TSTP Solution File: ALG017+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG017+1 : TPTP v8.2.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon May 20 18:16:53 EDT 2024
% Result : Theorem 0.10s 0.56s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 24
% Syntax : Number of formulae : 126 ( 3 unt; 0 def)
% Number of atoms : 494 ( 239 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 544 ( 176 ~; 216 |; 133 &)
% ( 19 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 24 ( 22 usr; 22 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f458,plain,
$false,
inference(avatar_sat_refutation,[],[f354,f371,f388,f402,f415,f416,f417,f418,f421,f423,f426,f429,f432,f438,f442,f448,f451,f454,f457]) ).
fof(f457,plain,
( spl4_11
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f456]) ).
fof(f456,plain,
( $false
| spl4_11
| ~ spl4_17 ),
inference(subsumption_resolution,[],[f455,f410]) ).
fof(f410,plain,
( sP1
| ~ spl4_17 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl4_17
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f455,plain,
( ~ sP1
| spl4_11 ),
inference(resolution,[],[f383,f186]) ).
fof(f186,plain,
( sQ3_eqProxy(e1,op(e2,e2))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f30,f180]) ).
fof(f180,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f30,plain,
( e1 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f22,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f383,plain,
( ~ sQ3_eqProxy(e1,op(e2,e2))
| spl4_11 ),
inference(avatar_component_clause,[],[f381]) ).
fof(f381,plain,
( spl4_11
<=> sQ3_eqProxy(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f454,plain,
( spl4_10
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f453]) ).
fof(f453,plain,
( $false
| spl4_10
| ~ spl4_17 ),
inference(subsumption_resolution,[],[f452,f410]) ).
fof(f452,plain,
( ~ sP1
| spl4_10 ),
inference(resolution,[],[f379,f187]) ).
fof(f187,plain,
( sQ3_eqProxy(e1,op(e1,e1))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f29,f180]) ).
fof(f29,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f379,plain,
( ~ sQ3_eqProxy(e1,op(e1,e1))
| spl4_10 ),
inference(avatar_component_clause,[],[f377]) ).
fof(f377,plain,
( spl4_10
<=> sQ3_eqProxy(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f451,plain,
( spl4_12
| ~ spl4_17 ),
inference(avatar_contradiction_clause,[],[f450]) ).
fof(f450,plain,
( $false
| spl4_12
| ~ spl4_17 ),
inference(subsumption_resolution,[],[f449,f410]) ).
fof(f449,plain,
( ~ sP1
| spl4_12 ),
inference(resolution,[],[f387,f185]) ).
fof(f185,plain,
( sQ3_eqProxy(e1,op(e3,e3))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f31,f180]) ).
fof(f31,plain,
( e1 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f387,plain,
( ~ sQ3_eqProxy(e1,op(e3,e3))
| spl4_12 ),
inference(avatar_component_clause,[],[f385]) ).
fof(f385,plain,
( spl4_12
<=> sQ3_eqProxy(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f448,plain,
( ~ spl4_18
| spl4_6 ),
inference(avatar_split_clause,[],[f444,f360,f412]) ).
fof(f412,plain,
( spl4_18
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f360,plain,
( spl4_6
<=> sQ3_eqProxy(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f444,plain,
( ~ sP2
| spl4_6 ),
inference(resolution,[],[f362,f183]) ).
fof(f183,plain,
( sQ3_eqProxy(e2,op(e1,e1))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f25,f180]) ).
fof(f25,plain,
( e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f362,plain,
( ~ sQ3_eqProxy(e2,op(e1,e1))
| spl4_6 ),
inference(avatar_component_clause,[],[f360]) ).
fof(f442,plain,
( spl4_5
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f441]) ).
fof(f441,plain,
( $false
| spl4_5
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f440,f414]) ).
fof(f414,plain,
( sP2
| ~ spl4_18 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f440,plain,
( ~ sP2
| spl4_5 ),
inference(resolution,[],[f358,f184]) ).
fof(f184,plain,
( sQ3_eqProxy(op(e0,e0),e2)
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f24,f180]) ).
fof(f24,plain,
( op(e0,e0) = e2
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f358,plain,
( ~ sQ3_eqProxy(op(e0,e0),e2)
| spl4_5 ),
inference(avatar_component_clause,[],[f356]) ).
fof(f356,plain,
( spl4_5
<=> sQ3_eqProxy(op(e0,e0),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f438,plain,
( spl4_7
| ~ spl4_18 ),
inference(avatar_contradiction_clause,[],[f437]) ).
fof(f437,plain,
( $false
| spl4_7
| ~ spl4_18 ),
inference(subsumption_resolution,[],[f434,f414]) ).
fof(f434,plain,
( ~ sP2
| spl4_7 ),
inference(resolution,[],[f366,f182]) ).
fof(f182,plain,
( sQ3_eqProxy(e2,op(e2,e2))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f26,f180]) ).
fof(f26,plain,
( e2 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f366,plain,
( ~ sQ3_eqProxy(e2,op(e2,e2))
| spl4_7 ),
inference(avatar_component_clause,[],[f364]) ).
fof(f364,plain,
( spl4_7
<=> sQ3_eqProxy(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f432,plain,
( spl4_14
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f431]) ).
fof(f431,plain,
( $false
| spl4_14
| ~ spl4_16 ),
inference(subsumption_resolution,[],[f430,f406]) ).
fof(f406,plain,
( sP0
| ~ spl4_16 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f404,plain,
( spl4_16
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f430,plain,
( ~ sP0
| spl4_14 ),
inference(resolution,[],[f397,f191]) ).
fof(f191,plain,
( sQ3_eqProxy(e0,op(e1,e1))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f33,f180]) ).
fof(f33,plain,
( e0 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f397,plain,
( ~ sQ3_eqProxy(e0,op(e1,e1))
| spl4_14 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl4_14
<=> sQ3_eqProxy(e0,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f429,plain,
( spl4_13
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f428]) ).
fof(f428,plain,
( $false
| spl4_13
| ~ spl4_16 ),
inference(subsumption_resolution,[],[f427,f406]) ).
fof(f427,plain,
( ~ sP0
| spl4_13 ),
inference(resolution,[],[f393,f192]) ).
fof(f192,plain,
( sQ3_eqProxy(e0,op(e0,e0))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f32,f180]) ).
fof(f32,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f393,plain,
( ~ sQ3_eqProxy(e0,op(e0,e0))
| spl4_13 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl4_13
<=> sQ3_eqProxy(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f426,plain,
( spl4_15
| ~ spl4_16 ),
inference(avatar_contradiction_clause,[],[f425]) ).
fof(f425,plain,
( $false
| spl4_15
| ~ spl4_16 ),
inference(subsumption_resolution,[],[f424,f406]) ).
fof(f424,plain,
( ~ sP0
| spl4_15 ),
inference(resolution,[],[f401,f190]) ).
fof(f190,plain,
( sQ3_eqProxy(e0,op(e2,e2))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f34,f180]) ).
fof(f34,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f23]) ).
fof(f401,plain,
( ~ sQ3_eqProxy(e0,op(e2,e2))
| spl4_15 ),
inference(avatar_component_clause,[],[f399]) ).
fof(f399,plain,
( spl4_15
<=> sQ3_eqProxy(e0,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f423,plain,
( ~ spl4_17
| spl4_9 ),
inference(avatar_split_clause,[],[f422,f373,f408]) ).
fof(f373,plain,
( spl4_9
<=> sQ3_eqProxy(op(e0,e0),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f422,plain,
( ~ sP1
| spl4_9 ),
inference(resolution,[],[f375,f188]) ).
fof(f188,plain,
( sQ3_eqProxy(op(e0,e0),e1)
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f28,f180]) ).
fof(f28,plain,
( op(e0,e0) = e1
| ~ sP1 ),
inference(cnf_transformation,[],[f22]) ).
fof(f375,plain,
( ~ sQ3_eqProxy(op(e0,e0),e1)
| spl4_9 ),
inference(avatar_component_clause,[],[f373]) ).
fof(f421,plain,
( ~ spl4_18
| spl4_8 ),
inference(avatar_split_clause,[],[f420,f368,f412]) ).
fof(f368,plain,
( spl4_8
<=> sQ3_eqProxy(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f420,plain,
( ~ sP2
| spl4_8 ),
inference(resolution,[],[f370,f181]) ).
fof(f181,plain,
( sQ3_eqProxy(e2,op(e3,e3))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f27,f180]) ).
fof(f27,plain,
( e2 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f21]) ).
fof(f370,plain,
( ~ sQ3_eqProxy(e2,op(e3,e3))
| spl4_8 ),
inference(avatar_component_clause,[],[f368]) ).
fof(f418,plain,
( spl4_16
| spl4_17
| spl4_18
| spl4_1 ),
inference(avatar_split_clause,[],[f200,f339,f412,f408,f404]) ).
fof(f339,plain,
( spl4_1
<=> sQ3_eqProxy(op(e0,e0),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f200,plain,
( sQ3_eqProxy(op(e0,e0),e3)
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f36,f180]) ).
fof(f36,plain,
( op(e0,e0) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f16,f19,f18,f17]) ).
fof(f16,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
( ( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 )
& ( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 )
& ( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 )
& ( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,plain,
( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(flattening,[],[f13]) ).
fof(f13,negated_conjecture,
~ ~ ( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
inference(negated_conjecture,[],[f12]) ).
fof(f12,conjecture,
~ ( ~ ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) )
& ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f417,plain,
( spl4_16
| spl4_17
| spl4_18
| spl4_2 ),
inference(avatar_split_clause,[],[f199,f343,f412,f408,f404]) ).
fof(f343,plain,
( spl4_2
<=> sQ3_eqProxy(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f199,plain,
( sQ3_eqProxy(e3,op(e1,e1))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f37,f180]) ).
fof(f37,plain,
( e3 = op(e1,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f416,plain,
( spl4_16
| spl4_17
| spl4_18
| spl4_3 ),
inference(avatar_split_clause,[],[f198,f347,f412,f408,f404]) ).
fof(f347,plain,
( spl4_3
<=> sQ3_eqProxy(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f198,plain,
( sQ3_eqProxy(e3,op(e2,e2))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f38,f180]) ).
fof(f38,plain,
( e3 = op(e2,e2)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f415,plain,
( spl4_16
| spl4_17
| spl4_18
| spl4_4 ),
inference(avatar_split_clause,[],[f197,f351,f412,f408,f404]) ).
fof(f351,plain,
( spl4_4
<=> sQ3_eqProxy(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
fof(f197,plain,
( sQ3_eqProxy(e3,op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f39,f180]) ).
fof(f39,plain,
( e3 = op(e3,e3)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f20]) ).
fof(f402,plain,
( ~ spl4_13
| ~ spl4_14
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f389,f399,f395,f391]) ).
fof(f389,plain,
( ~ sQ3_eqProxy(e0,op(e2,e2))
| ~ sQ3_eqProxy(e0,op(e1,e1))
| ~ sQ3_eqProxy(e0,op(e0,e0)) ),
inference(subsumption_resolution,[],[f196,f208]) ).
fof(f208,plain,
sQ3_eqProxy(e0,op(e3,e3)),
inference(equality_proxy_replacement,[],[f50,f180]) ).
fof(f50,plain,
e0 = op(e3,e3),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
( e1 = op(e2,e3)
& e0 = op(e3,e3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f196,plain,
( ~ sQ3_eqProxy(e0,op(e3,e3))
| ~ sQ3_eqProxy(e0,op(e2,e2))
| ~ sQ3_eqProxy(e0,op(e1,e1))
| ~ sQ3_eqProxy(e0,op(e0,e0)) ),
inference(equality_proxy_replacement,[],[f40,f180,f180,f180,f180]) ).
fof(f40,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f20]) ).
fof(f388,plain,
( ~ spl4_9
| ~ spl4_10
| ~ spl4_11
| ~ spl4_12 ),
inference(avatar_split_clause,[],[f195,f385,f381,f377,f373]) ).
fof(f195,plain,
( ~ sQ3_eqProxy(e1,op(e3,e3))
| ~ sQ3_eqProxy(e1,op(e2,e2))
| ~ sQ3_eqProxy(e1,op(e1,e1))
| ~ sQ3_eqProxy(op(e0,e0),e1) ),
inference(equality_proxy_replacement,[],[f41,f180,f180,f180,f180]) ).
fof(f41,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f371,plain,
( ~ spl4_5
| ~ spl4_6
| ~ spl4_7
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f194,f368,f364,f360,f356]) ).
fof(f194,plain,
( ~ sQ3_eqProxy(e2,op(e3,e3))
| ~ sQ3_eqProxy(e2,op(e2,e2))
| ~ sQ3_eqProxy(e2,op(e1,e1))
| ~ sQ3_eqProxy(op(e0,e0),e2) ),
inference(equality_proxy_replacement,[],[f42,f180,f180,f180,f180]) ).
fof(f42,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f20]) ).
fof(f354,plain,
( ~ spl4_1
| ~ spl4_2
| ~ spl4_3
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f193,f351,f347,f343,f339]) ).
fof(f193,plain,
( ~ sQ3_eqProxy(e3,op(e3,e3))
| ~ sQ3_eqProxy(e3,op(e2,e2))
| ~ sQ3_eqProxy(e3,op(e1,e1))
| ~ sQ3_eqProxy(op(e0,e0),e3) ),
inference(equality_proxy_replacement,[],[f43,f180,f180,f180,f180]) ).
fof(f43,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : ALG017+1 : TPTP v8.2.0. Released v2.7.0.
% 0.00/0.07 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.06/0.26 % Computer : n027.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sat May 18 23:33:07 EDT 2024
% 0.06/0.26 % CPUTime :
% 0.06/0.26 This is a FOF_THM_RFO_PEQ problem
% 0.06/0.26 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.56 % (11419)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2997ds/56Mi)
% 0.10/0.56 % (11412)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2997ds/34Mi)
% 0.10/0.56 % (11416)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2997ds/34Mi)
% 0.10/0.56 % (11414)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2997ds/78Mi)
% 0.10/0.56 % (11415)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2997ds/33Mi)
% 0.10/0.56 % (11413)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2997ds/51Mi)
% 0.10/0.56 % (11417)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2997ds/45Mi)
% 0.10/0.56 % (11418)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2997ds/83Mi)
% 0.10/0.56 % (11419)First to succeed.
% 0.10/0.56 % (11419)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-11411"
% 0.10/0.56 % (11419)Refutation found. Thanks to Tanya!
% 0.10/0.56 % SZS status Theorem for theBenchmark
% 0.10/0.56 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.56 % (11419)------------------------------
% 0.10/0.56 % (11419)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.10/0.56 % (11419)Termination reason: Refutation
% 0.10/0.56
% 0.10/0.56 % (11419)Memory used [KB]: 1178
% 0.10/0.56 % (11419)Time elapsed: 0.005 s
% 0.10/0.56 % (11419)Instructions burned: 13 (million)
% 0.10/0.56 % (11411)Success in time 0.294 s
% 0.10/0.56 % Vampire---4.8 exiting
%------------------------------------------------------------------------------