TSTP Solution File: SWW339+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% 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 : n017.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 06:58:59 EDT 2024
% Result : Theorem 0.98s 1.05s
% Output : Refutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 69 ( 15 unt; 0 def)
% Number of atoms : 181 ( 4 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 182 ( 70 ~; 67 |; 18 &)
% ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 106 ( 95 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5978,plain,
$false,
inference(avatar_sat_refutation,[],[f5878,f5958,f5962,f5976]) ).
fof(f5976,plain,
( ~ spl17_16
| ~ spl17_23 ),
inference(avatar_contradiction_clause,[],[f5975]) ).
fof(f5975,plain,
( $false
| ~ spl17_16
| ~ spl17_23 ),
inference(subsumption_resolution,[],[f5974,f5512]) ).
fof(f5512,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK2),
inference(cnf_transformation,[],[f5451]) ).
fof(f5451,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2),v_ts))
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f5448,f5450,f5449]) ).
fof(f5449,plain,
( ? [X0] :
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) )
=> ( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ) ),
introduced(choice_axiom,[]) ).
fof(f5450,plain,
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
=> ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2),v_ts)) ) ),
introduced(choice_axiom,[]) ).
fof(f5448,plain,
? [X0] :
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(rectify,[],[f5336]) ).
fof(f5336,plain,
? [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
& ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5232]) ).
fof(f5232,plain,
~ ! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5230]) ).
fof(f5230,negated_conjecture,
~ ! [X12] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) ) ),
inference(negated_conjecture,[],[f5229]) ).
fof(f5229,conjecture,
! [X12] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(f5974,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK2)
| ~ spl17_16
| ~ spl17_23 ),
inference(duplicate_literal_removal,[],[f5972]) ).
fof(f5972,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK2)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK2)
| ~ spl17_16
| ~ spl17_23 ),
inference(resolution,[],[f5873,f5961]) ).
fof(f5961,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK0(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2) )
| ~ spl17_23 ),
inference(avatar_component_clause,[],[f5960]) ).
fof(f5960,plain,
( spl17_23
<=> ! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_23])]) ).
fof(f5873,plain,
( ! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2) )
| ~ spl17_16 ),
inference(avatar_component_clause,[],[f5872]) ).
fof(f5872,plain,
( spl17_16
<=> ! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_16])]) ).
fof(f5962,plain,
( spl17_23
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f5915,f5875,f5960]) ).
fof(f5875,plain,
( spl17_17
<=> hBOOL(hAPP(sF15,v_ts_H)) ),
introduced(avatar_definition,[new_symbols(naming,[spl17_17])]) ).
fof(f5915,plain,
! [X0] :
( ~ hBOOL(hAPP(sF15,v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK0(X0)) ),
inference(superposition,[],[f5912,f5686]) ).
fof(f5686,plain,
hAPP(sF14,sK2) = sF15,
introduced(function_definition,[new_symbols(definition,[sF15])]) ).
fof(f5912,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF14,X0),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X0)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,sK0(X1)) ),
inference(resolution,[],[f5695,f5689]) ).
fof(f5689,plain,
! [X2] :
( ~ hBOOL(hAPP(hAPP(sF14,X2),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,X2) ),
inference(definition_folding,[],[f5510,f5685,f5684]) ).
fof(f5684,plain,
tc_Hoare__Mirabelle_Otriple(t_a) = sF13,
introduced(function_definition,[new_symbols(definition,[sF13])]) ).
fof(f5685,plain,
c_member(sF13) = sF14,
introduced(function_definition,[new_symbols(definition,[sF14])]) ).
fof(f5510,plain,
! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK1,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ),
inference(cnf_transformation,[],[f5451]) ).
fof(f5695,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(sF14,sK0(X0)),v_G))
| ~ hBOOL(hAPP(hAPP(sF14,X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ),
inference(forward_demodulation,[],[f5694,f5685]) ).
fof(f5694,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(sF13),sK0(X0)),v_G))
| ~ hBOOL(hAPP(hAPP(sF14,X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ),
inference(forward_demodulation,[],[f5693,f5684]) ).
fof(f5693,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF14,X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK0(X0)),v_G)) ),
inference(forward_demodulation,[],[f5692,f5685]) ).
fof(f5692,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF13),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK0(X0)),v_G)) ),
inference(forward_demodulation,[],[f5507,f5684]) ).
fof(f5507,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK0(X0)),v_G)) ),
inference(cnf_transformation,[],[f5447]) ).
fof(f5447,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H)) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK0(X0)),v_G)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5445,f5446]) ).
fof(f5446,plain,
! [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) )
=> ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK0(X0)),v_G)) ) ),
introduced(choice_axiom,[]) ).
fof(f5445,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H)) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(rectify,[],[f5335]) ).
fof(f5335,plain,
! [X0] :
( ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H)) )
| ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5231]) ).
fof(f5231,plain,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5227]) ).
fof(f5227,axiom,
! [X12] :
( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X12,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f5958,plain,
spl17_17,
inference(avatar_split_clause,[],[f5955,f5875]) ).
fof(f5955,plain,
hBOOL(hAPP(sF15,v_ts_H)),
inference(resolution,[],[f5933,f5714]) ).
fof(f5714,plain,
! [X0] :
( ~ hBOOL(hAPP(X0,sK2))
| hBOOL(hAPP(sF15,X0)) ),
inference(superposition,[],[f5710,f5686]) ).
fof(f5710,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(sF14,X0),X1))
| ~ hBOOL(hAPP(X1,X0)) ),
inference(superposition,[],[f5546,f5685]) ).
fof(f5546,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f5476]) ).
fof(f5476,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) )
& ( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ) ),
inference(nnf_transformation,[],[f5256]) ).
fof(f5256,plain,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
<=> hBOOL(hAPP(X0,X1)) ),
inference(rectify,[],[f168]) ).
fof(f168,axiom,
! [X9,X14,X5] :
( hBOOL(hAPP(hAPP(c_member(X5),X14),X9))
<=> hBOOL(hAPP(X9,X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(f5933,plain,
hBOOL(hAPP(v_ts_H,sK2)),
inference(resolution,[],[f5929,f5707]) ).
fof(f5707,plain,
hBOOL(hAPP(v_ts,sK2)),
inference(subsumption_resolution,[],[f5706,f5688]) ).
fof(f5688,plain,
hBOOL(sF16),
inference(definition_folding,[],[f5511,f5687,f5686,f5685,f5684]) ).
fof(f5687,plain,
hAPP(sF15,v_ts) = sF16,
introduced(function_definition,[new_symbols(definition,[sF16])]) ).
fof(f5511,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2),v_ts)),
inference(cnf_transformation,[],[f5451]) ).
fof(f5706,plain,
( ~ hBOOL(sF16)
| hBOOL(hAPP(v_ts,sK2)) ),
inference(superposition,[],[f5705,f5687]) ).
fof(f5705,plain,
! [X0] :
( ~ hBOOL(hAPP(sF15,X0))
| hBOOL(hAPP(X0,sK2)) ),
inference(superposition,[],[f5704,f5686]) ).
fof(f5704,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF14,X0),X1))
| hBOOL(hAPP(X1,X0)) ),
inference(superposition,[],[f5545,f5685]) ).
fof(f5545,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f5476]) ).
fof(f5929,plain,
! [X0] :
( ~ hBOOL(hAPP(v_ts,X0))
| hBOOL(hAPP(v_ts_H,X0)) ),
inference(resolution,[],[f5564,f5696]) ).
fof(f5696,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(sF13,tc_HOL_Obool)),v_ts),v_ts_H)),
inference(forward_demodulation,[],[f5509,f5684]) ).
fof(f5509,plain,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
inference(cnf_transformation,[],[f5228]) ).
fof(f5228,axiom,
hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_ts),v_ts_H)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f5564,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
| ~ hBOOL(hAPP(X2,X0))
| hBOOL(hAPP(X1,X0)) ),
inference(cnf_transformation,[],[f5380]) ).
fof(f5380,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(X1,X0))
| ~ hBOOL(hAPP(X2,X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
inference(flattening,[],[f5379]) ).
fof(f5379,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(X1,X0))
| ~ hBOOL(hAPP(X2,X0))
| ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1)) ),
inference(ennf_transformation,[],[f5268]) ).
fof(f5268,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X3,tc_HOL_Obool)),X2),X1))
=> ( hBOOL(hAPP(X2,X0))
=> hBOOL(hAPP(X1,X0)) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X14,X15,X16,X5] :
( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(X5,tc_HOL_Obool)),X16),X15))
=> ( hBOOL(hAPP(X16,X14))
=> hBOOL(hAPP(X15,X14)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_predicate1D) ).
fof(f5878,plain,
( spl17_16
| ~ spl17_17 ),
inference(avatar_split_clause,[],[f5870,f5875,f5872]) ).
fof(f5870,plain,
! [X0] :
( ~ hBOOL(hAPP(sF15,v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0)) ),
inference(superposition,[],[f5691,f5686]) ).
fof(f5691,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF14,X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0)) ),
inference(forward_demodulation,[],[f5690,f5685]) ).
fof(f5690,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(sF13),X1),v_ts_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0)) ),
inference(forward_demodulation,[],[f5508,f5684]) ).
fof(f5508,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts_H))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0)) ),
inference(cnf_transformation,[],[f5447]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW339+1 : TPTP v8.2.0. Released v5.2.0.
% 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 : n017.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 : Sat May 18 19:49:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35 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
% 0.79/0.97 % (20552)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 (2993ds/56Mi)
% 0.79/0.97 % (20545)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 (2993ds/34Mi)
% 0.79/0.97 % (20546)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 (2993ds/51Mi)
% 0.79/0.97 % (20548)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2993ds/33Mi)
% 0.79/0.97 % (20547)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2993ds/78Mi)
% 0.79/0.97 % (20549)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 (2993ds/34Mi)
% 0.79/0.97 % (20550)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2993ds/45Mi)
% 0.79/0.97 % (20551)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 (2993ds/83Mi)
% 0.79/0.99 % (20552)Instruction limit reached!
% 0.79/0.99 % (20552)------------------------------
% 0.79/0.99 % (20552)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.99 % (20552)Termination reason: Unknown
% 0.79/0.99 % (20552)Termination phase: Property scanning
% 0.79/0.99
% 0.79/0.99 % (20552)Memory used [KB]: 6405
% 0.79/0.99 % (20552)Time elapsed: 0.018 s
% 0.79/0.99 % (20552)Instructions burned: 58 (million)
% 0.79/0.99 % (20552)------------------------------
% 0.79/0.99 % (20552)------------------------------
% 0.79/0.99 % (20545)Instruction limit reached!
% 0.79/0.99 % (20545)------------------------------
% 0.79/0.99 % (20545)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.99 % (20545)Termination reason: Unknown
% 0.79/0.99 % (20545)Termination phase: SInE selection
% 0.79/0.99
% 0.79/0.99 % (20545)Memory used [KB]: 6142
% 0.79/0.99 % (20545)Time elapsed: 0.020 s
% 0.79/0.99 % (20545)Instructions burned: 34 (million)
% 0.79/0.99 % (20545)------------------------------
% 0.79/0.99 % (20545)------------------------------
% 0.79/0.99 % (20553)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2993ds/55Mi)
% 0.79/0.99 % (20548)Instruction limit reached!
% 0.79/0.99 % (20548)------------------------------
% 0.79/0.99 % (20548)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.99 % (20548)Termination reason: Unknown
% 0.79/0.99 % (20548)Termination phase: SInE selection
% 0.79/0.99
% 0.79/0.99 % (20548)Memory used [KB]: 6142
% 0.79/0.99 % (20548)Time elapsed: 0.021 s
% 0.79/0.99 % (20548)Instructions burned: 33 (million)
% 0.79/0.99 % (20548)------------------------------
% 0.79/0.99 % (20548)------------------------------
% 0.79/0.99 % (20549)Instruction limit reached!
% 0.79/0.99 % (20549)------------------------------
% 0.79/0.99 % (20549)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/0.99 % (20549)Termination reason: Unknown
% 0.79/0.99 % (20549)Termination phase: SInE selection
% 0.79/0.99
% 0.79/0.99 % (20549)Memory used [KB]: 6142
% 0.79/0.99 % (20549)Time elapsed: 0.022 s
% 0.79/0.99 % (20549)Instructions burned: 35 (million)
% 0.79/0.99 % (20549)------------------------------
% 0.79/0.99 % (20549)------------------------------
% 0.79/0.99 % (20554)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2993ds/50Mi)
% 0.79/0.99 % (20555)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2993ds/208Mi)
% 0.79/1.00 % (20556)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2993ds/52Mi)
% 0.79/1.00 % (20550)Instruction limit reached!
% 0.79/1.00 % (20550)------------------------------
% 0.79/1.00 % (20550)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/1.00 % (20550)Termination reason: Unknown
% 0.79/1.00 % (20550)Termination phase: Preprocessing 1
% 0.79/1.00
% 0.79/1.00 % (20550)Memory used [KB]: 6404
% 0.79/1.00 % (20550)Time elapsed: 0.029 s
% 0.79/1.00 % (20550)Instructions burned: 45 (million)
% 0.79/1.00 % (20550)------------------------------
% 0.79/1.00 % (20550)------------------------------
% 0.79/1.00 % (20546)Instruction limit reached!
% 0.79/1.00 % (20546)------------------------------
% 0.79/1.00 % (20546)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/1.00 % (20546)Termination reason: Unknown
% 0.79/1.00 % (20546)Termination phase: SInE selection
% 0.79/1.00
% 0.79/1.00 % (20546)Memory used [KB]: 6254
% 0.79/1.00 % (20546)Time elapsed: 0.030 s
% 0.79/1.00 % (20546)Instructions burned: 51 (million)
% 0.79/1.00 % (20546)------------------------------
% 0.79/1.00 % (20546)------------------------------
% 0.79/1.00 % (20557)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2993ds/518Mi)
% 0.79/1.00 % (20558)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2993ds/42Mi)
% 0.79/1.01 % (20553)Instruction limit reached!
% 0.79/1.01 % (20553)------------------------------
% 0.79/1.01 % (20553)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.79/1.01 % (20553)Termination reason: Unknown
% 0.79/1.01 % (20553)Termination phase: Preprocessing 1
% 0.79/1.01
% 0.79/1.01 % (20553)Memory used [KB]: 6922
% 0.79/1.01 % (20553)Time elapsed: 0.018 s
% 0.79/1.01 % (20553)Instructions burned: 57 (million)
% 0.79/1.01 % (20553)------------------------------
% 0.79/1.01 % (20553)------------------------------
% 0.79/1.01 % (20559)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on theBenchmark for (2993ds/243Mi)
% 0.98/1.01 % (20547)Instruction limit reached!
% 0.98/1.01 % (20547)------------------------------
% 0.98/1.01 % (20547)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/1.01 % (20547)Termination reason: Unknown
% 0.98/1.01 % (20547)Termination phase: Property scanning
% 0.98/1.01
% 0.98/1.01 % (20547)Memory used [KB]: 6904
% 0.98/1.01 % (20547)Time elapsed: 0.043 s
% 0.98/1.01 % (20547)Instructions burned: 78 (million)
% 0.98/1.01 % (20547)------------------------------
% 0.98/1.01 % (20547)------------------------------
% 0.98/1.02 % (20560)lrs+1011_2:9_sil=2000:lsd=10:newcnf=on:i=117:sd=2:awrs=decay:ss=included:amm=off:ep=R_0 on theBenchmark for (2993ds/117Mi)
% 0.98/1.02 % (20551)Instruction limit reached!
% 0.98/1.02 % (20551)------------------------------
% 0.98/1.02 % (20551)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/1.02 % (20551)Termination reason: Unknown
% 0.98/1.02 % (20551)Termination phase: SInE selection
% 0.98/1.02
% 0.98/1.02 % (20551)Memory used [KB]: 6159
% 0.98/1.02 % (20551)Time elapsed: 0.048 s
% 0.98/1.02 % (20551)Instructions burned: 84 (million)
% 0.98/1.02 % (20551)------------------------------
% 0.98/1.02 % (20551)------------------------------
% 0.98/1.02 % (20554)Instruction limit reached!
% 0.98/1.02 % (20554)------------------------------
% 0.98/1.02 % (20554)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/1.02 % (20554)Termination reason: Unknown
% 0.98/1.02 % (20554)Termination phase: SInE selection
% 0.98/1.02
% 0.98/1.02 % (20554)Memory used [KB]: 6223
% 0.98/1.02 % (20554)Time elapsed: 0.029 s
% 0.98/1.02 % (20554)Instructions burned: 51 (million)
% 0.98/1.02 % (20554)------------------------------
% 0.98/1.02 % (20554)------------------------------
% 0.98/1.02 % (20561)dis+1011_11:1_sil=2000:avsq=on:i=143:avsqr=1,16:ep=RS:rawr=on:aac=none:lsd=100:mep=off:fde=none:newcnf=on:bsr=unit_only_0 on theBenchmark for (2993ds/143Mi)
% 0.98/1.03 % (20562)lrs+1011_1:2_to=lpo:sil=8000:plsqc=1:plsq=on:plsqr=326,59:sp=weighted_frequency:plsql=on:nwc=10.0:newcnf=on:i=93:awrs=converge:awrsf=200:bd=off:ins=1:rawr=on:alpa=false:avsq=on:avsqr=1,16_0 on theBenchmark for (2993ds/93Mi)
% 0.98/1.03 % (20558)Instruction limit reached!
% 0.98/1.03 % (20558)------------------------------
% 0.98/1.03 % (20558)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/1.03 % (20558)Termination reason: Unknown
% 0.98/1.03 % (20558)Termination phase: Preprocessing 1
% 0.98/1.03
% 0.98/1.03 % (20558)Memory used [KB]: 7717
% 0.98/1.03 % (20558)Time elapsed: 0.024 s
% 0.98/1.03 % (20558)Instructions burned: 43 (million)
% 0.98/1.03 % (20558)------------------------------
% 0.98/1.03 % (20558)------------------------------
% 0.98/1.03 % (20556)Instruction limit reached!
% 0.98/1.03 % (20556)------------------------------
% 0.98/1.03 % (20556)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/1.03 % (20556)Termination reason: Unknown
% 0.98/1.03 % (20556)Termination phase: Preprocessing 1
% 0.98/1.03
% 0.98/1.03 % (20556)Memory used [KB]: 6480
% 0.98/1.03 % (20556)Time elapsed: 0.034 s
% 0.98/1.03 % (20556)Instructions burned: 53 (million)
% 0.98/1.03 % (20556)------------------------------
% 0.98/1.03 % (20556)------------------------------
% 0.98/1.03 % (20563)lrs+1666_1:1_sil=4000:sp=occurrence:sos=on:urr=on:newcnf=on:i=62:amm=off:ep=R:erd=off:nm=0:plsq=on:plsqr=14,1_0 on theBenchmark for (2993ds/62Mi)
% 0.98/1.03 % (20564)lrs+21_2461:262144_anc=none:drc=off:sil=2000:sp=occurrence:nwc=6.0:updr=off:st=3.0:i=32:sd=2:afp=4000:erml=3:nm=14:afq=2.0:uhcvi=on:ss=included:er=filter:abs=on:nicw=on:ile=on:sims=off:s2a=on:s2agt=50:s2at=-1.0:plsq=on:plsql=on:plsqc=2:plsqr=1,32:newcnf=on:bd=off:to=lpo_0 on theBenchmark for (2993ds/32Mi)
% 0.98/1.04 % (20555)First to succeed.
% 0.98/1.04 % (20555)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-20544"
% 0.98/1.05 % (20555)Refutation found. Thanks to Tanya!
% 0.98/1.05 % SZS status Theorem for theBenchmark
% 0.98/1.05 % SZS output start Proof for theBenchmark
% See solution above
% 0.98/1.05 % (20555)------------------------------
% 0.98/1.05 % (20555)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.98/1.05 % (20555)Termination reason: Refutation
% 0.98/1.05
% 0.98/1.05 % (20555)Memory used [KB]: 6511
% 0.98/1.05 % (20555)Time elapsed: 0.051 s
% 0.98/1.05 % (20555)Instructions burned: 85 (million)
% 0.98/1.05 % (20544)Success in time 0.689 s
% 0.98/1.05 % Vampire---4.8 exiting
%------------------------------------------------------------------------------