TSTP Solution File: NUM503+3 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 02:49:37 EDT 2024
% Result : Theorem 28.17s 4.65s
% Output : CNFRefutation 28.17s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f328)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC) ).
fof(f3,axiom,
( sz00 != sz10
& aNaturalNumber0(sz10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsC_01) ).
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
fof(f5,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
fof(f8,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_AddZero) ).
fof(f12,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m_MulZero) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( sz00 != X0
=> ! [X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1) )
=> ( ( sdtasdt0(X1,X0) = sdtasdt0(X2,X0)
| sdtasdt0(X0,X1) = sdtasdt0(X0,X2) )
=> X1 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulCanc) ).
fof(f18,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefLE) ).
fof(f21,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X1,X0)
& sdtlseqdt0(X0,X1) )
=> X0 = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLEAsym) ).
fof(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(f26,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLENTr) ).
fof(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIH_03) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1837) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( sdtasdt0(X0,X1) = xp
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xp = X0
| sz10 = X0 ) )
& sz10 != xp
& sz00 != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1860) ).
fof(f43,axiom,
~ ( sdtlseqdt0(xp,xm)
| ? [X0] :
( xm = sdtpldt0(xp,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2075) ).
fof(f44,axiom,
( sdtlseqdt0(xm,xp)
& ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X0] :
( xp = sdtpldt0(xn,X0)
& aNaturalNumber0(X0) )
& xn != xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2287) ).
fof(f45,axiom,
( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
& sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
& aNaturalNumber0(xk) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2306) ).
fof(f47,axiom,
( sz10 != xk
& sz00 != xk ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2327) ).
fof(f48,axiom,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( sdtasdt0(X0,X1) = xr
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xr = X0
| sz10 = X0 ) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2342) ).
fof(f49,axiom,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X0] :
( xk = sdtpldt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2362) ).
fof(f50,axiom,
( sdtlseqdt0(xp,xk)
& ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2389) ).
fof(f51,conjecture,
( ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ? [X0] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f52,negated_conjecture,
~ ( ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ? [X0] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(negated_conjecture,[],[f51]) ).
fof(f56,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( ( ( doDivides0(X1,xp)
| ? [X2] :
( sdtasdt0(X1,X2) = xp
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( xp = X1
| sz10 = X1 ) )
& sz10 != xp
& sz00 != xp ),
inference(rectify,[],[f41]) ).
fof(f57,plain,
( sdtlseqdt0(xm,xp)
& ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
& xm != xp
& sdtlseqdt0(xn,xp)
& ? [X1] :
( xp = sdtpldt0(xn,X1)
& aNaturalNumber0(X1) )
& xn != xp ),
inference(rectify,[],[f44]) ).
fof(f58,plain,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( sdtasdt0(X0,X1) = xr
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( xr = X0
| sz10 = X0 ) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(rectify,[],[f48]) ).
fof(f59,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& ? [X1] :
( xk = sdtpldt0(xr,X1)
& aNaturalNumber0(X1) ) ),
inference(rectify,[],[f49]) ).
fof(f60,plain,
~ ( ( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ? [X0] :
( sdtasdt0(xp,xk) = sdtpldt0(sdtasdt0(xp,xm),X0)
& aNaturalNumber0(X0) ) )
& sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
& ( sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ? [X1] :
( sdtasdt0(xp,xm) = sdtpldt0(sdtasdt0(xn,xm),X1)
& aNaturalNumber0(X1) ) )
& sdtasdt0(xn,xm) != sdtasdt0(xp,xm) ),
inference(rectify,[],[f52]) ).
fof(f61,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f62,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f64,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f63]) ).
fof(f69,plain,
! [X0] :
( ( sdtpldt0(sz00,X0) = X0
& sdtpldt0(X0,sz00) = X0 )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f75,plain,
! [X0] :
( ( sz00 = sdtasdt0(sz00,X0)
& sz00 = sdtasdt0(X0,sz00) )
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f80,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(f81,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,[],[f80]) ).
fof(f86,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f87,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> ? [X2] :
( sdtpldt0(X0,X2) = X1
& aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f86]) ).
fof(f91,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f92,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f94,plain,
! [X0,X1,X2] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f96,plain,
! [X0,X1] :
( ( sdtlseqdt0(X1,X0)
& X0 != X1 )
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f95]) ).
fof(f99,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(f100,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,[],[f99]) ).
fof(f101,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f102,plain,
! [X0] :
( ( sdtlseqdt0(sz10,X0)
& sz10 != X0 )
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f101]) ).
fof(f105,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f106,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(flattening,[],[f105]) ).
fof(f127,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(ennf_transformation,[],[f56]) ).
fof(f128,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(flattening,[],[f127]) ).
fof(f130,plain,
( ~ sdtlseqdt0(xp,xm)
& ! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f43]) ).
fof(f132,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(ennf_transformation,[],[f58]) ).
fof(f133,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
& aNaturalNumber0(xr) ),
inference(flattening,[],[f132]) ).
fof(f134,plain,
( ( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
& ! [X0] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0) ) )
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
& ! [X1] :
( sdtasdt0(xp,xm) != sdtpldt0(sdtasdt0(xn,xm),X1)
| ~ aNaturalNumber0(X1) ) )
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(ennf_transformation,[],[f60]) ).
fof(f138,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,[],[f87]) ).
fof(f139,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,[],[f138]) ).
fof(f140,plain,
! [X0,X1] :
( ? [X3] :
( sdtpldt0(X0,X3) = X1
& aNaturalNumber0(X3) )
=> ( sdtpldt0(X0,sK2(X0,X1)) = X1
& aNaturalNumber0(sK2(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f141,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ! [X2] :
( sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2) ) )
& ( ( sdtpldt0(X0,sK2(X0,X1)) = X1
& aNaturalNumber0(sK2(X0,X1)) )
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f139,f140]) ).
fof(f169,plain,
( ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
& aNaturalNumber0(sK10) ) ),
introduced(choice_axiom,[]) ).
fof(f170,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
& aNaturalNumber0(sK10)
& isPrime0(xp)
& ! [X1] :
( xp = X1
| sz10 = X1
| ( ~ doDivides0(X1,xp)
& ! [X2] :
( sdtasdt0(X1,X2) != xp
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1) )
& sz10 != xp
& sz00 != xp ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f128,f169]) ).
fof(f171,plain,
( ? [X0] :
( xp = sdtpldt0(xm,X0)
& aNaturalNumber0(X0) )
=> ( xp = sdtpldt0(xm,sK11)
& aNaturalNumber0(sK11) ) ),
introduced(choice_axiom,[]) ).
fof(f172,plain,
( ? [X1] :
( xp = sdtpldt0(xn,X1)
& aNaturalNumber0(X1) )
=> ( xp = sdtpldt0(xn,sK12)
& aNaturalNumber0(sK12) ) ),
introduced(choice_axiom,[]) ).
fof(f173,plain,
( sdtlseqdt0(xm,xp)
& xp = sdtpldt0(xm,sK11)
& aNaturalNumber0(sK11)
& xm != xp
& sdtlseqdt0(xn,xp)
& xp = sdtpldt0(xn,sK12)
& aNaturalNumber0(sK12)
& xn != xp ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11,sK12])],[f57,f172,f171]) ).
fof(f174,plain,
( ? [X2] :
( xk = sdtasdt0(xr,X2)
& aNaturalNumber0(X2) )
=> ( xk = sdtasdt0(xr,sK13)
& aNaturalNumber0(sK13) ) ),
introduced(choice_axiom,[]) ).
fof(f175,plain,
( isPrime0(xr)
& ! [X0] :
( xr = X0
| sz10 = X0
| ( ~ doDivides0(X0,xr)
& ! [X1] :
( sdtasdt0(X0,X1) != xr
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0) )
& sz10 != xr
& sz00 != xr
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK13)
& aNaturalNumber0(sK13)
& aNaturalNumber0(xr) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f133,f174]) ).
fof(f176,plain,
( ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
=> ( sdtasdt0(xn,xm) = sdtasdt0(xr,sK14)
& aNaturalNumber0(sK14) ) ),
introduced(choice_axiom,[]) ).
fof(f177,plain,
( ? [X1] :
( xk = sdtpldt0(xr,X1)
& aNaturalNumber0(X1) )
=> ( xk = sdtpldt0(xr,sK15)
& aNaturalNumber0(sK15) ) ),
introduced(choice_axiom,[]) ).
fof(f178,plain,
( doDivides0(xr,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xr,sK14)
& aNaturalNumber0(sK14)
& xk = sdtpldt0(xr,sK15)
& aNaturalNumber0(sK15) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15])],[f59,f177,f176]) ).
fof(f179,plain,
( ? [X0] :
( sdtpldt0(xp,X0) = xk
& aNaturalNumber0(X0) )
=> ( xk = sdtpldt0(xp,sK16)
& aNaturalNumber0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
( sdtlseqdt0(xp,xk)
& xk = sdtpldt0(xp,sK16)
& aNaturalNumber0(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f50,f179]) ).
fof(f181,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f182,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f3]) ).
fof(f183,plain,
sz00 != sz10,
inference(cnf_transformation,[],[f3]) ).
fof(f184,plain,
! [X0,X1] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f62]) ).
fof(f185,plain,
! [X0,X1] :
( aNaturalNumber0(sdtasdt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f188,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f189,plain,
! [X0] :
( sdtpldt0(sz00,X0) = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f69]) ).
fof(f194,plain,
! [X0] :
( sz00 = sdtasdt0(X0,sz00)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f200,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f201,plain,
! [X2,X0,X1] :
( X1 = X2
| sdtasdt0(X1,X0) != sdtasdt0(X2,X0)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f207,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X1)
| sdtpldt0(X0,X2) != X1
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f212,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f213,plain,
! [X2,X0,X1] :
( sdtlseqdt0(X0,X2)
| ~ sdtlseqdt0(X1,X2)
| ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f215,plain,
! [X0,X1] :
( sdtlseqdt0(X1,X0)
| sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f96]) ).
fof(f221,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,[],[f100]) ).
fof(f223,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,[],[f100]) ).
fof(f225,plain,
! [X0] :
( sdtlseqdt0(sz10,X0)
| sz10 = X0
| sz00 = X0
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f227,plain,
! [X0,X1] :
( iLess0(X0,X1)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f249,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f250,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f251,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f268,plain,
sz00 != xp,
inference(cnf_transformation,[],[f170]) ).
fof(f278,plain,
! [X0] :
( xm != sdtpldt0(xp,X0)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f280,plain,
xn != xp,
inference(cnf_transformation,[],[f173]) ).
fof(f283,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f173]) ).
fof(f284,plain,
xm != xp,
inference(cnf_transformation,[],[f173]) ).
fof(f287,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f173]) ).
fof(f288,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f45]) ).
fof(f289,plain,
sdtasdt0(xn,xm) = sdtasdt0(xp,xk),
inference(cnf_transformation,[],[f45]) ).
fof(f293,plain,
sz00 != xk,
inference(cnf_transformation,[],[f47]) ).
fof(f295,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f175]) ).
fof(f306,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f178]) ).
fof(f307,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK14),
inference(cnf_transformation,[],[f178]) ).
fof(f309,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f180]) ).
fof(f310,plain,
xk = sdtpldt0(xp,sK16),
inference(cnf_transformation,[],[f180]) ).
fof(f311,plain,
sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f180]) ).
fof(f312,plain,
! [X0,X1] :
( sdtasdt0(xp,xk) != sdtpldt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| sdtasdt0(xp,xm) != sdtpldt0(sdtasdt0(xn,xm),X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f134]) ).
fof(f314,plain,
! [X1] :
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| sdtasdt0(xp,xm) != sdtpldt0(sdtasdt0(xn,xm),X1)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f134]) ).
fof(f315,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xk) = sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xn,xm) = sdtasdt0(xp,xm) ),
inference(cnf_transformation,[],[f134]) ).
fof(f316,plain,
! [X2,X0] :
( sdtlseqdt0(X0,sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(sdtpldt0(X0,X2))
| ~ aNaturalNumber0(X0) ),
inference(equality_resolution,[],[f207]) ).
cnf(c_49,plain,
aNaturalNumber0(sz00),
inference(cnf_transformation,[],[f181]) ).
cnf(c_50,negated_conjecture,
sz00 != sz10,
inference(cnf_transformation,[],[f183]) ).
cnf(c_51,plain,
aNaturalNumber0(sz10),
inference(cnf_transformation,[],[f182]) ).
cnf(c_52,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f184]) ).
cnf(c_53,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f185]) ).
cnf(c_56,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f189]) ).
cnf(c_57,plain,
( ~ aNaturalNumber0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f188]) ).
cnf(c_63,plain,
( ~ aNaturalNumber0(X0)
| sdtasdt0(X0,sz00) = sz00 ),
inference(cnf_transformation,[],[f194]) ).
cnf(c_68,plain,
( sdtasdt0(X0,X1) != sdtasdt0(X2,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = X2
| X1 = sz00 ),
inference(cnf_transformation,[],[f201]) ).
cnf(c_69,plain,
( sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| X0 = sz00
| X1 = X2 ),
inference(cnf_transformation,[],[f200]) ).
cnf(c_73,plain,
( ~ aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f316]) ).
cnf(c_80,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f212]) ).
cnf(c_81,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X2)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtlseqdt0(X0,X2) ),
inference(cnf_transformation,[],[f213]) ).
cnf(c_82,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,X1)
| sdtlseqdt0(X1,X0) ),
inference(cnf_transformation,[],[f215]) ).
cnf(c_83,plain,
( ~ aNaturalNumber0(X0)
| sdtlseqdt0(X0,X0) ),
inference(cnf_transformation,[],[f328]) ).
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,[],[f223]) ).
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,[],[f221]) ).
cnf(c_92,plain,
( ~ aNaturalNumber0(X0)
| X0 = sz00
| X0 = sz10
| sdtlseqdt0(sz10,X0) ),
inference(cnf_transformation,[],[f225]) ).
cnf(c_94,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f227]) ).
cnf(c_116,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f251]) ).
cnf(c_117,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f250]) ).
cnf(c_118,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f249]) ).
cnf(c_142,negated_conjecture,
sz00 != xp,
inference(cnf_transformation,[],[f268]) ).
cnf(c_146,negated_conjecture,
( sdtpldt0(xp,X0) != xm
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f278]) ).
cnf(c_147,plain,
sdtlseqdt0(xm,xp),
inference(cnf_transformation,[],[f287]) ).
cnf(c_150,negated_conjecture,
xp != xm,
inference(cnf_transformation,[],[f284]) ).
cnf(c_151,plain,
sdtlseqdt0(xn,xp),
inference(cnf_transformation,[],[f283]) ).
cnf(c_154,negated_conjecture,
xp != xn,
inference(cnf_transformation,[],[f280]) ).
cnf(c_156,plain,
sdtasdt0(xp,xk) = sdtasdt0(xn,xm),
inference(cnf_transformation,[],[f289]) ).
cnf(c_157,plain,
aNaturalNumber0(xk),
inference(cnf_transformation,[],[f288]) ).
cnf(c_161,negated_conjecture,
sz00 != xk,
inference(cnf_transformation,[],[f293]) ).
cnf(c_170,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f295]) ).
cnf(c_172,plain,
sdtasdt0(xn,xm) = sdtasdt0(xr,sK14),
inference(cnf_transformation,[],[f307]) ).
cnf(c_173,plain,
aNaturalNumber0(sK14),
inference(cnf_transformation,[],[f306]) ).
cnf(c_176,plain,
sdtlseqdt0(xp,xk),
inference(cnf_transformation,[],[f311]) ).
cnf(c_177,plain,
sdtpldt0(xp,sK16) = xk,
inference(cnf_transformation,[],[f310]) ).
cnf(c_178,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f309]) ).
cnf(c_179,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_180,negated_conjecture,
( sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_182,negated_conjecture,
( sdtpldt0(sdtasdt0(xp,xm),X1) != sdtasdt0(xp,xk)
| sdtpldt0(sdtasdt0(xn,xm),X0) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(cnf_transformation,[],[f312]) ).
cnf(c_184,plain,
( ~ aNaturalNumber0(xp)
| sdtlseqdt0(xp,xp) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_187,plain,
( ~ aNaturalNumber0(xp)
| sdtasdt0(xp,sz00) = sz00 ),
inference(instantiation,[status(thm)],[c_63]) ).
cnf(c_221,plain,
( ~ sdtlseqdt0(xp,xp)
| ~ aNaturalNumber0(xp)
| xp = xp ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_259,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtlseqdt0(X0,sdtpldt0(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_73,c_52,c_73]) ).
cnf(c_320,plain,
X0 = X0,
theory(equality) ).
cnf(c_322,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_323,plain,
( X0 != X1
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(X0) ),
theory(equality) ).
cnf(c_325,plain,
( X0 != X1
| X2 != X3
| sdtasdt0(X0,X2) = sdtasdt0(X1,X3) ),
theory(equality) ).
cnf(c_326,plain,
( X0 != X1
| X2 != X3
| ~ sdtlseqdt0(X1,X3)
| sdtlseqdt0(X0,X2) ),
theory(equality) ).
cnf(c_377,plain,
( sz00 != X0
| xp != X0
| sz00 = xp ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_382,plain,
( xp != X0
| xm != X0
| xp = xm ),
inference(instantiation,[status(thm)],[c_322]) ).
cnf(c_383,plain,
( xp != xp
| xm != xp
| xp = xm ),
inference(instantiation,[status(thm)],[c_382]) ).
cnf(c_415,plain,
( sdtasdt0(xp,xm) != X0
| sdtasdt0(xp,xk) != X1
| ~ sdtlseqdt0(X0,X1)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_326]) ).
cnf(c_417,plain,
( sdtasdt0(xp,xm) != X0
| sdtasdt0(xn,xm) != X1
| ~ sdtlseqdt0(X1,X0)
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_326]) ).
cnf(c_429,plain,
( ~ sdtlseqdt0(sz00,sz10)
| ~ sdtlseqdt0(sz10,sz00)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| sz00 = sz10 ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_458,plain,
( xm != xk
| ~ aNaturalNumber0(sK16) ),
inference(superposition,[status(thm)],[c_177,c_146]) ).
cnf(c_543,plain,
sdtpldt0(sz00,sz10) = sz10,
inference(superposition,[status(thm)],[c_51,c_56]) ).
cnf(c_551,plain,
sdtpldt0(sz00,xk) = xk,
inference(superposition,[status(thm)],[c_157,c_56]) ).
cnf(c_840,plain,
( sz00 != sz00
| xp != sz00
| sz00 = xp ),
inference(instantiation,[status(thm)],[c_377]) ).
cnf(c_861,plain,
( ~ aNaturalNumber0(sz00)
| sz00 = sz00
| sz00 = sz10
| sdtlseqdt0(sz10,sz00) ),
inference(instantiation,[status(thm)],[c_92]) ).
cnf(c_903,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| aNaturalNumber0(sdtasdt0(xp,xk)) ),
inference(superposition,[status(thm)],[c_156,c_53]) ).
cnf(c_906,plain,
( ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(sK14)
| aNaturalNumber0(sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_172,c_53]) ).
cnf(c_970,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(sz10)
| sdtlseqdt0(sz00,sz10) ),
inference(superposition,[status(thm)],[c_543,c_259]) ).
cnf(c_976,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| sdtlseqdt0(sz00,xk) ),
inference(superposition,[status(thm)],[c_551,c_259]) ).
cnf(c_1024,plain,
( ~ sdtlseqdt0(X0,xk)
| ~ sdtlseqdt0(xk,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xk)
| xk = X0 ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_1027,plain,
( ~ sdtlseqdt0(xp,xk)
| ~ sdtlseqdt0(xk,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| xk = xp ),
inference(instantiation,[status(thm)],[c_1024]) ).
cnf(c_1707,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| aNaturalNumber0(sdtasdt0(X0,sz00)) ),
inference(resolution,[status(thm)],[c_323,c_63]) ).
cnf(c_1708,plain,
( ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xp,sz00)) ),
inference(instantiation,[status(thm)],[c_1707]) ).
cnf(c_2645,plain,
( X0 != X1
| ~ aNaturalNumber0(X1)
| sdtpldt0(X1,sz00) = X0 ),
inference(resolution,[status(thm)],[c_322,c_57]) ).
cnf(c_2675,plain,
( X0 != sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = X0 ),
inference(resolution,[status(thm)],[c_322,c_179]) ).
cnf(c_2769,plain,
( ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| aNaturalNumber0(sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_53]) ).
cnf(c_2902,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xm)
| sdtasdt0(xp,xk) != X0
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_415]) ).
cnf(c_2903,plain,
sdtasdt0(xp,xm) = sdtasdt0(xp,xm),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_3015,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ),
inference(resolution,[status(thm)],[c_2675,c_156]) ).
cnf(c_3063,plain,
( X0 != sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = X0 ),
inference(resolution,[status(thm)],[c_3015,c_322]) ).
cnf(c_3081,plain,
( X0 != sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xp,xm) = X0
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c_3063,c_82]) ).
cnf(c_3201,plain,
( X0 != sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = X0
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_3081,c_173,c_170,c_117,c_116,c_906,c_2769,c_3081]) ).
cnf(c_3228,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c_3201,c_320]) ).
cnf(c_3481,plain,
( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X1),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xn,xm),X1))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm)
| iLess0(sdtpldt0(sdtasdt0(xn,xm),X1),sdtasdt0(xp,xm)) ),
inference(resolution,[status(thm)],[c_94,c_182]) ).
cnf(c_3733,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(global_subsumption_just,[status(thm)],[c_179,c_3015]) ).
cnf(c_3734,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ),
inference(renaming,[status(thm)],[c_3733]) ).
cnf(c_3946,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(superposition,[status(thm)],[c_82,c_3734]) ).
cnf(c_3982,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_3946,c_3228]) ).
cnf(c_3984,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82,c_3982]) ).
cnf(c_3986,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_3984,c_118,c_117,c_116,c_903,c_2769,c_3984]) ).
cnf(c_4717,plain,
( sdtasdt0(X0,sz00) != sdtasdt0(X0,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| X0 = sz00
| sz00 = xk ),
inference(instantiation,[status(thm)],[c_69]) ).
cnf(c_4718,plain,
( sdtasdt0(xp,sz00) != sdtasdt0(xp,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| xp = sz00 ),
inference(instantiation,[status(thm)],[c_4717]) ).
cnf(c_5055,plain,
( ~ sdtlseqdt0(sz00,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xk)
| X0 = sz00
| sz00 = xk
| sdtlseqdt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xk)) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_5056,plain,
( ~ sdtlseqdt0(sz00,xk)
| ~ aNaturalNumber0(sz00)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xk)
| sz00 = xk
| xp = sz00
| sdtlseqdt0(sdtasdt0(xp,sz00),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_5055]) ).
cnf(c_5072,plain,
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(xm)
| X1 = sz00
| xm = X0
| sdtlseqdt0(sdtasdt0(X1,xm),sdtasdt0(X1,X0)) ),
inference(instantiation,[status(thm)],[c_90]) ).
cnf(c_5073,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| xp = sz00
| xm = xp
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xp)) ),
inference(instantiation,[status(thm)],[c_5072]) ).
cnf(c_5353,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xn,xm),X1))
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X1),sdtasdt0(xp,xm))
| sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm)
| iLess0(sdtpldt0(sdtasdt0(xn,xm),X1),sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_3481,c_117,c_116,c_2769,c_3481]) ).
cnf(c_5354,plain,
( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X1),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xn,xm),X1))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm)
| iLess0(sdtpldt0(sdtasdt0(xn,xm),X1),sdtasdt0(xp,xm)) ),
inference(renaming,[status(thm)],[c_5353]) ).
cnf(c_6001,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_3986,c_81]) ).
cnf(c_6220,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(global_subsumption_just,[status(thm)],[c_6001,c_118,c_117,c_116,c_903,c_2769,c_6001]) ).
cnf(c_6223,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_156,c_6220]) ).
cnf(c_6323,plain,
( ~ sdtlseqdt0(sdtasdt0(X0,sz00),sdtasdt0(X0,xk))
| ~ sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(sdtasdt0(X0,sz00))
| ~ aNaturalNumber0(sdtasdt0(X0,xk))
| sdtasdt0(X0,sz00) = sdtasdt0(X0,xk) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_6326,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sz00),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,sz00))
| ~ aNaturalNumber0(sdtasdt0(xp,sz00))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| sdtasdt0(xp,sz00) = sdtasdt0(xp,xk) ),
inference(instantiation,[status(thm)],[c_6323]) ).
cnf(c_6347,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xk) = X0
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| iLess0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_6223,c_94]) ).
cnf(c_7271,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
| sdtasdt0(xp,xk) != X0
| ~ sdtlseqdt0(sdtasdt0(xp,xk),X0)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_415]) ).
cnf(c_8596,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(global_subsumption_just,[status(thm)],[c_179,c_3015]) ).
cnf(c_8597,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ),
inference(renaming,[status(thm)],[c_8596]) ).
cnf(c_12920,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| xp = sz00
| xm = xk ),
inference(resolution,[status(thm)],[c_69,c_3015]) ).
cnf(c_12921,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| xp = sz00
| xm = xk
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c_69,c_3228]) ).
cnf(c_12993,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(global_subsumption_just,[status(thm)],[c_12920,c_178,c_157,c_117,c_116,c_51,c_49,c_142,c_50,c_429,c_458,c_840,c_861,c_970,c_12920]) ).
cnf(c_12994,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(renaming,[status(thm)],[c_12993]) ).
cnf(c_13018,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(resolution,[status(thm)],[c_12994,c_82]) ).
cnf(c_13435,plain,
( sdtasdt0(X0,xm) != sdtasdt0(xp,xk)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| X0 = xn
| sz00 = xm ),
inference(superposition,[status(thm)],[c_156,c_68]) ).
cnf(c_13532,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sz00 = xm
| xp = xn ),
inference(instantiation,[status(thm)],[c_13435]) ).
cnf(c_13577,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_13018,c_178,c_157,c_117,c_116,c_51,c_49,c_142,c_50,c_429,c_458,c_840,c_861,c_970,c_12921]) ).
cnf(c_13768,plain,
sdtasdt0(xn,xm) = sdtasdt0(xn,xm),
inference(instantiation,[status(thm)],[c_320]) ).
cnf(c_14314,plain,
( ~ sdtlseqdt0(xn,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| X0 = xn
| sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(X0,xm)) ),
inference(superposition,[status(thm)],[c_156,c_88]) ).
cnf(c_14432,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sz00 = xm
| xp = xn ),
inference(superposition,[status(thm)],[c_88,c_8597]) ).
cnf(c_14493,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sz00 = xm
| xp = xn
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_14314]) ).
cnf(c_14519,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xk)
| sdtasdt0(xp,xk) != sdtasdt0(xp,xk)
| ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xk))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_7271]) ).
cnf(c_14520,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xk))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_14552,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xn,xm)
| sdtasdt0(xn,xm) != X0
| ~ sdtlseqdt0(X0,sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_417]) ).
cnf(c_14563,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_14569,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xm)
| sdtasdt0(xp,xk) != sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_2902]) ).
cnf(c_15623,plain,
( sz00 = xm
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(global_subsumption_just,[status(thm)],[c_14432,c_118,c_117,c_116,c_151,c_154,c_13532,c_14432]) ).
cnf(c_15624,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sz00 = xm ),
inference(renaming,[status(thm)],[c_15623]) ).
cnf(c_15625,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82,c_15624]) ).
cnf(c_15661,plain,
( sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_15625,c_118,c_117,c_116,c_151,c_154,c_14493]) ).
cnf(c_16226,plain,
( ~ sdtlseqdt0(xm,xk)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xp
| sz00 = xm
| xm = xk ),
inference(superposition,[status(thm)],[c_90,c_15624]) ).
cnf(c_16939,plain,
( ~ sdtlseqdt0(sdtasdt0(X0,xk),sdtasdt0(X1,xk))
| ~ sdtlseqdt0(sdtasdt0(X1,xk),sdtasdt0(X0,xk))
| ~ aNaturalNumber0(sdtasdt0(X0,xk))
| ~ aNaturalNumber0(sdtasdt0(X1,xk))
| sdtasdt0(X0,xk) = sdtasdt0(X1,xk) ),
inference(instantiation,[status(thm)],[c_80]) ).
cnf(c_16942,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xk))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| sdtasdt0(xp,xk) = sdtasdt0(xp,xk) ),
inference(instantiation,[status(thm)],[c_16939]) ).
cnf(c_17310,plain,
( sz00 = xm
| ~ sdtlseqdt0(xm,xk) ),
inference(global_subsumption_just,[status(thm)],[c_16226,c_178,c_157,c_117,c_116,c_142,c_458,c_16226]) ).
cnf(c_17311,plain,
( ~ sdtlseqdt0(xm,xk)
| sz00 = xm ),
inference(renaming,[status(thm)],[c_17310]) ).
cnf(c_17312,plain,
( ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xm
| sdtlseqdt0(xk,xm) ),
inference(superposition,[status(thm)],[c_82,c_17311]) ).
cnf(c_17558,plain,
( sz00 = xm
| sdtlseqdt0(xk,xm) ),
inference(global_subsumption_just,[status(thm)],[c_17312,c_157,c_117,c_17312]) ).
cnf(c_17560,plain,
( ~ sdtlseqdt0(xm,X0)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xm
| sdtlseqdt0(xk,X0) ),
inference(superposition,[status(thm)],[c_17558,c_81]) ).
cnf(c_17565,plain,
( ~ sdtlseqdt0(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xk)
| sz00 = xm
| sdtlseqdt0(xk,xp) ),
inference(instantiation,[status(thm)],[c_17560]) ).
cnf(c_20297,negated_conjecture,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_179,c_12994]) ).
cnf(c_20317,plain,
( sdtpldt0(sdtasdt0(xp,xm),X0) != sdtasdt0(xp,xk)
| sdtpldt0(sdtasdt0(xp,xk),X1) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(superposition,[status(thm)],[c_156,c_182]) ).
cnf(c_20325,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_56]) ).
cnf(c_20404,plain,
sdtasdt0(xn,sz00) = sz00,
inference(superposition,[status(thm)],[c_118,c_63]) ).
cnf(c_20517,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82,c_20297]) ).
cnf(c_20528,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_20517,c_118,c_117,c_116,c_903,c_2769,c_20517]) ).
cnf(c_20530,plain,
( ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_82,c_20528]) ).
cnf(c_20537,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_20530,c_173,c_170,c_117,c_116,c_906,c_2769,c_20530]) ).
cnf(c_21224,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_20537,c_81]) ).
cnf(c_21349,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(global_subsumption_just,[status(thm)],[c_21224,c_118,c_117,c_116,c_903,c_2769,c_21224]) ).
cnf(c_21352,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_156,c_21349]) ).
cnf(c_21358,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xk) = X0
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| iLess0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_21349,c_94]) ).
cnf(c_21391,plain,
( ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_21352,c_20297]) ).
cnf(c_21402,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm))
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_156,c_21391]) ).
cnf(c_21607,plain,
( ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| iLess0(sdtasdt0(xp,xk),X0) ),
inference(global_subsumption_just,[status(thm)],[c_21358,c_118,c_117,c_903,c_2902,c_2903,c_6347,c_13577,c_14519,c_14520,c_16942]) ).
cnf(c_21608,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| iLess0(sdtasdt0(xp,xk),X0) ),
inference(renaming,[status(thm)],[c_21607]) ).
cnf(c_22517,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn)
| sz00 = xm
| xp = xn
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_88,c_20528]) ).
cnf(c_22555,plain,
( sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)) ),
inference(global_subsumption_just,[status(thm)],[c_22517,c_15661]) ).
cnf(c_22562,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_22555,c_21402]) ).
cnf(c_22580,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sz00 = xm
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xn,xm))
| iLess0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_21608,c_22562]) ).
cnf(c_23841,plain,
( xp != X0
| xk != X1
| sdtasdt0(xp,xk) = sdtasdt0(X0,X1) ),
inference(instantiation,[status(thm)],[c_325]) ).
cnf(c_23843,plain,
( xp != xp
| xk != xp
| sdtasdt0(xp,xk) = sdtasdt0(xp,xp) ),
inference(instantiation,[status(thm)],[c_23841]) ).
cnf(c_25936,plain,
( sdtasdt0(xp,xk) != sdtasdt0(xp,xm)
| ~ sdtlseqdt0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xp,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtasdt0(xn,xm),X0))
| ~ aNaturalNumber0(sdtasdt0(xp,xm))
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sz00)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm)
| iLess0(sdtpldt0(sdtasdt0(xn,xm),X0),sdtasdt0(xp,xm)) ),
inference(resolution,[status(thm)],[c_2645,c_5354]) ).
cnf(c_26661,plain,
( ~ aNaturalNumber0(sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm)) ),
inference(instantiation,[status(thm)],[c_83]) ).
cnf(c_32744,plain,
( sz00 = xm
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| iLess0(sdtasdt0(xp,xk),X0) ),
inference(global_subsumption_just,[status(thm)],[c_22580,c_118,c_117,c_116,c_154,c_903,c_2902,c_2903,c_6347,c_13532,c_15624]) ).
cnf(c_32745,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(X0)
| sz00 = xm
| iLess0(sdtasdt0(xp,xk),X0) ),
inference(renaming,[status(thm)],[c_32744]) ).
cnf(c_32760,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,xm),X0)
| ~ aNaturalNumber0(sdtasdt0(xn,xm))
| ~ aNaturalNumber0(X0)
| sz00 = xm
| iLess0(sdtasdt0(xp,xk),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),X0) ),
inference(superposition,[status(thm)],[c_21349,c_32745]) ).
cnf(c_36649,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xm)
| sdtasdt0(xp,xk) != sdtasdt0(xp,X0)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,X0))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_2902]) ).
cnf(c_36652,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xp,xm)
| sdtasdt0(xp,xk) != sdtasdt0(xp,xp)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xp))
| sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk)) ),
inference(instantiation,[status(thm)],[c_36649]) ).
cnf(c_36854,plain,
sz00 = xm,
inference(global_subsumption_just,[status(thm)],[c_32760,c_157,c_117,c_116,c_51,c_49,c_176,c_147,c_150,c_142,c_50,c_184,c_221,c_383,c_429,c_840,c_861,c_970,c_1027,c_2903,c_5073,c_15624,c_17565,c_23843,c_36652]) ).
cnf(c_36956,plain,
( sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,sz00)) ),
inference(superposition,[status(thm)],[c_36854,c_20537]) ).
cnf(c_36960,plain,
( sdtpldt0(sdtasdt0(xp,sz00),X0) != sdtasdt0(xp,xk)
| sdtpldt0(sdtasdt0(xp,xk),X1) != sdtasdt0(xp,xm)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(superposition,[status(thm)],[c_36854,c_20317]) ).
cnf(c_36971,plain,
( sdtpldt0(sdtasdt0(xn,sz00),X0) != sdtasdt0(xp,sz00)
| ~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xk))
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(superposition,[status(thm)],[c_36854,c_180]) ).
cnf(c_36972,plain,
( ~ sdtlseqdt0(sdtasdt0(xp,sz00),sdtasdt0(xp,xk))
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_36854,c_20297]) ).
cnf(c_37701,plain,
~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)),
inference(global_subsumption_just,[status(thm)],[c_36972,c_178,c_157,c_118,c_117,c_116,c_51,c_49,c_161,c_142,c_50,c_156,c_429,c_458,c_840,c_861,c_903,c_976,c_970,c_1708,c_2903,c_4718,c_5056,c_6326,c_12920,c_14569,c_36956]) ).
cnf(c_37709,plain,
~ sdtlseqdt0(sdtasdt0(xp,xk),sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_156,c_37701]) ).
cnf(c_38433,plain,
( sdtpldt0(sdtasdt0(xn,sz00),X0) != sdtasdt0(xp,sz00)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(global_subsumption_just,[status(thm)],[c_36971,c_157,c_118,c_117,c_116,c_51,c_49,c_161,c_142,c_50,c_156,c_429,c_840,c_861,c_903,c_976,c_970,c_1708,c_2903,c_4718,c_5056,c_6326,c_14569,c_36956,c_36971]) ).
cnf(c_38436,plain,
( sdtpldt0(sz00,X0) != sdtasdt0(xp,sz00)
| ~ aNaturalNumber0(X0)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(superposition,[status(thm)],[c_20404,c_38433]) ).
cnf(c_39050,plain,
( sdtasdt0(xp,sz00) != sz00
| ~ aNaturalNumber0(sz00)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(superposition,[status(thm)],[c_20325,c_38436]) ).
cnf(c_39136,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xn,xm)
| sdtasdt0(xp,xm) = sdtasdt0(xp,xk) ),
inference(global_subsumption_just,[status(thm)],[c_25936,c_116,c_49,c_187,c_39050]) ).
cnf(c_39137,plain,
( sdtasdt0(xp,xm) = sdtasdt0(xp,xk)
| sdtasdt0(xp,xm) = sdtasdt0(xn,xm) ),
inference(renaming,[status(thm)],[c_39136]) ).
cnf(c_39223,plain,
( sdtasdt0(xp,xm) != sdtasdt0(xn,xm)
| sdtasdt0(xn,xm) != sdtasdt0(xn,xm)
| ~ sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xn,xm))
| sdtlseqdt0(sdtasdt0(xn,xm),sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[c_14552]) ).
cnf(c_39512,plain,
sdtasdt0(xp,xm) = sdtasdt0(xp,xk),
inference(global_subsumption_just,[status(thm)],[c_36960,c_173,c_170,c_157,c_118,c_117,c_116,c_51,c_49,c_161,c_142,c_50,c_156,c_429,c_840,c_861,c_906,c_903,c_976,c_970,c_1708,c_2903,c_4718,c_5056,c_6326,c_12994,c_13768,c_14569,c_26661,c_36956,c_39137,c_39223]) ).
cnf(c_39534,plain,
~ sdtlseqdt0(sdtasdt0(xp,xm),sdtasdt0(xp,xm)),
inference(superposition,[status(thm)],[c_39512,c_37709]) ).
cnf(c_39567,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_39534,c_14563,c_2769,c_116,c_117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : NUM503+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : run_iprover %s %d THM
% 0.11/0.32 % Computer : n024.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
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Thu May 2 19:25:20 EDT 2024
% 0.11/0.32 % 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
% 28.17/4.65 % SZS status Started for theBenchmark.p
% 28.17/4.65 % SZS status Theorem for theBenchmark.p
% 28.17/4.65
% 28.17/4.65 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 28.17/4.65
% 28.17/4.65 ------ iProver source info
% 28.17/4.65
% 28.17/4.65 git: date: 2024-05-02 19:28:25 +0000
% 28.17/4.65 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 28.17/4.65 git: non_committed_changes: false
% 28.17/4.65
% 28.17/4.65 ------ Parsing...
% 28.17/4.65 ------ Clausification by vclausify_rel & Parsing by iProver...
% 28.17/4.65
% 28.17/4.65 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e sup_sim: 0 sf_s rm: 1 0s sf_e
% 28.17/4.65
% 28.17/4.65 ------ Preprocessing...
% 28.17/4.65
% 28.17/4.65 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 28.17/4.65 ------ Proving...
% 28.17/4.65 ------ Problem Properties
% 28.17/4.65
% 28.17/4.65
% 28.17/4.65 clauses 127
% 28.17/4.65 conjectures 20
% 28.17/4.65 EPR 46
% 28.17/4.65 Horn 83
% 28.17/4.65 unary 44
% 28.17/4.65 binary 13
% 28.17/4.65 lits 414
% 28.17/4.65 lits eq 133
% 28.17/4.65 fd_pure 0
% 28.17/4.65 fd_pseudo 0
% 28.17/4.65 fd_cond 24
% 28.17/4.65 fd_pseudo_cond 11
% 28.17/4.65 AC symbols 0
% 28.17/4.65
% 28.17/4.65 ------ Input Options Time Limit: Unbounded
% 28.17/4.65
% 28.17/4.65
% 28.17/4.65 ------
% 28.17/4.65 Current options:
% 28.17/4.65 ------
% 28.17/4.65
% 28.17/4.65
% 28.17/4.65
% 28.17/4.65
% 28.17/4.65 ------ Proving...
% 28.17/4.65
% 28.17/4.65
% 28.17/4.65 % SZS status Theorem for theBenchmark.p
% 28.17/4.65
% 28.17/4.65 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 28.17/4.65
% 28.17/4.65
%------------------------------------------------------------------------------