TSTP Solution File: NUM536+2 by SnakeForV---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:00:25 EDT 2022
% Result : Theorem 2.02s 0.65s
% Output : Refutation 2.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 111 ( 14 unt; 0 def)
% Number of atoms : 461 ( 67 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 574 ( 224 ~; 239 |; 80 &)
% ( 16 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 97 ( 93 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1011,plain,
$false,
inference(avatar_sat_refutation,[],[f553,f557,f832,f842,f1010]) ).
fof(f1010,plain,
( ~ spl10_21
| ~ spl10_28 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1009,plain,
( $false
| ~ spl10_21
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f1008,f102]) ).
fof(f102,plain,
aSet0(xS),
inference(cnf_transformation,[],[f18]) ).
fof(f18,axiom,
( aElement0(xx)
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__679) ).
fof(f1008,plain,
( ~ aSet0(xS)
| ~ spl10_21
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f1007,f851]) ).
fof(f851,plain,
( ~ aSubsetOf0(xS,sF9)
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f850,f151]) ).
fof(f151,plain,
xS != sF9,
inference(definition_folding,[],[f112,f145,f143]) ).
fof(f143,plain,
sdtpldt0(xS,xx) = sF8,
introduced(function_definition,[]) ).
fof(f145,plain,
sdtmndt0(sF8,xx) = sF9,
introduced(function_definition,[]) ).
fof(f112,plain,
xS != sdtmndt0(sdtpldt0(xS,xx),xx),
inference(cnf_transformation,[],[f76]) ).
fof(f76,plain,
( aSet0(sdtpldt0(xS,xx))
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X0)
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) )
& ( ( aElement0(X0)
& xx != X0
& aElementOf0(X0,sdtpldt0(xS,xx)) )
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& xS != sdtmndt0(sdtpldt0(xS,xx),xx)
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(xS,xx))
| ( xx != X1
& ~ aElementOf0(X1,xS) )
| ~ aElement0(X1) )
& ( ( ( xx = X1
| aElementOf0(X1,xS) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ) ) ),
inference(rectify,[],[f75]) ).
fof(f75,plain,
( aSet0(sdtpldt0(xS,xx))
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X1)
| xx = X1
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) )
& ( ( aElement0(X1)
& xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx)) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& xS != sdtmndt0(sdtpldt0(xS,xx),xx)
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ) ),
inference(flattening,[],[f74]) ).
fof(f74,plain,
( aSet0(sdtpldt0(xS,xx))
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X1)
| xx = X1
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) )
& ( ( aElement0(X1)
& xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx)) )
| ~ aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx)) ) )
& xS != sdtmndt0(sdtpldt0(xS,xx),xx)
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(xS,xx))
| ( xx != X0
& ~ aElementOf0(X0,xS) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f35,plain,
( aSet0(sdtpldt0(xS,xx))
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx)) ) )
& xS != sdtmndt0(sdtpldt0(xS,xx),xx)
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) ) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
( xS != sdtmndt0(sdtpldt0(xS,xx),xx)
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx)) ) )
& aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,plain,
~ ( ( aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) ) )
=> ( ( aSet0(sdtmndt0(sdtpldt0(xS,xx),xx))
& ! [X1] :
( aElementOf0(X1,sdtmndt0(sdtpldt0(xS,xx),xx))
<=> ( aElement0(X1)
& xx != X1
& aElementOf0(X1,sdtpldt0(xS,xx)) ) ) )
=> xS = sdtmndt0(sdtpldt0(xS,xx),xx) ) ),
inference(rectify,[],[f21]) ).
fof(f21,negated_conjecture,
~ ( ( aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) ) )
=> ( ( ! [X0] :
( ( xx != X0
& aElement0(X0)
& aElementOf0(X0,sdtpldt0(xS,xx)) )
<=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> xS = sdtmndt0(sdtpldt0(xS,xx),xx) ) ),
inference(negated_conjecture,[],[f20]) ).
fof(f20,conjecture,
( ( aSet0(sdtpldt0(xS,xx))
& ! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
<=> ( ( xx = X0
| aElementOf0(X0,xS) )
& aElement0(X0) ) ) )
=> ( ( ! [X0] :
( ( xx != X0
& aElement0(X0)
& aElementOf0(X0,sdtpldt0(xS,xx)) )
<=> aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) )
& aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)) )
=> xS = sdtmndt0(sdtpldt0(xS,xx),xx) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f850,plain,
( xS = sF9
| ~ aSubsetOf0(xS,sF9)
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f846,f102]) ).
fof(f846,plain,
( ~ aSet0(xS)
| xS = sF9
| ~ aSubsetOf0(xS,sF9)
| ~ spl10_28 ),
inference(resolution,[],[f827,f509]) ).
fof(f509,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| X0 = X1
| ~ aSubsetOf0(X0,X1) ),
inference(subsumption_resolution,[],[f104,f84]) ).
fof(f84,plain,
! [X0,X1] :
( ~ aSubsetOf0(X1,X0)
| aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f59,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ( aElementOf0(sK4(X0,X1),X1)
& ~ aElementOf0(sK4(X0,X1),X0) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f57,f58]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
=> ( aElementOf0(sK4(X0,X1),X1)
& ~ aElementOf0(sK4(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f57,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f56]) ).
fof(f56,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f55]) ).
fof(f55,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) ) )
& ( ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) )
| ~ aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f43,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( aSet0(X1)
& ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f104,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| X0 = X1
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0,X1] :
( ~ aSet0(X1)
| ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| X0 = X1 ),
inference(rectify,[],[f42]) ).
fof(f42,plain,
! [X1,X0] :
( ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| X0 = X1 ),
inference(flattening,[],[f41]) ).
fof(f41,plain,
! [X1,X0] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,plain,
! [X1,X0] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X1,X0] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X0,X1)
& aSubsetOf0(X1,X0) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(f827,plain,
( aSubsetOf0(sF9,xS)
| ~ spl10_28 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f825,plain,
( spl10_28
<=> aSubsetOf0(sF9,xS) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_28])]) ).
fof(f1007,plain,
( aSubsetOf0(xS,sF9)
| ~ aSet0(xS)
| ~ spl10_21
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f1006,f87]) ).
fof(f87,plain,
~ aElementOf0(xx,xS),
inference(cnf_transformation,[],[f19]) ).
fof(f19,axiom,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__679_02) ).
fof(f1006,plain,
( aElementOf0(xx,xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ spl10_21
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f1004,f146]) ).
fof(f146,plain,
aSet0(sF9),
inference(definition_folding,[],[f117,f145,f143]) ).
fof(f117,plain,
aSet0(sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(cnf_transformation,[],[f76]) ).
fof(f1004,plain,
( ~ aSet0(sF9)
| aElementOf0(xx,xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF9)
| ~ spl10_21
| ~ spl10_28 ),
inference(superposition,[],[f86,f999]) ).
fof(f999,plain,
( xx = sK4(sF9,xS)
| ~ spl10_21
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f998,f102]) ).
fof(f998,plain,
( xx = sK4(sF9,xS)
| ~ aSet0(xS)
| ~ spl10_21
| ~ spl10_28 ),
inference(subsumption_resolution,[],[f997,f851]) ).
fof(f997,plain,
( xx = sK4(sF9,xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(xS)
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f996,f146]) ).
fof(f996,plain,
( ~ aSet0(sF9)
| xx = sK4(sF9,xS)
| aSubsetOf0(xS,sF9)
| ~ aSet0(xS)
| ~ spl10_21 ),
inference(duplicate_literal_removal,[],[f991]) ).
fof(f991,plain,
( aSubsetOf0(xS,sF9)
| aSubsetOf0(xS,sF9)
| ~ aSet0(sF9)
| ~ aSet0(xS)
| ~ aSet0(xS)
| xx = sK4(sF9,xS)
| ~ spl10_21 ),
inference(resolution,[],[f804,f86]) ).
fof(f804,plain,
( ! [X1] :
( ~ aElementOf0(sK4(sF9,X1),xS)
| aSubsetOf0(X1,sF9)
| ~ aSet0(X1)
| xx = sK4(sF9,X1) )
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f798,f573]) ).
fof(f573,plain,
( ! [X0] :
( ~ aElementOf0(X0,xS)
| aElement0(X0) )
| ~ spl10_21 ),
inference(resolution,[],[f562,f155]) ).
fof(f155,plain,
! [X1] :
( ~ aElementOf0(X1,sF8)
| aElement0(X1) ),
inference(definition_folding,[],[f108,f143]) ).
fof(f108,plain,
! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f562,plain,
( ! [X0] :
( aElementOf0(X0,sF8)
| ~ aElementOf0(X0,xS) )
| ~ spl10_21 ),
inference(subsumption_resolution,[],[f559,f144]) ).
fof(f144,plain,
aSet0(sF8),
inference(definition_folding,[],[f118,f143]) ).
fof(f118,plain,
aSet0(sdtpldt0(xS,xx)),
inference(cnf_transformation,[],[f76]) ).
fof(f559,plain,
( ! [X0] :
( aElementOf0(X0,sF8)
| ~ aSet0(sF8)
| ~ aElementOf0(X0,xS) )
| ~ spl10_21 ),
inference(resolution,[],[f552,f83]) ).
fof(f83,plain,
! [X3,X0,X1] :
( ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f552,plain,
( aSubsetOf0(xS,sF8)
| ~ spl10_21 ),
inference(avatar_component_clause,[],[f550]) ).
fof(f550,plain,
( spl10_21
<=> aSubsetOf0(xS,sF8) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_21])]) ).
fof(f798,plain,
! [X1] :
( aSubsetOf0(X1,sF9)
| ~ aSet0(X1)
| ~ aElement0(sK4(sF9,X1))
| ~ aElementOf0(sK4(sF9,X1),xS)
| xx = sK4(sF9,X1) ),
inference(resolution,[],[f386,f153]) ).
fof(f153,plain,
! [X1] :
( aElementOf0(X1,sF8)
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(definition_folding,[],[f110,f143]) ).
fof(f110,plain,
! [X1] :
( aElementOf0(X1,sdtpldt0(xS,xx))
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f76]) ).
fof(f386,plain,
! [X3] :
( ~ aElementOf0(sK4(sF9,X3),sF8)
| aSubsetOf0(X3,sF9)
| xx = sK4(sF9,X3)
| ~ aSet0(X3) ),
inference(subsumption_resolution,[],[f382,f146]) ).
fof(f382,plain,
! [X3] :
( aSubsetOf0(X3,sF9)
| xx = sK4(sF9,X3)
| ~ aSet0(sF9)
| ~ aElementOf0(sK4(sF9,X3),sF8)
| ~ aSet0(X3) ),
inference(resolution,[],[f85,f283]) ).
fof(f283,plain,
! [X0] :
( aElementOf0(X0,sF9)
| ~ aElementOf0(X0,sF8)
| xx = X0 ),
inference(subsumption_resolution,[],[f147,f155]) ).
fof(f147,plain,
! [X0] :
( ~ aElementOf0(X0,sF8)
| xx = X0
| aElementOf0(X0,sF9)
| ~ aElement0(X0) ),
inference(definition_folding,[],[f116,f143,f145,f143]) ).
fof(f116,plain,
! [X0] :
( aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx))
| ~ aElement0(X0)
| xx = X0
| ~ aElementOf0(X0,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f85,plain,
! [X0,X1] :
( ~ aElementOf0(sK4(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f86,plain,
! [X0,X1] :
( aElementOf0(sK4(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f842,plain,
( spl10_28
| ~ spl10_29 ),
inference(avatar_split_clause,[],[f841,f829,f825]) ).
fof(f829,plain,
( spl10_29
<=> xx = sK4(xS,sF9) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_29])]) ).
fof(f841,plain,
( aSubsetOf0(sF9,xS)
| ~ spl10_29 ),
inference(subsumption_resolution,[],[f840,f146]) ).
fof(f840,plain,
( ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| ~ spl10_29 ),
inference(subsumption_resolution,[],[f839,f149]) ).
fof(f149,plain,
~ aElementOf0(xx,sF9),
inference(definition_folding,[],[f139,f145,f143]) ).
fof(f139,plain,
~ aElementOf0(xx,sdtmndt0(sdtpldt0(xS,xx),xx)),
inference(equality_resolution,[],[f114]) ).
fof(f114,plain,
! [X0] :
( xx != X0
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f839,plain,
( aSubsetOf0(sF9,xS)
| aElementOf0(xx,sF9)
| ~ aSet0(sF9)
| ~ spl10_29 ),
inference(subsumption_resolution,[],[f837,f102]) ).
fof(f837,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(xS)
| ~ aSet0(sF9)
| aElementOf0(xx,sF9)
| ~ spl10_29 ),
inference(superposition,[],[f86,f831]) ).
fof(f831,plain,
( xx = sK4(xS,sF9)
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f829]) ).
fof(f832,plain,
( spl10_28
| spl10_29 ),
inference(avatar_split_clause,[],[f823,f829,f825]) ).
fof(f823,plain,
( xx = sK4(xS,sF9)
| aSubsetOf0(sF9,xS) ),
inference(subsumption_resolution,[],[f822,f102]) ).
fof(f822,plain,
( xx = sK4(xS,sF9)
| aSubsetOf0(sF9,xS)
| ~ aSet0(xS) ),
inference(subsumption_resolution,[],[f821,f146]) ).
fof(f821,plain,
( aSubsetOf0(sF9,xS)
| ~ aSet0(sF9)
| ~ aSet0(xS)
| xx = sK4(xS,sF9) ),
inference(duplicate_literal_removal,[],[f817]) ).
fof(f817,plain,
( ~ aSet0(xS)
| ~ aSet0(sF9)
| xx = sK4(xS,sF9)
| ~ aSet0(sF9)
| aSubsetOf0(sF9,xS)
| aSubsetOf0(sF9,xS) ),
inference(resolution,[],[f785,f86]) ).
fof(f785,plain,
! [X2] :
( ~ aElementOf0(sK4(xS,X2),sF9)
| aSubsetOf0(X2,xS)
| xx = sK4(xS,X2)
| ~ aSet0(X2) ),
inference(resolution,[],[f384,f150]) ).
fof(f150,plain,
! [X0] :
( aElementOf0(X0,sF8)
| ~ aElementOf0(X0,sF9) ),
inference(definition_folding,[],[f113,f145,f143,f143]) ).
fof(f113,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(xS,xx))
| ~ aElementOf0(X0,sdtmndt0(sdtpldt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f384,plain,
! [X0] :
( ~ aElementOf0(sK4(xS,X0),sF8)
| xx = sK4(xS,X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,xS) ),
inference(subsumption_resolution,[],[f379,f102]) ).
fof(f379,plain,
! [X0] :
( aSubsetOf0(X0,xS)
| ~ aSet0(xS)
| xx = sK4(xS,X0)
| ~ aSet0(X0)
| ~ aElementOf0(sK4(xS,X0),sF8) ),
inference(resolution,[],[f85,f154]) ).
fof(f154,plain,
! [X1] :
( aElementOf0(X1,xS)
| xx = X1
| ~ aElementOf0(X1,sF8) ),
inference(definition_folding,[],[f109,f143]) ).
fof(f109,plain,
! [X1] :
( xx = X1
| aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtpldt0(xS,xx)) ),
inference(cnf_transformation,[],[f76]) ).
fof(f557,plain,
( spl10_21
| spl10_20 ),
inference(avatar_split_clause,[],[f556,f546,f550]) ).
fof(f546,plain,
( spl10_20
<=> aElement0(sK4(sF8,xS)) ),
introduced(avatar_definition,[new_symbols(naming,[spl10_20])]) ).
fof(f556,plain,
( aSubsetOf0(xS,sF8)
| spl10_20 ),
inference(subsumption_resolution,[],[f555,f144]) ).
fof(f555,plain,
( ~ aSet0(sF8)
| aSubsetOf0(xS,sF8)
| spl10_20 ),
inference(subsumption_resolution,[],[f554,f102]) ).
fof(f554,plain,
( aSubsetOf0(xS,sF8)
| ~ aSet0(xS)
| ~ aSet0(sF8)
| spl10_20 ),
inference(resolution,[],[f548,f396]) ).
fof(f396,plain,
! [X2,X1] :
( aElement0(sK4(X2,X1))
| ~ aSet0(X2)
| ~ aSet0(X1)
| aSubsetOf0(X1,X2) ),
inference(duplicate_literal_removal,[],[f388]) ).
fof(f388,plain,
! [X2,X1] :
( ~ aSet0(X1)
| ~ aSet0(X1)
| aElement0(sK4(X2,X1))
| ~ aSet0(X2)
| aSubsetOf0(X1,X2) ),
inference(resolution,[],[f86,f100]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| aElement0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
fof(f548,plain,
( ~ aElement0(sK4(sF8,xS))
| spl10_20 ),
inference(avatar_component_clause,[],[f546]) ).
fof(f553,plain,
( ~ spl10_20
| spl10_21 ),
inference(avatar_split_clause,[],[f544,f550,f546]) ).
fof(f544,plain,
( aSubsetOf0(xS,sF8)
| ~ aElement0(sK4(sF8,xS)) ),
inference(subsumption_resolution,[],[f543,f102]) ).
fof(f543,plain,
( ~ aSet0(xS)
| aSubsetOf0(xS,sF8)
| ~ aElement0(sK4(sF8,xS)) ),
inference(subsumption_resolution,[],[f541,f144]) ).
fof(f541,plain,
( ~ aElement0(sK4(sF8,xS))
| aSubsetOf0(xS,sF8)
| ~ aSet0(sF8)
| ~ aSet0(xS) ),
inference(duplicate_literal_removal,[],[f539]) ).
fof(f539,plain,
( ~ aSet0(xS)
| ~ aSet0(xS)
| aSubsetOf0(xS,sF8)
| ~ aElement0(sK4(sF8,xS))
| ~ aSet0(sF8)
| aSubsetOf0(xS,sF8) ),
inference(resolution,[],[f383,f86]) ).
fof(f383,plain,
! [X1] :
( ~ aElementOf0(sK4(sF8,X1),xS)
| aSubsetOf0(X1,sF8)
| ~ aSet0(X1)
| ~ aElement0(sK4(sF8,X1)) ),
inference(subsumption_resolution,[],[f380,f144]) ).
fof(f380,plain,
! [X1] :
( aSubsetOf0(X1,sF8)
| ~ aSet0(X1)
| ~ aSet0(sF8)
| ~ aElementOf0(sK4(sF8,X1),xS)
| ~ aElement0(sK4(sF8,X1)) ),
inference(resolution,[],[f85,f153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM536+2 : TPTP v8.1.0. Released v4.0.0.
% 0.14/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 07:31:30 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.56 % (2135)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.21/0.56 % (2125)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.57 % (2127)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.58 % (2135)Instruction limit reached!
% 0.21/0.58 % (2135)------------------------------
% 0.21/0.58 % (2135)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (2127)Instruction limit reached!
% 0.21/0.58 % (2127)------------------------------
% 0.21/0.58 % (2127)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58 % (2127)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (2127)Termination reason: Unknown
% 0.21/0.58 % (2127)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (2127)Memory used [KB]: 1407
% 0.21/0.58 % (2127)Time elapsed: 0.005 s
% 0.21/0.58 % (2127)Instructions burned: 3 (million)
% 0.21/0.58 % (2127)------------------------------
% 0.21/0.58 % (2127)------------------------------
% 0.21/0.58 % (2140)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.58 % (2135)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58 % (2135)Termination reason: Unknown
% 0.21/0.58 % (2135)Termination phase: Saturation
% 0.21/0.58
% 0.21/0.58 % (2135)Memory used [KB]: 6140
% 0.21/0.58 % (2135)Time elapsed: 0.147 s
% 0.21/0.58 % (2135)Instructions burned: 13 (million)
% 0.21/0.58 % (2135)------------------------------
% 0.21/0.58 % (2135)------------------------------
% 0.21/0.58 % (2149)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.21/0.59 % (2140)Instruction limit reached!
% 0.21/0.59 % (2140)------------------------------
% 0.21/0.59 % (2140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.59 % (2140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.59 % (2140)Termination reason: Unknown
% 0.21/0.59 % (2140)Termination phase: Saturation
% 0.21/0.59
% 0.21/0.59 % (2140)Memory used [KB]: 6012
% 0.21/0.59 % (2140)Time elapsed: 0.119 s
% 0.21/0.59 % (2140)Instructions burned: 7 (million)
% 0.21/0.59 % (2140)------------------------------
% 0.21/0.59 % (2140)------------------------------
% 1.65/0.59 % (2151)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.65/0.59 % (2139)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.65/0.59 % (2148)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 1.65/0.59 % (2133)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 1.65/0.60 % (2138)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.02/0.61 % (2132)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 2.02/0.61 % (2139)Instruction limit reached!
% 2.02/0.61 % (2139)------------------------------
% 2.02/0.61 % (2139)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.61 % (2139)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.61 % (2139)Termination reason: Unknown
% 2.02/0.61 % (2139)Termination phase: Property scanning
% 2.02/0.61
% 2.02/0.61 % (2139)Memory used [KB]: 1407
% 2.02/0.61 % (2139)Time elapsed: 0.004 s
% 2.02/0.61 % (2139)Instructions burned: 3 (million)
% 2.02/0.61 % (2139)------------------------------
% 2.02/0.61 % (2139)------------------------------
% 2.02/0.61 % (2131)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 2.02/0.61 % (2129)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.02/0.61 % (2130)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 2.02/0.61 % (2128)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 2.02/0.62 % (2137)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 2.02/0.62 % (2136)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 2.02/0.62 % (2137)Refutation not found, incomplete strategy% (2137)------------------------------
% 2.02/0.62 % (2137)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62 % (2137)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62 % (2137)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.62
% 2.02/0.62 % (2137)Memory used [KB]: 1535
% 2.02/0.62 % (2137)Time elapsed: 0.192 s
% 2.02/0.62 % (2137)Instructions burned: 4 (million)
% 2.02/0.62 % (2137)------------------------------
% 2.02/0.62 % (2137)------------------------------
% 2.02/0.62 % (2141)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 2.02/0.62 % (2136)Instruction limit reached!
% 2.02/0.62 % (2136)------------------------------
% 2.02/0.62 % (2136)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.62 % (2136)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.62 % (2136)Termination reason: Unknown
% 2.02/0.62 % (2136)Termination phase: Saturation
% 2.02/0.62
% 2.02/0.62 % (2136)Memory used [KB]: 6140
% 2.02/0.62 % (2136)Time elapsed: 0.192 s
% 2.02/0.62 % (2136)Instructions burned: 8 (million)
% 2.02/0.62 % (2136)------------------------------
% 2.02/0.62 % (2136)------------------------------
% 2.02/0.62 % (2147)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 2.02/0.63 % (2150)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 2.02/0.63 % (2146)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 2.02/0.63 % (2145)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 2.02/0.63 % (2125)First to succeed.
% 2.02/0.64 % (2129)Instruction limit reached!
% 2.02/0.64 % (2129)------------------------------
% 2.02/0.64 % (2129)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (2129)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (2129)Termination reason: Unknown
% 2.02/0.64 % (2129)Termination phase: Saturation
% 2.02/0.64
% 2.02/0.64 % (2129)Memory used [KB]: 6140
% 2.02/0.64 % (2129)Time elapsed: 0.201 s
% 2.02/0.64 % (2129)Instructions burned: 13 (million)
% 2.02/0.64 % (2129)------------------------------
% 2.02/0.64 % (2129)------------------------------
% 2.02/0.64 % (2130)Refutation not found, incomplete strategy% (2130)------------------------------
% 2.02/0.64 % (2130)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.64 % (2130)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.64 % (2130)Termination reason: Refutation not found, incomplete strategy
% 2.02/0.64
% 2.02/0.64 % (2130)Memory used [KB]: 1535
% 2.02/0.64 % (2130)Time elapsed: 0.195 s
% 2.02/0.64 % (2130)Instructions burned: 7 (million)
% 2.02/0.64 % (2130)------------------------------
% 2.02/0.64 % (2130)------------------------------
% 2.02/0.64 % (2154)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 2.02/0.64 % (2126)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 2.02/0.64 % (2152)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 2.02/0.65 % (2153)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 2.02/0.65 % (2153)Instruction limit reached!
% 2.02/0.65 % (2153)------------------------------
% 2.02/0.65 % (2153)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.65 % (2153)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.65 % (2153)Termination reason: Unknown
% 2.02/0.65 % (2153)Termination phase: Saturation
% 2.02/0.65
% 2.02/0.65 % (2153)Memory used [KB]: 6140
% 2.02/0.65 % (2153)Time elapsed: 0.224 s
% 2.02/0.65 % (2153)Instructions burned: 8 (million)
% 2.02/0.65 % (2153)------------------------------
% 2.02/0.65 % (2153)------------------------------
% 2.02/0.65 % (2144)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 2.02/0.65 % (2125)Refutation found. Thanks to Tanya!
% 2.02/0.65 % SZS status Theorem for theBenchmark
% 2.02/0.65 % SZS output start Proof for theBenchmark
% See solution above
% 2.02/0.66 % (2125)------------------------------
% 2.02/0.66 % (2125)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.02/0.66 % (2125)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.02/0.66 % (2125)Termination reason: Refutation
% 2.02/0.66
% 2.02/0.66 % (2125)Memory used [KB]: 6396
% 2.02/0.66 % (2125)Time elapsed: 0.189 s
% 2.02/0.66 % (2125)Instructions burned: 34 (million)
% 2.02/0.66 % (2125)------------------------------
% 2.02/0.66 % (2125)------------------------------
% 2.02/0.66 % (2124)Success in time 0.297 s
%------------------------------------------------------------------------------