%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU140+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.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 03:44:35 PM UTC 2025
% Result : Theorem 5.85s 1.07s
% Output : CNFRefutation 5.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 20 ( 7 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 37 ( 17 ~; 10 |; 5 &)
% ( 1 <=>; 4 =>; 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 1 sgn 15 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t63_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t63_xboole_1) ).
fof(t63_xboole_1_negated,plain,
~ ! [A,B,C] :
( ( subset(A,B)
& disjoint(B,C) )
=> disjoint(A,C) ),
inference(negate_conjecture,[status(cth)],[t63_xboole_1]) ).
cnf(81,plain,
subset(sK11,sK12),
inference(cnf,[status(esa)],[t63_xboole_1_negated]) ).
cnf(l0,plain,
subset(sK11,sK12),
inference(instantiation,[status(thm)],[81]) ).
fof(t26_xboole_1,plain,
! [A,B,C] :
( subset(A,B)
=> subset(set_intersection2(A,C),set_intersection2(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_xboole_1) ).
cnf(58,plain,
( ~ subset(X0,X1)
| subset(set_intersection2(X0,X2),set_intersection2(X1,X2)) ),
inference(cnf,[status(esa)],[t26_xboole_1]) ).
cnf(l1,plain,
( ~ subset(sK11,sK12)
| subset(set_intersection2(sK11,sK13),set_intersection2(sK12,sK13)) ),
inference(instantiation,[status(thm)],[58]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(17,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l20,plain,
( ~ in(sK10(sK11,sK13),set_intersection2(sK11,sK13))
| ~ subset(set_intersection2(sK11,sK13),set_intersection2(sK12,sK13))
| in(sK10(sK11,sK13),set_intersection2(sK12,sK13)) ),
inference(instantiation,[status(thm)],[17]) ).
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/sandbox/benchmark/theBenchmark.p',t4_xboole_0) ).
cnf(78,plain,
( in(sK10(X0,X1),set_intersection2(X0,X1))
| disjoint(X0,X1) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
cnf(l39,plain,
( in(sK10(sK11,sK13),set_intersection2(sK11,sK13))
| disjoint(sK11,sK13) ),
inference(instantiation,[status(thm)],[78]) ).
cnf(83,plain,
~ disjoint(sK11,sK13),
inference(cnf,[status(esa)],[t63_xboole_1_negated]) ).
cnf(l40,plain,
~ disjoint(sK11,sK13),
inference(instantiation,[status(thm)],[83]) ).
cnf(79,plain,
( ~ in(X0,set_intersection2(X1,X2))
| ~ disjoint(X1,X2) ),
inference(cnf,[status(esa)],[t4_xboole_0]) ).
cnf(l23,plain,
( ~ in(sK10(sK11,sK13),set_intersection2(sK12,sK13))
| ~ disjoint(sK12,sK13) ),
inference(instantiation,[status(thm)],[79]) ).
cnf(82,plain,
disjoint(sK12,sK13),
inference(cnf,[status(esa)],[t63_xboole_1_negated]) ).
cnf(l25,plain,
disjoint(sK12,sK13),
inference(instantiation,[status(thm)],[82]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l20,l39,l40,l23,l25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.09 % Problem : SEU140+2 : TPTP v9.0.0. Released v3.3.0.
% 0.04/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n023.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Jul 21 23:35:04 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.16/0.34 % launching worker at depth: 10
% 2.13/0.57 % launching worker at depth: 11
% 5.85/1.07 % SZS status Theorem for theBenchmark
% 5.85/1.07 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------