%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM531+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 : n019.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 12:28:24 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 36 ( 5 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 35 ( 17 ~; 8 |; 6 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 10 ( 1 sgn 4 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ ( ~ ? [W1] : aElementOf0(W1,W0)
& W0 = slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ ( ~ ? [W1] : aElementOf0(W1,W0)
& W0 = slcrc0 ) ),
inference(negate_conjecture,[status(cth)],[m__]) ).
cnf(6,plain,
aSet0(sK2),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l0,plain,
aSet0(sK2),
inference(instantiation,[status(thm)],[6]) ).
fof(mDefEmp,plain,
! [W0] :
( W0 = slcrc0
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(3,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK1(X0),X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l1,plain,
( ~ aSet0(sK2)
| sK2 = slcrc0
| aElementOf0(sK1(sK2),sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(8,plain,
~ aElementOf0(X0,sK2),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l3,plain,
~ aElementOf0(sK1(sK2),sK2),
inference(instantiation,[status(thm)],[8]) ).
fof(mEmpFin,plain,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
cnf(4,plain,
isFinite0(slcrc0),
inference(cnf,[status(esa)],[mEmpFin]) ).
cnf(l9,plain,
isFinite0(slcrc0),
inference(instantiation,[status(thm)],[4]) ).
fof(mCountNFin,plain,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
cnf(5,plain,
( ~ aSet0(X0)
| ~ isFinite0(X0)
| ~ isCountable0(X0) ),
inference(cnf,[status(esa)],[mCountNFin]) ).
cnf(l6,plain,
( ~ aSet0(sK2)
| ~ isFinite0(sK2)
| ~ isCountable0(sK2) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(7,plain,
isCountable0(sK2),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l13,plain,
isCountable0(sK2),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l9,l6,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM531+2 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n019.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 12:42:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 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 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------