%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM613+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 : n018.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 12:28:40 PM UTC 2025
% Result : Theorem 3.55s 0.81s
% Output : CNFRefutation 3.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 13 unt; 0 def)
% Number of atoms : 30 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 21 ( 9 ~; 6 |; 4 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
sbrdtbr0(xP) != xk,
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(417,plain,
sbrdtbr0(xP) != xk,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
sbrdtbr0(xP) != xk,
inference(instantiation,[status(thm)],[417]) ).
fof(mSuccEquSucc,plain,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( szszuzczcdt0(W0) = szszuzczcdt0(W1)
=> W0 = W1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
cnf(48,plain,
( szszuzczcdt0(X0) != szszuzczcdt0(X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| X0 = X1 ),
inference(cnf,[status(esa)],[mSuccEquSucc]) ).
cnf(l1,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != szszuzczcdt0(xk)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0)
| ~ aElementOf0(xk,szNzAzT0)
| sbrdtbr0(xP) = xk ),
inference(instantiation,[status(thm)],[48]) ).
fof(m__3533,plain,
( aElementOf0(xk,szNzAzT0)
& szszuzczcdt0(xk) = xK ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).
cnf(202,plain,
aElementOf0(xk,szNzAzT0),
inference(cnf,[status(esa)],[m__3533]) ).
cnf(l2,plain,
aElementOf0(xk,szNzAzT0),
inference(instantiation,[status(thm)],[202]) ).
fof(m__5255,plain,
( sbrdtbr0(xQ) = szszuzczcdt0(xk)
& szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ)
& aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5255) ).
cnf(415,plain,
szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
inference(cnf,[status(esa)],[m__5255]) ).
cnf(l5,plain,
szszuzczcdt0(sbrdtbr0(xP)) = sbrdtbr0(xQ),
inference(instantiation,[status(thm)],[415]) ).
cnf(414,plain,
sbrdtbr0(xQ) = szszuzczcdt0(xk),
inference(cnf,[status(esa)],[m__5255]) ).
cnf(l8,plain,
sbrdtbr0(xQ) = szszuzczcdt0(xk),
inference(instantiation,[status(thm)],[414]) ).
cnf(416,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(cnf,[status(esa)],[m__5255]) ).
cnf(l3,plain,
aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference(instantiation,[status(thm)],[416]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l5,l8,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM613+3 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 13:12:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.19/0.38 % launching worker at depth: 10
% 3.55/0.81 % SZS status Theorem for theBenchmark
% 3.55/0.81 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------