%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET899+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 03:32:56 PM UTC 2025
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 7 unt; 0 def)
% Number of atoms : 22 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t40_zfmisc_1,plain,
! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_zfmisc_1) ).
fof(t40_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ),
inference(negate_conjecture,[status(cth)],[t40_zfmisc_1]) ).
cnf(4,plain,
subset(sK3,sK4),
inference(cnf,[status(esa)],[t40_zfmisc_1_negated]) ).
cnf(l0,plain,
subset(sK3,sK4),
inference(instantiation,[status(thm)],[4]) ).
fof(l3_zfmisc_1,plain,
! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(7,plain,
( ~ subset(X0,X1)
| subset(X0,set_difference(X1,singleton(X2)))
| in(X2,X0) ),
inference(cnf,[status(esa)],[l3_zfmisc_1]) ).
cnf(l1,plain,
( ~ subset(sK3,sK4)
| subset(sK3,set_difference(sK4,singleton(sK5)))
| in(sK5,sK3) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(6,plain,
~ subset(sK3,set_difference(sK4,singleton(sK5))),
inference(cnf,[status(esa)],[t40_zfmisc_1_negated]) ).
cnf(l2,plain,
~ subset(sK3,set_difference(sK4,singleton(sK5))),
inference(instantiation,[status(thm)],[6]) ).
cnf(5,plain,
~ in(sK5,sK3),
inference(cnf,[status(esa)],[t40_zfmisc_1_negated]) ).
cnf(l3,plain,
~ in(sK5,sK3),
inference(instantiation,[status(thm)],[5]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET899+1 : TPTP v9.0.0. Released v3.2.0.
% 0.04/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35 % Computer : n027.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Jul 21 23:00:04 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % launching worker at depth: 5
% 0.14/0.35 % launching worker at depth: 6
% 0.14/0.35 % launching worker at depth: 3
% 0.14/0.35 % launching worker at depth: 7
% 0.14/0.35 % launching worker at depth: 1
% 0.14/0.35 % launching worker at depth: 2
% 0.14/0.35 % launching worker at depth: 4
% 0.14/0.35 % launching worker at depth: 8
% 0.14/0.35 % launching worker at depth: 9
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------