%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU148+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 03:44:37 PM UTC 2025
% Result : Theorem 5.59s 1.04s
% Output : CNFRefutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 36 ( 10 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 13 ~; 10 |; 0 &)
% ( 4 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 23 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t6_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_zfmisc_1) ).
fof(t6_zfmisc_1_negated,plain,
~ ! [A,B] :
( subset(singleton(A),singleton(B))
=> A = B ),
inference(negate_conjecture,[status(cth)],[t6_zfmisc_1]) ).
cnf(113,plain,
subset(singleton(sK14),singleton(sK15)),
inference(cnf,[status(esa)],[t6_zfmisc_1_negated]) ).
cnf(l0,plain,
subset(singleton(sK14),singleton(sK15)),
inference(instantiation,[status(thm)],[113]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(38,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( ~ in(sK14,singleton(sK14))
| ~ subset(singleton(sK14),singleton(sK15))
| in(sK14,singleton(sK15)) ),
inference(instantiation,[status(thm)],[38]) ).
fof(l2_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(69,plain,
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
cnf(l2,plain,
( ~ subset(singleton(sK14),singleton(sK14))
| in(sK14,singleton(sK14)) ),
inference(instantiation,[status(thm)],[69]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(79,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l8,plain,
subset(singleton(sK14),singleton(sK14)),
inference(instantiation,[status(thm)],[79]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(8,plain,
( X0 != singleton(X1)
| ~ in(X2,X0)
| X2 = X1 ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l3,plain,
( singleton(sK15) != singleton(sK15)
| ~ in(sK14,singleton(sK15))
| sK14 = sK15 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(114,plain,
sK14 != sK15,
inference(cnf,[status(esa)],[t6_zfmisc_1_negated]) ).
cnf(l5,plain,
sK14 != sK15,
inference(instantiation,[status(thm)],[114]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU148+2 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n018.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 23:36:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 3
% 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: 7
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.20/0.37 % launching worker at depth: 10
% 5.59/1.04 % SZS status Theorem for theBenchmark
% 5.59/1.04 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------