%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET930+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 : 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 03:33:00 PM UTC 2025
% Result : Theorem 7.23s 1.28s
% Output : CNFRefutation 7.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 26 ( 13 unt; 0 def)
% Number of atoms : 55 ( 32 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 59 ( 30 ~; 17 |; 9 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t74_zfmisc_1,plain,
! [A,B,C] :
~ ( set_difference(unordered_pair(A,B),C) != empty_set
& set_difference(unordered_pair(A,B),C) != singleton(A)
& set_difference(unordered_pair(A,B),C) != singleton(B)
& set_difference(unordered_pair(A,B),C) != unordered_pair(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t74_zfmisc_1) ).
fof(t74_zfmisc_1_negated,plain,
~ ! [A,B,C] :
~ ( set_difference(unordered_pair(A,B),C) != empty_set
& set_difference(unordered_pair(A,B),C) != singleton(A)
& set_difference(unordered_pair(A,B),C) != singleton(B)
& set_difference(unordered_pair(A,B),C) != unordered_pair(A,B) ),
inference(negate_conjecture,[status(cth)],[t74_zfmisc_1]) ).
cnf(15,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != empty_set,
inference(cnf,[status(esa)],[t74_zfmisc_1_negated]) ).
cnf(l0,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != empty_set,
inference(instantiation,[status(thm)],[15]) ).
fof(t73_zfmisc_1,plain,
! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = empty_set
<=> ( in(A,C)
& in(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_zfmisc_1) ).
cnf(14,plain,
( ~ in(X0,X1)
| ~ in(X2,X1)
| set_difference(unordered_pair(X0,X2),X1) = empty_set ),
inference(cnf,[status(esa)],[t73_zfmisc_1]) ).
cnf(l1,plain,
( ~ in(sK3,sK5)
| ~ in(sK4,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = empty_set ),
inference(instantiation,[status(thm)],[14]) ).
fof(l39_zfmisc_1,plain,
! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = singleton(A)
<=> ( ~ in(A,C)
& ( in(B,C)
| A = B ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l39_zfmisc_1) ).
cnf(5,plain,
( ~ in(X0,X1)
| set_difference(unordered_pair(X2,X0),X1) = singleton(X2)
| in(X2,X1) ),
inference(cnf,[status(esa)],[l39_zfmisc_1]) ).
cnf(l3,plain,
( ~ in(sK3,sK5)
| set_difference(unordered_pair(sK4,sK3),sK5) = singleton(sK4)
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[5]) ).
fof(t72_zfmisc_1,plain,
! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = unordered_pair(A,B)
<=> ( ~ in(A,C)
& ~ in(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t72_zfmisc_1) ).
cnf(11,plain,
( set_difference(unordered_pair(X0,X1),X2) = unordered_pair(X0,X1)
| in(X0,X2)
| in(X1,X2) ),
inference(cnf,[status(esa)],[t72_zfmisc_1]) ).
cnf(l2,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = unordered_pair(sK3,sK4)
| in(sK3,sK5)
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l61,plain,
( ~ in(sK4,sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = singleton(sK3)
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l11,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = unordered_pair(sK3,sK4)
| in(sK3,sK5)
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(18,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != unordered_pair(sK3,sK4),
inference(cnf,[status(esa)],[t74_zfmisc_1_negated]) ).
cnf(l6,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != unordered_pair(sK3,sK4),
inference(instantiation,[status(thm)],[18]) ).
cnf(l16,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != unordered_pair(sK3,sK4),
inference(instantiation,[status(thm)],[18]) ).
cnf(16,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3),
inference(cnf,[status(esa)],[t74_zfmisc_1_negated]) ).
cnf(l63,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK3),
inference(instantiation,[status(thm)],[16]) ).
fof(commutativity_k2_tarski,plain,
! [A,B] : unordered_pair(A,B) = unordered_pair(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_tarski) ).
cnf(1,plain,
unordered_pair(X0,X1) = unordered_pair(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_tarski]) ).
cnf(l28,plain,
unordered_pair(sK3,sK4) = unordered_pair(sK4,sK3),
inference(instantiation,[status(thm)],[1]) ).
cnf(17,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK4),
inference(cnf,[status(esa)],[t74_zfmisc_1_negated]) ).
cnf(l10,plain,
set_difference(unordered_pair(sK3,sK4),sK5) != singleton(sK4),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l61,l11,l6,l16,l63,l28,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET930+1 : TPTP v9.0.0. Released v3.2.0.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 23:02:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 4
% 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: 3
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.37 % launching worker at depth: 11
% 2.52/0.67 % launching worker at depth: 12
% 7.23/1.28 % SZS status Theorem for theBenchmark
% 7.23/1.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------