%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM436+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n031.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 Jul 25 12:28:09 PM UTC 2025
% Result : Theorem 0.18s 0.42s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 16 unt; 0 def)
% Number of atoms : 83 ( 22 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 76 ( 26 ~; 28 |; 20 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 18 ( 1 sgn 5 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
( ( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xp,W0) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xp) )
& ( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( ( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xp,W0) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xp,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xp) )
& ( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xb)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xb)))
| sdteqdtlpzmzozddtrp0(xa,xb,xq) ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(47,plain,
( ~ aInteger0(X0)
| sdtasdt0(xp,X0) != sdtpldt0(xa,smndt0(xb))
| sP0(X1) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
( ~ aInteger0(sdtasdt0(xq,sK3))
| sdtasdt0(xp,sdtasdt0(xq,sK3)) != sdtpldt0(xa,smndt0(xb))
| sP0(sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[47]) ).
fof(mMulAsso,plain,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).
cnf(11,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(cnf,[status(esa)],[mMulAsso]) ).
cnf(l4,plain,
( ~ aInteger0(xp)
| ~ aInteger0(xq)
| ~ aInteger0(sK3)
| sdtasdt0(xp,sdtasdt0(xq,sK3)) = sdtasdt0(sdtasdt0(xp,xq),sK3) ),
inference(instantiation,[status(thm)],[11]) ).
fof(m__979,plain,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xp)
& xp != sz00
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__979) ).
cnf(34,plain,
aInteger0(xp),
inference(cnf,[status(esa)],[m__979]) ).
cnf(l6,plain,
aInteger0(xp),
inference(instantiation,[status(thm)],[34]) ).
cnf(52,plain,
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xb))
| ~ sP0(X0) ),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l3,plain,
( ~ aInteger0(sdtasdt0(xp,xm))
| sdtasdt0(xq,sdtasdt0(xp,xm)) != sdtpldt0(xa,smndt0(xb))
| ~ sP0(sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[52]) ).
fof(mIntMult,plain,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntMult) ).
cnf(4,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mIntMult]) ).
cnf(l2,plain,
( ~ aInteger0(xq)
| ~ aInteger0(sK3)
| aInteger0(sdtasdt0(xq,sK3)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(m__1003,plain,
( sdtasdt0(xp,xq) != sz00
& ? [W0] :
( aInteger0(W0)
& sdtasdt0(sdtasdt0(xp,xq),W0) = sdtpldt0(xa,smndt0(xb)) )
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1003) ).
cnf(40,plain,
sdtasdt0(sdtasdt0(xp,xq),sK3) = sdtpldt0(xa,smndt0(xb)),
inference(cnf,[status(esa)],[m__1003]) ).
cnf(l11,plain,
sdtasdt0(sdtasdt0(xp,xq),sK3) = sdtpldt0(xa,smndt0(xb)),
inference(instantiation,[status(thm)],[40]) ).
cnf(36,plain,
aInteger0(xq),
inference(cnf,[status(esa)],[m__979]) ).
cnf(l19,plain,
aInteger0(xq),
inference(instantiation,[status(thm)],[36]) ).
cnf(l9,plain,
aInteger0(xq),
inference(instantiation,[status(thm)],[36]) ).
cnf(39,plain,
aInteger0(sK3),
inference(cnf,[status(esa)],[m__1003]) ).
cnf(l18,plain,
aInteger0(sK3),
inference(instantiation,[status(thm)],[39]) ).
fof(m__1071,plain,
( sdtasdt0(xp,sdtasdt0(xq,xm)) = sdtpldt0(xa,smndt0(xb))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1071) ).
cnf(46,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf,[status(esa)],[m__1071]) ).
cnf(l13,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(instantiation,[status(thm)],[46]) ).
cnf(l10,plain,
aInteger0(sK3),
inference(instantiation,[status(thm)],[39]) ).
cnf(l7,plain,
( ~ aInteger0(xp)
| ~ aInteger0(xm)
| aInteger0(sdtasdt0(xp,xm)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(m__1032,plain,
( aInteger0(xm)
& sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1032) ).
cnf(43,plain,
aInteger0(xm),
inference(cnf,[status(esa)],[m__1032]) ).
cnf(l17,plain,
aInteger0(xm),
inference(instantiation,[status(thm)],[43]) ).
cnf(l15,plain,
aInteger0(xp),
inference(instantiation,[status(thm)],[34]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l4,l6,l3,l2,l11,l19,l9,l18,l13,l10,l7,l17,l15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM436+3 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 12:03:33 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.18/0.42 % SZS status Theorem for theBenchmark
% 0.18/0.42 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------