%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU125+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 : n028.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 03:44:32 PM UTC 2025
% Result : Theorem 13.31s 2.02s
% Output : CNFRefutation 13.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 24 ( 10 unt; 0 def)
% Number of atoms : 50 ( 6 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 42 ( 16 ~; 18 |; 2 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t8_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(C,B) )
=> subset(set_union2(A,C),B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_xboole_1) ).
fof(t8_xboole_1_negated,plain,
~ ! [A,B,C] :
( ( subset(A,B)
& subset(C,B) )
=> subset(set_union2(A,C),B) ),
inference(negate_conjecture,[status(cth)],[t8_xboole_1]) ).
cnf(26,plain,
~ subset(set_union2(sK5,sK7),sK6),
inference(cnf,[status(esa)],[t8_xboole_1_negated]) ).
cnf(l0,plain,
~ subset(set_union2(sK5,sK7),sK6),
inference(instantiation,[status(thm)],[26]) ).
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(11,plain,
( in(sK2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l1,plain,
( in(sK2(set_union2(sK5,sK7),sK6),set_union2(sK5,sK7))
| subset(set_union2(sK5,sK7),sK6) ),
inference(instantiation,[status(thm)],[11]) ).
fof(d2_xboole_0,plain,
! [A,B,C] :
( C = set_union2(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
| in(D,B) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(2,plain,
( X0 != set_union2(X1,X2)
| ~ in(X3,X0)
| in(X3,X1)
| in(X3,X2) ),
inference(cnf,[status(esa)],[d2_xboole_0]) ).
cnf(l2,plain,
( set_union2(sK5,sK7) != set_union2(sK7,sK5)
| ~ in(sK2(set_union2(sK5,sK7),sK6),set_union2(sK5,sK7))
| in(sK2(set_union2(sK5,sK7),sK6),sK7)
| in(sK2(set_union2(sK5,sK7),sK6),sK5) ),
inference(instantiation,[status(thm)],[2]) ).
fof(commutativity_k2_xboole_0,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
cnf(1,plain,
set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
cnf(l24,plain,
set_union2(sK7,sK5) = set_union2(sK5,sK7),
inference(instantiation,[status(thm)],[1]) ).
cnf(10,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l39,plain,
( ~ in(sK2(set_union2(sK5,sK7),sK6),sK7)
| ~ subset(sK7,sK6)
| in(sK2(set_union2(sK5,sK7),sK6),sK6) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(25,plain,
subset(sK7,sK6),
inference(cnf,[status(esa)],[t8_xboole_1_negated]) ).
cnf(l41,plain,
subset(sK7,sK6),
inference(instantiation,[status(thm)],[25]) ).
cnf(12,plain,
( ~ in(sK2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l66,plain,
( ~ in(sK2(set_union2(sK5,sK7),sK6),sK6)
| subset(set_union2(sK5,sK7),sK6) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l68,plain,
( ~ in(sK2(set_union2(sK5,sK7),sK6),sK5)
| ~ subset(sK5,sK6)
| in(sK2(set_union2(sK5,sK7),sK6),sK6) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(24,plain,
subset(sK5,sK6),
inference(cnf,[status(esa)],[t8_xboole_1_negated]) ).
cnf(l69,plain,
subset(sK5,sK6),
inference(instantiation,[status(thm)],[24]) ).
cnf(l73,plain,
( ~ in(sK2(set_union2(sK5,sK7),sK6),sK6)
| subset(set_union2(sK5,sK7),sK6) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l24,l39,l41,l66,l68,l69,l73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU125+1 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n028.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 23:32:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 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: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 3.57/0.81 % launching worker at depth: 11
% 13.31/2.02 % SZS status Theorem for theBenchmark
% 13.31/2.02 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------