plain,
( spl0_1
| spl0_13 ),
inference(avatar_split_clause,[],[f18,f115,f49]) ).
fof(f18,axiom,
( sk_c8 = multiply(sk_c7,sk_c10)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_15) ).
fof(f113,plain,
( spl0_7
| spl0_12 ),
inference(avatar_split_clause,[],[f38,f105,f76]) ).
fof(f38,axiom,
( sk_c9 = multiply(sk_c5,sk_c6)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_35) ).
fof(f112,plain,
( spl0_5
| spl0_9 ),
inference(avatar_split_clause,[],[f27,f85,f67]) ).
fof(f27,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_24) ).
fof(f111,plain,
( spl0_1
| spl0_11 ),
inference(avatar_split_clause,[],[f16,f99,f49]) ).
fof(f16,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_13) ).
fof(f110,plain,
( spl0_12
| spl0_4 ),
inference(avatar_split_clause,[],[f6,f62,f105]) ).
fof(f6,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_3) ).
fof(f109,plain,
( spl0_8
| spl0_4 ),
inference(avatar_split_clause,[],[f7,f62,f81]) ).
fof(f7,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_4) ).
fof(f108,plain,
( spl0_12
| spl0_10 ),
inference(avatar_split_clause,[],[f30,f91,f105]) ).
fof(f30,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c9 = multiply(sk_c5,sk_c6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_27) ).
fof(f103,plain,
( spl0_10
| spl0_8 ),
inference(avatar_split_clause,[],[f31,f81,f91]) ).
fof(f31,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_28) ).
fof(f102,plain,
( spl0_10
| spl0_11 ),
inference(avatar_split_clause,[],[f32,f99,f91]) ).
fof(f32,axiom,
( sk_c9 = multiply(sk_c6,sk_c10)
| sk_c10 = inverse(sk_c3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_29) ).
fof(f97,plain,
( spl0_6
| spl0_10 ),
inference(avatar_split_clause,[],[f29,f91,f72]) ).
fof(f29,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_26) ).
fof(f96,plain,
( spl0_7
| spl0_5 ),
inference(avatar_split_clause,[],[f43,f67,f76]) ).
fof(f43,axiom,
( sk_c10 = inverse(sk_c7)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_40) ).
fof(f95,plain,
( spl0_7
| spl0_8 ),
inference(avatar_split_clause,[],[f39,f81,f76]) ).
fof(f39,axiom,
( sk_c6 = inverse(sk_c5)
| sk_c10 = multiply(sk_c3,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_36) ).
fof(f94,plain,
( spl0_5
| spl0_10 ),
inference(avatar_split_clause,[],[f35,f91,f67]) ).
fof(f35,axiom,
( sk_c10 = inverse(sk_c3)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_32) ).
fof(f89,plain,
( spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f12,f49,f58]) ).
fof(f12,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_9) ).
fof(f88,plain,
( spl0_8
| spl0_9 ),
inference(avatar_split_clause,[],[f23,f85,f81]) ).
fof(f23,axiom,
( sk_c10 = multiply(sk_c2,sk_c9)
| sk_c6 = inverse(sk_c5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_20) ).
fof(f79,plain,
( spl0_6
| spl0_7 ),
inference(avatar_split_clause,[],[f37,f76,f72]) ).
fof(f37,axiom,
( sk_c10 = multiply(sk_c3,sk_c9)
| sk_c10 = multiply(sk_c4,sk_c9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_34) ).
fof(f70,plain,
( spl0_5
| spl0_1 ),
inference(avatar_split_clause,[],[f19,f49,f67]) ).
fof(f19,axiom,
( sk_c2 = inverse(sk_c1)
| sk_c10 = inverse(sk_c7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_16) ).
fof(f65,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f4,f62,f58]) ).
fof(f4,axiom,
( multiply(sk_c1,sk_c2) = sk_c10
| sk_c10 = inverse(sk_c4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_1) ).
fof(f56,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f17,f53,f49]) ).
fof(f17,axiom,
( sk_c9 = multiply(sk_c10,sk_c8)
| sk_c2 = inverse(sk_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_this_14) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP210-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Mon Aug 29 22:20:33 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.43 % (1424)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)
% 0.18/0.43 % (1416)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)
% 0.18/0.45 % (1408)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.46 % (1408)Instruction limit reached!
% 0.18/0.46 % (1408)------------------------------
% 0.18/0.46 % (1408)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.46 % (1408)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.46 % (1408)Termination reason: Unknown
% 0.18/0.46 % (1408)Termination phase: Saturation
% 0.18/0.46
% 0.18/0.46 % (1408)Memory used [KB]: 5500
% 0.18/0.46 % (1408)Time elapsed: 0.057 s
% 0.18/0.46 % (1408)Instructions burned: 7 (million)
% 0.18/0.46 % (1408)------------------------------
% 0.18/0.46 % (1408)------------------------------
% 0.18/0.49 % (1414)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.50 % (1407)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)
% 0.18/0.50 % (1410)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)
% 0.18/0.50 % (1413)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.50 % (1431)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)
% 0.18/0.50 % (1422)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.50 % (1405)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (1412)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)
% 0.18/0.50 % (1415)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)
% 0.18/0.51 % (1403)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)
% 0.18/0.51 % (1400)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)
% 0.18/0.51 % (1401)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)
% 0.18/0.51 % (1402)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)
% 0.18/0.51 TRYING [1]
% 0.18/0.51 TRYING [2]
% 0.18/0.51 % (1411)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.52 % (1421)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)
% 0.18/0.52 % (1423)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)
% 0.18/0.52 % (1417)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)
% 0.18/0.52 TRYING [1]
% 0.18/0.52 TRYING [2]
% 0.18/0.52 % (1427)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)
% 0.18/0.52 TRYING [3]
% 0.18/0.52 % (1426)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.52 % (1406)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)
% 0.18/0.53 % (1425)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.53 % (1419)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (1409)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.53 % (1409)Instruction limit reached!
% 0.18/0.53 % (1409)------------------------------
% 0.18/0.53 % (1409)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (1409)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (1409)Termination reason: Unknown
% 0.18/0.53 % (1409)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (1409)Memory used [KB]: 5373
% 0.18/0.53 % (1409)Time elapsed: 0.002 s
% 0.18/0.53 % (1409)Instructions burned: 2 (million)
% 0.18/0.53 % (1409)------------------------------
% 0.18/0.53 % (1409)------------------------------
% 0.18/0.53 % (1416)Instruction limit reached!
% 0.18/0.53 % (1416)------------------------------
% 0.18/0.53 % (1416)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.53 % (1416)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.53 % (1416)Termination reason: Unknown
% 0.18/0.53 % (1416)Termination phase: Saturation
% 0.18/0.53
% 0.18/0.53 % (1416)Memory used [KB]: 1663
% 0.18/0.53 % (1416)Time elapsed: 0.126 s
% 0.18/0.53 % (1416)Instructions burned: 75 (million)
% 0.18/0.53 % (1416)------------------------------
% 0.18/0.53 % (1416)------------------------------
% 1.43/0.53 % (1418)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.43/0.53 % (1428)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)
% 1.43/0.53 TRYING [3]
% 1.43/0.53 % (1431)First to succeed.
% 1.43/0.54 TRYING [1]
% 1.43/0.54 TRYING [2]
% 1.43/0.54 % (1431)Refutation found. Thanks to Tanya!
% 1.43/0.54 % SZS status Unsatisfiable for theBenchmark
% 1.43/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 1.43/0.54 % (1431)------------------------------
% 1.43/0.54 % (1431)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.54 % (1431)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.54 % (1431)Termination reason: Refutation
% 1.43/0.54
% 1.43/0.54 % (1431)Memory used [KB]: 5884
% 1.43/0.54 % (1431)Time elapsed: 0.141 s
% 1.43/0.54 % (1431)Instructions burned: 28 (million)
% 1.43/0.54 % (1431)------------------------------
% 1.43/0.54 % (1431)------------------------------
% 1.43/0.54 % (1399)Success in time 0.2 s
%------------------------------------------------------------------------------