TSTP Solution File: SYN067+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SYN067+1 : TPTP v8.2.0. Released v2.0.0.
% 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 : n003.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 : Tue May 21 08:20:44 EDT 2024
% Result : Theorem 0.60s 0.82s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 23
% Syntax : Number of formulae : 138 ( 2 unt; 0 def)
% Number of atoms : 699 ( 0 equ)
% Maximal formula atoms : 18 ( 5 avg)
% Number of connectives : 906 ( 345 ~; 384 |; 143 &)
% ( 18 <=>; 13 =>; 0 <=; 3 <~>)
% Maximal formula depth : 11 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 18 ( 17 usr; 15 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 243 ( 166 !; 77 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f341,plain,
$false,
inference(avatar_sat_refutation,[],[f58,f67,f73,f78,f83,f88,f101,f106,f122,f174,f222,f233,f334,f340]) ).
fof(f340,plain,
( spl12_4
| ~ spl12_19 ),
inference(avatar_contradiction_clause,[],[f339]) ).
fof(f339,plain,
( $false
| spl12_4
| ~ spl12_19 ),
inference(subsumption_resolution,[],[f335,f247]) ).
fof(f247,plain,
( big_p(sK6(sK9))
| spl12_4 ),
inference(resolution,[],[f66,f40]) ).
fof(f40,plain,
! [X0] :
( sP0(X0)
| big_p(sK6(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f20,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& big_r(X0,sK6(X0))
& big_p(sK6(X0))
& big_p(a) ) )
& ( ( big_r(sK8(X0),sK7(X0))
& big_r(X0,sK8(X0))
& big_p(sK7(X0)) )
| ! [X6] :
( ~ big_r(X0,X6)
| ~ big_p(X6) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f17,f19,f18]) ).
fof(f18,plain,
! [X0] :
( ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
=> ( big_r(X0,sK6(X0))
& big_p(sK6(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f19,plain,
! [X0] :
( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X0,X5)
& big_p(X4) )
=> ( big_r(sK8(X0),sK7(X0))
& big_r(X0,sK8(X0))
& big_p(sK7(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f17,plain,
! [X0] :
( ( sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
& big_p(a) ) )
& ( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X0,X5)
& big_p(X4) )
| ! [X6] :
( ~ big_r(X0,X6)
| ~ big_p(X6) )
| ~ big_p(a)
| ~ sP0(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,plain,
! [X4] :
( ( sP0(X4)
| ( ! [X5,X6] :
( ~ big_r(X6,X5)
| ~ big_r(X4,X6)
| ~ big_p(X5) )
& ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
& big_p(a) ) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a)
| ~ sP0(X4) ) ),
inference(flattening,[],[f15]) ).
fof(f15,plain,
! [X4] :
( ( sP0(X4)
| ( ! [X5,X6] :
( ~ big_r(X6,X5)
| ~ big_r(X4,X6)
| ~ big_p(X5) )
& ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
& big_p(a) ) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a)
| ~ sP0(X4) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f6,plain,
! [X4] :
( sP0(X4)
<=> ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f66,plain,
( ~ sP0(sK9)
| spl12_4 ),
inference(avatar_component_clause,[],[f64]) ).
fof(f64,plain,
( spl12_4
<=> sP0(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_4])]) ).
fof(f335,plain,
( ~ big_p(sK6(sK9))
| spl12_4
| ~ spl12_19 ),
inference(resolution,[],[f294,f248]) ).
fof(f248,plain,
( big_r(sK9,sK6(sK9))
| spl12_4 ),
inference(resolution,[],[f66,f41]) ).
fof(f41,plain,
! [X0] :
( sP0(X0)
| big_r(X0,sK6(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f294,plain,
( ! [X0] :
( ~ big_r(sK9,X0)
| ~ big_p(X0) )
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f293]) ).
fof(f293,plain,
( spl12_19
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK9,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_19])]) ).
fof(f334,plain,
( spl12_19
| spl12_19
| ~ spl12_1
| ~ spl12_2 ),
inference(avatar_split_clause,[],[f327,f56,f52,f293,f293]) ).
fof(f52,plain,
( spl12_1
<=> sP1 ),
introduced(avatar_definition,[new_symbols(naming,[spl12_1])]) ).
fof(f56,plain,
( spl12_2
<=> ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_p(X1)
| ~ big_r(sK9,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_2])]) ).
fof(f327,plain,
( ! [X0,X1] :
( ~ big_r(sK9,X0)
| ~ big_p(X0)
| ~ big_p(X1)
| ~ big_r(sK9,X1) )
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f299,f243]) ).
fof(f243,plain,
( ! [X0,X1] :
( big_r(X0,sK5(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f237,f69]) ).
fof(f69,plain,
big_p(a),
inference(subsumption_resolution,[],[f68,f39]) ).
fof(f39,plain,
! [X0] :
( sP0(X0)
| big_p(a) ),
inference(cnf_transformation,[],[f20]) ).
fof(f68,plain,
( ~ sP0(sK9)
| big_p(a) ),
inference(subsumption_resolution,[],[f47,f32]) ).
fof(f32,plain,
( sP1
| big_p(a) ),
inference(cnf_transformation,[],[f14]) ).
fof(f14,plain,
( ( sP1
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(sK2,X2)
| ~ big_p(X1) )
& ( ( big_r(sK2,sK3)
& big_p(sK3) )
| ~ big_p(sK2) )
& big_p(a) ) )
& ( ! [X4] :
( ( big_r(sK5(X4),sK4(X4))
& big_r(X4,sK5(X4))
& big_p(sK4(X4)) )
| ( ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
& big_p(X4) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f10,f13,f12,f11]) ).
fof(f11,plain,
( ? [X0] :
( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ( ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
| ~ big_p(X0) )
& big_p(a) )
=> ( ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK2,X2)
| ~ big_p(X1) )
& ( ? [X3] :
( big_r(sK2,X3)
& big_p(X3) )
| ~ big_p(sK2) )
& big_p(a) ) ),
introduced(choice_axiom,[]) ).
fof(f12,plain,
( ? [X3] :
( big_r(sK2,X3)
& big_p(X3) )
=> ( big_r(sK2,sK3)
& big_p(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f13,plain,
! [X4] :
( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
=> ( big_r(sK5(X4),sK4(X4))
& big_r(X4,sK5(X4))
& big_p(sK4(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f10,plain,
( ( sP1
| ? [X0] :
( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ( ? [X3] :
( big_r(X0,X3)
& big_p(X3) )
| ~ big_p(X0) )
& big_p(a) ) )
& ( ! [X4] :
( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ( ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
& big_p(X4) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(rectify,[],[f9]) ).
fof(f9,plain,
( ( sP1
| ? [X0] :
( ! [X2,X3] :
( ~ big_r(X3,X2)
| ~ big_r(X0,X3)
| ~ big_p(X2) )
& ( ? [X1] :
( big_r(X0,X1)
& big_p(X1) )
| ~ big_p(X0) )
& big_p(a) ) )
& ( ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) )
| ~ sP1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f7,plain,
( sP1
<=> ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f47,plain,
( ~ sP0(sK9)
| big_p(a)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f25,plain,
( ( ~ sP0(sK9)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1) )
& ~ big_p(sK9)
& big_p(a) )
| ~ sP1 )
& ( ! [X3] :
( sP0(X3)
& ( ( big_r(sK11(X3),sK10(X3))
& big_r(X3,sK11(X3))
& big_p(sK10(X3)) )
| big_p(X3)
| ~ big_p(a) ) )
| sP1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11])],[f22,f24,f23]) ).
fof(f23,plain,
( ? [X0] :
( ~ sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ~ big_p(X0)
& big_p(a) ) )
=> ( ~ sP0(sK9)
| ( ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1) )
& ~ big_p(sK9)
& big_p(a) ) ) ),
introduced(choice_axiom,[]) ).
fof(f24,plain,
! [X3] :
( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X3,X5)
& big_p(X4) )
=> ( big_r(sK11(X3),sK10(X3))
& big_r(X3,sK11(X3))
& big_p(sK10(X3)) ) ),
introduced(choice_axiom,[]) ).
fof(f22,plain,
( ( ? [X0] :
( ~ sP0(X0)
| ( ! [X1,X2] :
( ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) )
& ~ big_p(X0)
& big_p(a) ) )
| ~ sP1 )
& ( ! [X3] :
( sP0(X3)
& ( ? [X4,X5] :
( big_r(X5,X4)
& big_r(X3,X5)
& big_p(X4) )
| big_p(X3)
| ~ big_p(a) ) )
| sP1 ) ),
inference(rectify,[],[f21]) ).
fof(f21,plain,
( ( ? [X4] :
( ~ sP0(X4)
| ( ! [X8,X9] :
( ~ big_r(X9,X8)
| ~ big_r(X4,X9)
| ~ big_p(X8) )
& ~ big_p(X4)
& big_p(a) ) )
| ~ sP1 )
& ( ! [X4] :
( sP0(X4)
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) )
| sP1 ) ),
inference(nnf_transformation,[],[f8]) ).
fof(f8,plain,
( sP1
<~> ! [X4] :
( sP0(X4)
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(definition_folding,[],[f5,f7,f6]) ).
fof(f5,plain,
( ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) )
<~> ! [X4] :
( ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a) )
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(flattening,[],[f4]) ).
fof(f4,plain,
( ! [X0] :
( ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) )
| ( ! [X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1) )
& big_p(X0) )
| ~ big_p(a) )
<~> ! [X4] :
( ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ! [X7] :
( ~ big_r(X4,X7)
| ~ big_p(X7) )
| ~ big_p(a) )
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,plain,
~ ( ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) )
<=> ! [X4] :
( ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a) )
& ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(rectify,[],[f2]) ).
fof(f2,negated_conjecture,
~ ( ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) )
<=> ! [X4] :
( ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| big_p(X4)
| ~ big_p(a) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
( ! [X0] :
( ( ( big_p(X0)
=> ? [X1] :
( big_r(X0,X1)
& big_p(X1) ) )
& big_p(a) )
=> ? [X2,X3] :
( big_r(X3,X2)
& big_r(X0,X3)
& big_p(X2) ) )
<=> ! [X4] :
( ( ? [X8,X9] :
( big_r(X9,X8)
& big_r(X4,X9)
& big_p(X8) )
| ~ ? [X7] :
( big_r(X4,X7)
& big_p(X7) )
| ~ big_p(a) )
& ( ? [X5,X6] :
( big_r(X6,X5)
& big_r(X4,X6)
& big_p(X5) )
| big_p(X4)
| ~ big_p(a) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pel38) ).
fof(f237,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X0,sK5(X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f53,f29]) ).
fof(f29,plain,
! [X7,X4] :
( ~ sP1
| ~ big_r(X4,X7)
| ~ big_p(X7)
| ~ big_p(a)
| big_r(X4,sK5(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f53,plain,
( sP1
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f299,plain,
( ! [X0,X1] :
( ~ big_r(X1,X0)
| ~ big_r(sK9,sK5(X1))
| ~ big_p(X0) )
| ~ spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f297,f241]) ).
fof(f241,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_p(sK4(X0)) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f235,f69]) ).
fof(f235,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(sK4(X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f53,f27]) ).
fof(f27,plain,
! [X7,X4] :
( ~ sP1
| ~ big_r(X4,X7)
| ~ big_p(X7)
| ~ big_p(a)
| big_p(sK4(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f297,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_r(X1,X0)
| ~ big_r(sK9,sK5(X1))
| ~ big_p(sK4(X1)) )
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f245,f57]) ).
fof(f57,plain,
( ! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1) )
| ~ spl12_2 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f245,plain,
( ! [X0,X1] :
( big_r(sK5(X0),sK4(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f239,f69]) ).
fof(f239,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(sK5(X0),sK4(X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f53,f31]) ).
fof(f31,plain,
! [X7,X4] :
( ~ sP1
| ~ big_r(X4,X7)
| ~ big_p(X7)
| ~ big_p(a)
| big_r(sK5(X4),sK4(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f233,plain,
( ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(avatar_contradiction_clause,[],[f232]) ).
fof(f232,plain,
( $false
| ~ spl12_10
| ~ spl12_11
| ~ spl12_13 ),
inference(subsumption_resolution,[],[f229,f100]) ).
fof(f100,plain,
( big_p(sK3)
| ~ spl12_10 ),
inference(avatar_component_clause,[],[f98]) ).
fof(f98,plain,
( spl12_10
<=> big_p(sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_10])]) ).
fof(f229,plain,
( ~ big_p(sK3)
| ~ spl12_11
| ~ spl12_13 ),
inference(resolution,[],[f147,f105]) ).
fof(f105,plain,
( big_r(sK2,sK3)
| ~ spl12_11 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f103,plain,
( spl12_11
<=> big_r(sK2,sK3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_11])]) ).
fof(f147,plain,
( ! [X0] :
( ~ big_r(sK2,X0)
| ~ big_p(X0) )
| ~ spl12_13 ),
inference(avatar_component_clause,[],[f146]) ).
fof(f146,plain,
( spl12_13
<=> ! [X0] :
( ~ big_p(X0)
| ~ big_r(sK2,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_13])]) ).
fof(f222,plain,
( ~ spl12_1
| ~ spl12_2
| spl12_3 ),
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f221,plain,
( $false
| ~ spl12_1
| ~ spl12_2
| spl12_3 ),
inference(subsumption_resolution,[],[f220,f62]) ).
fof(f62,plain,
( ~ big_p(sK9)
| spl12_3 ),
inference(avatar_component_clause,[],[f60]) ).
fof(f60,plain,
( spl12_3
<=> big_p(sK9) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_3])]) ).
fof(f220,plain,
( big_p(sK9)
| ~ spl12_1
| ~ spl12_2 ),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f219,plain,
( big_p(sK9)
| big_p(sK9)
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f216,f190]) ).
fof(f190,plain,
( ! [X0] :
( big_r(X0,sK5(X0))
| big_p(X0) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f184,f69]) ).
fof(f184,plain,
( ! [X0] :
( big_p(X0)
| ~ big_p(a)
| big_r(X0,sK5(X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f53,f28]) ).
fof(f28,plain,
! [X4] :
( ~ sP1
| big_p(X4)
| ~ big_p(a)
| big_r(X4,sK5(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f216,plain,
( ! [X0] :
( ~ big_r(sK9,sK5(X0))
| big_p(X0) )
| ~ spl12_1
| ~ spl12_2 ),
inference(subsumption_resolution,[],[f213,f188]) ).
fof(f188,plain,
( ! [X0] :
( big_p(sK4(X0))
| big_p(X0) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f182,f69]) ).
fof(f182,plain,
( ! [X0] :
( big_p(X0)
| ~ big_p(a)
| big_p(sK4(X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f53,f26]) ).
fof(f26,plain,
! [X4] :
( ~ sP1
| big_p(X4)
| ~ big_p(a)
| big_p(sK4(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f213,plain,
( ! [X0] :
( big_p(X0)
| ~ big_r(sK9,sK5(X0))
| ~ big_p(sK4(X0)) )
| ~ spl12_1
| ~ spl12_2 ),
inference(resolution,[],[f192,f57]) ).
fof(f192,plain,
( ! [X0] :
( big_r(sK5(X0),sK4(X0))
| big_p(X0) )
| ~ spl12_1 ),
inference(subsumption_resolution,[],[f186,f69]) ).
fof(f186,plain,
( ! [X0] :
( big_p(X0)
| ~ big_p(a)
| big_r(sK5(X0),sK4(X0)) )
| ~ spl12_1 ),
inference(resolution,[],[f53,f30]) ).
fof(f30,plain,
! [X4] :
( ~ sP1
| big_p(X4)
| ~ big_p(a)
| big_r(sK5(X4),sK4(X4)) ),
inference(cnf_transformation,[],[f14]) ).
fof(f174,plain,
( spl12_13
| spl12_13
| spl12_1
| ~ spl12_5 ),
inference(avatar_split_clause,[],[f170,f71,f52,f146,f146]) ).
fof(f71,plain,
( spl12_5
<=> ! [X3] : sP0(X3) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_5])]) ).
fof(f170,plain,
( ! [X0,X1] :
( ~ big_r(sK2,X0)
| ~ big_p(X0)
| ~ big_p(X1)
| ~ big_r(sK2,X1) )
| spl12_1
| ~ spl12_5 ),
inference(resolution,[],[f141,f111]) ).
fof(f111,plain,
( ! [X0,X1] :
( big_r(X0,sK8(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) )
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f108,f69]) ).
fof(f108,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(X0,sK8(X0)) )
| ~ spl12_5 ),
inference(resolution,[],[f72,f37]) ).
fof(f37,plain,
! [X0,X6] :
( ~ sP0(X0)
| ~ big_r(X0,X6)
| ~ big_p(X6)
| ~ big_p(a)
| big_r(X0,sK8(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f72,plain,
( ! [X3] : sP0(X3)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f71]) ).
fof(f141,plain,
( ! [X0,X1] :
( ~ big_r(X1,X0)
| ~ big_r(sK2,sK8(X1))
| ~ big_p(X0) )
| spl12_1
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f139,f110]) ).
fof(f110,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| big_p(sK7(X0)) )
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f107,f69]) ).
fof(f107,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_p(sK7(X0)) )
| ~ spl12_5 ),
inference(resolution,[],[f72,f36]) ).
fof(f36,plain,
! [X0,X6] :
( ~ sP0(X0)
| ~ big_r(X0,X6)
| ~ big_p(X6)
| ~ big_p(a)
| big_p(sK7(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f139,plain,
( ! [X0,X1] :
( ~ big_p(X0)
| ~ big_r(X1,X0)
| ~ big_r(sK2,sK8(X1))
| ~ big_p(sK7(X1)) )
| spl12_1
| ~ spl12_5 ),
inference(resolution,[],[f112,f92]) ).
fof(f92,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_r(sK2,X0)
| ~ big_p(X1) )
| spl12_1 ),
inference(resolution,[],[f54,f35]) ).
fof(f35,plain,
! [X2,X1] :
( sP1
| ~ big_r(X2,X1)
| ~ big_r(sK2,X2)
| ~ big_p(X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f54,plain,
( ~ sP1
| spl12_1 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f112,plain,
( ! [X0,X1] :
( big_r(sK8(X0),sK7(X0))
| ~ big_p(X1)
| ~ big_r(X0,X1) )
| ~ spl12_5 ),
inference(subsumption_resolution,[],[f109,f69]) ).
fof(f109,plain,
( ! [X0,X1] :
( ~ big_r(X0,X1)
| ~ big_p(X1)
| ~ big_p(a)
| big_r(sK8(X0),sK7(X0)) )
| ~ spl12_5 ),
inference(resolution,[],[f72,f38]) ).
fof(f38,plain,
! [X0,X6] :
( ~ sP0(X0)
| ~ big_r(X0,X6)
| ~ big_p(X6)
| ~ big_p(a)
| big_r(sK8(X0),sK7(X0)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f122,plain,
( spl12_9
| spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8 ),
inference(avatar_split_clause,[],[f119,f86,f81,f76,f52,f94]) ).
fof(f94,plain,
( spl12_9
<=> big_p(sK2) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_9])]) ).
fof(f76,plain,
( spl12_6
<=> ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_6])]) ).
fof(f81,plain,
( spl12_7
<=> ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_7])]) ).
fof(f86,plain,
( spl12_8
<=> ! [X3] :
( big_p(sK10(X3))
| big_p(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl12_8])]) ).
fof(f119,plain,
( big_p(sK2)
| spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8 ),
inference(duplicate_literal_removal,[],[f118]) ).
fof(f118,plain,
( big_p(sK2)
| big_p(sK2)
| spl12_1
| ~ spl12_6
| ~ spl12_7
| ~ spl12_8 ),
inference(resolution,[],[f117,f82]) ).
fof(f82,plain,
( ! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3) )
| ~ spl12_7 ),
inference(avatar_component_clause,[],[f81]) ).
fof(f117,plain,
( ! [X0] :
( ~ big_r(sK2,sK11(X0))
| big_p(X0) )
| spl12_1
| ~ spl12_6
| ~ spl12_8 ),
inference(subsumption_resolution,[],[f114,f87]) ).
fof(f87,plain,
( ! [X3] :
( big_p(sK10(X3))
| big_p(X3) )
| ~ spl12_8 ),
inference(avatar_component_clause,[],[f86]) ).
fof(f114,plain,
( ! [X0] :
( ~ big_r(sK2,sK11(X0))
| ~ big_p(sK10(X0))
| big_p(X0) )
| spl12_1
| ~ spl12_6 ),
inference(resolution,[],[f92,f77]) ).
fof(f77,plain,
( ! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3) )
| ~ spl12_6 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f106,plain,
( ~ spl12_9
| spl12_11
| spl12_1 ),
inference(avatar_split_clause,[],[f91,f52,f103,f94]) ).
fof(f91,plain,
( big_r(sK2,sK3)
| ~ big_p(sK2)
| spl12_1 ),
inference(resolution,[],[f54,f34]) ).
fof(f34,plain,
( sP1
| big_r(sK2,sK3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f101,plain,
( ~ spl12_9
| spl12_10
| spl12_1 ),
inference(avatar_split_clause,[],[f90,f52,f98,f94]) ).
fof(f90,plain,
( big_p(sK3)
| ~ big_p(sK2)
| spl12_1 ),
inference(resolution,[],[f54,f33]) ).
fof(f33,plain,
( sP1
| big_p(sK3)
| ~ big_p(sK2) ),
inference(cnf_transformation,[],[f14]) ).
fof(f88,plain,
( spl12_1
| spl12_8 ),
inference(avatar_split_clause,[],[f84,f86,f52]) ).
fof(f84,plain,
! [X3] :
( big_p(sK10(X3))
| big_p(X3)
| sP1 ),
inference(subsumption_resolution,[],[f43,f69]) ).
fof(f43,plain,
! [X3] :
( big_p(sK10(X3))
| big_p(X3)
| ~ big_p(a)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f83,plain,
( spl12_1
| spl12_7 ),
inference(avatar_split_clause,[],[f79,f81,f52]) ).
fof(f79,plain,
! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3)
| sP1 ),
inference(subsumption_resolution,[],[f44,f69]) ).
fof(f44,plain,
! [X3] :
( big_r(X3,sK11(X3))
| big_p(X3)
| ~ big_p(a)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f78,plain,
( spl12_1
| spl12_6 ),
inference(avatar_split_clause,[],[f74,f76,f52]) ).
fof(f74,plain,
! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3)
| sP1 ),
inference(subsumption_resolution,[],[f45,f69]) ).
fof(f45,plain,
! [X3] :
( big_r(sK11(X3),sK10(X3))
| big_p(X3)
| ~ big_p(a)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f73,plain,
( spl12_1
| spl12_5 ),
inference(avatar_split_clause,[],[f46,f71,f52]) ).
fof(f46,plain,
! [X3] :
( sP0(X3)
| sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f67,plain,
( ~ spl12_1
| ~ spl12_3
| ~ spl12_4 ),
inference(avatar_split_clause,[],[f48,f64,f60,f52]) ).
fof(f48,plain,
( ~ sP0(sK9)
| ~ big_p(sK9)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
fof(f58,plain,
( ~ spl12_1
| spl12_2 ),
inference(avatar_split_clause,[],[f50,f56,f52]) ).
fof(f50,plain,
! [X2,X1] :
( ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ sP1 ),
inference(subsumption_resolution,[],[f49,f42]) ).
fof(f42,plain,
! [X2,X0,X1] :
( sP0(X0)
| ~ big_r(X2,X1)
| ~ big_r(X0,X2)
| ~ big_p(X1) ),
inference(cnf_transformation,[],[f20]) ).
fof(f49,plain,
! [X2,X1] :
( ~ sP0(sK9)
| ~ big_r(X2,X1)
| ~ big_r(sK9,X2)
| ~ big_p(X1)
| ~ sP1 ),
inference(cnf_transformation,[],[f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN067+1 : TPTP v8.2.0. Released v2.0.0.
% 0.12/0.14 % 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
% 0.14/0.35 % Computer : n003.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon May 20 14:00:08 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a FOF_THM_RFO_NEQ problem
% 0.14/0.36 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
% 0.60/0.82 % (22165)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)
% 0.60/0.82 % (22158)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)
% 0.60/0.82 % (22160)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2995ds/78Mi)
% 0.60/0.82 % (22159)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 (2995ds/51Mi)
% 0.60/0.82 % (22162)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)
% 0.60/0.82 % (22161)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)
% 0.60/0.82 % (22163)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2995ds/45Mi)
% 0.60/0.82 % (22164)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)
% 0.60/0.82 % (22163)Refutation not found, incomplete strategy% (22163)------------------------------
% 0.60/0.82 % (22163)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (22163)Termination reason: Refutation not found, incomplete strategy
% 0.60/0.82
% 0.60/0.82 % (22163)Memory used [KB]: 1047
% 0.60/0.82 % (22163)Time elapsed: 0.003 s
% 0.60/0.82 % (22163)Instructions burned: 3 (million)
% 0.60/0.82 % (22165)First to succeed.
% 0.60/0.82 % (22163)------------------------------
% 0.60/0.82 % (22163)------------------------------
% 0.60/0.82 % (22165)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-22019"
% 0.60/0.82 % (22160)Also succeeded, but the first one will report.
% 0.60/0.82 % (22165)Refutation found. Thanks to Tanya!
% 0.60/0.82 % SZS status Theorem for theBenchmark
% 0.60/0.82 % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.82 % (22165)------------------------------
% 0.60/0.82 % (22165)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.82 % (22165)Termination reason: Refutation
% 0.60/0.82
% 0.60/0.82 % (22165)Memory used [KB]: 1125
% 0.60/0.82 % (22165)Time elapsed: 0.006 s
% 0.60/0.82 % (22165)Instructions burned: 12 (million)
% 0.60/0.82 % (22019)Success in time 0.459 s
% 0.60/0.82 % Vampire---4.8 exiting
%------------------------------------------------------------------------------