%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET974+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 : n018.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 03:33:04 PM UTC 2025
% Result : Theorem 4.48s 0.90s
% Output : CNFRefutation 4.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 4 unt; 0 def)
% Number of atoms : 42 ( 1 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 20 ~; 14 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-5 aty)
% Number of variables : 34 ( 1 sgn 18 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t127_zfmisc_1,plain,
! [A,B,C,D] :
( ( disjoint(A,B)
| disjoint(C,D) )
=> disjoint(cartesian_product2(A,C),cartesian_product2(B,D)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t127_zfmisc_1) ).
fof(t127_zfmisc_1_negated,plain,
~ ! [A,B,C,D] :
( ( disjoint(A,B)
| disjoint(C,D) )
=> disjoint(cartesian_product2(A,C),cartesian_product2(B,D)) ),
inference(negate_conjecture,[status(cth)],[t127_zfmisc_1]) ).
cnf(12,plain,
( disjoint(sK5,sK6)
| disjoint(sK7,sK8) ),
inference(cnf,[status(esa)],[t127_zfmisc_1_negated]) ).
cnf(l0,plain,
( disjoint(sK5,sK6)
| disjoint(sK7,sK8) ),
inference(instantiation,[status(thm)],[12]) ).
fof(t4_xboole_0,plain,
! [A,B] :
( ~ ( ~ disjoint(A,B)
& ! [C] : ~ in(C,set_intersection2(A,B)) )
& ~ ( ? [C] : in(C,set_intersection2(A,B))
& disjoint(A,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_xboole_0) ).
cnf(15,plain,
( ~ in(X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
cnf(l1,plain,
( ~ in(sK3(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),sK5,sK7,sK6,sK8),set_intersection2(sK5,sK6))
| ~ disjoint(sK5,sK6) ),
inference(instantiation,[status(thm)],[15]) ).
fof(t104_zfmisc_1,plain,
! [A,B,C,D,E] :
~ ( in(A,set_intersection2(cartesian_product2(B,C),cartesian_product2(D,E)))
& ! [F,G] :
~ ( A = ordered_pair(F,G)
& in(F,set_intersection2(B,D))
& in(G,set_intersection2(C,E)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t104_zfmisc_1) ).
cnf(10,plain,
( ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)))
| in(sK3(X0,X1,X2,X3,X4),set_intersection2(X1,X3)) ),
inference(cnf,[status(esa)],[t104_zfmisc_1]) ).
cnf(l3,plain,
( ~ in(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)))
| in(sK3(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),sK5,sK7,sK6,sK8),set_intersection2(sK5,sK6)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l2,plain,
( ~ in(sK4(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),sK5,sK7,sK6,sK8),set_intersection2(sK7,sK8))
| ~ disjoint(sK7,sK8) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(11,plain,
( ~ in(X0,set_intersection2(cartesian_product2(X1,X2),cartesian_product2(X3,X4)))
| in(sK4(X0,X1,X2,X3,X4),set_intersection2(X2,X4)) ),
inference(cnf,[status(esa)],[t104_zfmisc_1]) ).
cnf(l12,plain,
( ~ in(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)))
| in(sK4(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),sK5,sK7,sK6,sK8),set_intersection2(sK7,sK8)) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(14,plain,
( in(sK9(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
cnf(l36,plain,
( in(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)))
| disjoint(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l13,plain,
( in(sK9(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),set_intersection2(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)))
| disjoint(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(13,plain,
~ disjoint(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),
inference(cnf,[status(esa)],[t127_zfmisc_1_negated]) ).
cnf(l17,plain,
~ disjoint(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),
inference(instantiation,[status(thm)],[13]) ).
cnf(l39,plain,
~ disjoint(cartesian_product2(sK5,sK7),cartesian_product2(sK6,sK8)),
inference(instantiation,[status(thm)],[13]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l12,l36,l13,l17,l39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET974+1 : TPTP v9.0.0. Released v3.2.0.
% 0.12/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.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 23:08:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.19/0.34 % launching worker at depth: 10
% 0.19/0.38 % launching worker at depth: 11
% 4.48/0.90 % SZS status Theorem for theBenchmark
% 4.48/0.90 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------