TSTP Solution File: NUM473+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM473+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n027.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 : Mon Jun 24 12:52:36 EDT 2024
% Result : Theorem 55.76s 8.28s
% Output : CNFRefutation 55.97s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f184)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
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(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtpldt0(X1,X0) = sdtpldt0(X2,X0)
| sdtpldt0(X0,X1) = sdtpldt0(X0,X2) )
=> X1 = X2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddCanc) ).
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(f19,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
=> ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
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(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETran) ).
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(f27,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 != X0
=> sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMonMul2) ).
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,axiom,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1409) ).
fof(f40,conjecture,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f41,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(negated_conjecture,[],[f40]) ).
fof(f44,plain,
~ sdtlseqdt0(xp,xq),
inference(flattening,[],[f41]) ).
fof(f46,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f47,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f46]) ).
fof(f50,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f51,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f50]) ).
fof(f54,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f55,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f55]) ).
fof(f63,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f64,plain,
! [X0,X1,X2] :
( X1 = X2
| ( sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
& sdtpldt0(X0,X1) != sdtpldt0(X0,X2) )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
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(ennf_transformation,[],[f15]) ).
fof(f66,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,[],[f65]) ).
fof(f71,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f72,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f74,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f73]) ).
fof(f76,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f76]) ).
fof(f78,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f79,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f81,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f80]) ).
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(ennf_transformation,[],[f25]) ).
fof(f85,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,[],[f84]) ).
fof(f88,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f89,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f88]) ).
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(ennf_transformation,[],[f31]) ).
fof(f93,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,[],[f92]) ).
fof(f98,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,[],[f72]) ).
fof(f99,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,[],[f98]) ).
fof(f100,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f101,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])],[f99,f100]) ).
fof(f102,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(nnf_transformation,[],[f74]) ).
fof(f103,plain,
! [X0,X1] :
( ! [X2] :
( ( sdtmndt0(X1,X0) = X2
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) )
& ( ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) )
| sdtmndt0(X1,X0) != X2 ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f102]) ).
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(nnf_transformation,[],[f93]) ).
fof(f109,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,[],[f108]) ).
fof(f110,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f113,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f115,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f117,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f119,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f56]) ).
fof(f127,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f129,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f134,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f135,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f137,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f138,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f141,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f77]) ).
fof(f142,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f79]) ).
fof(f144,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f150,plain,
! [X2,X0,X1] :
( sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ sdtlseqdt0(X1,X2)
| X1 = X2
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f85]) ).
fof(f155,plain,
! [X0,X1] :
( sdtlseqdt0(X1,sdtasdt0(X1,X0))
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f159,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f160,plain,
! [X2,X0,X1] :
( sdtasdt0(X0,X2) = X1
| sdtsldt0(X1,X0) != X2
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f164,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f34]) ).
fof(f165,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f34]) ).
fof(f166,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f34]) ).
fof(f167,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f35]) ).
fof(f168,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f35]) ).
fof(f169,plain,
sz00 != xl,
inference(cnf_transformation,[],[f36]) ).
fof(f170,plain,
xp = sdtsldt0(xm,xl),
inference(cnf_transformation,[],[f37]) ).
fof(f171,plain,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
inference(cnf_transformation,[],[f38]) ).
fof(f172,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f39]) ).
fof(f173,plain,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f44]) ).
fof(f176,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f138]) ).
fof(f177,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f137]) ).
fof(f182,plain,
! [X0,X1] :
( sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f160]) ).
fof(f183,plain,
! [X0,X1] :
( aNaturalNumber0(sdtsldt0(X1,X0))
| ~ doDivides0(X0,X1)
| sz00 = X0
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f159]) ).
cnf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f110]) ).
cnf(c_52,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_54,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_57,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f117]) ).
cnf(c_58,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_67,plain,
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f127]) ).
cnf(c_69,plain,
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = sz00
| X1 = X2 ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_74,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f135]) ).
cnf(c_75,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sK0(X0,X1)) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_77,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f176]) ).
cnf(c_78,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtmndt0(X1,X0)) ),
inference(cnf_transformation,[],[f177]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f141]) ).
cnf(c_81,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f142]) ).
cnf(c_82,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f144]) ).
cnf(c_83,plain,
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_90,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X1
| X2 = sz00
| sdtlseqdt0(sdtasdt0(X2,X0),sdtasdt0(X2,X1)) ),
inference(cnf_transformation,[],[f150]) ).
cnf(c_93,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = sz00
| sdtlseqdt0(X1,sdtasdt0(X1,X0)) ),
inference(cnf_transformation,[],[f155]) ).
cnf(c_98,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,sdtsldt0(X1,X0)) = X1
| X0 = sz00 ),
inference(cnf_transformation,[],[f182]) ).
cnf(c_99,plain,
( ~ doDivides0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = sz00
| aNaturalNumber0(sdtsldt0(X1,X0)) ),
inference(cnf_transformation,[],[f183]) ).
cnf(c_102,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f166]) ).
cnf(c_103,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f165]) ).
cnf(c_104,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f164]) ).
cnf(c_105,plain,
doDivides0(xl,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f168]) ).
cnf(c_106,plain,
doDivides0(xl,xm),
inference(cnf_transformation,[],[f167]) ).
cnf(c_107,plain,
sz00 != xl,
inference(cnf_transformation,[],[f169]) ).
cnf(c_108,plain,
sdtsldt0(xm,xl) = xp,
inference(cnf_transformation,[],[f170]) ).
cnf(c_109,plain,
sdtsldt0(sdtpldt0(xm,xn),xl) = xq,
inference(cnf_transformation,[],[f171]) ).
cnf(c_110,plain,
sdtlseqdt0(xm,sdtpldt0(xm,xn)),
inference(cnf_transformation,[],[f172]) ).
cnf(c_111,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(cnf_transformation,[],[f173]) ).
cnf(c_1713,negated_conjecture,
~ sdtlseqdt0(xp,xq),
inference(demodulation,[status(thm)],[c_111]) ).
cnf(c_1714,plain,
X0 = X0,
theory(equality) ).
cnf(c_1720,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_2629,plain,
( xp != X0
| xq != X1
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_1720]) ).
cnf(c_2704,plain,
( xp != X0
| xq != xq
| ~ sdtlseqdt0(X0,xq)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_2629]) ).
cnf(c_2705,plain,
xq = xq,
inference(instantiation,[status(thm)],[c_1714]) ).
cnf(c_2758,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(instantiation,[status(thm)],[c_52]) ).
cnf(c_3001,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_1713]) ).
cnf(c_3024,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_1713]) ).
cnf(c_3608,plain,
( xp != xq
| xq != xq
| ~ sdtlseqdt0(xq,xq)
| sdtlseqdt0(xp,xq) ),
inference(instantiation,[status(thm)],[c_2704]) ).
cnf(c_3609,plain,
( ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xq) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_4090,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sK0(xq,xp)) = xp ),
inference(superposition,[status(thm)],[c_3024,c_74]) ).
cnf(c_4267,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sdtmndt0(xp,xq)) = xp ),
inference(superposition,[status(thm)],[c_3024,c_77]) ).
cnf(c_5586,plain,
( ~ doDivides0(xl,xm)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sz00 = xl
| aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_108,c_99]) ).
cnf(c_5587,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_5601,plain,
aNaturalNumber0(xp),
inference(forward_subsumption_resolution,[status(thm)],[c_5586,c_107,c_104,c_103,c_106]) ).
cnf(c_5602,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5587,c_107,c_104,c_105]) ).
cnf(c_23315,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_1713]) ).
cnf(c_23326,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(superposition,[status(thm)],[c_102,c_54]) ).
cnf(c_23351,plain,
sdtlseqdt0(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_23315,c_103,c_102,c_2758,c_3001,c_5601,c_5602]) ).
cnf(c_23488,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sK0(xq,xp)) = xp ),
inference(superposition,[status(thm)],[c_23351,c_74]) ).
cnf(c_23571,plain,
sdtpldt0(xq,sK0(xq,xp)) = xp,
inference(global_subsumption_just,[status(thm)],[c_23488,c_103,c_102,c_2758,c_4090,c_5601,c_5602]) ).
cnf(c_23576,plain,
( ~ aNaturalNumber0(sK0(xq,xp))
| ~ aNaturalNumber0(xq)
| aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_23571,c_52]) ).
cnf(c_23583,plain,
aNaturalNumber0(xp),
inference(global_subsumption_just,[status(thm)],[c_23576,c_5601]) ).
cnf(c_23586,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_23583,c_58]) ).
cnf(c_24099,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,sdtsldt0(xm,xl)) = xm
| sz00 = xl ),
inference(superposition,[status(thm)],[c_106,c_98]) ).
cnf(c_24129,plain,
sdtasdt0(xl,sdtsldt0(xm,xl)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_24099,c_107,c_104,c_103]) ).
cnf(c_24425,plain,
sdtasdt0(xl,xp) = xm,
inference(light_normalisation,[status(thm)],[c_24129,c_108]) ).
cnf(c_25072,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_104,c_23586]) ).
cnf(c_25929,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_25072,c_24425]) ).
cnf(c_25935,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| sz00 = xl
| sdtlseqdt0(xp,xm) ),
inference(superposition,[status(thm)],[c_25929,c_93]) ).
cnf(c_25944,plain,
sdtlseqdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_25935,c_107,c_23583,c_104]) ).
cnf(c_25988,plain,
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_25944,c_81]) ).
cnf(c_25999,plain,
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_25988,c_23583,c_103]) ).
cnf(c_26596,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtlseqdt0(xp,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_110,c_25999]) ).
cnf(c_27119,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_103,c_23326]) ).
cnf(c_42561,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_27119,c_52]) ).
cnf(c_42573,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(forward_subsumption_resolution,[status(thm)],[c_42561,c_103,c_102]) ).
cnf(c_42587,plain,
sdtlseqdt0(xp,sdtpldt0(xm,xn)),
inference(backward_subsumption_resolution,[status(thm)],[c_26596,c_42573]) ).
cnf(c_43762,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xp)
| sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) ),
inference(superposition,[status(thm)],[c_42587,c_74]) ).
cnf(c_43774,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(forward_subsumption_resolution,[status(thm)],[c_43762,c_23583,c_42573]) ).
cnf(c_44739,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtlseqdt0(xq,xp) ),
inference(superposition,[status(thm)],[c_82,c_1713]) ).
cnf(c_44775,plain,
sdtlseqdt0(xq,xp),
inference(global_subsumption_just,[status(thm)],[c_44739,c_103,c_102,c_2758,c_3001,c_5601,c_5602]) ).
cnf(c_44929,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sK0(xq,xp)) = xp ),
inference(superposition,[status(thm)],[c_44775,c_74]) ).
cnf(c_44967,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sdtpldt0(xq,sdtmndt0(xp,xq)) = xp ),
inference(superposition,[status(thm)],[c_44775,c_77]) ).
cnf(c_45012,plain,
sdtpldt0(xq,sK0(xq,xp)) = xp,
inference(global_subsumption_just,[status(thm)],[c_44929,c_103,c_102,c_2758,c_4090,c_5601,c_5602]) ).
cnf(c_45017,plain,
( ~ aNaturalNumber0(sK0(xq,xp))
| ~ aNaturalNumber0(xq)
| aNaturalNumber0(xp) ),
inference(superposition,[status(thm)],[c_45012,c_52]) ).
cnf(c_45018,plain,
sdtpldt0(xq,sdtmndt0(xp,xq)) = xp,
inference(global_subsumption_just,[status(thm)],[c_44967,c_103,c_102,c_2758,c_4267,c_5601,c_5602]) ).
cnf(c_45024,plain,
aNaturalNumber0(xp),
inference(global_subsumption_just,[status(thm)],[c_45017,c_5601]) ).
cnf(c_45027,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xp) = sdtasdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_45024,c_58]) ).
cnf(c_45059,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xm)
| sdtpldt0(xm,xn) = xm ),
inference(superposition,[status(thm)],[c_110,c_80]) ).
cnf(c_45081,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xm,xn) = xm ),
inference(forward_subsumption_resolution,[status(thm)],[c_45059,c_103]) ).
cnf(c_45123,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_45134,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| aNaturalNumber0(xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45123,c_107,c_104,c_105]) ).
cnf(c_45161,plain,
aNaturalNumber0(xq),
inference(global_subsumption_just,[status(thm)],[c_45134,c_103,c_102,c_2758,c_5602]) ).
cnf(c_45172,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_45161,c_57]) ).
cnf(c_45526,plain,
( sdtpldt0(xq,X0) != xp
| ~ aNaturalNumber0(sdtmndt0(xp,xq))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xq)
| sdtmndt0(xp,xq) = X0 ),
inference(superposition,[status(thm)],[c_45018,c_67]) ).
cnf(c_45554,plain,
( sdtpldt0(xq,X0) != xp
| ~ aNaturalNumber0(sdtmndt0(xp,xq))
| ~ aNaturalNumber0(X0)
| sdtmndt0(xp,xq) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_45526,c_45161]) ).
cnf(c_45562,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_45563,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xl)
| sdtasdt0(xl,sdtsldt0(xm,xl)) = xm
| sz00 = xl ),
inference(superposition,[status(thm)],[c_106,c_98]) ).
cnf(c_45593,plain,
sdtasdt0(xl,sdtsldt0(xm,xl)) = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_45563,c_107,c_104,c_103]) ).
cnf(c_45594,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtpldt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_45562,c_107,c_104]) ).
cnf(c_45603,plain,
sdtasdt0(xl,xp) = xm,
inference(light_normalisation,[status(thm)],[c_45593,c_108]) ).
cnf(c_46284,plain,
( sdtasdt0(xl,X0) != xm
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| X0 = xp
| sz00 = xl ),
inference(superposition,[status(thm)],[c_45603,c_69]) ).
cnf(c_46287,plain,
( sdtasdt0(xl,X0) != xm
| ~ aNaturalNumber0(X0)
| X0 = xp ),
inference(forward_subsumption_resolution,[status(thm)],[c_46284,c_107,c_45024,c_104]) ).
cnf(c_46456,plain,
sdtasdt0(xl,xp) = sdtasdt0(xp,xl),
inference(superposition,[status(thm)],[c_104,c_45027]) ).
cnf(c_46611,plain,
( ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| X0 = xp
| sz00 = xl
| sdtlseqdt0(sdtasdt0(xl,X0),xm) ),
inference(superposition,[status(thm)],[c_45603,c_90]) ).
cnf(c_46618,plain,
( ~ sdtlseqdt0(X0,xp)
| ~ aNaturalNumber0(X0)
| X0 = xp
| sdtlseqdt0(sdtasdt0(xl,X0),xm) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46611,c_107,c_45024,c_104]) ).
cnf(c_46700,plain,
sdtasdt0(xp,xl) = xm,
inference(light_normalisation,[status(thm)],[c_46456,c_45603]) ).
cnf(c_46706,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| sz00 = xl
| sdtlseqdt0(xp,xm) ),
inference(superposition,[status(thm)],[c_46700,c_93]) ).
cnf(c_46714,plain,
sdtlseqdt0(xp,xm),
inference(forward_subsumption_resolution,[status(thm)],[c_46706,c_107,c_45024,c_104]) ).
cnf(c_46728,plain,
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,X0) ),
inference(superposition,[status(thm)],[c_46714,c_81]) ).
cnf(c_46739,plain,
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_46728,c_45024,c_103]) ).
cnf(c_46915,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtlseqdt0(xp,sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_110,c_46739]) ).
cnf(c_48112,plain,
sdtlseqdt0(xp,sdtpldt0(xm,xn)),
inference(global_subsumption_just,[status(thm)],[c_46915,c_103,c_102,c_2758,c_26596]) ).
cnf(c_48117,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| ~ aNaturalNumber0(xp)
| sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) ),
inference(superposition,[status(thm)],[c_48112,c_74]) ).
cnf(c_48122,plain,
( ~ aNaturalNumber0(sdtpldt0(xm,xn))
| sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_48117,c_45024]) ).
cnf(c_49442,plain,
sdtpldt0(xp,sK0(xp,sdtpldt0(xm,xn))) = sdtpldt0(xm,xn),
inference(global_subsumption_just,[status(thm)],[c_48122,c_43774]) ).
cnf(c_49449,plain,
( ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xn)))
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(superposition,[status(thm)],[c_49442,c_52]) ).
cnf(c_49463,plain,
( ~ aNaturalNumber0(sK0(xp,sdtpldt0(xm,xn)))
| aNaturalNumber0(sdtpldt0(xm,xn)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_49449,c_45024]) ).
cnf(c_49478,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference(global_subsumption_just,[status(thm)],[c_49463,c_103,c_102,c_2758]) ).
cnf(c_49497,plain,
sdtasdt0(xl,sdtsldt0(sdtpldt0(xm,xn),xl)) = sdtpldt0(xm,xn),
inference(backward_subsumption_resolution,[status(thm)],[c_45594,c_49478]) ).
cnf(c_49501,plain,
( ~ sdtlseqdt0(sdtpldt0(xm,xn),xm)
| sdtpldt0(xm,xn) = xm ),
inference(backward_subsumption_resolution,[status(thm)],[c_45081,c_49478]) ).
cnf(c_62053,plain,
( xp != xq
| ~ aNaturalNumber0(sdtmndt0(xp,xq))
| ~ aNaturalNumber0(sz00)
| sdtmndt0(xp,xq) = sz00 ),
inference(superposition,[status(thm)],[c_45172,c_45554]) ).
cnf(c_62054,plain,
( ~ aNaturalNumber0(sK0(xq,xp))
| ~ aNaturalNumber0(sdtmndt0(xp,xq))
| sK0(xq,xp) = sdtmndt0(xp,xq) ),
inference(superposition,[status(thm)],[c_45012,c_45554]) ).
cnf(c_62060,plain,
( xp != xq
| ~ aNaturalNumber0(sdtmndt0(xp,xq))
| sdtmndt0(xp,xq) = sz00 ),
inference(forward_subsumption_resolution,[status(thm)],[c_62053,c_49]) ).
cnf(c_62064,plain,
( ~ aNaturalNumber0(sdtmndt0(xp,xq))
| ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sK0(xq,xp) = sdtmndt0(xp,xq) ),
inference(superposition,[status(thm)],[c_75,c_62054]) ).
cnf(c_62065,plain,
( ~ aNaturalNumber0(sdtmndt0(xp,xq))
| sK0(xq,xp) = sdtmndt0(xp,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[c_62064,c_45161,c_45024,c_44775]) ).
cnf(c_62068,plain,
( ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| sK0(xq,xp) = sdtmndt0(xp,xq) ),
inference(superposition,[status(thm)],[c_78,c_62065]) ).
cnf(c_62069,plain,
sK0(xq,xp) = sdtmndt0(xp,xq),
inference(forward_subsumption_resolution,[status(thm)],[c_62068,c_45161,c_45024,c_44775]) ).
cnf(c_62072,plain,
( ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xq)
| aNaturalNumber0(sdtmndt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_62069,c_75]) ).
cnf(c_62073,plain,
aNaturalNumber0(sdtmndt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_62072,c_45161,c_45024,c_44775]) ).
cnf(c_62074,plain,
( xp != xq
| sdtmndt0(xp,xq) = sz00 ),
inference(backward_subsumption_resolution,[status(thm)],[c_62060,c_62073]) ).
cnf(c_64699,plain,
xp != xq,
inference(global_subsumption_just,[status(thm)],[c_62074,c_103,c_102,c_111,c_2705,c_2758,c_3608,c_3609,c_5602]) ).
cnf(c_75485,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference(light_normalisation,[status(thm)],[c_49497,c_109]) ).
cnf(c_75499,plain,
( ~ sdtlseqdt0(xq,xp)
| ~ aNaturalNumber0(xq)
| xp = xq
| sdtlseqdt0(sdtpldt0(xm,xn),xm) ),
inference(superposition,[status(thm)],[c_75485,c_46618]) ).
cnf(c_75500,plain,
( sdtpldt0(xm,xn) != xm
| ~ aNaturalNumber0(xq)
| xp = xq ),
inference(superposition,[status(thm)],[c_75485,c_46287]) ).
cnf(c_75501,plain,
sdtpldt0(xm,xn) != xm,
inference(forward_subsumption_resolution,[status(thm)],[c_75500,c_64699,c_45161]) ).
cnf(c_75502,plain,
sdtlseqdt0(sdtpldt0(xm,xn),xm),
inference(forward_subsumption_resolution,[status(thm)],[c_75499,c_64699,c_45161,c_44775]) ).
cnf(c_75509,plain,
~ sdtlseqdt0(sdtpldt0(xm,xn),xm),
inference(backward_subsumption_resolution,[status(thm)],[c_49501,c_75501]) ).
cnf(c_75510,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_75509,c_75502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM473+1 : TPTP v8.2.0. Released v4.0.0.
% 0.12/0.12 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n027.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Jun 22 19:02:24 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.49 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
% 55.76/8.28 % SZS status Started for theBenchmark.p
% 55.76/8.28 % SZS status Theorem for theBenchmark.p
% 55.76/8.28
% 55.76/8.28 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 55.76/8.28
% 55.76/8.28 ------ iProver source info
% 55.76/8.28
% 55.76/8.28 git: date: 2024-06-12 09:56:46 +0000
% 55.76/8.28 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 55.76/8.28 git: non_committed_changes: false
% 55.76/8.28
% 55.76/8.28 ------ Parsing...
% 55.76/8.28 ------ Clausification by vclausify_rel & Parsing by iProver...
% 55.76/8.28
% 55.76/8.28 ------ 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
% 55.76/8.28
% 55.76/8.28 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 55.76/8.28
% 55.76/8.28 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 55.76/8.28 ------ Proving...
% 55.76/8.28 ------ Problem Properties
% 55.76/8.28
% 55.76/8.28
% 55.76/8.28 clauses 58
% 55.76/8.28 conjectures 1
% 55.76/8.28 EPR 15
% 55.76/8.28 Horn 45
% 55.76/8.28 unary 13
% 55.76/8.28 binary 7
% 55.76/8.28 lits 198
% 55.76/8.28 lits eq 52
% 55.76/8.28 fd_pure 0
% 55.76/8.28 fd_pseudo 0
% 55.76/8.28 fd_cond 6
% 55.76/8.28 fd_pseudo_cond 9
% 55.76/8.28 AC symbols 0
% 55.76/8.28
% 55.76/8.28 ------ Input Options Time Limit: Unbounded
% 55.76/8.28
% 55.76/8.28
% 55.76/8.28 ------
% 55.76/8.28 Current options:
% 55.76/8.28 ------
% 55.76/8.28
% 55.76/8.28
% 55.76/8.28
% 55.76/8.28
% 55.76/8.28 ------ Proving...
% 55.76/8.28
% 55.76/8.28
% 55.76/8.28 % SZS status Theorem for theBenchmark.p
% 55.76/8.28
% 55.76/8.28 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 55.97/8.28
% 55.97/8.29
%------------------------------------------------------------------------------