TSTP Solution File: NUM556+3 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 02:49:55 EDT 2024
% Result : Theorem 10.13s 2.14s
% Output : CNFRefutation 10.13s
% 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(f18,axiom,
! [X0,X1] :
( ( aSet0(X1)
& aElement0(X0) )
=> ( ~ aElementOf0(X0,X1)
=> sdtmndt0(sdtpldt0(X1,X0),X0) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDiffCons) ).
fof(f21,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtpldt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFConsSet) ).
fof(f22,axiom,
! [X0] :
( aElement0(X0)
=> ! [X1] :
( ( isFinite0(X1)
& aSet0(X1) )
=> isFinite0(sdtmndt0(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).
fof(f44,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( ( aElementOf0(X1,X0)
& isFinite0(X0) )
=> sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
fof(f62,axiom,
( sz00 != xk
& aSet0(xT)
& aSet0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
fof(f64,axiom,
aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2256) ).
fof(f65,axiom,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xQ)
=> aElementOf0(X0,xS) )
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
fof(f66,axiom,
( xk = sbrdtbr0(xQ)
& isFinite0(xQ)
& aSet0(xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
fof(f67,axiom,
( aElementOf0(xy,xQ)
& aElement0(xy) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).
fof(f70,axiom,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).
fof(f71,axiom,
( ! [X0] :
( aElementOf0(X0,sdtmndt0(xQ,xy))
<=> ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2411) ).
fof(f72,conjecture,
( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f73,negated_conjecture,
~ ( xk = sbrdtbr0(xP)
& ( aSubsetOf0(xP,xS)
| ! [X0] :
( aElementOf0(X0,xP)
=> aElementOf0(X0,xS) ) ) ),
inference(negated_conjecture,[],[f72]) ).
fof(f81,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( aElementOf0(X0,xP)
<=> ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) ) )
& aSet0(xP)
& ! [X1] :
( aElementOf0(X1,sdtmndt0(xQ,xy))
<=> ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(rectify,[],[f70]) ).
fof(f83,plain,
! [X0] :
( ! [X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f102,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f103,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(flattening,[],[f102]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f108]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f111,plain,
! [X0] :
( ! [X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1) )
| ~ aElement0(X0) ),
inference(flattening,[],[f110]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0) )
| ~ aSet0(X0) ),
inference(flattening,[],[f135]) ).
fof(f166,plain,
( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
& xk = sbrdtbr0(xQ)
& aSubsetOf0(xQ,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) )
& aSet0(xQ) ),
inference(ennf_transformation,[],[f65]) ).
fof(f167,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) ) ) ),
inference(ennf_transformation,[],[f73]) ).
fof(f234,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f81]) ).
fof(f235,plain,
( xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
& ! [X0] :
( ( aElementOf0(X0,xP)
| ( xx != X0
& ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
| ~ aElement0(X0) )
& ( ( ( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy)) )
& aElement0(X0) )
| ~ aElementOf0(X0,xP) ) )
& aSet0(xP)
& ! [X1] :
( ( aElementOf0(X1,sdtmndt0(xQ,xy))
| xy = X1
| ~ aElementOf0(X1,xQ)
| ~ aElement0(X1) )
& ( ( xy != X1
& aElementOf0(X1,xQ)
& aElement0(X1) )
| ~ aElementOf0(X1,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f234]) ).
fof(f236,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(nnf_transformation,[],[f71]) ).
fof(f237,plain,
( ! [X0] :
( ( aElementOf0(X0,sdtmndt0(xQ,xy))
| xy = X0
| ~ aElementOf0(X0,xQ)
| ~ aElement0(X0) )
& ( ( xy != X0
& aElementOf0(X0,xQ)
& aElement0(X0) )
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
& aSet0(sdtmndt0(xQ,xy))
& ~ aElementOf0(xx,sdtmndt0(xQ,xy)) ),
inference(flattening,[],[f236]) ).
fof(f238,plain,
( ? [X0] :
( ~ aElementOf0(X0,xS)
& aElementOf0(X0,xP) )
=> ( ~ aElementOf0(sK19,xS)
& aElementOf0(sK19,xP) ) ),
introduced(choice_axiom,[]) ).
fof(f239,plain,
( xk != sbrdtbr0(xP)
| ( ~ aSubsetOf0(xP,xS)
& ~ aElementOf0(sK19,xS)
& aElementOf0(sK19,xP) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f167,f238]) ).
fof(f240,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f83]) ).
fof(f280,plain,
! [X0,X1] :
( sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f283,plain,
! [X0,X1] :
( isFinite0(sdtpldt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f284,plain,
! [X0,X1] :
( isFinite0(sdtmndt0(X1,X0))
| ~ isFinite0(X1)
| ~ aSet0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f309,plain,
! [X0,X1] :
( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
| ~ aElementOf0(X1,X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f136]) ).
fof(f350,plain,
aSet0(xS),
inference(cnf_transformation,[],[f62]) ).
fof(f380,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f64]) ).
fof(f382,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f166]) ).
fof(f384,plain,
xk = sbrdtbr0(xQ),
inference(cnf_transformation,[],[f166]) ).
fof(f386,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f387,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f66]) ).
fof(f389,plain,
aElement0(xy),
inference(cnf_transformation,[],[f67]) ).
fof(f390,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f67]) ).
fof(f398,plain,
aSet0(xP),
inference(cnf_transformation,[],[f235]) ).
fof(f400,plain,
! [X0] :
( xx = X0
| aElementOf0(X0,sdtmndt0(xQ,xy))
| ~ aElementOf0(X0,xP) ),
inference(cnf_transformation,[],[f235]) ).
fof(f402,plain,
! [X0] :
( aElementOf0(X0,xP)
| xx != X0
| ~ aElement0(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f403,plain,
xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
inference(cnf_transformation,[],[f235]) ).
fof(f404,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f237]) ).
fof(f405,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f237]) ).
fof(f407,plain,
! [X0] :
( aElementOf0(X0,xQ)
| ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f237]) ).
fof(f410,plain,
( xk != sbrdtbr0(xP)
| aElementOf0(sK19,xP) ),
inference(cnf_transformation,[],[f239]) ).
fof(f411,plain,
( xk != sbrdtbr0(xP)
| ~ aElementOf0(sK19,xS) ),
inference(cnf_transformation,[],[f239]) ).
fof(f435,plain,
( aElementOf0(xx,xP)
| ~ aElement0(xx) ),
inference(equality_resolution,[],[f402]) ).
cnf(c_49,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| aElement0(X0) ),
inference(cnf_transformation,[],[f240]) ).
cnf(c_89,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| sdtmndt0(sdtpldt0(X1,X0),X0) = X1
| aElementOf0(X0,X1) ),
inference(cnf_transformation,[],[f280]) ).
cnf(c_92,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| isFinite0(sdtpldt0(X1,X0)) ),
inference(cnf_transformation,[],[f283]) ).
cnf(c_93,plain,
( ~ aElement0(X0)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| isFinite0(sdtmndt0(X1,X0)) ),
inference(cnf_transformation,[],[f284]) ).
cnf(c_118,plain,
( ~ aElementOf0(X0,X1)
| ~ aSet0(X1)
| ~ isFinite0(X1)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X1,X0))) = sbrdtbr0(X1) ),
inference(cnf_transformation,[],[f309]) ).
cnf(c_161,plain,
aSet0(xS),
inference(cnf_transformation,[],[f350]) ).
cnf(c_189,plain,
aElementOf0(xx,xS),
inference(cnf_transformation,[],[f380]) ).
cnf(c_191,plain,
sbrdtbr0(xQ) = xk,
inference(cnf_transformation,[],[f384]) ).
cnf(c_193,plain,
( ~ aElementOf0(X0,xQ)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f382]) ).
cnf(c_196,plain,
isFinite0(xQ),
inference(cnf_transformation,[],[f387]) ).
cnf(c_197,plain,
aSet0(xQ),
inference(cnf_transformation,[],[f386]) ).
cnf(c_198,plain,
aElementOf0(xy,xQ),
inference(cnf_transformation,[],[f390]) ).
cnf(c_199,plain,
aElement0(xy),
inference(cnf_transformation,[],[f389]) ).
cnf(c_202,plain,
sdtpldt0(sdtmndt0(xQ,xy),xx) = xP,
inference(cnf_transformation,[],[f403]) ).
cnf(c_203,plain,
( ~ aElement0(xx)
| aElementOf0(xx,xP) ),
inference(cnf_transformation,[],[f435]) ).
cnf(c_205,plain,
( ~ aElementOf0(X0,xP)
| X0 = xx
| aElementOf0(X0,sdtmndt0(xQ,xy)) ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_207,plain,
aSet0(xP),
inference(cnf_transformation,[],[f398]) ).
cnf(c_215,plain,
( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
| aElementOf0(X0,xQ) ),
inference(cnf_transformation,[],[f407]) ).
cnf(c_217,plain,
aSet0(sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f405]) ).
cnf(c_218,plain,
~ aElementOf0(xx,sdtmndt0(xQ,xy)),
inference(cnf_transformation,[],[f404]) ).
cnf(c_220,negated_conjecture,
( sbrdtbr0(xP) != xk
| ~ aElementOf0(sK19,xS) ),
inference(cnf_transformation,[],[f411]) ).
cnf(c_221,negated_conjecture,
( sbrdtbr0(xP) != xk
| aElementOf0(sK19,xP) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_11305,plain,
sbrdtbr0(xP) = sP0_iProver_def,
definition ).
cnf(c_11306,negated_conjecture,
( sP0_iProver_def != xk
| aElementOf0(sK19,xP) ),
inference(demodulation,[status(thm)],[c_221,c_11305]) ).
cnf(c_11307,negated_conjecture,
( sP0_iProver_def != xk
| ~ aElementOf0(sK19,xS) ),
inference(demodulation,[status(thm)],[c_220]) ).
cnf(c_13568,plain,
( ~ aSet0(xS)
| aElement0(xx) ),
inference(superposition,[status(thm)],[c_189,c_49]) ).
cnf(c_13573,plain,
aElement0(xx),
inference(forward_subsumption_resolution,[status(thm)],[c_13568,c_161]) ).
cnf(c_13583,plain,
aElementOf0(xx,xP),
inference(backward_subsumption_resolution,[status(thm)],[c_203,c_13573]) ).
cnf(c_14750,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| ~ isFinite0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| isFinite0(xP) ),
inference(superposition,[status(thm)],[c_202,c_92]) ).
cnf(c_14751,plain,
( ~ isFinite0(sdtmndt0(xQ,xy))
| isFinite0(xP) ),
inference(forward_subsumption_resolution,[status(thm)],[c_14750,c_13573,c_217]) ).
cnf(c_14769,plain,
( ~ aElement0(xy)
| ~ aSet0(xQ)
| ~ isFinite0(xQ)
| isFinite0(xP) ),
inference(superposition,[status(thm)],[c_93,c_14751]) ).
cnf(c_14770,plain,
isFinite0(xP),
inference(forward_subsumption_resolution,[status(thm)],[c_14769,c_196,c_197,c_199]) ).
cnf(c_15117,plain,
( ~ aElementOf0(X0,xP)
| X0 = xx
| aElementOf0(X0,xQ) ),
inference(superposition,[status(thm)],[c_205,c_215]) ).
cnf(c_17244,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| sdtmndt0(sdtpldt0(sdtmndt0(xQ,xy),xx),xx) = sdtmndt0(xQ,xy) ),
inference(superposition,[status(thm)],[c_89,c_218]) ).
cnf(c_17293,plain,
( ~ aSet0(sdtmndt0(xQ,xy))
| ~ aElement0(xx)
| sdtmndt0(xQ,xy) = sdtmndt0(xP,xx) ),
inference(light_normalisation,[status(thm)],[c_17244,c_202]) ).
cnf(c_17294,plain,
sdtmndt0(xQ,xy) = sdtmndt0(xP,xx),
inference(forward_subsumption_resolution,[status(thm)],[c_17293,c_13573,c_217]) ).
cnf(c_19816,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sbrdtbr0(xQ) ),
inference(superposition,[status(thm)],[c_198,c_118]) ).
cnf(c_19817,plain,
( ~ aSet0(xP)
| ~ isFinite0(xP)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(xP,xx))) = sbrdtbr0(xP) ),
inference(superposition,[status(thm)],[c_13583,c_118]) ).
cnf(c_19841,plain,
( ~ aSet0(xP)
| ~ isFinite0(xP)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sP0_iProver_def ),
inference(light_normalisation,[status(thm)],[c_19817,c_11305,c_17294]) ).
cnf(c_19842,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_19841,c_14770,c_207]) ).
cnf(c_19843,plain,
( ~ aSet0(xQ)
| ~ isFinite0(xQ)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk ),
inference(light_normalisation,[status(thm)],[c_19816,c_191]) ).
cnf(c_19844,plain,
szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) = xk,
inference(forward_subsumption_resolution,[status(thm)],[c_19843,c_196,c_197]) ).
cnf(c_20359,plain,
xk = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_19844,c_19842]) ).
cnf(c_20453,plain,
( sP0_iProver_def != sP0_iProver_def
| ~ aElementOf0(sK19,xS) ),
inference(demodulation,[status(thm)],[c_11307,c_20359]) ).
cnf(c_20454,plain,
( sP0_iProver_def != sP0_iProver_def
| aElementOf0(sK19,xP) ),
inference(demodulation,[status(thm)],[c_11306,c_20359]) ).
cnf(c_20457,plain,
aElementOf0(sK19,xP),
inference(equality_resolution_simp,[status(thm)],[c_20454]) ).
cnf(c_20472,plain,
~ aElementOf0(sK19,xS),
inference(equality_resolution_simp,[status(thm)],[c_20453]) ).
cnf(c_32383,plain,
( ~ aElementOf0(sK19,xQ)
| aElementOf0(sK19,xS) ),
inference(instantiation,[status(thm)],[c_193]) ).
cnf(c_32649,plain,
( xx = sK19
| aElementOf0(sK19,xQ) ),
inference(superposition,[status(thm)],[c_20457,c_15117]) ).
cnf(c_32871,plain,
xx = sK19,
inference(global_subsumption_just,[status(thm)],[c_32649,c_20472,c_32383,c_32649]) ).
cnf(c_32947,plain,
~ aElementOf0(xx,xS),
inference(demodulation,[status(thm)],[c_20472,c_32871]) ).
cnf(c_32949,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_32947,c_189]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM556+3 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 2 19:20:33 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.45 Running first-order theorem proving
% 0.18/0.45 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
% 10.13/2.14 % SZS status Started for theBenchmark.p
% 10.13/2.14 % SZS status Theorem for theBenchmark.p
% 10.13/2.14
% 10.13/2.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.13/2.14
% 10.13/2.14 ------ iProver source info
% 10.13/2.14
% 10.13/2.14 git: date: 2024-05-02 19:28:25 +0000
% 10.13/2.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.13/2.14 git: non_committed_changes: false
% 10.13/2.14
% 10.13/2.14 ------ Parsing...
% 10.13/2.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.13/2.14
% 10.13/2.14 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 10.13/2.14
% 10.13/2.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.13/2.14
% 10.13/2.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.13/2.14 ------ Proving...
% 10.13/2.14 ------ Problem Properties
% 10.13/2.14
% 10.13/2.14
% 10.13/2.14 clauses 159
% 10.13/2.14 conjectures 3
% 10.13/2.14 EPR 47
% 10.13/2.14 Horn 124
% 10.13/2.14 unary 33
% 10.13/2.14 binary 32
% 10.13/2.14 lits 476
% 10.13/2.14 lits eq 75
% 10.13/2.14 fd_pure 0
% 10.13/2.14 fd_pseudo 0
% 10.13/2.14 fd_cond 11
% 10.13/2.14 fd_pseudo_cond 18
% 10.13/2.14 AC symbols 0
% 10.13/2.14
% 10.13/2.14 ------ Schedule dynamic 5 is on
% 10.13/2.14
% 10.13/2.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.13/2.14
% 10.13/2.14
% 10.13/2.14 ------
% 10.13/2.14 Current options:
% 10.13/2.14 ------
% 10.13/2.14
% 10.13/2.14
% 10.13/2.14
% 10.13/2.14
% 10.13/2.14 ------ Proving...
% 10.13/2.14
% 10.13/2.14
% 10.13/2.14 % SZS status Theorem for theBenchmark.p
% 10.13/2.14
% 10.13/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.13/2.15
% 10.13/2.15
%------------------------------------------------------------------------------