%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM550+1 : 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 : n017.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 12:28:28 PM UTC 2025
% Result : Theorem 30.65s 4.17s
% Output : CNFRefutation 30.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 9 unt; 0 def)
% Number of atoms : 31 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 6 |; 5 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 5 ( 0 sgn 2 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
xQ != slcrc0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ( xQ != slcrc0 ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(123,plain,
xQ = slcrc0,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
xQ = slcrc0,
inference(instantiation,[status(thm)],[123]) ).
fof(mCardEmpty,plain,
! [W0] :
( aSet0(W0)
=> ( sbrdtbr0(W0) = sz00
<=> W0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
cnf(66,plain,
( ~ aSet0(X0)
| X0 != slcrc0
| sbrdtbr0(X0) = sz00 ),
inference(cnf,[status(esa)],[mCardEmpty]) ).
cnf(l1,plain,
( ~ aSet0(xQ)
| xQ != slcrc0
| sbrdtbr0(xQ) = sz00 ),
inference(instantiation,[status(thm)],[66]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(1,plain,
( X0 != slcrc0
| aSet0(X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l48,plain,
( xQ != slcrc0
| aSet0(xQ) ),
inference(instantiation,[status(thm)],[1]) ).
fof(m__2291,plain,
( aSet0(xQ)
& isFinite0(xQ)
& sbrdtbr0(xQ) = xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).
cnf(122,plain,
sbrdtbr0(xQ) = xk,
inference(cnf,[status(esa)],[m__2291]) ).
cnf(l13,plain,
sbrdtbr0(xQ) = xk,
inference(instantiation,[status(thm)],[122]) ).
fof(m__2202_02,plain,
( aSet0(xS)
& aSet0(xT)
& xk != sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
cnf(115,plain,
xk != sz00,
inference(cnf,[status(esa)],[m__2202_02]) ).
cnf(l3,plain,
xk != sz00,
inference(instantiation,[status(thm)],[115]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l48,l13,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.12 % Problem : NUM550+1 : TPTP v9.0.0. Released v4.0.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.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 12:47:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % launching worker at depth: 2
% 0.20/0.35 % launching worker at depth: 3
% 0.20/0.35 % launching worker at depth: 4
% 0.20/0.35 % launching worker at depth: 1
% 0.20/0.35 % launching worker at depth: 5
% 0.20/0.35 % launching worker at depth: 6
% 0.20/0.35 % launching worker at depth: 7
% 0.20/0.35 % launching worker at depth: 8
% 0.20/0.35 % launching worker at depth: 9
% 0.20/0.37 % launching worker at depth: 10
% 2.53/0.71 % launching worker at depth: 11
% 30.65/4.17 % SZS status Theorem for theBenchmark
% 30.65/4.17 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------