TSTP Solution File: NUM471+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n014.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 02:49:26 EDT 2024
% Result : Theorem 98.34s 14.19s
% Output : CNFRefutation 98.34s
% 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/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f6,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
fof(f34,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
fof(f35,axiom,
( doDivides0(xl,sdtpldt0(xm,xn))
& doDivides0(xl,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
fof(f36,axiom,
sz00 != xl,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
fof(f37,axiom,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
fof(f38,axiom,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
fof(f39,conjecture,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/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,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(demodulation,[status(thm)],[c_110]) ).
cnf(c_1709,plain,
X0 = X0,
theory(equality) ).
cnf(c_1715,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_2832,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_1708]) ).
cnf(c_2846,plain,
( xp != X0
| xq != X1
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_1715]) ).
cnf(c_2858,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(superposition,[status(thm)],[c_102,c_54]) ).
cnf(c_3141,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sK0(xq,xp)) = xp ),
inference(superposition,[status(thm)],[c_2832,c_74]) ).
cnf(c_3864,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sz00 = xl
| aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_108,c_99]) ).
cnf(c_3865,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_3876,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_3864,c_107,c_104,c_103,c_106]) ).
cnf(c_3877,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3865,c_107,c_104,c_105]) ).
cnf(c_6099,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_6142,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| sz00 = xl ),
inference(light_normalisation,[status(thm)],[c_6099,c_109]) ).
cnf(c_6143,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6142,c_107,c_104]) ).
cnf(c_6856,plain,
( xp != X0
| xq != xq
| ~ sdtlseqdt0(X0,xq)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_2846]) ).
cnf(c_6857,plain,
xq = xq,
inference(instantiation,[status(thm)],[c_1709]) ).
cnf(c_8477,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(xq) ),
inference(superposition,[status(thm)],[c_52,c_3877]) ).
cnf(c_8478,plain,
aNaturalNumber0(xq),
inference(forward_subsumption_resolution,[status(thm)],[c_8477,c_103,c_102]) ).
cnf(c_10018,plain,
( xp != xq
| xq != xq
| ~ sdtlseqdt0(xq,xq)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_6856]) ).
cnf(c_10019,plain,
( ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xq) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_31517,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(superposition,[status(thm)],[c_102,c_54]) ).
cnf(c_31675,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_103,c_31517]) ).
cnf(c_34748,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_103,c_2858]) ).
cnf(c_34795,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_34748,c_52]) ).
cnf(c_34803,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_34795,c_103,c_102]) ).
cnf(c_36336,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_36361,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xl)
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq)
| sz00 = xl ),
inference(light_normalisation,[status(thm)],[c_36336,c_109]) ).
cnf(c_36362,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = sdtasdt0(xl,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_36361,c_107,c_104]) ).
cnf(c_140557,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_31675,c_52]) ).
cnf(c_140565,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_140557,c_103,c_102]) ).
cnf(c_196365,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(global_subsumption_just,[status(thm)],[c_36362,c_6143,c_34803]) ).
cnf(c_196371,plain,
aNaturalNumber0(sdtasdt0(xl,xq)),
inference(demodulation,[status(thm)],[c_140565,c_196365]) ).
cnf(c_196379,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sdtlseqdt0(xm,sdtasdt0(xl,xq)) ),
inference(superposition,[status(thm)],[c_196365,c_147]) ).
cnf(c_196388,plain,
sdtlseqdt0(xm,sdtasdt0(xl,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_196379,c_103,c_102]) ).
cnf(c_206921,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| ~ aNaturalNumber0(sdtasdt0(xl,xq))
| ~ aNaturalNumber0(xm)
| sdtasdt0(xl,xq) = xm ),
inference(superposition,[status(thm)],[c_196388,c_80]) ).
cnf(c_206933,plain,
( ~ sdtlseqdt0(sdtasdt0(xl,xq),xm)
| sdtasdt0(xl,xq) = xm ),
inference(forward_subsumption_resolution,[status(thm)],[c_206921,c_103,c_196371]) ).
cnf(c_219079,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_1708]) ).
cnf(c_219137,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xl) = sdtasdt0(xl,X0) ),
inference(superposition,[status(thm)],[c_104,c_58]) ).
cnf(c_219228,plain,
sdtlseqdt0(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_219079,c_2832,c_3876,c_8478]) ).
cnf(c_219230,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sK0(xq,xp)) = xp ),
inference(superposition,[status(thm)],[c_219228,c_74]) ).
cnf(c_219234,plain,
sdtpldt0(xq,sK0(xq,xp)) = xp,
inference(global_subsumption_just,[status(thm)],[c_219230,c_3141,c_3876,c_8478]) ).
cnf(c_219237,plain,
( ~ aNaturalNumber0(sK0(xq,xp))
| ~ aNaturalNumber0(xq)
| aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_219234,c_52]) ).
cnf(c_219244,plain,
aNaturalNumber0(xp),
inference(global_subsumption_just,[status(thm)],[c_219237,c_3876]) ).
cnf(c_219246,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_219244,c_58]) ).
cnf(c_219750,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_104,c_219246]) ).
cnf(c_220056,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_220069,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_220056,c_107,c_104,c_105]) ).
cnf(c_221912,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,sdtsldt0(xm,xl)) = xm
| sz00 = xl ),
inference(superposition,[status(thm)],[c_106,c_98]) ).
cnf(c_221952,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,xp) = xm
| sz00 = xl ),
inference(light_normalisation,[status(thm)],[c_221912,c_108]) ).
cnf(c_221953,plain,
sdtasdt0(xl,xp) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_221952,c_107,c_104,c_103]) ).
cnf(c_222146,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_219750,c_221953]) ).
cnf(c_224162,plain,
( sdtasdt0(X0,xl) != xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| X0 = xp
| sz00 = xl ),
inference(superposition,[status(thm)],[c_222146,c_68]) ).
cnf(c_224173,plain,
( sdtasdt0(X0,xl) != xm
| ~ aNaturalNumber0(X0)
| X0 = xp ),
inference(forward_subsumption_resolution,[status(thm)],[c_224162,c_107,c_219244,c_104]) ).
cnf(c_224752,plain,
( ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| X0 = xp
| sz00 = xl
| sdtlseqdt0(sdtasdt0(X0,xl),xm) ),
inference(superposition,[status(thm)],[c_222146,c_88]) ).
cnf(c_224771,plain,
( ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| X0 = xp
| sdtlseqdt0(sdtasdt0(X0,xl),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_224752,c_107,c_219244,c_104]) ).
cnf(c_226287,plain,
aNaturalNumber0(xq),
inference(global_subsumption_just,[status(thm)],[c_220069,c_8478]) ).
cnf(c_302165,plain,
sdtasdt0(xl,xq) = sdtasdt0(xq,xl),
inference(superposition,[status(thm)],[c_226287,c_219137]) ).
cnf(c_305476,plain,
( ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| xp = xq
| sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(superposition,[status(thm)],[c_302165,c_224771]) ).
cnf(c_305477,plain,
( sdtasdt0(xl,xq) != xm
| ~ aNaturalNumber0(xq)
| xp = xq ),
inference(superposition,[status(thm)],[c_302165,c_224173]) ).
cnf(c_305480,plain,
( sdtasdt0(xl,xq) != xm
| xp = xq ),
inference(forward_subsumption_resolution,[status(thm)],[c_305477,c_226287]) ).
cnf(c_305484,plain,
( xp = xq
| sdtlseqdt0(sdtasdt0(xl,xq),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_305476,c_226287,c_219228]) ).
cnf(c_305523,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_305480,c_305484,c_206933,c_10019,c_10018,c_8478,c_6857,c_110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM471+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : run_iprover %s %d THM
% 0.11/0.31 % Computer : n014.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu May 2 19:19:17 EDT 2024
% 0.11/0.31 % CPUTime :
% 0.16/0.42 Running first-order theorem proving
% 0.16/0.42 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 98.34/14.19 % SZS status Started for theBenchmark.p
% 98.34/14.19 % SZS status Theorem for theBenchmark.p
% 98.34/14.19
% 98.34/14.19 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 98.34/14.19
% 98.34/14.19 ------ iProver source info
% 98.34/14.19
% 98.34/14.19 git: date: 2024-05-02 19:28:25 +0000
% 98.34/14.19 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 98.34/14.19 git: non_committed_changes: false
% 98.34/14.19
% 98.34/14.19 ------ Parsing...
% 98.34/14.19 ------ Clausification by vclausify_rel & Parsing by iProver...
% 98.34/14.19
% 98.34/14.19 ------ 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
% 98.34/14.19
% 98.34/14.19 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 98.34/14.19
% 98.34/14.19 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 98.34/14.19 ------ Proving...
% 98.34/14.19 ------ Problem Properties
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19 clauses 57
% 98.34/14.19 conjectures 1
% 98.34/14.19 EPR 15
% 98.34/14.19 Horn 44
% 98.34/14.19 unary 12
% 98.34/14.19 binary 7
% 98.34/14.19 lits 197
% 98.34/14.19 lits eq 52
% 98.34/14.19 fd_pure 0
% 98.34/14.19 fd_pseudo 0
% 98.34/14.19 fd_cond 6
% 98.34/14.19 fd_pseudo_cond 9
% 98.34/14.19 AC symbols 0
% 98.34/14.19
% 98.34/14.19 ------ Schedule dynamic 5 is on
% 98.34/14.19
% 98.34/14.19 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19 ------
% 98.34/14.19 Current options:
% 98.34/14.19 ------
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19 ------ Proving...
% 98.34/14.19 Proof_search_loop: time out after: 5308 full_loop iterations
% 98.34/14.19
% 98.34/14.19 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19 ------
% 98.34/14.19 Current options:
% 98.34/14.19 ------
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19 ------ Proving...
% 98.34/14.19
% 98.34/14.19
% 98.34/14.19 % SZS status Theorem for theBenchmark.p
% 98.34/14.19
% 98.34/14.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 98.34/14.19
% 98.34/14.21
%------------------------------------------------------------------------------