%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET958+1 : TPTP v9.0.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:33:03 PM UTC 2025
% Result : Theorem 262.39s 33.36s
% Output : CNFRefutation 262.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 5 unt; 0 def)
% Number of atoms : 44 ( 4 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 44 ( 20 ~; 14 |; 4 &)
% ( 1 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 27 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t111_zfmisc_1,plain,
! [A,B] :
( ( ! [C] :
~ ( in(C,A)
& ! [D,E] : C != ordered_pair(D,E) )
& ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) )
=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t111_zfmisc_1) ).
fof(t111_zfmisc_1_negated,plain,
~ ! [A,B] :
( ( ! [C] :
~ ( in(C,A)
& ! [D,E] : C != ordered_pair(D,E) )
& ! [C,D] :
( in(ordered_pair(C,D),A)
=> in(ordered_pair(C,D),B) ) )
=> subset(A,B) ),
inference(negate_conjecture,[status(cth)],[t111_zfmisc_1]) ).
cnf(10,plain,
( ~ in(X0,sK4)
| X0 = ordered_pair(sK6(X0),sK7(X0)) ),
inference(cnf,[status(esa)],[t111_zfmisc_1_negated]) ).
cnf(l0,plain,
( ~ in(sK1(sK4,sK5),sK4)
| sK1(sK4,sK5) = ordered_pair(sK6(sK1(sK4,sK5)),sK7(sK1(sK4,sK5))) ),
inference(instantiation,[status(thm)],[10]) ).
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(3,plain,
( in(sK1(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( in(sK1(sK4,sK5),sK4)
| subset(sK4,sK5) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4,plain,
( in(sK1(sK4,sK5),sK4)
| subset(sK4,sK5) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(12,plain,
~ subset(sK4,sK5),
inference(cnf,[status(esa)],[t111_zfmisc_1_negated]) ).
cnf(l78,plain,
~ subset(sK4,sK5),
inference(instantiation,[status(thm)],[12]) ).
cnf(l3,plain,
~ subset(sK4,sK5),
inference(instantiation,[status(thm)],[12]) ).
cnf(2,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l76,plain,
( ~ in(ordered_pair(sK6(sK1(sK4,sK5)),sK7(sK1(sK4,sK5))),sK4)
| ~ subset(sK4,sK5)
| in(ordered_pair(sK6(sK1(sK4,sK5)),sK7(sK1(sK4,sK5))),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(4,plain,
( ~ in(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l87,plain,
( ~ in(sK1(sK4,sK5),sK5)
| subset(sK4,sK5) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(11,plain,
( ~ in(ordered_pair(X0,X1),sK4)
| in(ordered_pair(X0,X1),sK5) ),
inference(cnf,[status(esa)],[t111_zfmisc_1_negated]) ).
cnf(l335,plain,
( ~ in(ordered_pair(sK6(sK1(sK4,sK5)),sK7(sK1(sK4,sK5))),sK4)
| in(ordered_pair(sK6(sK1(sK4,sK5)),sK7(sK1(sK4,sK5))),sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l254,plain,
( ~ in(sK1(sK4,sK5),sK5)
| subset(sK4,sK5) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l337,plain,
~ subset(sK4,sK5),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l78,l3,l76,l87,l335,l254,l337]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : SET958+1 : TPTP v9.0.0. Released v3.2.0.
% 0.02/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n020.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Mon Jul 21 23:05:34 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % launching worker at depth: 9
% 0.09/0.30 % launching worker at depth: 10
% 0.13/0.33 % launching worker at depth: 11
% 11.28/1.73 % launching worker at depth: 12
% 262.39/33.36 % SZS status Theorem for theBenchmark
% 262.39/33.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------