%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET603+3 : TPTP v9.0.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n028.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 03:32:20 PM UTC 2025
% Result : Theorem 0.14s 0.35s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 0 def)
% Number of atoms : 39 ( 10 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 35 ( 15 ~; 16 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 20 ( 2 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th74,plain,
! [B] : difference(B,empty_set) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th74) ).
fof(prove_th74_negated,plain,
~ ! [B] : difference(B,empty_set) = B,
inference(negate_conjecture,[status(cth)],[prove_th74]) ).
cnf(21,plain,
difference(sK5,empty_set) != sK5,
inference(cnf,[status(esa)],[prove_th74_negated]) ).
cnf(l0,plain,
difference(sK5,empty_set) != sK5,
inference(instantiation,[status(thm)],[21]) ).
fof(member_equal,plain,
! [B,C] :
( ! [D] :
( member(D,B)
<=> member(D,C) )
=> B = C ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_equal) ).
cnf(1,plain,
( ~ member(sK1(X0,X1),X0)
| ~ member(sK1(X0,X1),X1)
| X0 = X1 ),
inference(cnf,[status(esa)],[member_equal]) ).
cnf(l1,plain,
( ~ member(sK1(difference(sK5,empty_set),sK5),difference(sK5,empty_set))
| ~ member(sK1(difference(sK5,empty_set),sK5),sK5)
| difference(sK5,empty_set) = sK5 ),
inference(instantiation,[status(thm)],[1]) ).
fof(difference_defn,plain,
! [B,C,D] :
( member(D,difference(B,C))
<=> ( member(D,B)
& ~ member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',difference_defn) ).
cnf(4,plain,
( ~ member(X0,X1)
| member(X0,X2)
| member(X0,difference(X1,X2)) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l2,plain,
( ~ member(sK1(difference(sK5,empty_set),sK5),sK5)
| member(sK1(difference(sK5,empty_set),sK5),empty_set)
| member(sK1(difference(sK5,empty_set),sK5),difference(sK5,empty_set)) ),
inference(instantiation,[status(thm)],[4]) ).
fof(empty_set_defn,plain,
! [B] : ~ member(B,empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',empty_set_defn) ).
cnf(5,plain,
~ member(X0,empty_set),
inference(cnf,[status(esa)],[empty_set_defn]) ).
cnf(l7,plain,
~ member(sK1(difference(sK5,empty_set),sK5),empty_set),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
( X0 = X1
| member(sK1(X0,X1),X0)
| member(sK1(X0,X1),X1) ),
inference(cnf,[status(esa)],[member_equal]) ).
cnf(l4,plain,
( difference(sK5,empty_set) = sK5
| member(sK1(difference(sK5,empty_set),sK5),difference(sK5,empty_set))
| member(sK1(difference(sK5,empty_set),sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
( ~ member(X0,difference(X1,X2))
| member(X0,X1) ),
inference(cnf,[status(esa)],[difference_defn]) ).
cnf(l3,plain,
( ~ member(sK1(difference(sK5,empty_set),sK5),difference(sK5,empty_set))
| member(sK1(difference(sK5,empty_set),sK5),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l5,plain,
( difference(sK5,empty_set) = sK5
| member(sK1(difference(sK5,empty_set),sK5),difference(sK5,empty_set))
| member(sK1(difference(sK5,empty_set),sK5),sK5) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l7,l4,l3,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET603+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.34 % Computer : n028.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Jul 21 22:05:49 EDT 2025
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % launching worker at depth: 3
% 0.14/0.34 % launching worker at depth: 6
% 0.14/0.34 % launching worker at depth: 2
% 0.14/0.34 % launching worker at depth: 1
% 0.14/0.34 % launching worker at depth: 5
% 0.14/0.34 % launching worker at depth: 7
% 0.14/0.34 % launching worker at depth: 4
% 0.14/0.34 % launching worker at depth: 8
% 0.14/0.34 % launching worker at depth: 9
% 0.14/0.34 % launching worker at depth: 10
% 0.14/0.35 % SZS status Theorem for theBenchmark
% 0.14/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------