%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : NUM531+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 : n025.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 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 10 unt; 0 def)
% Number of atoms : 38 ( 9 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 35 ( 17 ~; 10 |; 4 &)
% ( 1 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 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 : 9 ( 1 sgn 4 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__,plain,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> W0 != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(m___negated,plain,
~ ! [W0] :
( ( aSet0(W0)
& isCountable0(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(2,plain,
( X0 != slcrc0
| ~ aElementOf0(X1,X0) ),
inference(cnf,[status(esa)],[mDefEmp]) ).
cnf(l5,plain,
( slcrc0 != slcrc0
| ~ aElementOf0(sK1(sK2),slcrc0) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
sK2 = slcrc0,
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l8,plain,
sK2 = slcrc0,
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
isCountable0(sK2),
inference(cnf,[status(esa)],[m___negated]) ).
cnf(l12,plain,
isCountable0(sK2),
inference(instantiation,[status(thm)],[7]) ).
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(l4,plain,
( ~ aSet0(slcrc0)
| ~ isFinite0(slcrc0)
| ~ isCountable0(slcrc0) ),
inference(instantiation,[status(thm)],[5]) ).
fof(mEmpFin,plain,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
cnf(4,plain,
isFinite0(slcrc0),
inference(cnf,[status(esa)],[mEmpFin]) ).
cnf(l28,plain,
isFinite0(slcrc0),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l8,l12,l4,l28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM531+1 : TPTP v9.0.0. Released v4.0.0.
% 0.03/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n025.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
% 0.12/0.34 % 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: 4
% 0.12/0.34 % launching worker at depth: 5
% 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 % launching worker at depth: 10
% 0.19/0.36 % launching worker at depth: 11
% 0.19/0.36 % SZS status Theorem for theBenchmark
% 0.19/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------