TSTP Solution File: NUM534+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n007.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 : Fri May 3 02:49:47 EDT 2024
% Result : Theorem 4.00s 1.18s
% Output : CNFRefutation 4.00s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aElementOf0(X1,X0)
=> aElement0(X1) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f13,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X0)
& aSubsetOf0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubASymm) ).
fof(f17,axiom,
aSet0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__617) ).
fof(f18,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/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/sandbox/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(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(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_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_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,
sdtmndt0(xS,xx) = sP0_iProver_def,
definition ).
cnf(c_5677,plain,
sdtpldt0(sP0_iProver_def,xx) = sP1_iProver_def,
definition ).
cnf(c_5678,negated_conjecture,
( ~ aElementOf0(X0,sP0_iProver_def)
| aElementOf0(X0,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_124,c_5677,c_5676]) ).
cnf(c_5681,negated_conjecture,
( ~ aElementOf0(X0,sP0_iProver_def)
| aElementOf0(X0,xS) ),
inference(demodulation,[status(thm)],[c_96]) ).
cnf(c_5683,negated_conjecture,
( ~ aElementOf0(X0,xS)
| ~ aElement0(X0)
| X0 = xx
| aElementOf0(X0,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_94]) ).
cnf(c_5684,negated_conjecture,
aSet0(sP1_iProver_def),
inference(demodulation,[status(thm)],[c_93]) ).
cnf(c_5686,negated_conjecture,
( ~ aElementOf0(X0,sP1_iProver_def)
| X0 = xx
| aElementOf0(X0,sP0_iProver_def) ),
inference(demodulation,[status(thm)],[c_91]) ).
cnf(c_5687,negated_conjecture,
( ~ aElement0(xx)
| aElementOf0(xx,sP1_iProver_def) ),
inference(demodulation,[status(thm)],[c_89]) ).
cnf(c_5688,negated_conjecture,
sP1_iProver_def != xS,
inference(demodulation,[status(thm)],[c_88]) ).
cnf(c_6409,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(superposition,[status(thm)],[c_87,c_49]) ).
cnf(c_6411,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[status(thm)],[c_6409,c_86]) ).
cnf(c_6412,plain,
aElementOf0(xx,sP1_iProver_def),
inference(backward_subsumption_resolution,[status(thm)],[c_5687,c_6411]) ).
cnf(c_6634,plain,
( ~ aElement0(sK5(X0,xS))
| ~ aSet0(X0)
| ~ aSet0(xS)
| sK5(X0,xS) = xx
| aElementOf0(sK5(X0,xS),sP0_iProver_def)
| aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_55,c_5683]) ).
cnf(c_6638,plain,
( ~ aSet0(X0)
| ~ aSet0(sP1_iProver_def)
| sK5(X0,sP1_iProver_def) = xx
| aElementOf0(sK5(X0,sP1_iProver_def),sP0_iProver_def)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_55,c_5686]) ).
cnf(c_6663,plain,
( ~ aSet0(X0)
| sK5(X0,sP1_iProver_def) = xx
| aElementOf0(sK5(X0,sP1_iProver_def),sP0_iProver_def)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6638,c_5684]) ).
cnf(c_6668,plain,
( ~ aElement0(sK5(X0,xS))
| ~ aSet0(X0)
| sK5(X0,xS) = xx
| aElementOf0(sK5(X0,xS),sP0_iProver_def)
| aSubsetOf0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6634,c_86]) ).
cnf(c_6849,plain,
( ~ aSet0(X0)
| sK5(X0,sP1_iProver_def) = xx
| aElementOf0(sK5(X0,sP1_iProver_def),xS)
| aSubsetOf0(sP1_iProver_def,X0) ),
inference(superposition,[status(thm)],[c_6663,c_5681]) ).
cnf(c_6969,plain,
( ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| sK5(xS,sP1_iProver_def) = xx
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(superposition,[status(thm)],[c_6849,c_54]) ).
cnf(c_6979,plain,
( sK5(xS,sP1_iProver_def) = xx
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6969,c_5684,c_86]) ).
cnf(c_7457,plain,
( ~ aSet0(X0)
| ~ aSet0(xS)
| aElementOf0(sK5(X0,xS),xS)
| aSubsetOf0(xS,X0) ),
inference(instantiation,[status(thm)],[c_55]) ).
cnf(c_7569,plain,
( ~ aSubsetOf0(xS,sP1_iProver_def)
| ~ aSubsetOf0(sP1_iProver_def,xS)
| ~ aSet0(xS)
| sP1_iProver_def = xS ),
inference(instantiation,[status(thm)],[c_127]) ).
cnf(c_7810,plain,
( ~ aElement0(sK5(X0,xS))
| ~ aSet0(X0)
| sK5(X0,xS) = xx
| aElementOf0(sK5(X0,xS),xS)
| aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6668,c_5681]) ).
cnf(c_7811,plain,
( ~ aElement0(sK5(X0,xS))
| ~ aSet0(X0)
| sK5(X0,xS) = xx
| aElementOf0(sK5(X0,xS),sP1_iProver_def)
| aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_6668,c_5678]) ).
cnf(c_9665,plain,
( ~ aSet0(X0)
| aElementOf0(sK5(X0,xS),xS)
| aSubsetOf0(xS,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7810,c_86,c_7457]) ).
cnf(c_9676,plain,
( ~ aSet0(X0)
| ~ aSet0(xS)
| aElement0(sK5(X0,xS))
| aSubsetOf0(xS,X0) ),
inference(superposition,[status(thm)],[c_9665,c_49]) ).
cnf(c_9680,plain,
( ~ aSet0(X0)
| aElement0(sK5(X0,xS))
| aSubsetOf0(xS,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9676,c_86]) ).
cnf(c_9690,plain,
( ~ aSet0(X0)
| sK5(X0,xS) = xx
| aElementOf0(sK5(X0,xS),sP1_iProver_def)
| aSubsetOf0(xS,X0) ),
inference(global_subsumption_just,[status(thm)],[c_7811,c_7811,c_9680]) ).
cnf(c_9704,plain,
( ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| sK5(sP1_iProver_def,xS) = xx
| aSubsetOf0(xS,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_9690,c_54]) ).
cnf(c_9707,plain,
( sK5(sP1_iProver_def,xS) = xx
| aSubsetOf0(xS,sP1_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9704,c_5684,c_86]) ).
cnf(c_9745,plain,
( ~ aSubsetOf0(sP1_iProver_def,xS)
| ~ aSet0(sP1_iProver_def)
| sK5(sP1_iProver_def,xS) = xx
| xS = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9707,c_127]) ).
cnf(c_9748,plain,
( ~ aSubsetOf0(sP1_iProver_def,xS)
| sK5(sP1_iProver_def,xS) = xx
| xS = sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_9745,c_5684]) ).
cnf(c_9752,plain,
( sK5(sP1_iProver_def,xS) = xx
| ~ aSubsetOf0(sP1_iProver_def,xS) ),
inference(global_subsumption_just,[status(thm)],[c_9748,c_86,c_5688,c_7569,c_9707]) ).
cnf(c_9753,plain,
( ~ aSubsetOf0(sP1_iProver_def,xS)
| sK5(sP1_iProver_def,xS) = xx ),
inference(renaming,[status(thm)],[c_9752]) ).
cnf(c_9758,plain,
( sK5(xS,sP1_iProver_def) = xx
| sK5(sP1_iProver_def,xS) = xx ),
inference(superposition,[status(thm)],[c_6979,c_9753]) ).
cnf(c_9767,plain,
( ~ aElementOf0(xx,xS)
| ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| sK5(sP1_iProver_def,xS) = xx
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(superposition,[status(thm)],[c_9758,c_54]) ).
cnf(c_9772,plain,
( sK5(sP1_iProver_def,xS) = xx
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_9767,c_5684,c_86,c_87]) ).
cnf(c_9784,plain,
sK5(sP1_iProver_def,xS) = xx,
inference(global_subsumption_just,[status(thm)],[c_9772,c_9753,c_9772]) ).
cnf(c_9790,plain,
( ~ aElementOf0(xx,sP1_iProver_def)
| ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| aSubsetOf0(xS,sP1_iProver_def) ),
inference(superposition,[status(thm)],[c_9784,c_54]) ).
cnf(c_9794,plain,
aSubsetOf0(xS,sP1_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_9790,c_5684,c_86,c_6412]) ).
cnf(c_9795,plain,
( ~ aSubsetOf0(sP1_iProver_def,xS)
| ~ aSet0(sP1_iProver_def)
| xS = sP1_iProver_def ),
inference(superposition,[status(thm)],[c_9794,c_127]) ).
cnf(c_9798,plain,
( ~ aSubsetOf0(sP1_iProver_def,xS)
| xS = sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_9795,c_5684]) ).
cnf(c_9810,plain,
~ aSubsetOf0(sP1_iProver_def,xS),
inference(global_subsumption_just,[status(thm)],[c_9798,c_86,c_5688,c_7569,c_9794]) ).
cnf(c_9812,plain,
sK5(xS,sP1_iProver_def) = xx,
inference(backward_subsumption_resolution,[status(thm)],[c_6979,c_9810]) ).
cnf(c_9815,plain,
( ~ aElementOf0(xx,xS)
| ~ aSet0(xS)
| ~ aSet0(sP1_iProver_def)
| aSubsetOf0(sP1_iProver_def,xS) ),
inference(superposition,[status(thm)],[c_9812,c_54]) ).
cnf(c_9820,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9815,c_9810,c_5684,c_86,c_87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUM534+2 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n007.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 2 19:33:20 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 4.00/1.18 % SZS status Started for theBenchmark.p
% 4.00/1.18 % SZS status Theorem for theBenchmark.p
% 4.00/1.18
% 4.00/1.18 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 4.00/1.18
% 4.00/1.18 ------ iProver source info
% 4.00/1.18
% 4.00/1.18 git: date: 2024-05-02 19:28:25 +0000
% 4.00/1.18 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 4.00/1.18 git: non_committed_changes: false
% 4.00/1.18
% 4.00/1.18 ------ Parsing...
% 4.00/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 4.00/1.18
% 4.00/1.18 ------ 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
% 4.00/1.18
% 4.00/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 4.00/1.18
% 4.00/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 4.00/1.18 ------ Proving...
% 4.00/1.18 ------ Problem Properties
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18 clauses 48
% 4.00/1.18 conjectures 11
% 4.00/1.18 EPR 31
% 4.00/1.18 Horn 36
% 4.00/1.18 unary 10
% 4.00/1.18 binary 9
% 4.00/1.18 lits 136
% 4.00/1.18 lits eq 15
% 4.00/1.18 fd_pure 0
% 4.00/1.18 fd_pseudo 0
% 4.00/1.18 fd_cond 3
% 4.00/1.18 fd_pseudo_cond 5
% 4.00/1.18 AC symbols 0
% 4.00/1.18
% 4.00/1.18 ------ Schedule dynamic 5 is on
% 4.00/1.18
% 4.00/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18 ------
% 4.00/1.18 Current options:
% 4.00/1.18 ------
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18 ------ Proving...
% 4.00/1.18
% 4.00/1.18
% 4.00/1.18 % SZS status Theorem for theBenchmark.p
% 4.00/1.18
% 4.00/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.00/1.18
% 4.00/1.18
%------------------------------------------------------------------------------