%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU134+1 : 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 : n020.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 03:44:34 PM UTC 2025
% Result : Theorem 0.13s 0.34s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 2
% Syntax : Number of formulae : 13 ( 1 unt; 0 def)
% Number of atoms : 25 ( 12 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 23 ( 11 ~; 9 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t37_xboole_1,plain,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
fof(t37_xboole_1_negated,plain,
~ ! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
inference(negate_conjecture,[status(cth)],[t37_xboole_1]) ).
cnf(10,plain,
( set_difference(sK3,sK4) = empty_set
| subset(sK3,sK4) ),
inference(cnf,[status(esa)],[t37_xboole_1_negated]) ).
cnf(l0,plain,
( set_difference(sK3,sK4) = empty_set
| subset(sK3,sK4) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(11,plain,
( set_difference(sK3,sK4) != empty_set
| ~ subset(sK3,sK4) ),
inference(cnf,[status(esa)],[t37_xboole_1_negated]) ).
cnf(l2,plain,
( set_difference(sK3,sK4) != empty_set
| ~ subset(sK3,sK4) ),
inference(instantiation,[status(thm)],[11]) ).
fof(l32_xboole_1,plain,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l32_xboole_1) ).
cnf(13,plain,
( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[l32_xboole_1]) ).
cnf(l3,plain,
( ~ subset(sK3,sK4)
| set_difference(sK3,sK4) = empty_set ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1,plain,
( set_difference(sK3,sK4) != empty_set
| ~ subset(sK3,sK4) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(12,plain,
( set_difference(X0,X1) != empty_set
| subset(X0,X1) ),
inference(cnf,[status(esa)],[l32_xboole_1]) ).
cnf(l4,plain,
( set_difference(sK3,sK4) != empty_set
| subset(sK3,sK4) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l1,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU134+1 : TPTP v9.0.0. Released v3.3.0.
% 0.03/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n020.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 23:33:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.34 % SZS status Theorem for theBenchmark
% 0.13/0.34 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------