TSTP Solution File: ALG014+1 by Vampire---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : ALG014+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/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n022.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 18:16:52 EDT 2024
% Result : Theorem 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 24
% Syntax : Number of formulae : 128 ( 1 unt; 0 def)
% Number of atoms : 442 ( 173 equ)
% Maximal formula atoms : 32 ( 3 avg)
% Number of connectives : 476 ( 162 ~; 205 |; 89 &)
% ( 20 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 25 ( 23 usr; 23 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f463,plain,
$false,
inference(avatar_sat_refutation,[],[f348,f353,f358,f363,f364,f381,f398,f415,f427,f430,f433,f436,f439,f443,f446,f449,f453,f456,f459,f462]) ).
fof(f462,plain,
( ~ spl4_3
| spl4_10 ),
inference(avatar_contradiction_clause,[],[f461]) ).
fof(f461,plain,
( $false
| ~ spl4_3
| spl4_10 ),
inference(subsumption_resolution,[],[f460,f343]) ).
fof(f343,plain,
( sP2
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f341]) ).
fof(f341,plain,
( spl4_3
<=> sP2 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f460,plain,
( ~ sP2
| spl4_10 ),
inference(resolution,[],[f376,f178]) ).
fof(f178,plain,
( sQ3_eqProxy(e2,op(e2,e2))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f24,f176]) ).
fof(f176,plain,
! [X0,X1] :
( sQ3_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ3_eqProxy])]) ).
fof(f24,plain,
( e2 = op(e2,e2)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f19,plain,
( ( e2 = op(e3,e3)
& e2 = op(e2,e2)
& e2 = op(e1,e1)
& op(e0,e0) = e2 )
| ~ sP2 ),
inference(nnf_transformation,[],[f17]) ).
fof(f17,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(f376,plain,
( ~ sQ3_eqProxy(e2,op(e2,e2))
| spl4_10 ),
inference(avatar_component_clause,[],[f374]) ).
fof(f374,plain,
( spl4_10
<=> sQ3_eqProxy(e2,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f459,plain,
( ~ spl4_3
| spl4_9 ),
inference(avatar_contradiction_clause,[],[f458]) ).
fof(f458,plain,
( $false
| ~ spl4_3
| spl4_9 ),
inference(subsumption_resolution,[],[f457,f343]) ).
fof(f457,plain,
( ~ sP2
| spl4_9 ),
inference(resolution,[],[f372,f179]) ).
fof(f179,plain,
( sQ3_eqProxy(e2,op(e1,e1))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f23,f176]) ).
fof(f23,plain,
( e2 = op(e1,e1)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f372,plain,
( ~ sQ3_eqProxy(e2,op(e1,e1))
| spl4_9 ),
inference(avatar_component_clause,[],[f370]) ).
fof(f370,plain,
( spl4_9
<=> sQ3_eqProxy(e2,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_9])]) ).
fof(f456,plain,
( ~ spl4_3
| spl4_11 ),
inference(avatar_contradiction_clause,[],[f455]) ).
fof(f455,plain,
( $false
| ~ spl4_3
| spl4_11 ),
inference(subsumption_resolution,[],[f454,f343]) ).
fof(f454,plain,
( ~ sP2
| spl4_11 ),
inference(resolution,[],[f380,f177]) ).
fof(f177,plain,
( sQ3_eqProxy(e2,op(e3,e3))
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f25,f176]) ).
fof(f25,plain,
( e2 = op(e3,e3)
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f380,plain,
( ~ sQ3_eqProxy(e2,op(e3,e3))
| spl4_11 ),
inference(avatar_component_clause,[],[f378]) ).
fof(f378,plain,
( spl4_11
<=> sQ3_eqProxy(e2,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_11])]) ).
fof(f453,plain,
( ~ spl4_1
| spl4_17 ),
inference(avatar_split_clause,[],[f450,f404,f333]) ).
fof(f333,plain,
( spl4_1
<=> sP0 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f404,plain,
( spl4_17
<=> sQ3_eqProxy(e0,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_17])]) ).
fof(f450,plain,
( ~ sP0
| spl4_17 ),
inference(resolution,[],[f406,f187]) ).
fof(f187,plain,
( sQ3_eqProxy(e0,op(e1,e1))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f31,f176]) ).
fof(f31,plain,
( e0 = op(e1,e1)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f21,plain,
( ( e0 = op(e3,e3)
& e0 = op(e2,e2)
& e0 = op(e1,e1)
& e0 = op(e0,e0) )
| ~ sP0 ),
inference(nnf_transformation,[],[f15]) ).
fof(f15,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(f406,plain,
( ~ sQ3_eqProxy(e0,op(e1,e1))
| spl4_17 ),
inference(avatar_component_clause,[],[f404]) ).
fof(f449,plain,
( ~ spl4_1
| spl4_18 ),
inference(avatar_contradiction_clause,[],[f448]) ).
fof(f448,plain,
( $false
| ~ spl4_1
| spl4_18 ),
inference(subsumption_resolution,[],[f447,f335]) ).
fof(f335,plain,
( sP0
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f333]) ).
fof(f447,plain,
( ~ sP0
| spl4_18 ),
inference(resolution,[],[f410,f186]) ).
fof(f186,plain,
( sQ3_eqProxy(e0,op(e2,e2))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f32,f176]) ).
fof(f32,plain,
( e0 = op(e2,e2)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f410,plain,
( ~ sQ3_eqProxy(e0,op(e2,e2))
| spl4_18 ),
inference(avatar_component_clause,[],[f408]) ).
fof(f408,plain,
( spl4_18
<=> sQ3_eqProxy(e0,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_18])]) ).
fof(f446,plain,
( ~ spl4_1
| spl4_16 ),
inference(avatar_contradiction_clause,[],[f445]) ).
fof(f445,plain,
( $false
| ~ spl4_1
| spl4_16 ),
inference(subsumption_resolution,[],[f444,f335]) ).
fof(f444,plain,
( ~ sP0
| spl4_16 ),
inference(resolution,[],[f402,f188]) ).
fof(f188,plain,
( sQ3_eqProxy(e0,op(e0,e0))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f30,f176]) ).
fof(f30,plain,
( e0 = op(e0,e0)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f402,plain,
( ~ sQ3_eqProxy(e0,op(e0,e0))
| spl4_16 ),
inference(avatar_component_clause,[],[f400]) ).
fof(f400,plain,
( spl4_16
<=> sQ3_eqProxy(e0,op(e0,e0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_16])]) ).
fof(f443,plain,
( ~ spl4_1
| spl4_19 ),
inference(avatar_contradiction_clause,[],[f442]) ).
fof(f442,plain,
( $false
| ~ spl4_1
| spl4_19 ),
inference(subsumption_resolution,[],[f441,f335]) ).
fof(f441,plain,
( ~ sP0
| spl4_19 ),
inference(resolution,[],[f414,f185]) ).
fof(f185,plain,
( sQ3_eqProxy(e0,op(e3,e3))
| ~ sP0 ),
inference(equality_proxy_replacement,[],[f33,f176]) ).
fof(f33,plain,
( e0 = op(e3,e3)
| ~ sP0 ),
inference(cnf_transformation,[],[f21]) ).
fof(f414,plain,
( ~ sQ3_eqProxy(e0,op(e3,e3))
| spl4_19 ),
inference(avatar_component_clause,[],[f412]) ).
fof(f412,plain,
( spl4_19
<=> sQ3_eqProxy(e0,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_19])]) ).
fof(f439,plain,
( ~ spl4_2
| spl4_14 ),
inference(avatar_contradiction_clause,[],[f438]) ).
fof(f438,plain,
( $false
| ~ spl4_2
| spl4_14 ),
inference(subsumption_resolution,[],[f437,f339]) ).
fof(f339,plain,
( sP1
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f337]) ).
fof(f337,plain,
( spl4_2
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f437,plain,
( ~ sP1
| spl4_14 ),
inference(resolution,[],[f393,f182]) ).
fof(f182,plain,
( sQ3_eqProxy(e1,op(e2,e2))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f28,f176]) ).
fof(f28,plain,
( e1 = op(e2,e2)
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
( ( e1 = op(e3,e3)
& e1 = op(e2,e2)
& e1 = op(e1,e1)
& op(e0,e0) = e1 )
| ~ sP1 ),
inference(nnf_transformation,[],[f16]) ).
fof(f16,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(f393,plain,
( ~ sQ3_eqProxy(e1,op(e2,e2))
| spl4_14 ),
inference(avatar_component_clause,[],[f391]) ).
fof(f391,plain,
( spl4_14
<=> sQ3_eqProxy(e1,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_14])]) ).
fof(f436,plain,
( ~ spl4_2
| spl4_13 ),
inference(avatar_contradiction_clause,[],[f435]) ).
fof(f435,plain,
( $false
| ~ spl4_2
| spl4_13 ),
inference(subsumption_resolution,[],[f434,f339]) ).
fof(f434,plain,
( ~ sP1
| spl4_13 ),
inference(resolution,[],[f389,f183]) ).
fof(f183,plain,
( sQ3_eqProxy(e1,op(e1,e1))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f27,f176]) ).
fof(f27,plain,
( e1 = op(e1,e1)
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f389,plain,
( ~ sQ3_eqProxy(e1,op(e1,e1))
| spl4_13 ),
inference(avatar_component_clause,[],[f387]) ).
fof(f387,plain,
( spl4_13
<=> sQ3_eqProxy(e1,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_13])]) ).
fof(f433,plain,
( ~ spl4_2
| spl4_15 ),
inference(avatar_contradiction_clause,[],[f432]) ).
fof(f432,plain,
( $false
| ~ spl4_2
| spl4_15 ),
inference(subsumption_resolution,[],[f431,f339]) ).
fof(f431,plain,
( ~ sP1
| spl4_15 ),
inference(resolution,[],[f397,f181]) ).
fof(f181,plain,
( sQ3_eqProxy(e1,op(e3,e3))
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f29,f176]) ).
fof(f29,plain,
( e1 = op(e3,e3)
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f397,plain,
( ~ sQ3_eqProxy(e1,op(e3,e3))
| spl4_15 ),
inference(avatar_component_clause,[],[f395]) ).
fof(f395,plain,
( spl4_15
<=> sQ3_eqProxy(e1,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_15])]) ).
fof(f430,plain,
( ~ spl4_2
| spl4_12 ),
inference(avatar_contradiction_clause,[],[f429]) ).
fof(f429,plain,
( $false
| ~ spl4_2
| spl4_12 ),
inference(subsumption_resolution,[],[f428,f339]) ).
fof(f428,plain,
( ~ sP1
| spl4_12 ),
inference(resolution,[],[f385,f184]) ).
fof(f184,plain,
( sQ3_eqProxy(op(e0,e0),e1)
| ~ sP1 ),
inference(equality_proxy_replacement,[],[f26,f176]) ).
fof(f26,plain,
( op(e0,e0) = e1
| ~ sP1 ),
inference(cnf_transformation,[],[f20]) ).
fof(f385,plain,
( ~ sQ3_eqProxy(op(e0,e0),e1)
| spl4_12 ),
inference(avatar_component_clause,[],[f383]) ).
fof(f383,plain,
( spl4_12
<=> sQ3_eqProxy(op(e0,e0),e1) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_12])]) ).
fof(f427,plain,
( ~ spl4_3
| spl4_8 ),
inference(avatar_split_clause,[],[f426,f366,f341]) ).
fof(f366,plain,
( spl4_8
<=> sQ3_eqProxy(op(e0,e0),e2) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_8])]) ).
fof(f426,plain,
( ~ sP2
| spl4_8 ),
inference(resolution,[],[f368,f180]) ).
fof(f180,plain,
( sQ3_eqProxy(op(e0,e0),e2)
| ~ sP2 ),
inference(equality_proxy_replacement,[],[f22,f176]) ).
fof(f22,plain,
( op(e0,e0) = e2
| ~ sP2 ),
inference(cnf_transformation,[],[f19]) ).
fof(f368,plain,
( ~ sQ3_eqProxy(op(e0,e0),e2)
| spl4_8 ),
inference(avatar_component_clause,[],[f366]) ).
fof(f415,plain,
( ~ spl4_16
| ~ spl4_17
| ~ spl4_18
| ~ spl4_19 ),
inference(avatar_split_clause,[],[f196,f412,f408,f404,f400]) ).
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,[],[f34,f176,f176,f176,f176]) ).
fof(f34,plain,
( e0 != op(e3,e3)
| e0 != op(e2,e2)
| e0 != op(e1,e1)
| e0 != op(e0,e0) ),
inference(cnf_transformation,[],[f18]) ).
fof(f18,plain,
( ( ( e3 = op(e3,e3)
& e3 = op(e2,e2)
& e3 = op(e1,e1)
& op(e0,e0) = e3 )
| sP2
| sP1
| sP0 )
& ( 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(definition_folding,[],[f14,f17,f16,f15]) ).
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(ennf_transformation,[],[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/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f398,plain,
( ~ spl4_12
| ~ spl4_13
| ~ spl4_14
| ~ spl4_15 ),
inference(avatar_split_clause,[],[f195,f395,f391,f387,f383]) ).
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,[],[f35,f176,f176,f176,f176]) ).
fof(f35,plain,
( e1 != op(e3,e3)
| e1 != op(e2,e2)
| e1 != op(e1,e1)
| op(e0,e0) != e1 ),
inference(cnf_transformation,[],[f18]) ).
fof(f381,plain,
( ~ spl4_8
| ~ spl4_9
| ~ spl4_10
| ~ spl4_11 ),
inference(avatar_split_clause,[],[f194,f378,f374,f370,f366]) ).
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,[],[f36,f176,f176,f176,f176]) ).
fof(f36,plain,
( e2 != op(e3,e3)
| e2 != op(e2,e2)
| e2 != op(e1,e1)
| op(e0,e0) != e2 ),
inference(cnf_transformation,[],[f18]) ).
fof(f364,plain,
( ~ spl4_7
| ~ spl4_6
| ~ spl4_5
| ~ spl4_4 ),
inference(avatar_split_clause,[],[f193,f345,f350,f355,f360]) ).
fof(f360,plain,
( spl4_7
<=> sQ3_eqProxy(op(e0,e0),e3) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_7])]) ).
fof(f355,plain,
( spl4_6
<=> sQ3_eqProxy(e3,op(e1,e1)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_6])]) ).
fof(f350,plain,
( spl4_5
<=> sQ3_eqProxy(e3,op(e2,e2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f345,plain,
( spl4_4
<=> sQ3_eqProxy(e3,op(e3,e3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_4])]) ).
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,[],[f37,f176,f176,f176,f176]) ).
fof(f37,plain,
( e3 != op(e3,e3)
| e3 != op(e2,e2)
| e3 != op(e1,e1)
| op(e0,e0) != e3 ),
inference(cnf_transformation,[],[f18]) ).
fof(f363,plain,
( spl4_1
| spl4_2
| spl4_3
| spl4_7 ),
inference(avatar_split_clause,[],[f192,f360,f341,f337,f333]) ).
fof(f192,plain,
( sQ3_eqProxy(op(e0,e0),e3)
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f38,f176]) ).
fof(f38,plain,
( op(e0,e0) = e3
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f358,plain,
( spl4_1
| spl4_2
| spl4_3
| spl4_6 ),
inference(avatar_split_clause,[],[f191,f355,f341,f337,f333]) ).
fof(f191,plain,
( sQ3_eqProxy(e3,op(e1,e1))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f39,f176]) ).
fof(f39,plain,
( e3 = op(e1,e1)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f353,plain,
( spl4_1
| spl4_2
| spl4_3
| spl4_5 ),
inference(avatar_split_clause,[],[f190,f350,f341,f337,f333]) ).
fof(f190,plain,
( sQ3_eqProxy(e3,op(e2,e2))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f40,f176]) ).
fof(f40,plain,
( e3 = op(e2,e2)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f18]) ).
fof(f348,plain,
( spl4_1
| spl4_2
| spl4_3
| spl4_4 ),
inference(avatar_split_clause,[],[f189,f345,f341,f337,f333]) ).
fof(f189,plain,
( sQ3_eqProxy(e3,op(e3,e3))
| sP2
| sP1
| sP0 ),
inference(equality_proxy_replacement,[],[f41,f176]) ).
fof(f41,plain,
( e3 = op(e3,e3)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : ALG014+1 : TPTP v8.2.0. Released v2.7.0.
% 0.09/0.11 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.10/0.31 % Computer : n022.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Sat May 18 22:46:22 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.10/0.31 This is a FOF_THM_RFO_PEQ problem
% 0.10/0.31 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.78 % (30408)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 (2995ds/34Mi)
% 0.60/0.78 % (30406)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.78 % (30407)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2995ds/33Mi)
% 0.60/0.78 % (30411)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 (2995ds/56Mi)
% 0.60/0.79 % (30404)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 (2995ds/34Mi)
% 0.60/0.79 % (30410)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 (2995ds/83Mi)
% 0.60/0.79 % (30411)First to succeed.
% 0.60/0.79 % (30407)Also succeeded, but the first one will report.
% 0.60/0.79 % (30411)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-30401"
% 0.60/0.79 % (30404)Also succeeded, but the first one will report.
% 0.60/0.79 % (30411)Refutation found. Thanks to Tanya!
% 0.60/0.79 % SZS status Theorem for theBenchmark
% 0.60/0.79 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.79 % (30411)------------------------------
% 0.60/0.79 % (30411)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79 % (30411)Termination reason: Refutation
% 0.60/0.79
% 0.60/0.79 % (30411)Memory used [KB]: 1181
% 0.60/0.79 % (30411)Time elapsed: 0.008 s
% 0.60/0.79 % (30411)Instructions burned: 13 (million)
% 0.60/0.79 % (30401)Success in time 0.474 s
% 0.60/0.79 % Vampire---4.8 exiting
%------------------------------------------------------------------------------