%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU130+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 : n024.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 03:44:33 PM UTC 2025
% Result : Theorem 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% Number of atoms : 41 ( 7 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 33 ( 13 ~; 12 |; 2 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 1 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t28_xboole_1,plain,
! [A,B] :
( subset(A,B)
=> set_intersection2(A,B) = A ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
fof(t28_xboole_1_negated,plain,
~ ! [A,B] :
( subset(A,B)
=> set_intersection2(A,B) = A ),
inference(negate_conjecture,[status(cth)],[t28_xboole_1]) ).
cnf(44,plain,
subset(sK7,sK8),
inference(cnf,[status(esa)],[t28_xboole_1_negated]) ).
cnf(l0,plain,
subset(sK7,sK8),
inference(instantiation,[status(thm)],[44]) ).
fof(t19_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(A,C) )
=> subset(A,set_intersection2(B,C)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(40,plain,
( ~ subset(X0,X1)
| ~ subset(X0,X2)
| subset(X0,set_intersection2(X1,X2)) ),
inference(cnf,[status(esa)],[t19_xboole_1]) ).
cnf(l1,plain,
( ~ subset(sK7,sK7)
| ~ subset(sK7,sK8)
| subset(sK7,set_intersection2(sK7,sK8)) ),
inference(instantiation,[status(thm)],[40]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l2,plain,
( ~ subset(set_intersection2(sK7,sK8),sK7)
| ~ subset(sK7,set_intersection2(sK7,sK8))
| set_intersection2(sK7,sK8) = sK7 ),
inference(instantiation,[status(thm)],[5]) ).
fof(t17_xboole_1,plain,
! [A,B] : subset(set_intersection2(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_xboole_1) ).
cnf(39,plain,
subset(set_intersection2(X0,X1),X0),
inference(cnf,[status(esa)],[t17_xboole_1]) ).
cnf(l4,plain,
subset(set_intersection2(sK7,sK8),sK7),
inference(instantiation,[status(thm)],[39]) ).
cnf(45,plain,
set_intersection2(sK7,sK8) != sK7,
inference(cnf,[status(esa)],[t28_xboole_1_negated]) ).
cnf(l3,plain,
set_intersection2(sK7,sK8) != sK7,
inference(instantiation,[status(thm)],[45]) ).
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(18,plain,
( ~ in(sK3(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l7,plain,
( ~ in(sK3(sK7,sK7),sK7)
| subset(sK7,sK7) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(17,plain,
( in(sK3(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l8,plain,
( in(sK3(sK7,sK7),sK7)
| subset(sK7,sK7) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3,l7,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : SEU130+2 : TPTP v9.0.0. Released v3.3.0.
% 0.01/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n024.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Mon Jul 21 23:33:18 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 9
% 0.10/0.27 % launching worker at depth: 10
% 0.10/0.27 % SZS status Theorem for theBenchmark
% 0.10/0.27 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------