TSTP Solution File: NUM534+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% 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 : Thu Aug 31 11:31:14 EDT 2023
% Result : Theorem 7.58s 1.68s
% Output : CNFRefutation 7.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 9
% Syntax : Number of formulae : 107 ( 21 unt; 0 def)
% Number of atoms : 440 ( 76 equ)
% Maximal formula atoms : 19 ( 4 avg)
% Number of connectives : 554 ( 221 ~; 231 |; 77 &)
% ( 12 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 128 ( 0 sgn; 65 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubASymm) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__617_02) ).
fof(f19,conjecture,
( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f20,negated_conjecture,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
inference(negated_conjecture,[],[f19]) ).
fof(f25,plain,
~ ( ( ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) )
=> ( ( ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)) )
=> xS = sdtpldt0(sdtmndt0(xS,xx),xx) ) ),
inference(rectify,[],[f20]) ).
fof(f28,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f30,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f34,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f35,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f34]) ).
fof(f42,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(ennf_transformation,[],[f25]) ).
fof(f43,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
<=> ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xS,xx))
<=> ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(flattening,[],[f42]) ).
fof(f55,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f30]) ).
fof(f56,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f56]) ).
fof(f58,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f59,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f57,f58]) ).
fof(f72,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
| ~ aElement0(X1) )
& ( ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(nnf_transformation,[],[f43]) ).
fof(f73,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X1] :
( ( aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X1
& ~ aElementOf0(X1,sdtmndt0(xS,xx)) )
| ~ aElement0(X1) )
& ( ( ( xx = X1
| aElementOf0(X1,sdtmndt0(xS,xx)) )
& aElement0(X1) )
| ~ aElementOf0(X1,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xS,xx))
| xx = X0
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0) )
& ( ( xx != X0
& aElementOf0(X0,xS)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
( xS != sdtpldt0(sdtmndt0(xS,xx),xx)
& ! [X0] :
( ( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xS,xx)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx)) )
& aElement0(X0) )
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ) )
& aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xS,xx))
| xx = X1
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) )
& ( ( xx != X1
& aElementOf0(X1,xS)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ) )
& aSet0(sdtmndt0(xS,xx)) ),
inference(rectify,[],[f73]) ).
fof(f75,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f28]) ).
fof(f80,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f81,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f82,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f83,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f59]) ).
fof(f86,plain,
! [X0,X1] :
( X0 = X1
| ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f112,plain,
aSet0(xS),
inference(cnf_transformation,[],[f17]) ).
fof(f113,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f18]) ).
fof(f114,plain,
aSet0(sdtmndt0(xS,xx)),
inference(cnf_transformation,[],[f74]) ).
fof(f115,plain,
! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f116,plain,
! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f118,plain,
! [X1] :
( aElementOf0(X1,sdtmndt0(xS,xx))
| xx = X1
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1) ),
inference(cnf_transformation,[],[f74]) ).
fof(f119,plain,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cnf_transformation,[],[f74]) ).
fof(f121,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f74]) ).
fof(f122,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f123,plain,
! [X0] :
( aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| xx != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f124,plain,
xS != sdtpldt0(sdtmndt0(xS,xx),xx),
inference(cnf_transformation,[],[f74]) ).
fof(f131,plain,
( aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f123]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f75]) ).
cnf(c_54,plain,
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_55,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,X0),X0)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_56,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_57,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f80]) ).
cnf(c_60,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f86]) ).
cnf(c_86,plain,
aSet0(xS),
inference(cnf_transformation,[],[f112]) ).
cnf(c_87,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f113]) ).
cnf(c_88,negated_conjecture,
sdtpldt0(sdtmndt0(xS,xx),xx) != xS,
inference(cnf_transformation,[],[f124]) ).
cnf(c_89,negated_conjecture,
( ~ aElement0(xx)
| aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_90,negated_conjecture,
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(cnf_transformation,[],[f122]) ).
cnf(c_91,negated_conjecture,
( ~ aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx))
| X0 = xx
| aElementOf0(X0,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f121]) ).
cnf(c_93,negated_conjecture,
aSet0(sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(cnf_transformation,[],[f119]) ).
cnf(c_94,negated_conjecture,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| X0 = xx
| aElementOf0(X0,sdtmndt0(xS,xx)) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_96,negated_conjecture,
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f116]) ).
cnf(c_97,negated_conjecture,
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElement0(X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_98,negated_conjecture,
aSet0(sdtmndt0(xS,xx)),
inference(cnf_transformation,[],[f114]) ).
cnf(c_124,negated_conjecture,
( ~ aElementOf0(X0,sdtmndt0(xS,xx))
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(global_subsumption_just,[status(thm)],[c_90,c_97,c_90]) ).
cnf(c_126,plain,
( ~ aSubsetOf0(X1,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| X0 = X1 ),
inference(global_subsumption_just,[status(thm)],[c_60,c_57,c_60]) ).
cnf(c_127,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X1)
| X0 = X1 ),
inference(renaming,[status(thm)],[c_126]) ).
cnf(c_5676,plain,
X0 = X0,
theory(equality) ).
cnf(c_5680,plain,
( X0 != X1
| X2 != X3
| ~ aElementOf0(X1,X3)
| aElementOf0(X0,X2) ),
theory(equality) ).
cnf(c_6370,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(superposition,[status(thm)],[c_87,c_49]) ).
cnf(c_6373,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[status(thm)],[c_6370,c_86]) ).
cnf(c_6613,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0) ),
inference(superposition,[status(thm)],[c_55,c_91]) ).
cnf(c_6641,plain,
( ~ aSet0(X0)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),sdtmndt0(xS,xx))
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6613,c_93]) ).
cnf(c_6664,plain,
( ~ aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1)
| ~ aSet0(X0)
| X1 = xx
| aElementOf0(X1,X0) ),
inference(superposition,[status(thm)],[c_94,c_56]) ).
cnf(c_6733,plain,
( ~ aElementOf0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_124,c_54]) ).
cnf(c_6734,plain,
( ~ aElementOf0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6733,c_93]) ).
cnf(c_6850,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_55,c_6734]) ).
cnf(c_6852,plain,
aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_6850,c_98,c_93]) ).
cnf(c_6874,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| X0 = xx
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_6852,c_6664]) ).
cnf(c_6875,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| X0 = xx
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6874,c_93]) ).
cnf(c_7367,plain,
( ~ aElementOf0(sK5(xS,X0),xS)
| ~ aSet0(X0)
| ~ aSet0(xS)
| aSubsetOf0(X0,xS) ),
inference(instantiation,[status(thm)],[c_54]) ).
cnf(c_7647,plain,
( ~ aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS)
| ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| sdtpldt0(sdtmndt0(xS,xx),xx) = xS ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_8072,plain,
( X0 != xx
| X1 != sdtpldt0(sdtmndt0(xS,xx),xx)
| ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,X1) ),
inference(instantiation,[status(thm)],[c_5680]) ).
cnf(c_8075,plain,
( X0 != X1
| X2 != xS
| ~ aElementOf0(X1,xS)
| aElementOf0(X0,X2) ),
inference(instantiation,[status(thm)],[c_5680]) ).
cnf(c_8564,plain,
( ~ aSet0(X0)
| sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aElementOf0(sK5(X0,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),X0) ),
inference(superposition,[status(thm)],[c_6641,c_96]) ).
cnf(c_8640,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElement0(sK5(X1,X0))
| aSubsetOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_55,c_49]) ).
cnf(c_8987,plain,
( ~ aSubsetOf0(sdtmndt0(xS,xx),X0)
| ~ aElementOf0(X1,xS)
| ~ aElement0(X1)
| ~ aSet0(X0)
| X1 = xx
| aElementOf0(X1,X0) ),
inference(superposition,[status(thm)],[c_94,c_56]) ).
cnf(c_9365,plain,
( ~ aElementOf0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_124,c_54]) ).
cnf(c_9366,plain,
( ~ aElementOf0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0),sdtmndt0(xS,xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9365,c_93]) ).
cnf(c_9390,plain,
( sdtpldt0(sdtmndt0(xS,xx),xx) != sdtpldt0(sdtmndt0(xS,xx),xx)
| X0 != xx
| ~ aElementOf0(xx,sdtpldt0(sdtmndt0(xS,xx),xx))
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(instantiation,[status(thm)],[c_8072]) ).
cnf(c_9391,plain,
sdtpldt0(sdtmndt0(xS,xx),xx) = sdtpldt0(sdtmndt0(xS,xx),xx),
inference(instantiation,[status(thm)],[c_5676]) ).
cnf(c_9884,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(sdtmndt0(xS,xx))
| aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_55,c_9366]) ).
cnf(c_9886,plain,
aSubsetOf0(sdtmndt0(xS,xx),sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_9884,c_98,c_93]) ).
cnf(c_10264,plain,
( X0 != X1
| xS != xS
| ~ aElementOf0(X1,xS)
| aElementOf0(X0,xS) ),
inference(instantiation,[status(thm)],[c_8075]) ).
cnf(c_10265,plain,
xS = xS,
inference(instantiation,[status(thm)],[c_5676]) ).
cnf(c_11289,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(superposition,[status(thm)],[c_8564,c_54]) ).
cnf(c_11292,plain,
( sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_11289,c_86,c_93]) ).
cnf(c_11320,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx
| sdtpldt0(sdtmndt0(xS,xx),xx) = xS ),
inference(superposition,[status(thm)],[c_11292,c_127]) ).
cnf(c_11338,plain,
( ~ aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx))
| sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) = xx ),
inference(forward_subsumption_resolution,[status(thm)],[c_11320,c_88,c_86]) ).
cnf(c_11357,plain,
( ~ aElementOf0(sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS)
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| aSubsetOf0(sdtpldt0(sdtmndt0(xS,xx),xx),xS) ),
inference(instantiation,[status(thm)],[c_7367]) ).
cnf(c_14912,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| X0 = xx
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_9886,c_8987]) ).
cnf(c_14913,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| X0 = xx
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14912,c_93]) ).
cnf(c_14918,plain,
( ~ aElement0(X0)
| ~ aElementOf0(X0,xS)
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(global_subsumption_just,[status(thm)],[c_14913,c_89,c_6373,c_6875,c_9390,c_9391]) ).
cnf(c_14919,plain,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| aElementOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(renaming,[status(thm)],[c_14918]) ).
cnf(c_14928,plain,
( ~ aElementOf0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xS)
| ~ aElement0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_14919,c_54]) ).
cnf(c_14939,plain,
( ~ aElementOf0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0),xS)
| ~ aElement0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),X0))
| ~ aSet0(X0)
| aSubsetOf0(X0,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14928,c_93]) ).
cnf(c_19059,plain,
( sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) != X0
| xS != xS
| ~ aElementOf0(X0,xS)
| aElementOf0(sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ),
inference(instantiation,[status(thm)],[c_10264]) ).
cnf(c_19060,plain,
( sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) != xx
| xS != xS
| ~ aElementOf0(xx,xS)
| aElementOf0(sK5(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),xS) ),
inference(instantiation,[status(thm)],[c_19059]) ).
cnf(c_25802,plain,
( ~ aElement0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_55,c_14939]) ).
cnf(c_25804,plain,
( ~ aElement0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),xS))
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25802,c_86,c_93]) ).
cnf(c_25807,plain,
~ aElement0(sK5(sdtpldt0(sdtmndt0(xS,xx),xx),xS)),
inference(global_subsumption_just,[status(thm)],[c_25804,c_86,c_87,c_93,c_88,c_7647,c_10265,c_11338,c_11357,c_19060,c_25804]) ).
cnf(c_25809,plain,
( ~ aSet0(sdtpldt0(sdtmndt0(xS,xx),xx))
| ~ aSet0(xS)
| aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)) ),
inference(superposition,[status(thm)],[c_8640,c_25807]) ).
cnf(c_25810,plain,
aSubsetOf0(xS,sdtpldt0(sdtmndt0(xS,xx),xx)),
inference(forward_subsumption_resolution,[status(thm)],[c_25809,c_86,c_93]) ).
cnf(c_25811,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_25810,c_19060,c_11357,c_11338,c_10265,c_7647,c_88,c_93,c_87,c_86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n017.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 : Fri Aug 25 14:38:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.58/1.68 % SZS status Started for theBenchmark.p
% 7.58/1.68 % SZS status Theorem for theBenchmark.p
% 7.58/1.68
% 7.58/1.68 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.58/1.68
% 7.58/1.68 ------ iProver source info
% 7.58/1.68
% 7.58/1.68 git: date: 2023-05-31 18:12:56 +0000
% 7.58/1.68 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.58/1.68 git: non_committed_changes: false
% 7.58/1.68 git: last_make_outside_of_git: false
% 7.58/1.68
% 7.58/1.68 ------ Parsing...
% 7.58/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.58/1.68
% 7.58/1.68 ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 7.58/1.68
% 7.58/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.58/1.68
% 7.58/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.58/1.68 ------ Proving...
% 7.58/1.68 ------ Problem Properties
% 7.58/1.68
% 7.58/1.68
% 7.58/1.68 clauses 46
% 7.58/1.68 conjectures 11
% 7.58/1.68 EPR 20
% 7.58/1.68 Horn 34
% 7.58/1.68 unary 8
% 7.58/1.68 binary 9
% 7.58/1.68 lits 134
% 7.58/1.68 lits eq 13
% 7.58/1.68 fd_pure 0
% 7.58/1.68 fd_pseudo 0
% 7.58/1.68 fd_cond 3
% 7.58/1.68 fd_pseudo_cond 5
% 7.58/1.68 AC symbols 0
% 7.58/1.68
% 7.58/1.68 ------ Schedule dynamic 5 is on
% 7.58/1.68
% 7.58/1.68 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.58/1.68
% 7.58/1.68
% 7.58/1.68 ------
% 7.58/1.68 Current options:
% 7.58/1.68 ------
% 7.58/1.68
% 7.58/1.68
% 7.58/1.68
% 7.58/1.68
% 7.58/1.68 ------ Proving...
% 7.58/1.68
% 7.58/1.68
% 7.58/1.68 % SZS status Theorem for theBenchmark.p
% 7.58/1.68
% 7.58/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.58/1.68
% 7.58/1.68
%------------------------------------------------------------------------------