%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM475+2 : 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 : 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 Jul 25 12:28:15 PM UTC 2025
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 54 ( 18 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 44 ( 17 ~; 15 |; 9 &)
% ( 0 <=>; 3 =>; 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 : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
xn = sdtasdt0(xl,xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
xn != sdtasdt0(xl,xr),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(78,plain,
xn != sdtasdt0(xl,xr),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xn != sdtasdt0(xl,xr),
inference(instantiation,[status(thm)],[78]) ).
fof(mAddCanc,plain,
! [W0,W1,W2] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1)
& aNaturalNumber0(W2) )
=> ( ( sdtpldt0(W0,W1) = sdtpldt0(W0,W2)
| sdtpldt0(W1,W0) = sdtpldt0(W2,W0) )
=> W1 = W2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddCanc) ).
cnf(17,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| ~ aNaturalNumber0(X2)
| sdtpldt0(X0,X1) != sdtpldt0(X0,X2)
| X1 = X2 ),
inference(cnf,[status(esa)],[mAddCanc]) ).
cnf(l1,plain,
( ~ aNaturalNumber0(sdtasdt0(xl,xp))
| ~ aNaturalNumber0(xn)
| ~ aNaturalNumber0(sdtasdt0(xl,xr))
| sdtpldt0(sdtasdt0(xl,xp),xn) != sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr))
| xn = sdtasdt0(xl,xr) ),
inference(instantiation,[status(thm)],[17]) ).
fof(mSortsB_02,plain,
! [W0,W1] :
( ( aNaturalNumber0(W0)
& aNaturalNumber0(W1) )
=> aNaturalNumber0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(4,plain,
( ~ aNaturalNumber0(X0)
| ~ aNaturalNumber0(X1)
| aNaturalNumber0(sdtasdt0(X0,X1)) ),
inference(cnf,[status(esa)],[mSortsB_02]) ).
cnf(l8,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xr)
| aNaturalNumber0(sdtasdt0(xl,xr)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(m__1422,plain,
( aNaturalNumber0(xr)
& sdtpldt0(xp,xr) = xq
& xr = sdtmndt0(xq,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1422) ).
cnf(74,plain,
aNaturalNumber0(xr),
inference(cnf,[status(esa)],[m__1422]) ).
cnf(l9,plain,
aNaturalNumber0(xr),
inference(instantiation,[status(thm)],[74]) ).
fof(m__1324,plain,
( aNaturalNumber0(xl)
& aNaturalNumber0(xm)
& aNaturalNumber0(xn) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
cnf(55,plain,
aNaturalNumber0(xl),
inference(cnf,[status(esa)],[m__1324]) ).
cnf(l10,plain,
aNaturalNumber0(xl),
inference(instantiation,[status(thm)],[55]) ).
cnf(57,plain,
aNaturalNumber0(xn),
inference(cnf,[status(esa)],[m__1324]) ).
cnf(l2,plain,
aNaturalNumber0(xn),
inference(instantiation,[status(thm)],[57]) ).
fof(m__1459,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1459) ).
cnf(77,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
inference(cnf,[status(esa)],[m__1459]) ).
cnf(l6,plain,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) = sdtpldt0(sdtasdt0(xl,xp),xn),
inference(instantiation,[status(thm)],[77]) ).
cnf(l3,plain,
( ~ aNaturalNumber0(xl)
| ~ aNaturalNumber0(xp)
| aNaturalNumber0(sdtasdt0(xl,xp)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(m__1360,plain,
( aNaturalNumber0(xp)
& xm = sdtasdt0(xl,xp)
& xp = sdtsldt0(xm,xl) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1360) ).
cnf(65,plain,
aNaturalNumber0(xp),
inference(cnf,[status(esa)],[m__1360]) ).
cnf(l17,plain,
aNaturalNumber0(xp),
inference(instantiation,[status(thm)],[65]) ).
cnf(l18,plain,
aNaturalNumber0(xl),
inference(instantiation,[status(thm)],[55]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l9,l10,l2,l6,l3,l17,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM475+2 : TPTP v9.0.0. Released v4.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n024.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 12:20:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % launching worker at depth: 3
% 0.19/0.35 % launching worker at depth: 5
% 0.19/0.35 % launching worker at depth: 1
% 0.19/0.35 % launching worker at depth: 7
% 0.19/0.35 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 4
% 0.19/0.35 % launching worker at depth: 6
% 0.19/0.35 % launching worker at depth: 2
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.35 % launching worker at depth: 10
% 0.19/0.40 % SZS status Theorem for theBenchmark
% 0.19/0.40 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------