TSTP Solution File: NUM461+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 02:49:23 EDT 2024
% Result : Theorem 221.61s 29.76s
% Output : CNFRefutation 221.61s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% 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(f7,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
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(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(f24,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xl) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__840) ).
fof(f25,axiom,
( sdtlseqdt0(xl,xn)
& ? [X0] :
( xn = sdtpldt0(xl,X0)
& aNaturalNumber0(X0) )
& xl != xn ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__840_03) ).
fof(f26,axiom,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__873) ).
fof(f27,conjecture,
( ( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xl,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& ( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xl),X0)
& aNaturalNumber0(X0) ) )
& sdtpldt0(xm,xl) != sdtpldt0(xm,xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f28,negated_conjecture,
~ ( ( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xl,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& ( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ? [X0] :
( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xl),X0)
& aNaturalNumber0(X0) ) )
& sdtpldt0(xm,xl) != sdtpldt0(xm,xn) ),
inference(negated_conjecture,[],[f27]) ).
fof(f30,plain,
~ ( ( sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,xm) = sdtpldt0(sdtpldt0(xl,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtpldt0(xl,xm) != sdtpldt0(xn,xm)
& ( sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ? [X1] :
( sdtpldt0(xm,xn) = sdtpldt0(sdtpldt0(xm,xl),X1)
& aNaturalNumber0(X1) ) )
& sdtpldt0(xm,xl) != sdtpldt0(xm,xn) ),
inference(rectify,[],[f28]) ).
fof(f31,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f31]) ).
fof(f35,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f36,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f38,plain,
! [X0,X1,X2] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f48,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(f49,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,[],[f48]) ).
fof(f58,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(f59,plain,
! [X0,X1] :
( ! [X2] :
( sdtmndt0(X1,X0) = X2
<=> ( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f58]) ).
fof(f61,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f62,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f64,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f65,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f66,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f65]) ).
fof(f67,plain,
( ( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
& ! [X0] :
( sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(X0) ) )
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| ( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
& ! [X1] :
( sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X1)
| ~ aNaturalNumber0(X1) ) )
| sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
inference(ennf_transformation,[],[f30]) ).
fof(f72,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,[],[f59]) ).
fof(f73,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,[],[f72]) ).
fof(f74,plain,
( ? [X0] :
( xn = sdtpldt0(xl,X0)
& aNaturalNumber0(X0) )
=> ( xn = sdtpldt0(xl,sK1)
& aNaturalNumber0(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f75,plain,
( sdtlseqdt0(xl,xn)
& xn = sdtpldt0(xl,sK1)
& aNaturalNumber0(sK1)
& xl != xn ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f25,f74]) ).
fof(f76,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f79,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f81,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f82,plain,
! [X2,X0,X1] :
( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f38]) ).
fof(f83,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f94,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X1,X0) != sdtpldt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f104,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f73]) ).
fof(f107,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f108,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f110,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f111,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f24]) ).
fof(f112,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f24]) ).
fof(f113,plain,
xl != xn,
inference(cnf_transformation,[],[f75]) ).
fof(f114,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f115,plain,
xn = sdtpldt0(xl,sK1),
inference(cnf_transformation,[],[f75]) ).
fof(f117,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f26]) ).
fof(f118,plain,
! [X0,X1] :
( sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X1)
| ~ aNaturalNumber0(X1)
| sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
inference(cnf_transformation,[],[f67]) ).
fof(f119,plain,
! [X0] :
( sdtpldt0(xn,xm) != sdtpldt0(sdtpldt0(xl,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
inference(cnf_transformation,[],[f67]) ).
fof(f120,plain,
! [X1] :
( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| sdtpldt0(xl,xm) = sdtpldt0(xn,xm)
| sdtpldt0(xm,xn) != sdtpldt0(sdtpldt0(xm,xl),X1)
| ~ aNaturalNumber0(X1)
| sdtpldt0(xm,xl) = sdtpldt0(xm,xn) ),
inference(cnf_transformation,[],[f67]) ).
fof(f124,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f104]) ).
cnf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f76]) ).
cnf(c_52,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f79]) ).
cnf(c_54,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f81]) ).
cnf(c_55,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) ),
inference(cnf_transformation,[],[f82]) ).
cnf(c_57,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f83]) ).
cnf(c_66,plain,
( sdtpldt0(X0,X1) != sdtpldt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X2 ),
inference(cnf_transformation,[],[f94]) ).
cnf(c_77,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f124]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f107]) ).
cnf(c_81,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f108]) ).
cnf(c_82,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f110]) ).
cnf(c_84,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f112]) ).
cnf(c_85,plain,
aNaturalNumber0(xl),
inference(cnf_transformation,[],[f111]) ).
cnf(c_87,plain,
sdtpldt0(xl,sK1) = xn,
inference(cnf_transformation,[],[f115]) ).
cnf(c_88,plain,
aNaturalNumber0(sK1),
inference(cnf_transformation,[],[f114]) ).
cnf(c_89,plain,
xn != xl,
inference(cnf_transformation,[],[f113]) ).
cnf(c_90,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f117]) ).
cnf(c_92,negated_conjecture,
( sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xm,xn)
| ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl) ),
inference(cnf_transformation,[],[f120]) ).
cnf(c_93,negated_conjecture,
( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xn,xm)
| ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| ~ aNaturalNumber0(X0)
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl) ),
inference(cnf_transformation,[],[f119]) ).
cnf(c_94,negated_conjecture,
( sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xn,xm)
| sdtpldt0(sdtpldt0(xm,xl),X1) != sdtpldt0(xm,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl) ),
inference(cnf_transformation,[],[f118]) ).
cnf(c_1254,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xm,xl),X0) != sdtpldt0(xm,xn)
| ~ sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_94]) ).
cnf(c_1255,negated_conjecture,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(xl,xm),X0) != sdtpldt0(xn,xm)
| ~ sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_94]) ).
cnf(c_1256,negated_conjecture,
( sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sP0_iProver_def
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_94]) ).
cnf(c_1257,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(xm,xl),sdtpldt0(xm,xn))
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sP1_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_93]) ).
cnf(c_1258,negated_conjecture,
( ~ sdtlseqdt0(sdtpldt0(xl,xm),sdtpldt0(xn,xm))
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm)
| sdtpldt0(xm,xn) = sdtpldt0(xm,xl)
| sP0_iProver_def ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_92]) ).
cnf(c_1259,plain,
sdtpldt0(xn,xm) = sP2_iProver_def,
definition ).
cnf(c_1260,plain,
sdtpldt0(xl,xm) = sP3_iProver_def,
definition ).
cnf(c_1261,plain,
sdtpldt0(xm,xn) = sP4_iProver_def,
definition ).
cnf(c_1262,plain,
sdtpldt0(xm,xl) = sP5_iProver_def,
definition ).
cnf(c_1263,negated_conjecture,
( sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_1256,c_1262,c_1261,c_1260,c_1259]) ).
cnf(c_1266,negated_conjecture,
( ~ sdtlseqdt0(sP5_iProver_def,sP4_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_1257]) ).
cnf(c_1267,negated_conjecture,
( sdtpldt0(sP3_iProver_def,X0) != sP2_iProver_def
| ~ aNaturalNumber0(X0)
| ~ sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_1255]) ).
cnf(c_1268,negated_conjecture,
( ~ sdtlseqdt0(sP3_iProver_def,sP2_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_1258]) ).
cnf(c_1269,negated_conjecture,
( sdtpldt0(sP5_iProver_def,X0) != sP4_iProver_def
| ~ aNaturalNumber0(X0)
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_1254]) ).
cnf(c_1273,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_2272,plain,
( sdtpldt0(xn,X0) != sdtpldt0(xl,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| xn = xl ),
inference(instantiation,[status(thm)],[c_66]) ).
cnf(c_2273,plain,
( sdtpldt0(xn,xm) != sdtpldt0(xl,xm)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| xn = xl ),
inference(instantiation,[status(thm)],[c_2272]) ).
cnf(c_2325,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xn) = sdtpldt0(xn,X0) ),
inference(superposition,[status(thm)],[c_84,c_54]) ).
cnf(c_2326,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xl) = sdtpldt0(xl,X0) ),
inference(superposition,[status(thm)],[c_85,c_54]) ).
cnf(c_2776,plain,
( sdtpldt0(xn,X0) != X1
| sdtpldt0(xl,X0) != X1
| sdtpldt0(xn,X0) = sdtpldt0(xl,X0) ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_6212,plain,
( sdtpldt0(xn,xm) != sP2_iProver_def
| sdtpldt0(xl,xm) != sP2_iProver_def
| sdtpldt0(xn,xm) = sdtpldt0(xl,xm) ),
inference(instantiation,[status(thm)],[c_2776]) ).
cnf(c_12809,plain,
( sdtpldt0(xl,xm) != X0
| sP2_iProver_def != X0
| sdtpldt0(xl,xm) = sP2_iProver_def ),
inference(instantiation,[status(thm)],[c_1273]) ).
cnf(c_28441,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference(superposition,[status(thm)],[c_90,c_2325]) ).
cnf(c_28455,plain,
sP2_iProver_def = sP4_iProver_def,
inference(light_normalisation,[status(thm)],[c_28441,c_1259,c_1261]) ).
cnf(c_28626,plain,
( sdtpldt0(sP5_iProver_def,X0) != sP2_iProver_def
| ~ aNaturalNumber0(X0)
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_1269,c_28455]) ).
cnf(c_28627,plain,
( sP2_iProver_def = sP3_iProver_def
| sP2_iProver_def = sP5_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_1263,c_28455]) ).
cnf(c_33081,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_1260,c_52]) ).
cnf(c_33082,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sP2_iProver_def) ),
inference(superposition,[status(thm)],[c_1259,c_52]) ).
cnf(c_33083,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sP5_iProver_def) ),
inference(superposition,[status(thm)],[c_1262,c_52]) ).
cnf(c_33084,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sP4_iProver_def) ),
inference(superposition,[status(thm)],[c_1261,c_52]) ).
cnf(c_33102,plain,
aNaturalNumber0(sP4_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_33084,c_90,c_84]) ).
cnf(c_33103,plain,
aNaturalNumber0(sP5_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_33083,c_90,c_85]) ).
cnf(c_33104,plain,
aNaturalNumber0(sP2_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_33082,c_90,c_84]) ).
cnf(c_33105,plain,
aNaturalNumber0(sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_33081,c_90,c_85]) ).
cnf(c_33213,plain,
sdtpldt0(sP3_iProver_def,sz00) = sP3_iProver_def,
inference(superposition,[status(thm)],[c_33105,c_57]) ).
cnf(c_33279,plain,
( ~ aNaturalNumber0(sP4_iProver_def)
| ~ aNaturalNumber0(sP5_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP4_iProver_def,sP5_iProver_def)
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_82,c_1266]) ).
cnf(c_33280,plain,
( ~ aNaturalNumber0(sP2_iProver_def)
| ~ aNaturalNumber0(sP3_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP2_iProver_def,sP3_iProver_def)
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_82,c_1268]) ).
cnf(c_33283,plain,
( sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP2_iProver_def,sP3_iProver_def)
| sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_33280,c_33105,c_33104]) ).
cnf(c_33288,plain,
( sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP4_iProver_def,sP5_iProver_def)
| sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_33279,c_33103,c_33102]) ).
cnf(c_33310,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xl) = sdtpldt0(xl,X0) ),
inference(superposition,[status(thm)],[c_85,c_54]) ).
cnf(c_34093,plain,
( ~ sdtlseqdt0(sP5_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP4_iProver_def)
| ~ aNaturalNumber0(sP5_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP4_iProver_def,X0)
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_33288,c_81]) ).
cnf(c_34094,plain,
( ~ sdtlseqdt0(sP3_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP2_iProver_def)
| ~ aNaturalNumber0(sP3_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP2_iProver_def,X0)
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_33283,c_81]) ).
cnf(c_34147,plain,
( ~ sdtlseqdt0(sP3_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP2_iProver_def,X0)
| sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_34094,c_33105,c_33104]) ).
cnf(c_34154,plain,
( ~ sdtlseqdt0(sP5_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP4_iProver_def,X0)
| sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_34093,c_33103,c_33102]) ).
cnf(c_34353,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP3_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP3_iProver_def)
| sdtlseqdt0(sP2_iProver_def,X0)
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_82,c_34147]) ).
cnf(c_34354,plain,
( ~ aNaturalNumber0(X0)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP3_iProver_def)
| sdtlseqdt0(sP2_iProver_def,X0)
| sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_34353,c_33105]) ).
cnf(c_34400,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP5_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP5_iProver_def)
| sdtlseqdt0(sP4_iProver_def,X0)
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_82,c_34154]) ).
cnf(c_34401,plain,
( ~ aNaturalNumber0(X0)
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP5_iProver_def)
| sdtlseqdt0(sP4_iProver_def,X0)
| sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_34400,c_33103]) ).
cnf(c_35047,plain,
( ~ sdtlseqdt0(X0,sP2_iProver_def)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP2_iProver_def)
| X0 = sP2_iProver_def
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP3_iProver_def)
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_34354,c_80]) ).
cnf(c_35048,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP2_iProver_def)
| sdtpldt0(sP2_iProver_def,sdtmndt0(X0,sP2_iProver_def)) = X0
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP3_iProver_def)
| sP0_iProver_def ),
inference(superposition,[status(thm)],[c_34354,c_77]) ).
cnf(c_35080,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sP2_iProver_def,sdtmndt0(X0,sP2_iProver_def)) = X0
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP3_iProver_def)
| sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_35048,c_33104]) ).
cnf(c_35087,plain,
( ~ sdtlseqdt0(X0,sP2_iProver_def)
| ~ aNaturalNumber0(X0)
| X0 = sP2_iProver_def
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(X0,sP3_iProver_def)
| sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_35047,c_33104]) ).
cnf(c_39163,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_90,c_2326]) ).
cnf(c_39182,plain,
sP3_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_39163,c_1260,c_1262]) ).
cnf(c_39283,plain,
( sdtpldt0(sP3_iProver_def,X0) != sP2_iProver_def
| ~ aNaturalNumber0(X0)
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_28626,c_39182]) ).
cnf(c_39284,plain,
( sP2_iProver_def = sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(demodulation,[status(thm)],[c_28627,c_39182]) ).
cnf(c_40840,plain,
( ~ aNaturalNumber0(sP3_iProver_def)
| ~ aNaturalNumber0(sP5_iProver_def)
| sdtpldt0(sP2_iProver_def,sdtmndt0(sP5_iProver_def,sP2_iProver_def)) = sP5_iProver_def
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP4_iProver_def,sP3_iProver_def)
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_35080,c_34154]) ).
cnf(c_40841,plain,
( sdtpldt0(sP2_iProver_def,sdtmndt0(sP5_iProver_def,sP2_iProver_def)) = sP5_iProver_def
| sP2_iProver_def = sP3_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP4_iProver_def,sP3_iProver_def)
| sP0_iProver_def
| sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_40840,c_33103,c_33105]) ).
cnf(c_41195,plain,
( sP2_iProver_def = sP3_iProver_def
| sP0_iProver_def
| sP1_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_40841,c_39284]) ).
cnf(c_41229,plain,
( ~ aNaturalNumber0(sP2_iProver_def)
| ~ aNaturalNumber0(sP4_iProver_def)
| sP2_iProver_def = sP3_iProver_def
| sP2_iProver_def = sP4_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP2_iProver_def,sP5_iProver_def)
| sdtlseqdt0(sP4_iProver_def,sP3_iProver_def)
| sP0_iProver_def
| sP1_iProver_def ),
inference(superposition,[status(thm)],[c_34401,c_35087]) ).
cnf(c_41239,plain,
( sP2_iProver_def = sP3_iProver_def
| sP2_iProver_def = sP4_iProver_def
| sP4_iProver_def = sP5_iProver_def
| sdtlseqdt0(sP2_iProver_def,sP5_iProver_def)
| sdtlseqdt0(sP4_iProver_def,sP3_iProver_def)
| sP0_iProver_def
| sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_41229,c_33102,c_33104]) ).
cnf(c_41540,plain,
sP2_iProver_def = sP4_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_41239,c_28455]) ).
cnf(c_41617,plain,
( sdtpldt0(sP5_iProver_def,X0) != sP2_iProver_def
| ~ aNaturalNumber0(X0)
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_1269,c_41540]) ).
cnf(c_43459,plain,
( sdtpldt0(xl,xm) != sP3_iProver_def
| sP2_iProver_def != sP3_iProver_def
| sdtpldt0(xl,xm) = sP2_iProver_def ),
inference(instantiation,[status(thm)],[c_12809]) ).
cnf(c_45155,plain,
( sP2_iProver_def != sP3_iProver_def
| ~ aNaturalNumber0(sz00)
| ~ sP1_iProver_def ),
inference(superposition,[status(thm)],[c_33213,c_1267]) ).
cnf(c_45157,plain,
( sP2_iProver_def != sP3_iProver_def
| ~ sP1_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_45155,c_49]) ).
cnf(c_45450,plain,
sP2_iProver_def != sP3_iProver_def,
inference(global_subsumption_just,[status(thm)],[c_45157,c_90,c_85,c_84,c_89,c_1259,c_1260,c_2273,c_6212,c_43459]) ).
cnf(c_45454,plain,
( sP0_iProver_def
| sP1_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_41195,c_45450]) ).
cnf(c_53940,plain,
sdtpldt0(xl,xm) = sdtpldt0(xm,xl),
inference(superposition,[status(thm)],[c_90,c_33310]) ).
cnf(c_53946,plain,
sP3_iProver_def = sP5_iProver_def,
inference(light_normalisation,[status(thm)],[c_53940,c_1260,c_1262]) ).
cnf(c_53983,plain,
( sdtpldt0(sP3_iProver_def,X0) != sP2_iProver_def
| ~ aNaturalNumber0(X0)
| ~ sP0_iProver_def ),
inference(demodulation,[status(thm)],[c_41617,c_53946]) ).
cnf(c_54039,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sP3_iProver_def,X0) != sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_53983,c_1267,c_39283,c_45454]) ).
cnf(c_54040,plain,
( sdtpldt0(sP3_iProver_def,X0) != sP2_iProver_def
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_54039]) ).
cnf(c_481422,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,xl) = sdtpldt0(xl,X0) ),
inference(superposition,[status(thm)],[c_85,c_54]) ).
cnf(c_481439,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sK1) = sdtpldt0(sK1,X0) ),
inference(superposition,[status(thm)],[c_88,c_54]) ).
cnf(c_481458,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(sdtpldt0(X0,xl),X1) = sdtpldt0(X0,sdtpldt0(xl,X1)) ),
inference(superposition,[status(thm)],[c_85,c_55]) ).
cnf(c_481910,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sP3_iProver_def) ),
inference(superposition,[status(thm)],[c_1260,c_52]) ).
cnf(c_481913,plain,
aNaturalNumber0(sP3_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_481910,c_90,c_85]) ).
cnf(c_482642,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sP3_iProver_def,X0) != sP2_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_1267,c_54040]) ).
cnf(c_482643,negated_conjecture,
( sdtpldt0(sP3_iProver_def,X0) != sP2_iProver_def
| ~ aNaturalNumber0(X0) ),
inference(renaming,[status(thm)],[c_482642]) ).
cnf(c_483056,plain,
sdtpldt0(xl,sK1) = sdtpldt0(sK1,xl),
inference(superposition,[status(thm)],[c_88,c_481422]) ).
cnf(c_483061,plain,
sdtpldt0(sK1,xl) = xn,
inference(light_normalisation,[status(thm)],[c_483056,c_87]) ).
cnf(c_483144,plain,
sdtpldt0(sK1,sP3_iProver_def) = sdtpldt0(sP3_iProver_def,sK1),
inference(superposition,[status(thm)],[c_481913,c_481439]) ).
cnf(c_483821,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,xl),xm) = sdtpldt0(X0,sdtpldt0(xl,xm)) ),
inference(superposition,[status(thm)],[c_90,c_481458]) ).
cnf(c_483830,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sdtpldt0(X0,xl),xm) = sdtpldt0(X0,sP3_iProver_def) ),
inference(light_normalisation,[status(thm)],[c_483821,c_1260]) ).
cnf(c_542768,plain,
sdtpldt0(sdtpldt0(sK1,xl),xm) = sdtpldt0(sK1,sP3_iProver_def),
inference(superposition,[status(thm)],[c_88,c_483830]) ).
cnf(c_542790,plain,
sdtpldt0(sP3_iProver_def,sK1) = sP2_iProver_def,
inference(light_normalisation,[status(thm)],[c_542768,c_1259,c_483061,c_483144]) ).
cnf(c_543289,plain,
~ aNaturalNumber0(sK1),
inference(superposition,[status(thm)],[c_542790,c_482643]) ).
cnf(c_543292,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_543289,c_88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : NUM461+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : run_iprover %s %d THM
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Thu May 2 19:23:31 EDT 2024
% 0.10/0.31 % 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
% 221.61/29.76 % SZS status Started for theBenchmark.p
% 221.61/29.76 % SZS status Theorem for theBenchmark.p
% 221.61/29.76
% 221.61/29.76 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 221.61/29.76
% 221.61/29.76 ------ iProver source info
% 221.61/29.76
% 221.61/29.76 git: date: 2024-05-02 19:28:25 +0000
% 221.61/29.76 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 221.61/29.76 git: non_committed_changes: false
% 221.61/29.76
% 221.61/29.76 ------ Parsing...
% 221.61/29.76 ------ Clausification by vclausify_rel & Parsing by iProver...
% 221.61/29.76
% 221.61/29.76 ------ 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
% 221.61/29.76
% 221.61/29.76 ------ Preprocessing... gs_s sp: 4 0s gs_e snvd_s sp: 0 0s snvd_e
% 221.61/29.76
% 221.61/29.76 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 221.61/29.76 ------ Proving...
% 221.61/29.76 ------ Problem Properties
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 clauses 51
% 221.61/29.76 conjectures 6
% 221.61/29.76 EPR 17
% 221.61/29.76 Horn 43
% 221.61/29.76 unary 14
% 221.61/29.76 binary 7
% 221.61/29.76 lits 150
% 221.61/29.76 lits eq 50
% 221.61/29.76 fd_pure 0
% 221.61/29.76 fd_pseudo 0
% 221.61/29.76 fd_cond 3
% 221.61/29.76 fd_pseudo_cond 5
% 221.61/29.76 AC symbols 0
% 221.61/29.76
% 221.61/29.76 ------ Schedule dynamic 5 is on
% 221.61/29.76
% 221.61/29.76 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 ------
% 221.61/29.76 Current options:
% 221.61/29.76 ------
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 ------ Proving...
% 221.61/29.76 Proof_search_loop: time out after: 8723 full_loop iterations
% 221.61/29.76
% 221.61/29.76 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 ------
% 221.61/29.76 Current options:
% 221.61/29.76 ------
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 ------ Proving...
% 221.61/29.76 Proof_search_loop: time out after: 11124 full_loop iterations
% 221.61/29.76
% 221.61/29.76 ------ Option_1: Negative Selections Time Limit: 35.
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 ------
% 221.61/29.76 Current options:
% 221.61/29.76 ------
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 ------ Proving...
% 221.61/29.76
% 221.61/29.76
% 221.61/29.76 % SZS status Theorem for theBenchmark.p
% 221.61/29.76
% 221.61/29.76 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 221.61/29.76
% 221.61/29.77
%------------------------------------------------------------------------------