%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET071+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 03:31:24 PM UTC 2025
% Result : Theorem 12.88s 1.95s
% Output : CNFRefutation 12.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 37 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 36 ( 17 ~; 10 |; 5 &)
% ( 1 <=>; 3 =>; 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 : 16 ( 2 sgn 8 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(null_unordered_pair,plain,
! [X,Y] :
( ( ~ member(X,universal_class)
& ~ member(Y,universal_class) )
=> unordered_pair(X,Y) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',null_unordered_pair) ).
fof(null_unordered_pair_negated,plain,
~ ! [X,Y] :
( ( ~ member(X,universal_class)
& ~ member(Y,universal_class) )
=> unordered_pair(X,Y) = null_class ),
inference(negate_conjecture,[status(cth)],[null_unordered_pair]) ).
cnf(91,plain,
unordered_pair(sK10,sK11) != null_class,
inference(cnf,[status(esa)],[null_unordered_pair_negated]) ).
cnf(l0,plain,
unordered_pair(sK10,sK11) != null_class,
inference(instantiation,[status(thm)],[91]) ).
fof(regularity,plain,
! [X] :
( X != null_class
=> ? [U] :
( member(U,universal_class)
& member(U,X)
& disjoint(U,X) ) ),
file('Axioms/SET005+0.ax',regularity) ).
cnf(84,plain,
( member(sK8(X0),X0)
| X0 = null_class ),
inference(cnf,[status(esa)],[regularity]) ).
cnf(l1,plain,
( member(sK8(unordered_pair(sK10,sK11)),unordered_pair(sK10,sK11))
| unordered_pair(sK10,sK11) = null_class ),
inference(instantiation,[status(thm)],[84]) ).
fof(unordered_pair_defn,plain,
! [U,X,Y] :
( member(U,unordered_pair(X,Y))
<=> ( member(U,universal_class)
& ( U = X
| U = Y ) ) ),
file('Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(8,plain,
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
cnf(l2,plain,
( ~ member(sK8(unordered_pair(sK10,sK11)),unordered_pair(sK10,sK11))
| sK8(unordered_pair(sK10,sK11)) = sK10
| sK8(unordered_pair(sK10,sK11)) = sK11 ),
inference(instantiation,[status(thm)],[8]) ).
cnf(7,plain,
( ~ member(X0,unordered_pair(X1,X2))
| member(X0,universal_class) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
cnf(l9,plain,
( ~ member(sK8(unordered_pair(sK10,sK11)),unordered_pair(sK10,sK11))
| member(sK8(unordered_pair(sK10,sK11)),universal_class) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(89,plain,
~ member(sK10,universal_class),
inference(cnf,[status(esa)],[null_unordered_pair_negated]) ).
cnf(l29,plain,
~ member(sK10,universal_class),
inference(instantiation,[status(thm)],[89]) ).
cnf(90,plain,
~ member(sK11,universal_class),
inference(cnf,[status(esa)],[null_unordered_pair_negated]) ).
cnf(l15,plain,
~ member(sK11,universal_class),
inference(instantiation,[status(thm)],[90]) ).
cnf(l14,plain,
( ~ member(sK8(unordered_pair(sK10,sK11)),unordered_pair(sK10,sK11))
| member(sK8(unordered_pair(sK10,sK11)),universal_class) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l9,l29,l15,l14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET071+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n017.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 19:41:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 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: 3
% 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: 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
% 0.19/0.47 % launching worker at depth: 11
% 12.88/1.95 % SZS status Theorem for theBenchmark
% 12.88/1.95 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------