%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM517+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:25:48 PM UTC 2026
% Result : Theorem 59.65s 14.26s
% Output : CNFRefutation 59.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 13
% Syntax : Number of formulae : 126 ( 48 unt; 2 def)
% Number of atoms : 602 ( 206 equ)
% Maximal formula atoms : 22 ( 4 avg)
% Number of connectives : 707 ( 231 ~; 219 |; 234 &)
% ( 0 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 12 con; 0-2 aty)
% Number of variables : 160 ( 0 sgn 110 !; 50 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> aNaturalNumber0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
fof(f15,axiom,
! [X0] :
( aNaturalNumber0(X0)
=> ( X0 != sz00
=> ! [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(f29,axiom,
! [X0,X1] :
( ( aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( sdtlseqdt0(X0,X1)
& X0 != X1 )
=> iLess0(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
fof(f39,axiom,
( aNaturalNumber0(xp)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
fof(f40,axiom,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
| ? [X3] :
( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
& aNaturalNumber0(X3) ) )
& ( isPrime0(X2)
| ( ! [X3] :
( ( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
=> ( X3 = X2
| X3 = sz10 ) )
& X2 != sz10
& X2 != sz00 ) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( doDivides0(X2,X1)
& ? [X3] :
( X1 = sdtasdt0(X2,X3)
& aNaturalNumber0(X3) ) )
| ( doDivides0(X2,X0)
& ? [X3] :
( X0 = sdtasdt0(X2,X3)
& aNaturalNumber0(X3) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1799) ).
fof(f41,axiom,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X0] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( xp = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xp
| X0 = sz10 ) )
& xp != sz10
& xp != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1860) ).
fof(f48,axiom,
( isPrime0(xr)
& ! [X0] :
( ( ( doDivides0(X0,xr)
| ? [X1] :
( xr = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xr
| X0 = sz10 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
fof(f52,axiom,
( doDivides0(xr,xn)
& ? [X0] :
( xn = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2487) ).
fof(f54,axiom,
( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& ? [X0] :
( sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2529) ).
fof(f55,axiom,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ? [X0] :
( sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ~ ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) = sdtpldt0(sdtpldt0(xn,xm),xp) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2686) ).
fof(f56,conjecture,
( doDivides0(xp,xm)
| ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtsldt0(xn,xr))
| ? [X0] :
( sdtsldt0(xn,xr) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( doDivides0(xp,xm)
| ? [X0] :
( xm = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) )
| ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtsldt0(xn,xr))
| ? [X0] :
( sdtsldt0(xn,xr) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f56]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ( aNaturalNumber0(X2)
& aNaturalNumber0(X1)
& aNaturalNumber0(X0) )
=> ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
| ? [X5] :
( sdtasdt0(X0,X1) = sdtasdt0(X2,X5)
& aNaturalNumber0(X5) ) )
& ( isPrime0(X2)
| ( ! [X3] :
( ( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3) )
=> ( X3 = X2
| X3 = sz10 ) )
& X2 != sz10
& X2 != sz00 ) ) )
=> ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
=> ( ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) )
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ) ) ) ),
inference(rectify,[],[f40]) ).
fof(f59,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ( doDivides0(X0,xp)
| ? [X1] :
( xp = sdtasdt0(X0,X1)
& aNaturalNumber0(X1) ) )
& aNaturalNumber0(X0) )
=> ( X0 = xp
| X0 = sz10 ) )
& xp != sz10
& xp != sz00 ),
inference(rectify,[],[f41]) ).
fof(f61,plain,
( isPrime0(xr)
& ! [X1] :
( ( ( doDivides0(X1,xr)
| ? [X2] :
( sdtasdt0(X1,X2) = xr
& aNaturalNumber0(X2) ) )
& aNaturalNumber0(X1) )
=> ( xr = X1
| sz10 = X1 ) )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(rectify,[],[f48]) ).
fof(f64,plain,
~ ( doDivides0(xp,xm)
| ? [X1] :
( xm = sdtasdt0(xp,X1)
& aNaturalNumber0(X1) )
| ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) )
=> ( doDivides0(xp,sdtsldt0(xn,xr))
| ? [X0] :
( sdtsldt0(xn,xr) = sdtasdt0(xp,X0)
& aNaturalNumber0(X0) ) ) ) ),
inference(rectify,[],[f57]) ).
fof(f67,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X5] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) )
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X5] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) )
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) )
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(ennf_transformation,[],[f59]) ).
fof(f70,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& ? [X2] :
( sdtasdt0(xn,xm) = sdtasdt0(xp,X2)
& aNaturalNumber0(X2) )
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(flattening,[],[f69]) ).
fof(f74,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(ennf_transformation,[],[f61]) ).
fof(f75,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& ? [X0] :
( xk = sdtasdt0(xr,X0)
& aNaturalNumber0(X0) )
& aNaturalNumber0(xr) ),
inference(flattening,[],[f74]) ).
fof(f78,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ? [X0] :
( sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
inference(ennf_transformation,[],[f55]) ).
fof(f79,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& ? [X0] :
( sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),X0) = sdtpldt0(sdtpldt0(xn,xm),xp)
& aNaturalNumber0(X0) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
inference(flattening,[],[f78]) ).
fof(f80,plain,
( ~ doDivides0(xp,xm)
& ! [X1] :
( xm != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ~ doDivides0(xp,sdtsldt0(xn,xr))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtsldt0(xn,xr)
| ~ aNaturalNumber0(X0) ) ),
inference(ennf_transformation,[],[f64]) ).
fof(f81,plain,
( ~ doDivides0(xp,xm)
& ! [X1] :
( xm != sdtasdt0(xp,X1)
| ~ aNaturalNumber0(X1) )
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& ~ doDivides0(xp,sdtsldt0(xn,xr))
& ! [X0] :
( sdtasdt0(xp,X0) != sdtsldt0(xn,xr)
| ~ aNaturalNumber0(X0) ) ),
inference(flattening,[],[f80]) ).
fof(f92,plain,
! [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 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f93,plain,
! [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 ) ),
inference(flattening,[],[f92]) ).
fof(f115,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f116,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f118,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(flattening,[],[f117]) ).
fof(f149,plain,
! [X1,X2] :
( ~ sP1(X1,X2)
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) ) ),
inference(nnf_transformation,[],[f145]) ).
fof(f150,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) ) ) ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| ( doDivides0(X1,X0)
& sdtasdt0(X1,sK3(X0,X1)) = X0
& aNaturalNumber0(sK3(X0,X1)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f150]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X4] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X4) ) )
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| ( doDivides0(X2,X0)
& ? [X3] :
( sdtasdt0(X2,X3) = X0
& aNaturalNumber0(X3) ) ) ),
inference(rectify,[],[f146]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X4] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
| ~ aNaturalNumber0(X4) ) )
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| ( doDivides0(X2,X0)
& sdtasdt0(X2,sK6(X0,X2)) = X0
& aNaturalNumber0(sK6(X0,X2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X3,sK6(X0,X2))],[f155]) ).
fof(f157,plain,
( doDivides0(xp,sdtasdt0(xn,xm))
& sdtasdt0(xn,xm) = sdtasdt0(xp,sK7)
& aNaturalNumber0(sK7)
& isPrime0(xp)
& ! [X0] :
( ( ~ doDivides0(X0,xp)
& ! [X1] :
( sdtasdt0(X0,X1) != xp
| ~ aNaturalNumber0(X1) ) )
| ~ aNaturalNumber0(X0)
| X0 = xp
| X0 = sz10 )
& xp != sz10
& xp != sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7)],[f70]) ).
fof(f159,plain,
( isPrime0(xr)
& ! [X1] :
( ( ~ doDivides0(X1,xr)
& ! [X2] :
( sdtasdt0(X1,X2) != xr
| ~ aNaturalNumber0(X2) ) )
| ~ aNaturalNumber0(X1)
| xr = X1
| sz10 = X1 )
& xr != sz10
& xr != sz00
& doDivides0(xr,xk)
& xk = sdtasdt0(xr,sK10)
& aNaturalNumber0(sK10)
& aNaturalNumber0(xr) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X0,sK10)],[f75]) ).
fof(f166,plain,
( doDivides0(xr,xn)
& xn = sdtasdt0(xr,sK16)
& aNaturalNumber0(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f52]) ).
fof(f168,plain,
( doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm))
& sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK18)
& aNaturalNumber0(sK18)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK18]),skolemize(X0,sK18)],[f54]) ).
fof(f169,plain,
( sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
& sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK19)
& aNaturalNumber0(sK19)
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& xn = sdtasdt0(xr,sdtsldt0(xn,xr))
& aNaturalNumber0(sdtsldt0(xn,xr))
& sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19]),skolemize(X0,sK19)],[f79]) ).
fof(f183,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f39]) ).
fof(f184,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f39]) ).
fof(f185,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f39]) ).
fof(f186,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| doDivides0(X1,X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f196,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| doDivides0(X2,X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f205,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f157]) ).
fof(f233,plain,
sz00 != xr,
inference(cnf_transformation,[],[f159]) ).
fof(f237,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f159]) ).
fof(f254,plain,
xn = sdtasdt0(xr,sK16),
inference(cnf_transformation,[],[f166]) ).
fof(f255,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f166]) ).
fof(f264,plain,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f168]) ).
fof(f265,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK18),
inference(cnf_transformation,[],[f168]) ).
fof(f269,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f169]) ).
fof(f270,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK19),
inference(cnf_transformation,[],[f169]) ).
fof(f271,plain,
aNaturalNumber0(sK19),
inference(cnf_transformation,[],[f169]) ).
fof(f276,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),
inference(cnf_transformation,[],[f169]) ).
fof(f277,plain,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f81]) ).
fof(f279,plain,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f81]) ).
fof(f280,plain,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f81]) ).
fof(f281,plain,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f81]) ).
fof(f293,plain,
! [X2,X0,X1] :
( ~ aNaturalNumber0(X0)
| sz00 = X0
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| sdtasdt0(X0,X1) != sdtasdt0(X0,X2)
| X1 = X2 ),
inference(cnf_transformation,[],[f93]) ).
fof(f320,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| aNaturalNumber0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f321,plain,
! [X0,X1] :
( ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1)
| X0 = X1
| iLess0(X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
tcf(c_49,plain,
aNaturalNumber0(xn),
inference(cnf_transformation,[],[f185]) ).
tcf(c_50,plain,
aNaturalNumber0(xm),
inference(cnf_transformation,[],[f184]) ).
tcf(c_51,plain,
aNaturalNumber0(xp),
inference(cnf_transformation,[],[f183]) ).
tcf(c_54,plain,
! [X0: $i,X1: $i] :
( doDivides0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i,X2: $i] :
( sP0(X2)
| doDivides0(X2,X0)
| sP1(X1,X2)
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ doDivides0(X2,sdtasdt0(X0,X1))
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(cnf_transformation,[],[f196]) ).
tcf(c_72,plain,
isPrime0(xp),
inference(cnf_transformation,[],[f205]) ).
tcf(c_95,plain,
aNaturalNumber0(xr),
inference(cnf_transformation,[],[f237]) ).
tcf(c_99,plain,
sz00 != xr,
inference(cnf_transformation,[],[f233]) ).
tcf(c_119,plain,
aNaturalNumber0(sK16),
inference(cnf_transformation,[],[f255]) ).
tcf(c_120,plain,
sdtasdt0(xr,sK16) = xn,
inference(cnf_transformation,[],[f254]) ).
tcf(c_133,plain,
sdtasdt0(sdtsldt0(xn,xr),xm) = sdtasdt0(xp,sK18),
inference(cnf_transformation,[],[f265]) ).
tcf(c_134,plain,
doDivides0(xp,sdtasdt0(sdtsldt0(xn,xr),xm)),
inference(cnf_transformation,[],[f264]) ).
tcf(c_135,plain,
sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp) != sdtpldt0(sdtpldt0(xn,xm),xp),
inference(cnf_transformation,[],[f276]) ).
tcf(c_140,plain,
aNaturalNumber0(sK19),
inference(cnf_transformation,[],[f271]) ).
tcf(c_141,plain,
sdtpldt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sK19) = sdtpldt0(sdtpldt0(xn,xm),xp),
inference(cnf_transformation,[],[f270]) ).
tcf(c_142,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtsldt0(xn,xr),xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(cnf_transformation,[],[f269]) ).
tcf(c_144,negated_conjecture,
~ doDivides0(xp,sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f281]) ).
tcf(c_145,negated_conjecture,
aNaturalNumber0(sdtsldt0(xn,xr)),
inference(cnf_transformation,[],[f280]) ).
tcf(c_146,negated_conjecture,
sdtasdt0(xr,sdtsldt0(xn,xr)) = xn,
inference(cnf_transformation,[],[f279]) ).
tcf(c_148,negated_conjecture,
~ doDivides0(xp,xm),
inference(cnf_transformation,[],[f277]) ).
tcf(c_158,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X1 = X2 )
| ( X0 = sz00 )
| ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(X0,X1) != sdtasdt0(X0,X2) ) ),
inference(cnf_transformation,[],[f293]) ).
tcf(c_185,plain,
! [X0: $i,X1: $i] :
( aNaturalNumber0(sdtpldt0(X0,X1))
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0) ),
inference(cnf_transformation,[],[f320]) ).
tcf(c_186,plain,
! [X0: $i,X1: $i] :
( iLess0(X0,X1)
| ( X0 = X1 )
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ~ sdtlseqdt0(X0,X1) ),
inference(cnf_transformation,[],[f321]) ).
tcf(c_1211,plain,
doDivides0(xp,sdtasdt0(xp,sK18)),
inference(demodulation,[status(thm)],[c_134,c_133]) ).
tcf(c_14533,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(xn,xm)) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_20731,plain,
! [X0: $i] :
( ( sz00 = xr )
| ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(xr)
| ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(sdtsldt0(xn,xr))
| ( sdtasdt0(xr,X0) != xn ) ),
inference(superposition,[status(thm)],[c_146,c_158]) ).
tcf(c_20891,plain,
! [X0: $i] :
( ( sdtsldt0(xn,xr) = X0 )
| ~ aNaturalNumber0(X0)
| ( sdtasdt0(xr,X0) != xn ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_20731,c_99,c_95,c_145]) ).
tcf(c_25134,plain,
( ( sdtsldt0(xn,xr) = sK16 )
| ~ aNaturalNumber0(sK16) ),
inference(superposition,[status(thm)],[c_120,c_20891]) ).
tcf(c_25137,plain,
sdtsldt0(xn,xr) = sK16,
inference(forward_subsumption_resolution,[status(thm)],[c_25134,c_119]) ).
tcf(c_35923,plain,
( aNaturalNumber0(sdtpldt0(xn,xm))
| ~ aNaturalNumber0(xm)
| ~ aNaturalNumber0(xn) ),
inference(instantiation,[status(thm)],[c_185]) ).
tcf(c_123386,plain,
~ doDivides0(xp,sK16),
inference(light_normalisation,[status(thm)],[c_144,c_25137]) ).
tcf(c_123916,plain,
sdtasdt0(xp,sK18) = sdtasdt0(sK16,xm),
inference(light_normalisation,[status(thm)],[c_133,c_25137]) ).
tcf(c_124512,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sK16,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(light_normalisation,[status(thm)],[c_142,c_25137]) ).
tcf(c_127575,plain,
sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(sK16,xm),xp),
inference(light_normalisation,[status(thm)],[c_135,c_25137]) ).
tcf(c_128946,plain,
sdtpldt0(sdtpldt0(sdtpldt0(sK16,xm),xp),sK19) = sdtpldt0(sdtpldt0(xn,xm),xp),
inference(light_normalisation,[status(thm)],[c_141,c_25137]) ).
tcf(c_128948,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sK19)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp)) ),
inference(superposition,[status(thm)],[c_128946,c_185]) ).
tcf(c_128949,plain,
( aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_128948,c_140]) ).
tcf(c_129648,plain,
aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)),
inference(global_subsumption_just,[status(thm)],[c_128949,c_51,c_50,c_49,c_14533,c_35923]) ).
tcf(c_131217,plain,
( iLess0(sdtpldt0(sdtpldt0(sK16,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sK16,xm),xp) )
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
inference(superposition,[status(thm)],[c_124512,c_186]) ).
tcf(c_131264,plain,
( iLess0(sdtpldt0(sdtpldt0(sK16,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_131217,c_127575,c_129648]) ).
tcf(c_142328,plain,
( sP0(xp)
| doDivides0(xp,sK16)
| sP1(xm,xp)
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xp,sdtasdt0(sK16,xm))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp)) ),
inference(superposition,[status(thm)],[c_131264,c_67]) ).
tcf(c_142355,plain,
( sP0(xp)
| doDivides0(xp,sK16)
| sP1(xm,xp)
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(xm)
| ~ doDivides0(xp,sdtasdt0(xp,sK18))
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp)) ),
inference(light_normalisation,[status(thm)],[c_142328,c_123916]) ).
tcf(c_142356,plain,
( sP0(xp)
| sP1(xm,xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_142355,c_123386,c_119,c_51,c_50,c_1211]) ).
fof(f144,definition,
! [X2] :
( ~ sP0(X2)
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f145,definition,
! [X1,X2] :
( ~ sP1(X1,X2)
| ( doDivides0(X2,X1)
& ? [X7] :
( sdtasdt0(X2,X7) = X1
& aNaturalNumber0(X7) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f146,plain,
! [X0,X1,X2] :
( ~ aNaturalNumber0(X2)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X0)
| ( ~ doDivides0(X2,sdtasdt0(X0,X1))
& ! [X5] :
( sdtasdt0(X0,X1) != sdtasdt0(X2,X5)
| ~ aNaturalNumber0(X5) ) )
| sP0(X2)
| ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
| sP1(X1,X2)
| ( doDivides0(X2,X0)
& ? [X6] :
( sdtasdt0(X2,X6) = X0
& aNaturalNumber0(X6) ) ) ),
inference(definition_folding,[],[f68,f145,f144]) ).
fof(f152,plain,
! [X2] :
( ~ sP0(X2)
| ( ~ isPrime0(X2)
& ( ? [X3] :
( doDivides0(X3,X2)
& ? [X4] :
( X2 = sdtasdt0(X3,X4)
& aNaturalNumber0(X4) )
& aNaturalNumber0(X3)
& X2 != X3
& sz10 != X3 )
| sz10 = X2
| sz00 = X2 ) ) ),
inference(nnf_transformation,[],[f144]) ).
fof(f153,plain,
! [X0] :
( ~ sP0(X0)
| ( ~ isPrime0(X0)
& ( ? [X1] :
( doDivides0(X1,X0)
& ? [X2] :
( sdtasdt0(X1,X2) = X0
& aNaturalNumber0(X2) )
& aNaturalNumber0(X1)
& X0 != X1
& sz10 != X1 )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(rectify,[],[f152]) ).
fof(f154,plain,
! [X0] :
( ~ sP0(X0)
| ( ~ isPrime0(X0)
& ( ( doDivides0(sK4(X0),X0)
& sdtasdt0(sK4(X0),sK5(X0)) = X0
& aNaturalNumber0(sK5(X0))
& aNaturalNumber0(sK4(X0))
& sK4(X0) != X0
& sz10 != sK4(X0) )
| sz10 = X0
| sz00 = X0 ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X1,sK4(X0)),skolemize(X2,sK5(X0))],[f153]) ).
fof(f189,plain,
! [X0] :
( ~ sP0(X0)
| ~ isPrime0(X0) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_61,plain,
! [X0: $i] :
( ~ isPrime0(X0)
| ~ sP0(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_2204,plain,
! [X0: $i] :
( ~ sP0(X0)
| ( X0 != xp ) ),
inference(resolution_lifted,[status(thm)],[c_61,c_72]) ).
tcf(c_2205,plain,
~ sP0(xp),
inference(unflattening,[status(thm)],[c_2204]) ).
tcf(c_144558,plain,
( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp))
| sP1(xm,xp) ),
inference(global_subsumption_just,[status(thm)],[c_142356,c_2205,c_142356]) ).
tcf(c_144559,plain,
( sP1(xm,xp)
| ~ aNaturalNumber0(sdtpldt0(sdtpldt0(sK16,xm),xp)) ),
inference(renaming,[status(thm)],[c_144558]) ).
tcf(c_144564,plain,
( sP1(xm,xp)
| ~ aNaturalNumber0(xp)
| ~ aNaturalNumber0(sdtpldt0(sK16,xm)) ),
inference(superposition,[status(thm)],[c_185,c_144559]) ).
tcf(c_144565,plain,
( sP1(xm,xp)
| ~ aNaturalNumber0(sdtpldt0(sK16,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_144564,c_51]) ).
tcf(c_144682,plain,
( sP1(xm,xp)
| ~ aNaturalNumber0(sK16)
| ~ aNaturalNumber0(xm) ),
inference(superposition,[status(thm)],[c_185,c_144565]) ).
tcf(c_144683,plain,
sP1(xm,xp),
inference(forward_subsumption_resolution,[status(thm)],[c_144682,c_119,c_50]) ).
tcf(c_147660,plain,
doDivides0(xp,xm),
inference(superposition,[status(thm)],[c_144683,c_54]) ).
tcf(c_147661,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_147660,c_148]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM517+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.17/0.42 % Computer : n005.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Thu Sep 24 04:24:02 UTC 2026
% 0.17/0.42 % CPUTime :
% 0.17/0.42 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.25/0.49 Running first-order theorem proving
% 0.25/0.49 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.25/0.50
% 0.25/0.50 % ======== iProver multi-core TPTP/SMT =========
% 0.25/0.50
% 0.25/0.51 % Detected problem language: tptp
% 0.25/0.52 % Proving...
% 59.65/14.26 % SZS status Started for theBenchmark.p
% 59.65/14.26 % SZS status Theorem for theBenchmark.p
% 59.65/14.26
% 59.65/14.26 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 59.65/14.26
% 59.65/14.26 % ------ iProver source info
% 59.65/14.26
% 59.65/14.26 % git: date: 2026-07-19 20:42:38 +0200
% 59.65/14.26 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 59.65/14.26 % git: non_committed_changes: false
% 59.65/14.26
% 59.65/14.26 % ------ Parsing...
% 59.65/14.26 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 59.65/14.26
% 59.65/14.26 % ------ Preprocessing... sup_sim: 1 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 %
% 59.65/14.26
% 59.65/14.26 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 59.65/14.26
% 59.65/14.26 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 59.65/14.26 % ------ Proving...
% 59.65/14.26 % ------ Problem Properties
% 59.65/14.26
% 59.65/14.26 %
% 59.65/14.26 % clauses 146
% 59.65/14.26 % conjectures 6
% 59.65/14.26 % EPR 56
% 59.65/14.26 % Horn 104
% 59.65/14.26 % unary 63
% 59.65/14.26 % binary 20
% 59.65/14.26 % lits 416
% 59.65/14.26 % lits eq 131
% 59.65/14.26 % fd_pure 0
% 59.65/14.26 % fd_pseudo 0
% 59.65/14.26 % fd_cond 24
% 59.65/14.26 % fd_pseudo_cond 11
% 59.65/14.26 % AC symbols 0
% 59.65/14.26
% 59.65/14.26 % ------ Schedule dynamic 5 is on
% 59.65/14.26
% 59.65/14.26 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 59.65/14.26
% 59.65/14.26
% 59.65/14.26 % ------
% 59.65/14.26 % Current options:
% 59.65/14.26 % ------
% 59.65/14.26
% 59.65/14.26
% 59.65/14.26 %
% 59.65/14.26
% 59.65/14.26 % ------ Proving...
% 59.65/14.26 % Proof_search_loop: time out after: 4131 full_loop iterations
% 59.65/14.26
% 59.65/14.26 % ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 59.65/14.26
% 59.65/14.26
% 59.65/14.26 % ------
% 59.65/14.26 % Current options:
% 59.65/14.26 % ------
% 59.65/14.26
% 59.65/14.26
% 59.65/14.26 %
% 59.65/14.26
% 59.65/14.26 % ------ Proving...
% 59.65/14.26 %
% 59.65/14.26
% 59.65/14.26 % SZS status Theorem for theBenchmark.p
% 59.65/14.26
% 59.65/14.26 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 59.65/14.26
% 59.65/14.26
%------------------------------------------------------------------------------