%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET576+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 : n021.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 03:32:15 PM UTC 2025
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 21 ( 4 unt; 0 def)
% Number of atoms : 41 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 18 ~; 12 |; 1 &)
% ( 2 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn 12 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_th17,plain,
! [B,C] :
( ! [D] :
( member(D,B)
=> ~ member(D,C) )
=> disjoint(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_th17) ).
fof(prove_th17_negated,plain,
~ ! [B,C] :
( ! [D] :
( member(D,B)
=> ~ member(D,C) )
=> disjoint(B,C) ),
inference(negate_conjecture,[status(cth)],[prove_th17]) ).
cnf(6,plain,
( ~ member(X0,sK3)
| ~ member(X0,sK4) ),
inference(cnf,[status(esa)],[prove_th17_negated]) ).
cnf(l0,plain,
( ~ member(sK1(sK4,sK3),sK3)
| ~ member(sK1(sK4,sK3),sK4) ),
inference(instantiation,[status(thm)],[6]) ).
fof(intersect_defn,plain,
! [B,C] :
( intersect(B,C)
<=> ? [D] :
( member(D,B)
& member(D,C) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersect_defn) ).
cnf(1,plain,
( ~ intersect(X0,X1)
| member(sK1(X0,X1),X1) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
cnf(l1,plain,
( ~ intersect(sK4,sK3)
| member(sK1(sK4,sK3),sK3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(0,plain,
( ~ intersect(X0,X1)
| member(sK1(X0,X1),X0) ),
inference(cnf,[status(esa)],[intersect_defn]) ).
cnf(l2,plain,
( ~ intersect(sK4,sK3)
| member(sK1(sK4,sK3),sK4) ),
inference(instantiation,[status(thm)],[0]) ).
fof(symmetry_of_intersect,plain,
! [B,C] :
( intersect(B,C)
=> intersect(C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_intersect) ).
cnf(5,plain,
( ~ intersect(X0,X1)
| intersect(X1,X0) ),
inference(cnf,[status(esa)],[symmetry_of_intersect]) ).
cnf(l3,plain,
( ~ intersect(sK3,sK4)
| intersect(sK4,sK3) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l4,plain,
( ~ intersect(sK3,sK4)
| intersect(sK4,sK3) ),
inference(instantiation,[status(thm)],[5]) ).
fof(disjoint_defn,plain,
! [B,C] :
( disjoint(B,C)
<=> ~ intersect(B,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disjoint_defn) ).
cnf(4,plain,
( disjoint(X0,X1)
| intersect(X0,X1) ),
inference(cnf,[status(esa)],[disjoint_defn]) ).
cnf(l5,plain,
( disjoint(sK3,sK4)
| intersect(sK3,sK4) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l8,plain,
( disjoint(sK3,sK4)
| intersect(sK3,sK4) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(7,plain,
~ disjoint(sK3,sK4),
inference(cnf,[status(esa)],[prove_th17_negated]) ).
cnf(l7,plain,
~ disjoint(sK3,sK4),
inference(instantiation,[status(thm)],[7]) ).
cnf(l10,plain,
~ disjoint(sK3,sK4),
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l8,l7,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET576+3 : TPTP v9.0.0. Released v2.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n021.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 22:01:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 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: 8
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % SZS status Theorem for theBenchmark
% 0.12/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------