%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET874+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 03:32:54 PM UTC 2025
% Result : Theorem 0.19s 0.48s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 11 ( 5 unt; 0 def)
% Number of atoms : 21 ( 14 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 9 ~; 7 |; 0 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 16 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t14_zfmisc_1,plain,
! [A,B] : set_union2(singleton(A),unordered_pair(A,B)) = unordered_pair(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_zfmisc_1) ).
fof(t14_zfmisc_1_negated,plain,
~ ! [A,B] : set_union2(singleton(A),unordered_pair(A,B)) = unordered_pair(A,B),
inference(negate_conjecture,[status(cth)],[t14_zfmisc_1]) ).
cnf(17,plain,
set_union2(singleton(sK4),unordered_pair(sK4,sK5)) != unordered_pair(sK4,sK5),
inference(cnf,[status(esa)],[t14_zfmisc_1_negated]) ).
cnf(l0,plain,
set_union2(singleton(sK4),unordered_pair(sK4,sK5)) != unordered_pair(sK4,sK5),
inference(instantiation,[status(thm)],[17]) ).
fof(l23_zfmisc_1,plain,
! [A,B] :
( in(A,B)
=> set_union2(singleton(A),B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l23_zfmisc_1) ).
cnf(14,plain,
( ~ in(X0,X1)
| set_union2(singleton(X0),X1) = X1 ),
inference(cnf,[status(esa)],[l23_zfmisc_1]) ).
cnf(l1,plain,
( ~ in(sK4,unordered_pair(sK4,sK5))
| set_union2(singleton(sK4),unordered_pair(sK4,sK5)) = unordered_pair(sK4,sK5) ),
inference(instantiation,[status(thm)],[14]) ).
fof(d2_tarski,plain,
! [A,B,C] :
( C = unordered_pair(A,B)
<=> ! [D] :
( in(D,C)
<=> ( D = A
| D = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
cnf(4,plain,
( X0 != unordered_pair(X1,X2)
| X3 != X1
| in(X3,X0) ),
inference(cnf,[status(esa)],[d2_tarski]) ).
cnf(l2,plain,
( unordered_pair(sK4,sK5) != unordered_pair(sK4,sK5)
| sK4 != sK4
| in(sK4,unordered_pair(sK4,sK5)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET874+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n027.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 22:57:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 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: 7
% 0.12/0.34 % launching worker at depth: 6
% 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
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------