%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET073+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n031.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 03:31:25 PM UTC 2025
% Result : Theorem 2.40s 0.65s
% Output : CNFRefutation 2.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 22 ( 8 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 19 ( 10 ~; 5 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 2 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(corollary1_1,plain,
! [X,Y] :
( member(X,universal_class)
=> unordered_pair(X,Y) != null_class ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',corollary1_1) ).
fof(corollary1_1_negated,plain,
~ ! [X,Y] :
( member(X,universal_class)
=> unordered_pair(X,Y) != null_class ),
inference(negate_conjecture,[status(cth)],[corollary1_1]) ).
cnf(89,plain,
member(sK10,universal_class),
inference(cnf,[status(esa)],[corollary1_1_negated]) ).
cnf(l0,plain,
member(sK10,universal_class),
inference(instantiation,[status(thm)],[89]) ).
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(9,plain,
( ~ member(X0,universal_class)
| X0 != X1
| member(X0,unordered_pair(X1,X2)) ),
inference(cnf,[status(esa)],[unordered_pair_defn]) ).
cnf(l1,plain,
( ~ member(sK10,universal_class)
| sK10 != sK10
| member(sK10,unordered_pair(sK10,sK11)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(90,plain,
unordered_pair(sK10,sK11) = null_class,
inference(cnf,[status(esa)],[corollary1_1_negated]) ).
cnf(l7,plain,
unordered_pair(sK10,sK11) = null_class,
inference(instantiation,[status(thm)],[90]) ).
fof(null_class_defn,plain,
! [X] : ~ member(X,null_class),
file('Axioms/SET005+0.ax',null_class_defn) ).
cnf(31,plain,
~ member(X0,null_class),
inference(cnf,[status(esa)],[null_class_defn]) ).
cnf(l5,plain,
~ member(sK10,null_class),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET073+1 : TPTP v9.0.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 19:40:34 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 5
% 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: 4
% 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
% 0.12/0.38 % launching worker at depth: 10
% 2.40/0.65 % SZS status Theorem for theBenchmark
% 2.40/0.65 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------