TSTP Solution File: NUM471+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n009.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 11:30:43 EDT 2023
% Result : Theorem 105.38s 14.79s
% Output : CNFRefutation 105.38s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f182)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f31,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( doDivides0(X0,X1)
& sz00 != X0 )
=> ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
sz00 != xl,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1379) ).
fof(f39,conjecture,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f40,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(negated_conjecture,[],[f39]) ).
fof(f43,plain,
~ sdtlseqdt0(xp,xq),
inference(flattening,[],[f40]) ).
fof(f45,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f45]) ).
fof(f49,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f50,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f49]) ).
fof(f54,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f55,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f54]) ).
fof(f64,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f65,plain,
! [X0] :
( ! [X1,X2] :
( X1 = X2
| ( sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1) )
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f64]) ).
fof(f70,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f71,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f70]) ).
fof(f75,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f75]) ).
fof(f79,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f80,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f79]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f84,plain,
! [X0,X1,X2] :
( ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) )
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f83]) ).
fof(f91,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f92,plain,
! [X0,X1] :
( ! [X2] :
( sdtsldt0(X1,X0) = X2
<=> ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f97,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f71]) ).
fof(f98,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(rectify,[],[f97]) ).
fof(f99,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f98,f99]) ).
fof(f107,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f92]) ).
fof(f108,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtsldt0(X1,X0) = X2
| sdtasdt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtasdt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtsldt0(X1,X0) != X2 ) )
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f107]) ).
fof(f112,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f46]) ).
fof(f114,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f50]) ).
fof(f118,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f129,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f134,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f135,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f140,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f76]) ).
fof(f143,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f151,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f84]) ).
fof(f158,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f159,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f163,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f164,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f165,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f166,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f167,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f168,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f169,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f170,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f171,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f43]) ).
fof(f172,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f135]) ).
fof(f180,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f159]) ).
fof(f181,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f158]) ).
cnf(c_52,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_54,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f114]) ).
cnf(c_58,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_68,plain,
( sdtasdt0(X0,X1) != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X2
| X1 = sz00 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_73,plain,
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f172]) ).
cnf(c_74,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f140]) ).
cnf(c_82,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f143]) ).
cnf(c_83,plain,
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_88,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X1
| X2 = sz00
| sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f151]) ).
cnf(c_98,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| X0 = sz00 ),
inference(cnf_transformation,[],[f180]) ).
cnf(c_99,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = sz00
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(cnf_transformation,[],[f181]) ).
cnf(c_102,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f165]) ).
cnf(c_103,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f164]) ).
cnf(c_104,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f163]) ).
cnf(c_105,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f167]) ).
cnf(c_106,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f166]) ).
cnf(c_107,plain,
sz00 != xl,
inference(cnf_transformation,[],[f168]) ).
cnf(c_108,plain,
sdtsldt0(xm,xl) = xp,
inference(cnf_transformation,[],[f169]) ).
cnf(c_109,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnf_transformation,[],[f170]) ).
cnf(c_110,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f171]) ).
cnf(c_147,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_52,c_73]) ).
cnf(c_1708,plain,
X0 = X0,
theory(equality) ).
cnf(c_1714,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_2831,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_110]) ).
cnf(c_2845,plain,
( xp != X0
| xq != X1
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_1714]) ).
cnf(c_2857,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(superposition,[status(thm)],[c_102,c_54]) ).
cnf(c_3140,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sK0(xq,xp)) = xp ),
inference(superposition,[status(thm)],[c_2831,c_74]) ).
cnf(c_3863,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sz00 = xl
| aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_108,c_99]) ).
cnf(c_3864,plain,
( ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sz00 = xl
| aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_109,c_99]) ).
cnf(c_3875,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_3863,c_107,c_104,c_103,c_106]) ).
cnf(c_3876,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3864,c_107,c_104,c_105]) ).
cnf(c_6098,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtpldt0(xm,xn)
| sz00 = xl ),
inference(superposition,[status(thm)],[c_105,c_98]) ).
cnf(c_6141,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| sz00 = xl ),
inference(light_normalisation,[status(thm)],[c_6098,c_109]) ).
cnf(c_6142,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6141,c_107,c_104]) ).
cnf(c_6855,plain,
( xp != X0
| xq != xq
| ~ sdtlseqdt0(X0,xq)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_2845]) ).
cnf(c_6856,plain,
xq = xq,
inference(instantiation,[status(thm)],[c_1708]) ).
cnf(c_8476,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_52,c_3876]) ).
cnf(c_8477,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[status(thm)],[c_8476,c_103,c_102]) ).
cnf(c_10017,plain,
( xp != xq
| xq != xq
| ~ sdtlseqdt0(xq,xq)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_6855]) ).
cnf(c_10018,plain,
( ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xq) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_31516,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(superposition,[status(thm)],[c_102,c_54]) ).
cnf(c_31674,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_103,c_31516]) ).
cnf(c_34747,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_103,c_2857]) ).
cnf(c_34826,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_34747,c_52]) ).
cnf(c_34834,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_34826,c_103,c_102]) ).
cnf(c_36182,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtpldt0(xm,xn)
| sz00 = xl ),
inference(superposition,[status(thm)],[c_105,c_98]) ).
cnf(c_36207,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| sz00 = xl ),
inference(light_normalisation,[status(thm)],[c_36182,c_109]) ).
cnf(c_36208,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36207,c_107,c_104]) ).
cnf(c_123229,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_31674,c_52]) ).
cnf(c_123237,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_123229,c_103,c_102]) ).
cnf(c_169662,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(global_subsumption_just,[status(thm)],[c_36208,c_6142,c_34834]) ).
cnf(c_169668,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_123237,c_169662]) ).
cnf(c_169676,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_169662,c_147]) ).
cnf(c_169685,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_169676,c_103,c_102]) ).
cnf(c_178243,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| sdtasdt0(xl,xq) = xm ),
inference(superposition,[status(thm)],[c_169685,c_80]) ).
cnf(c_178255,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| sdtasdt0(xl,xq) = xm ),
inference(forward_subsumption_resolution,[status(thm)],[c_178243,c_103,c_169668]) ).
cnf(c_314177,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_110]) ).
cnf(c_314279,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xl) = sdtasdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_104,c_58]) ).
cnf(c_314477,plain,
sdtlseqdt0(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_314177,c_2831,c_3875,c_8477]) ).
cnf(c_314621,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sK0(xq,xp)) = xp ),
inference(superposition,[status(thm)],[c_314477,c_74]) ).
cnf(c_315041,plain,
sdtpldt0(xq,sK0(xq,xp)) = xp,
inference(global_subsumption_just,[status(thm)],[c_314621,c_3140,c_3875,c_8477]) ).
cnf(c_315044,plain,
( ~ aNaturalNumber0(sK0(xq,xp))
| ~ aNaturalNumber0(xq)
| aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_315041,c_52]) ).
cnf(c_315062,plain,
aNaturalNumber0(xp),
inference(global_subsumption_just,[status(thm)],[c_315044,c_3875]) ).
cnf(c_315065,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_315062,c_58]) ).
cnf(c_316223,plain,
( ~ doDivides0(xl,sdtpldt0(xm,xn))
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sz00 = xl
| aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_109,c_99]) ).
cnf(c_316234,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_316223,c_107,c_104,c_105]) ).
cnf(c_316683,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_104,c_315065]) ).
cnf(c_317337,plain,
aNaturalNumber0(xq),
inference(global_subsumption_just,[status(thm)],[c_316234,c_8477]) ).
cnf(c_318361,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,sdtsldt0(xm,xl)) = xm
| sz00 = xl ),
inference(superposition,[status(thm)],[c_106,c_98]) ).
cnf(c_318399,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,xp) = xm
| sz00 = xl ),
inference(light_normalisation,[status(thm)],[c_318361,c_108]) ).
cnf(c_318400,plain,
sdtasdt0(xl,xp) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_318399,c_107,c_104,c_103]) ).
cnf(c_327909,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_316683,c_318400]) ).
cnf(c_327916,plain,
( ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| X0 = xp
| sz00 = xl
| sdtlseqdt0(sdtasdt0(X0,xl),xm) ),
inference(superposition,[status(thm)],[c_327909,c_88]) ).
cnf(c_327921,plain,
( sdtasdt0(X0,xl) != xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| X0 = xp
| sz00 = xl ),
inference(superposition,[status(thm)],[c_327909,c_68]) ).
cnf(c_327928,plain,
( sdtasdt0(X0,xl) != xm
| ~ aNaturalNumber0(X0)
| X0 = xp ),
inference(forward_subsumption_resolution,[status(thm)],[c_327921,c_107,c_315062,c_104]) ).
cnf(c_327953,plain,
( ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| X0 = xp
| sdtlseqdt0(sdtasdt0(X0,xl),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_327916,c_107,c_315062,c_104]) ).
cnf(c_415670,plain,
sdtasdt0(xl,xq) = sdtasdt0(xq,xl),
inference(superposition,[status(thm)],[c_317337,c_314279]) ).
cnf(c_417483,plain,
( ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| xp = xq
| sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(superposition,[status(thm)],[c_415670,c_327953]) ).
cnf(c_417485,plain,
( sdtasdt0(xl,xq) != xm
| ~ aNaturalNumber0(xq)
| xp = xq ),
inference(superposition,[status(thm)],[c_415670,c_327928]) ).
cnf(c_417489,plain,
( sdtasdt0(xl,xq) != xm
| xp = xq ),
inference(forward_subsumption_resolution,[status(thm)],[c_417485,c_317337]) ).
cnf(c_417493,plain,
( xp = xq
| sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_417483,c_317337,c_314477]) ).
cnf(c_417536,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_417489,c_417493,c_178255,c_10018,c_10017,c_8477,c_6856,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 10:15:06 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.46 Running first-order theorem proving
% 0.19/0.46 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 105.38/14.79 % SZS status Started for theBenchmark.p
% 105.38/14.79 % SZS status Theorem for theBenchmark.p
% 105.38/14.79
% 105.38/14.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 105.38/14.79
% 105.38/14.79 ------ iProver source info
% 105.38/14.79
% 105.38/14.79 git: date: 2023-05-31 18:12:56 +0000
% 105.38/14.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 105.38/14.79 git: non_committed_changes: false
% 105.38/14.79 git: last_make_outside_of_git: false
% 105.38/14.79
% 105.38/14.79 ------ Parsing...
% 105.38/14.79 ------ Clausification by vclausify_rel & Parsing by iProver...
% 105.38/14.79
% 105.38/14.79 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e
% 105.38/14.79
% 105.38/14.79 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 105.38/14.79
% 105.38/14.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 105.38/14.79 ------ Proving...
% 105.38/14.79 ------ Problem Properties
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79 clauses 57
% 105.38/14.79 conjectures 1
% 105.38/14.79 EPR 15
% 105.38/14.79 Horn 44
% 105.38/14.79 unary 12
% 105.38/14.79 binary 7
% 105.38/14.79 lits 197
% 105.38/14.79 lits eq 52
% 105.38/14.79 fd_pure 0
% 105.38/14.79 fd_pseudo 0
% 105.38/14.79 fd_cond 6
% 105.38/14.79 fd_pseudo_cond 9
% 105.38/14.79 AC symbols 0
% 105.38/14.79
% 105.38/14.79 ------ Schedule dynamic 5 is on
% 105.38/14.79
% 105.38/14.79 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79 ------
% 105.38/14.79 Current options:
% 105.38/14.79 ------
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79 ------ Proving...
% 105.38/14.79 Proof_search_loop: time out after: 6581 full_loop iterations
% 105.38/14.79
% 105.38/14.79 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79 ------
% 105.38/14.79 Current options:
% 105.38/14.79 ------
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79 ------ Proving...
% 105.38/14.79
% 105.38/14.79
% 105.38/14.79 % SZS status Theorem for theBenchmark.p
% 105.38/14.79
% 105.38/14.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 105.38/14.79
% 105.38/14.81
%------------------------------------------------------------------------------