TSTP Solution File: NUM463+2 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 02:49:24 EDT 2024
% Result : Theorem 10.09s 2.14s
% Output : CNFRefutation 10.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named definition)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
fof(f9,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
fof(f11,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
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/sandbox/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/sandbox/benchmark/theBenchmark.p',mMulCanc) ).
fof(f16,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtpldt0(X0,X1)
=> ( sz00 = X1
& sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroAdd) ).
fof(f17,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sz00 = sdtasdt0(X0,X1)
=> ( sz00 = X1
| sz00 = X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefLE) ).
fof(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/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEAsym) ).
fof(f22,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& sdtlseqdt0(X0,X1) )
=> sdtlseqdt0(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
fof(f23,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
fof(f25,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X2)
& X1 != X2
& sz00 != X0 )
=> ( sdtlseqdt0(sdtasdt0(X1,X0),sdtasdt0(X2,X0))
& sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
& sdtlseqdt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
& sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul) ).
fof(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLENTr) ).
fof(f27,axiom,
( aNaturalNumber0(xn)
& aNaturalNumber0(xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
fof(f28,conjecture,
( sz00 != xm
=> ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
& aNaturalNumber0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f29,negated_conjecture,
~ ( sz00 != xm
=> ( sdtlseqdt0(xn,sdtasdt0(xn,xm))
| ? [X0] :
( sdtpldt0(xn,X0) = sdtasdt0(xn,xm)
& aNaturalNumber0(X0) ) ) ),
inference(negated_conjecture,[],[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(f33,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f34,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f33]) ).
fof(f39,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f40,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f41,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f40]) ).
fof(f44,plain,
! [X0] :
( ( sdtasdt0(sz10,X0) = X0
& sdtasdt0(X0,sz10) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f11]) ).
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(f50,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(f51,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,[],[f50]) ).
fof(f52,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f53,plain,
! [X0,X1] :
( ( sz00 = X1
& sz00 = X0 )
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f52]) ).
fof(f54,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f55,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f57,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f56]) ).
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(f69,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(f70,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,[],[f69]) ).
fof(f71,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f72,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f71]) ).
fof(f73,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& ! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) )
& sz00 != xm ),
inference(ennf_transformation,[],[f29]) ).
fof(f74,plain,
( ~ sdtlseqdt0(xn,sdtasdt0(xn,xm))
& ! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) )
& sz00 != xm ),
inference(flattening,[],[f73]) ).
fof(f75,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,[],[f57]) ).
fof(f76,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,[],[f75]) ).
fof(f77,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK0(X0,X1)) = X1
& aNaturalNumber0(sK0(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f78,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])],[f76,f77]) ).
fof(f79,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(f80,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,[],[f79]) ).
fof(f81,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f82,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f84,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f85,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f88,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f89,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f90,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f92,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f93,plain,
! [X0] :
( sdtasdt0(sz10,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f49]) ).
fof(f100,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f51]) ).
fof(f102,plain,
! [X0,X1] :
( sz00 = X0
| sz00 != sdtpldt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f53]) ).
fof(f104,plain,
! [X0,X1] :
( sz00 = X1
| sz00 = X0
| sz00 != sdtasdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f55]) ).
fof(f105,plain,
! [X0,X1] :
( aNaturalNumber0(sK0(X0,X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f106,plain,
! [X0,X1] :
( sdtpldt0(X0,sK0(X0,X1)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f107,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f78]) ).
fof(f108,plain,
! [X2,X0,X1] :
( aNaturalNumber0(X2)
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f109,plain,
! [X2,X0,X1] :
( sdtpldt0(X0,X2) = X1
| sdtmndt0(X1,X0) != X2
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f112,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f113,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f115,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f66]) ).
fof(f121,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,[],[f70]) ).
fof(f123,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,[],[f70]) ).
fof(f125,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f72]) ).
fof(f126,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f27]) ).
fof(f127,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f27]) ).
fof(f128,plain,
sz00 != xm,
inference(cnf_transformation,[],[f74]) ).
fof(f129,plain,
! [X0] :
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f130,plain,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f74]) ).
fof(f131,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f107]) ).
fof(f133,plain,
! [X0,X1] :
( sdtpldt0(X0,sdtmndt0(X1,X0)) = X1
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f109]) ).
fof(f134,plain,
! [X0,X1] :
( aNaturalNumber0(sdtmndt0(X1,X0))
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f108]) ).
cnf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f81]) ).
cnf(c_51,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f82]) ).
cnf(c_52,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f84]) ).
cnf(c_53,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f85]) ).
cnf(c_56,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f89]) ).
cnf(c_57,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f88]) ).
cnf(c_58,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f90]) ).
cnf(c_60,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(sz10,X0) = X0 ),
inference(cnf_transformation,[],[f93]) ).
cnf(c_61,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz10) = X0 ),
inference(cnf_transformation,[],[f92]) ).
cnf(c_67,plain,
( sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f98]) ).
cnf(c_69,plain,
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = sz00
| X1 = X2 ),
inference(cnf_transformation,[],[f100]) ).
cnf(c_71,plain,
( sdtpldt0(X0,X1) != sz00
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = sz00 ),
inference(cnf_transformation,[],[f102]) ).
cnf(c_72,plain,
( sdtasdt0(X0,X1) != sz00
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = sz00
| X1 = sz00 ),
inference(cnf_transformation,[],[f104]) ).
cnf(c_73,plain,
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f131]) ).
cnf(c_74,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f106]) ).
cnf(c_75,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sK0(X0,X1)) ),
inference(cnf_transformation,[],[f105]) ).
cnf(c_77,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtpldt0(X0,sdtmndt0(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f133]) ).
cnf(c_78,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtmndt0(X1,X0)) ),
inference(cnf_transformation,[],[f134]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f112]) ).
cnf(c_81,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f113]) ).
cnf(c_82,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f115]) ).
cnf(c_83,plain,
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f137]) ).
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,[],[f123]) ).
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,[],[f121]) ).
cnf(c_92,plain,
( ~ aNaturalNumber0(X0)
| X0 = sz00
| X0 = sz10
| sdtlseqdt0(sz10,X0) ),
inference(cnf_transformation,[],[f125]) ).
cnf(c_93,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f127]) ).
cnf(c_94,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f126]) ).
cnf(c_95,negated_conjecture,
~ sdtlseqdt0(xn,sdtasdt0(xn,xm)),
inference(cnf_transformation,[],[f130]) ).
cnf(c_96,negated_conjecture,
( sdtpldt0(xn,X0) != sdtasdt0(xn,xm)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f129]) ).
cnf(c_97,negated_conjecture,
sz00 != xm,
inference(cnf_transformation,[],[f128]) ).
cnf(c_98,plain,
( ~ aNaturalNumber0(sz00)
| sdtlseqdt0(sz00,sz00) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_102,plain,
( ~ aNaturalNumber0(sz00)
| sdtpldt0(sz00,sz00) = sz00 ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_112,plain,
( sdtpldt0(sz00,sz00) != sz00
| ~ aNaturalNumber0(sz00)
| sz00 = sz00 ),
inference(instantiation,[status(thm)],[c_71]) ).
cnf(c_124,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_52,c_73]) ).
cnf(c_1346,plain,
sdtasdt0(xn,xm) = sP0_iProver_def,
definition ).
cnf(c_1347,negated_conjecture,
sz00 != xm,
inference(demodulation,[status(thm)],[c_97]) ).
cnf(c_1348,negated_conjecture,
( sdtpldt0(xn,X0) != sP0_iProver_def
| ~ aNaturalNumber0(X0) ),
inference(demodulation,[status(thm)],[c_96,c_1346]) ).
cnf(c_1349,negated_conjecture,
~ sdtlseqdt0(xn,sP0_iProver_def),
inference(demodulation,[status(thm)],[c_95]) ).
cnf(c_1350,plain,
X0 = X0,
theory(equality) ).
cnf(c_1352,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_1356,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_2078,plain,
sdtpldt0(xn,sz00) = xn,
inference(superposition,[status(thm)],[c_93,c_57]) ).
cnf(c_2088,plain,
( xn != sP0_iProver_def
| ~ aNaturalNumber0(sz00) ),
inference(superposition,[status(thm)],[c_2078,c_1348]) ).
cnf(c_2089,plain,
xn != sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_2088,c_49]) ).
cnf(c_2116,plain,
sdtasdt0(xn,sz10) = xn,
inference(superposition,[status(thm)],[c_93,c_61]) ).
cnf(c_2183,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_1346,c_53]) ).
cnf(c_2200,plain,
aNaturalNumber0(sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2183,c_94,c_93]) ).
cnf(c_2233,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| sdtlseqdt0(sP0_iProver_def,xn) ),
inference(superposition,[status(thm)],[c_82,c_1349]) ).
cnf(c_2237,plain,
( ~ aNaturalNumber0(sP0_iProver_def)
| sdtlseqdt0(sP0_iProver_def,xn) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2233,c_93]) ).
cnf(c_2289,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xn) = sdtasdt0(xn,X0) ),
inference(superposition,[status(thm)],[c_93,c_58]) ).
cnf(c_2290,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,xm) = sdtasdt0(xm,X0) ),
inference(superposition,[status(thm)],[c_94,c_58]) ).
cnf(c_2322,plain,
sdtasdt0(sz10,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2200,c_60]) ).
cnf(c_2324,plain,
sdtpldt0(sz00,sP0_iProver_def) = sP0_iProver_def,
inference(superposition,[status(thm)],[c_2200,c_56]) ).
cnf(c_2347,plain,
sdtlseqdt0(sP0_iProver_def,xn),
inference(global_subsumption_just,[status(thm)],[c_2237,c_2200,c_2237]) ).
cnf(c_2357,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sP0_iProver_def)
| sdtlseqdt0(sz00,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2324,c_124]) ).
cnf(c_2358,plain,
sdtlseqdt0(sz00,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_2357,c_2200,c_49]) ).
cnf(c_2396,plain,
( ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| sdtlseqdt0(xn,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_81]) ).
cnf(c_2397,plain,
( ~ sdtlseqdt0(sz00,sP0_iProver_def)
| ~ sdtlseqdt0(xn,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| sdtlseqdt0(xn,sP0_iProver_def) ),
inference(instantiation,[status(thm)],[c_2396]) ).
cnf(c_2753,plain,
( X0 != X1
| xn != X2
| ~ sdtlseqdt0(X2,X1)
| sdtlseqdt0(xn,X0) ),
inference(instantiation,[status(thm)],[c_1356]) ).
cnf(c_2754,plain,
( sz00 != sz00
| xn != sz00
| ~ sdtlseqdt0(sz00,sz00)
| sdtlseqdt0(xn,sz00) ),
inference(instantiation,[status(thm)],[c_2753]) ).
cnf(c_2829,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| sdtpldt0(sP0_iProver_def,sK0(sP0_iProver_def,xn)) = xn ),
inference(superposition,[status(thm)],[c_2347,c_74]) ).
cnf(c_2842,plain,
sdtpldt0(sP0_iProver_def,sK0(sP0_iProver_def,xn)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_2829,c_2200,c_93]) ).
cnf(c_2901,plain,
xn = xn,
inference(instantiation,[status(thm)],[c_1350]) ).
cnf(c_2903,plain,
( X0 != X1
| xn != X1
| xn = X0 ),
inference(instantiation,[status(thm)],[c_1352]) ).
cnf(c_2924,plain,
( ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| sdtpldt0(sP0_iProver_def,sdtmndt0(xn,sP0_iProver_def)) = xn ),
inference(superposition,[status(thm)],[c_2347,c_77]) ).
cnf(c_2937,plain,
sdtpldt0(sP0_iProver_def,sdtmndt0(xn,sP0_iProver_def)) = xn,
inference(forward_subsumption_resolution,[status(thm)],[c_2924,c_2200,c_93]) ).
cnf(c_3132,plain,
( sz00 != xn
| ~ aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def))
| ~ aNaturalNumber0(sP0_iProver_def)
| sz00 = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_2937,c_71]) ).
cnf(c_3136,plain,
( sz00 != xn
| ~ aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def))
| sz00 = sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_3132,c_2200]) ).
cnf(c_3545,plain,
( sz00 != sP0_iProver_def
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| sz00 = xn
| sz00 = xm ),
inference(superposition,[status(thm)],[c_1346,c_72]) ).
cnf(c_3562,plain,
( sz00 != sP0_iProver_def
| sz00 = xn ),
inference(forward_subsumption_resolution,[status(thm)],[c_3545,c_1347,c_94,c_93]) ).
cnf(c_4035,plain,
( sdtpldt0(sP0_iProver_def,X0) != xn
| ~ aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP0_iProver_def)
| sdtmndt0(xn,sP0_iProver_def) = X0 ),
inference(superposition,[status(thm)],[c_2937,c_67]) ).
cnf(c_4099,plain,
( sdtpldt0(sP0_iProver_def,X0) != xn
| ~ aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def))
| ~ aNaturalNumber0(X0)
| sdtmndt0(xn,sP0_iProver_def) = X0 ),
inference(forward_subsumption_resolution,[status(thm)],[c_4035,c_2200]) ).
cnf(c_4554,plain,
( ~ aNaturalNumber0(sK0(sP0_iProver_def,xn))
| ~ aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def))
| sK0(sP0_iProver_def,xn) = sdtmndt0(xn,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_2842,c_4099]) ).
cnf(c_4576,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def))
| ~ sdtlseqdt0(sP0_iProver_def,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| sK0(sP0_iProver_def,xn) = sdtmndt0(xn,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_75,c_4554]) ).
cnf(c_4577,plain,
( ~ aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def))
| sK0(sP0_iProver_def,xn) = sdtmndt0(xn,sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4576,c_2200,c_93,c_2347]) ).
cnf(c_4595,plain,
( ~ sdtlseqdt0(sP0_iProver_def,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| sK0(sP0_iProver_def,xn) = sdtmndt0(xn,sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_78,c_4577]) ).
cnf(c_4596,plain,
sK0(sP0_iProver_def,xn) = sdtmndt0(xn,sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_4595,c_2200,c_93,c_2347]) ).
cnf(c_4601,plain,
( ~ sdtlseqdt0(sP0_iProver_def,xn)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def)) ),
inference(superposition,[status(thm)],[c_4596,c_75]) ).
cnf(c_4602,plain,
aNaturalNumber0(sdtmndt0(xn,sP0_iProver_def)),
inference(forward_subsumption_resolution,[status(thm)],[c_4601,c_2200,c_93,c_2347]) ).
cnf(c_4606,plain,
( sz00 != xn
| sz00 = sP0_iProver_def ),
inference(backward_subsumption_resolution,[status(thm)],[c_3136,c_4602]) ).
cnf(c_5470,plain,
( X0 != xn
| xn != xn
| xn = X0 ),
inference(instantiation,[status(thm)],[c_2903]) ).
cnf(c_5471,plain,
( sz00 != xn
| xn != xn
| xn = sz00 ),
inference(instantiation,[status(thm)],[c_5470]) ).
cnf(c_6430,plain,
sz00 != xn,
inference(global_subsumption_just,[status(thm)],[c_4606,c_93,c_49,c_98,c_102,c_112,c_1349,c_2200,c_2358,c_2397,c_2754,c_2901,c_5471]) ).
cnf(c_6432,plain,
sz00 != sP0_iProver_def,
inference(backward_subsumption_resolution,[status(thm)],[c_3562,c_6430]) ).
cnf(c_17736,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference(superposition,[status(thm)],[c_94,c_2289]) ).
cnf(c_17749,plain,
sdtasdt0(xm,xn) = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_17736,c_1346]) ).
cnf(c_17910,plain,
( sdtasdt0(xm,X0) != sP0_iProver_def
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| X0 = xn
| sz00 = xm ),
inference(superposition,[status(thm)],[c_17749,c_69]) ).
cnf(c_17911,plain,
( ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(xm)
| X0 = xn
| sz00 = xm
| sdtlseqdt0(sdtasdt0(xm,X0),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_17749,c_90]) ).
cnf(c_17942,plain,
( sdtasdt0(xm,X0) != sP0_iProver_def
| ~ aNaturalNumber0(X0)
| X0 = xn ),
inference(forward_subsumption_resolution,[status(thm)],[c_17910,c_1347,c_94,c_93]) ).
cnf(c_17954,plain,
( ~ sdtlseqdt0(X0,xn)
| ~ aNaturalNumber0(X0)
| X0 = xn
| sdtlseqdt0(sdtasdt0(xm,X0),sP0_iProver_def) ),
inference(forward_subsumption_resolution,[status(thm)],[c_17911,c_1347,c_94,c_93]) ).
cnf(c_18452,plain,
sdtasdt0(xm,sP0_iProver_def) = sdtasdt0(sP0_iProver_def,xm),
inference(superposition,[status(thm)],[c_2200,c_2290]) ).
cnf(c_19063,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sP0_iProver_def)
| aNaturalNumber0(sdtasdt0(sP0_iProver_def,xm)) ),
inference(superposition,[status(thm)],[c_18452,c_53]) ).
cnf(c_19064,plain,
( ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sP0_iProver_def)
| X0 = xm
| sz00 = sP0_iProver_def
| sdtlseqdt0(sdtasdt0(X0,sP0_iProver_def),sdtasdt0(sP0_iProver_def,xm)) ),
inference(superposition,[status(thm)],[c_18452,c_88]) ).
cnf(c_19065,plain,
( ~ sdtlseqdt0(sP0_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sP0_iProver_def)
| X0 = sP0_iProver_def
| sz00 = xm
| sdtlseqdt0(sdtasdt0(sP0_iProver_def,xm),sdtasdt0(xm,X0)) ),
inference(superposition,[status(thm)],[c_18452,c_90]) ).
cnf(c_19067,plain,
( sdtasdt0(xm,X0) != sdtasdt0(sP0_iProver_def,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sP0_iProver_def)
| X0 = sP0_iProver_def
| sz00 = xm ),
inference(superposition,[status(thm)],[c_18452,c_69]) ).
cnf(c_19068,plain,
( ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(sP0_iProver_def)
| X0 = sP0_iProver_def
| sz00 = xm
| sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(sP0_iProver_def,xm)) ),
inference(superposition,[status(thm)],[c_18452,c_90]) ).
cnf(c_19072,plain,
( ~ sdtlseqdt0(sP0_iProver_def,xn)
| ~ aNaturalNumber0(sP0_iProver_def)
| xn = sP0_iProver_def
| sdtlseqdt0(sdtasdt0(sP0_iProver_def,xm),sP0_iProver_def) ),
inference(superposition,[status(thm)],[c_18452,c_17954]) ).
cnf(c_19073,plain,
( sdtasdt0(sP0_iProver_def,xm) != sP0_iProver_def
| ~ aNaturalNumber0(sP0_iProver_def)
| xn = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_18452,c_17942]) ).
cnf(c_19085,plain,
aNaturalNumber0(sdtasdt0(sP0_iProver_def,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_19063,c_2200,c_94]) ).
cnf(c_19090,plain,
sdtasdt0(sP0_iProver_def,xm) != sP0_iProver_def,
inference(forward_subsumption_resolution,[status(thm)],[c_19073,c_2089,c_2200]) ).
cnf(c_19099,plain,
sdtlseqdt0(sdtasdt0(sP0_iProver_def,xm),sP0_iProver_def),
inference(forward_subsumption_resolution,[status(thm)],[c_19072,c_2089,c_2200,c_2347]) ).
cnf(c_19122,plain,
( sdtasdt0(xm,X0) != sdtasdt0(sP0_iProver_def,xm)
| ~ aNaturalNumber0(X0)
| X0 = sP0_iProver_def ),
inference(forward_subsumption_resolution,[status(thm)],[c_19067,c_1347,c_2200,c_94]) ).
cnf(c_19144,plain,
( ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ aNaturalNumber0(X0)
| X0 = sP0_iProver_def
| sdtlseqdt0(sdtasdt0(xm,X0),sdtasdt0(sP0_iProver_def,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19068,c_1347,c_2200,c_94]) ).
cnf(c_19154,plain,
( ~ sdtlseqdt0(sP0_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| X0 = sP0_iProver_def
| sdtlseqdt0(sdtasdt0(sP0_iProver_def,xm),sdtasdt0(xm,X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19065,c_1347,c_2200,c_94]) ).
cnf(c_19159,plain,
( ~ sdtlseqdt0(X0,xm)
| ~ aNaturalNumber0(X0)
| X0 = xm
| sdtlseqdt0(sdtasdt0(X0,sP0_iProver_def),sdtasdt0(sP0_iProver_def,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19064,c_6432,c_2200,c_94]) ).
cnf(c_19251,plain,
( ~ sdtlseqdt0(sdtasdt0(sP0_iProver_def,xm),sdtasdt0(xm,X0))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ aNaturalNumber0(sdtasdt0(sP0_iProver_def,xm))
| ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xm,X0) = sdtasdt0(sP0_iProver_def,xm)
| X0 = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_19144,c_80]) ).
cnf(c_20294,plain,
( ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ sdtlseqdt0(sP0_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sP0_iProver_def)
| X0 = sP0_iProver_def ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_21152,plain,
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ sdtlseqdt0(sdtasdt0(sP0_iProver_def,xm),sdtasdt0(xm,X0))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| X0 = sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_19251,c_19085,c_19122,c_19251]) ).
cnf(c_21153,plain,
( ~ sdtlseqdt0(sdtasdt0(sP0_iProver_def,xm),sdtasdt0(xm,X0))
| ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ aNaturalNumber0(X0)
| X0 = sP0_iProver_def ),
inference(renaming,[status(thm)],[c_21152]) ).
cnf(c_21170,plain,
( ~ aNaturalNumber0(sdtasdt0(xm,X0))
| ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ sdtlseqdt0(sP0_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| X0 = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_19154,c_21153]) ).
cnf(c_21264,plain,
( ~ sdtlseqdt0(X0,sP0_iProver_def)
| ~ sdtlseqdt0(sP0_iProver_def,X0)
| ~ aNaturalNumber0(X0)
| X0 = sP0_iProver_def ),
inference(global_subsumption_just,[status(thm)],[c_21170,c_2200,c_20294]) ).
cnf(c_21293,plain,
( ~ sdtlseqdt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,xm))
| ~ aNaturalNumber0(sdtasdt0(sP0_iProver_def,xm))
| sdtasdt0(sP0_iProver_def,xm) = sP0_iProver_def ),
inference(superposition,[status(thm)],[c_19099,c_21264]) ).
cnf(c_21295,plain,
~ sdtlseqdt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_21293,c_19090,c_19085]) ).
cnf(c_23342,plain,
( ~ sdtlseqdt0(sz10,xm)
| ~ aNaturalNumber0(sz10)
| sz10 = xm
| sdtlseqdt0(sP0_iProver_def,sdtasdt0(sP0_iProver_def,xm)) ),
inference(superposition,[status(thm)],[c_2322,c_19159]) ).
cnf(c_23352,plain,
( ~ sdtlseqdt0(sz10,xm)
| sz10 = xm ),
inference(forward_subsumption_resolution,[status(thm)],[c_23342,c_21295,c_51]) ).
cnf(c_23859,plain,
( ~ aNaturalNumber0(xm)
| sz00 = xm
| sz10 = xm ),
inference(superposition,[status(thm)],[c_92,c_23352]) ).
cnf(c_23861,plain,
sz10 = xm,
inference(forward_subsumption_resolution,[status(thm)],[c_23859,c_1347,c_94]) ).
cnf(c_24014,plain,
sdtasdt0(xn,sz10) = sP0_iProver_def,
inference(demodulation,[status(thm)],[c_1346,c_23861]) ).
cnf(c_24017,plain,
xn = sP0_iProver_def,
inference(light_normalisation,[status(thm)],[c_24014,c_2116]) ).
cnf(c_24018,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_24017,c_2089]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM463+2 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.12 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Thu May 2 19:33:26 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.17/0.45 Running first-order theorem proving
% 0.17/0.45 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 10.09/2.14 % SZS status Started for theBenchmark.p
% 10.09/2.14 % SZS status Theorem for theBenchmark.p
% 10.09/2.14
% 10.09/2.14 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 10.09/2.14
% 10.09/2.14 ------ iProver source info
% 10.09/2.14
% 10.09/2.14 git: date: 2024-05-02 19:28:25 +0000
% 10.09/2.14 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 10.09/2.14 git: non_committed_changes: false
% 10.09/2.14
% 10.09/2.14 ------ Parsing...
% 10.09/2.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 10.09/2.14
% 10.09/2.14 ------ 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
% 10.09/2.14
% 10.09/2.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 10.09/2.14
% 10.09/2.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 10.09/2.14 ------ Proving...
% 10.09/2.14 ------ Problem Properties
% 10.09/2.14
% 10.09/2.14
% 10.09/2.14 clauses 45
% 10.09/2.14 conjectures 3
% 10.09/2.14 EPR 12
% 10.09/2.14 Horn 36
% 10.09/2.14 unary 8
% 10.09/2.14 binary 8
% 10.09/2.14 lits 154
% 10.09/2.14 lits eq 45
% 10.09/2.14 fd_pure 0
% 10.09/2.14 fd_pseudo 0
% 10.09/2.14 fd_cond 4
% 10.09/2.14 fd_pseudo_cond 9
% 10.09/2.14 AC symbols 0
% 10.09/2.14
% 10.09/2.14 ------ Schedule dynamic 5 is on
% 10.09/2.14
% 10.09/2.14 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 10.09/2.14
% 10.09/2.14
% 10.09/2.14 ------
% 10.09/2.14 Current options:
% 10.09/2.14 ------
% 10.09/2.14
% 10.09/2.14
% 10.09/2.14
% 10.09/2.14
% 10.09/2.14 ------ Proving...
% 10.09/2.14
% 10.09/2.14
% 10.09/2.14 % SZS status Theorem for theBenchmark.p
% 10.09/2.14
% 10.09/2.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 10.09/2.14
% 10.09/2.14
%------------------------------------------------------------------------------