%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM435+3 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n027.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 9.11s 1.51s
% Output : CNFRefutation 9.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 15 unt; 0 def)
% Number of atoms : 44 ( 15 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 36 ( 15 ~; 10 |; 9 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(45,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(instantiation,[status(thm)],[45]) ).
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/sandbox2/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(l59,plain,
( ~ aInteger0(xq)
| ~ aInteger0(xp)
| ~ aInteger0(xm)
| sdtasdt0(xq,sdtasdt0(xp,xm)) = sdtasdt0(sdtasdt0(xq,xp),xm) ),
inference(instantiation,[status(thm)],[11]) ).
fof(m__979,plain,
( aInteger0(xa)
& aInteger0(xb)
& aInteger0(xp)
& xp != sz00
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__979) ).
cnf(36,plain,
aInteger0(xq),
inference(cnf,[status(esa)],[m__979]) ).
cnf(l62,plain,
aInteger0(xq),
inference(instantiation,[status(thm)],[36]) ).
fof(m__1032,plain,
( aInteger0(xm)
& sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1032) ).
cnf(43,plain,
aInteger0(xm),
inference(cnf,[status(esa)],[m__1032]) ).
cnf(l108,plain,
aInteger0(xm),
inference(instantiation,[status(thm)],[43]) ).
cnf(34,plain,
aInteger0(xp),
inference(cnf,[status(esa)],[m__979]) ).
cnf(l63,plain,
aInteger0(xp),
inference(instantiation,[status(thm)],[34]) ).
fof(mMulComm,plain,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
cnf(12,plain,
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf,[status(esa)],[mMulComm]) ).
cnf(l56,plain,
( ~ aInteger0(xp)
| ~ aInteger0(xq)
| sdtasdt0(xp,xq) = sdtasdt0(xq,xp) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l76,plain,
aInteger0(xq),
inference(instantiation,[status(thm)],[36]) ).
cnf(44,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(cnf,[status(esa)],[m__1032]) ).
cnf(l3,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(instantiation,[status(thm)],[44]) ).
cnf(l84,plain,
aInteger0(xp),
inference(instantiation,[status(thm)],[34]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l59,l62,l108,l63,l56,l76,l3,l84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM435+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 12:03:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.19/0.42 % launching worker at depth: 12
% 9.11/1.51 % SZS status Theorem for theBenchmark
% 9.11/1.51 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------