%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET929+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 : n023.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 0.20s 0.43s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 24 ( 1 unt; 0 def)
% Number of atoms : 54 ( 16 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 50 ( 20 ~; 23 |; 3 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 24 ( 2 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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) ).
fof(t73_zfmisc_1_negated,plain,
~ ! [A,B,C] :
( set_difference(unordered_pair(A,B),C) = empty_set
<=> ( in(A,C)
& in(B,C) ) ),
inference(negate_conjecture,[status(cth)],[t73_zfmisc_1]) ).
cnf(13,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != empty_set
| ~ in(sK4,sK5)
| ~ in(sK3,sK5) ),
inference(cnf,[status(esa)],[t73_zfmisc_1_negated]) ).
cnf(l0,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != empty_set
| ~ in(sK4,sK5)
| ~ in(sK3,sK5) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(11,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = empty_set
| in(sK3,sK5) ),
inference(cnf,[status(esa)],[t73_zfmisc_1_negated]) ).
cnf(l1,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = empty_set
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(12,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = empty_set
| in(sK4,sK5) ),
inference(cnf,[status(esa)],[t73_zfmisc_1_negated]) ).
cnf(l3,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = empty_set
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[12]) ).
fof(t37_xboole_1,plain,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(6,plain,
( set_difference(X0,X1) != empty_set
| subset(X0,X1) ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
cnf(l22,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != empty_set
| subset(unordered_pair(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l44,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = empty_set
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[11]) ).
fof(t38_zfmisc_1,plain,
! [A,B,C] :
( subset(unordered_pair(A,B),C)
<=> ( in(A,C)
& in(B,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(10,plain,
( ~ in(X0,X1)
| ~ in(X2,X1)
| subset(unordered_pair(X0,X2),X1) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
cnf(l2,plain,
( ~ in(sK3,sK5)
| ~ in(sK4,sK5)
| subset(unordered_pair(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(7,plain,
( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
cnf(l4,plain,
( ~ subset(unordered_pair(sK3,sK4),sK5)
| set_difference(unordered_pair(sK3,sK4),sK5) = empty_set ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l10,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) = empty_set
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l45,plain,
( set_difference(unordered_pair(sK3,sK4),sK5) != empty_set
| subset(unordered_pair(sK3,sK4),sK5) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(8,plain,
( ~ subset(unordered_pair(X0,X1),X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
cnf(l48,plain,
( ~ subset(unordered_pair(sK3,sK4),sK5)
| in(sK3,sK5) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(9,plain,
( ~ subset(unordered_pair(X0,X1),X2)
| in(X1,X2) ),
inference(cnf,[status(esa)],[t38_zfmisc_1]) ).
cnf(l26,plain,
( ~ subset(unordered_pair(sK3,sK4),sK5)
| in(sK4,sK5) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l22,l44,l2,l4,l10,l45,l48,l26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SET929+1 : TPTP v9.0.0. Released v3.2.0.
% 0.10/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n023.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 23:02:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.20/0.43 % SZS status Theorem for theBenchmark
% 0.20/0.43 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------