%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET964+1 : TPTP v9.0.0. Released v3.2.0.
% 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 03:33:03 PM UTC 2025
% Result : Theorem 4.72s 0.94s
% Output : CNFRefutation 4.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 35 ( 9 unt; 0 def)
% Number of atoms : 73 ( 9 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 73 ( 35 ~; 29 |; 5 &)
% ( 3 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 4 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t117_zfmisc_1,plain,
! [A,B,C] :
~ ( A != empty_set
& ( subset(cartesian_product2(B,A),cartesian_product2(C,A))
| subset(cartesian_product2(A,B),cartesian_product2(A,C)) )
& ~ subset(B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_zfmisc_1) ).
fof(t117_zfmisc_1_negated,plain,
~ ! [A,B,C] :
~ ( A != empty_set
& ( subset(cartesian_product2(B,A),cartesian_product2(C,A))
| subset(cartesian_product2(A,B),cartesian_product2(A,C)) )
& ~ subset(B,C) ),
inference(negate_conjecture,[status(cth)],[t117_zfmisc_1]) ).
cnf(27,plain,
( subset(cartesian_product2(sK15,sK14),cartesian_product2(sK16,sK14))
| subset(cartesian_product2(sK14,sK15),cartesian_product2(sK14,sK16)) ),
inference(cnf,[status(esa)],[t117_zfmisc_1_negated]) ).
cnf(l0,plain,
( subset(cartesian_product2(sK15,sK14),cartesian_product2(sK16,sK14))
| subset(cartesian_product2(sK14,sK15),cartesian_product2(sK14,sK16)) ),
inference(instantiation,[status(thm)],[27]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(14,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( ~ in(ordered_pair(sK11(sK15,sK16),sK1(sK14)),cartesian_product2(sK15,sK14))
| ~ subset(cartesian_product2(sK15,sK14),cartesian_product2(sK16,sK14))
| in(ordered_pair(sK11(sK15,sK16),sK1(sK14)),cartesian_product2(sK16,sK14)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l43,plain,
( ~ in(ordered_pair(sK1(sK14),sK11(sK15,sK16)),cartesian_product2(sK14,sK15))
| ~ subset(cartesian_product2(sK14,sK15),cartesian_product2(sK14,sK16))
| in(ordered_pair(sK1(sK14),sK11(sK15,sK16)),cartesian_product2(sK14,sK16)) ),
inference(instantiation,[status(thm)],[14]) ).
fof(l55_zfmisc_1,plain,
! [A,B,C,D] :
( in(ordered_pair(A,B),cartesian_product2(C,D))
<=> ( in(A,C)
& in(B,D) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l55_zfmisc_1) ).
cnf(22,plain,
( ~ in(X0,X1)
| ~ in(X2,X3)
| in(ordered_pair(X0,X2),cartesian_product2(X1,X3)) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l45,plain,
( ~ in(sK1(sK14),sK14)
| ~ in(sK11(sK15,sK16),sK15)
| in(ordered_pair(sK1(sK14),sK11(sK15,sK16)),cartesian_product2(sK14,sK15)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l2,plain,
( ~ in(sK11(sK15,sK16),sK15)
| ~ in(sK1(sK14),sK14)
| in(ordered_pair(sK11(sK15,sK16),sK1(sK14)),cartesian_product2(sK15,sK14)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(15,plain,
( in(sK11(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l3,plain,
( in(sK11(sK15,sK16),sK15)
| subset(sK15,sK16) ),
inference(instantiation,[status(thm)],[15]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(3,plain,
( X0 = empty_set
| in(sK1(X0),X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l46,plain,
( sK14 = empty_set
| in(sK1(sK14),sK14) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(26,plain,
sK14 != empty_set,
inference(cnf,[status(esa)],[t117_zfmisc_1_negated]) ).
cnf(l81,plain,
sK14 != empty_set,
inference(instantiation,[status(thm)],[26]) ).
cnf(l4,plain,
( sK14 = empty_set
| in(sK1(sK14),sK14) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l48,plain,
( in(sK11(sK15,sK16),sK15)
| subset(sK15,sK16) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(28,plain,
~ subset(sK15,sK16),
inference(cnf,[status(esa)],[t117_zfmisc_1_negated]) ).
cnf(l7,plain,
~ subset(sK15,sK16),
inference(instantiation,[status(thm)],[28]) ).
cnf(l72,plain,
~ subset(sK15,sK16),
inference(instantiation,[status(thm)],[28]) ).
cnf(l6,plain,
sK14 != empty_set,
inference(instantiation,[status(thm)],[26]) ).
cnf(21,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X1,X3) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l44,plain,
( ~ in(ordered_pair(sK1(sK14),sK11(sK15,sK16)),cartesian_product2(sK14,sK16))
| in(sK11(sK15,sK16),sK16) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(20,plain,
( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| in(X0,X2) ),
inference(cnf,[status(esa)],[l55_zfmisc_1]) ).
cnf(l83,plain,
( ~ in(ordered_pair(sK11(sK15,sK16),sK1(sK14)),cartesian_product2(sK16,sK14))
| in(sK11(sK15,sK16),sK16) ),
inference(instantiation,[status(thm)],[20]) ).
cnf(16,plain,
( ~ in(sK11(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l52,plain,
( ~ in(sK11(sK15,sK16),sK16)
| subset(sK15,sK16) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l62,plain,
~ subset(sK15,sK16),
inference(instantiation,[status(thm)],[28]) ).
cnf(l105,plain,
( ~ in(sK11(sK15,sK16),sK16)
| subset(sK15,sK16) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l106,plain,
~ subset(sK15,sK16),
inference(instantiation,[status(thm)],[28]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l43,l45,l2,l3,l46,l81,l4,l48,l7,l72,l6,l44,l83,l52,l62,l105,l106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET964+1 : TPTP v9.0.0. Released v3.2.0.
% 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 23:06:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 2
% 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: 5
% 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
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.39 % launching worker at depth: 11
% 4.72/0.94 % SZS status Theorem for theBenchmark
% 4.72/0.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------