%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET704+4 : 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 : n020.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 03:32:33 PM UTC 2025
% Result : Theorem 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 6 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 10 ~; 8 |; 0 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(thI42,plain,
! [A,X] :
( member(X,A)
=> subset(product(A),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thI42) ).
fof(thI42_negated,plain,
~ ! [A,X] :
( member(X,A)
=> subset(product(A),X) ),
inference(negate_conjecture,[status(cth)],[thI42]) ).
cnf(29,plain,
member(sK6,sK5),
inference(cnf,[status(esa)],[thI42_negated]) ).
cnf(l0,plain,
member(sK6,sK5),
inference(instantiation,[status(thm)],[29]) ).
fof(product,plain,
! [X,A] :
( member(X,product(A))
<=> ! [Y] :
( member(Y,A)
=> member(X,Y) ) ),
file('Axioms/SET006+0.ax',product) ).
cnf(26,plain,
( ~ member(X0,product(X1))
| ~ member(X2,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[product]) ).
cnf(l1,plain,
( ~ member(sK1(product(sK5),sK6),product(sK5))
| ~ member(sK6,sK5)
| member(sK1(product(sK5),sK6),sK6) ),
inference(instantiation,[status(thm)],[26]) ).
fof(subset,plain,
! [A,B] :
( subset(A,B)
<=> ! [X] :
( member(X,A)
=> member(X,B) ) ),
file('Axioms/SET006+0.ax',subset) ).
cnf(1,plain,
( subset(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l7,plain,
( subset(product(sK5),sK6)
| member(sK1(product(sK5),sK6),product(sK5)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(30,plain,
~ subset(product(sK5),sK6),
inference(cnf,[status(esa)],[thI42_negated]) ).
cnf(l8,plain,
~ subset(product(sK5),sK6),
inference(instantiation,[status(thm)],[30]) ).
cnf(2,plain,
( ~ member(sK1(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subset]) ).
cnf(l2,plain,
( ~ member(sK1(product(sK5),sK6),sK6)
| subset(product(sK5),sK6) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l5,plain,
~ subset(product(sK5),sK6),
inference(instantiation,[status(thm)],[30]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l7,l8,l2,l5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET704+4 : TPTP v9.0.0. Released v2.2.0.
% 0.11/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.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 22:22:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 2
% 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: 6
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.36 % SZS status Theorem for theBenchmark
% 0.12/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------