%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU143+2 : TPTP v9.0.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/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 03:44:36 PM UTC 2025
% Result : Theorem 3.10s 0.73s
% Output : CNFRefutation 3.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 47 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 14 |; 1 &)
% ( 4 <=>; 2 =>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 33 ( 4 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l1_zfmisc_1,plain,
! [A] : singleton(A) != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_zfmisc_1) ).
fof(l1_zfmisc_1_negated,plain,
~ ! [A] : singleton(A) != empty_set,
inference(negate_conjecture,[status(cth)],[l1_zfmisc_1]) ).
cnf(62,plain,
singleton(sK8) = empty_set,
inference(cnf,[status(esa)],[l1_zfmisc_1_negated]) ).
cnf(l0,plain,
singleton(sK8) = empty_set,
inference(instantiation,[status(thm)],[62]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(67,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l2,plain,
subset(singleton(sK8),singleton(sK8)),
inference(instantiation,[status(thm)],[67]) ).
fof(t19_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(A,C) )
=> subset(A,set_intersection2(B,C)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_xboole_1) ).
cnf(71,plain,
( ~ subset(X0,X1)
| ~ subset(X0,X2)
| subset(X0,set_intersection2(X1,X2)) ),
inference(cnf,[status(esa)],[t19_xboole_1]) ).
cnf(l3,plain,
( ~ subset(empty_set,empty_set)
| ~ subset(empty_set,empty_set)
| subset(empty_set,set_intersection2(empty_set,empty_set)) ),
inference(instantiation,[status(thm)],[71]) ).
fof(d3_tarski,plain,
! [A,B] :
( subset(A,B)
<=> ! [C] :
( in(C,A)
=> in(C,B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
cnf(32,plain,
( ~ in(X0,X1)
| ~ subset(X1,X2)
| in(X0,X2) ),
inference(cnf,[status(esa)],[d3_tarski]) ).
cnf(l4,plain,
( ~ in(set_union2(sK8,sK8),empty_set)
| ~ subset(empty_set,set_intersection2(empty_set,empty_set))
| in(set_union2(sK8,sK8),set_intersection2(empty_set,empty_set)) ),
inference(instantiation,[status(thm)],[32]) ).
fof(d1_tarski,plain,
! [A,B] :
( B = singleton(A)
<=> ! [C] :
( in(C,B)
<=> C = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
cnf(9,plain,
( X0 != singleton(X1)
| X2 != X1
| in(X2,X0) ),
inference(cnf,[status(esa)],[d1_tarski]) ).
cnf(l15,plain,
( empty_set != singleton(sK8)
| set_union2(sK8,sK8) != sK8
| in(set_union2(sK8,sK8),empty_set) ),
inference(instantiation,[status(thm)],[9]) ).
fof(idempotence_k2_xboole_0,plain,
! [A,B] : set_union2(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k2_xboole_0) ).
cnf(59,plain,
set_union2(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_k2_xboole_0]) ).
cnf(l17,plain,
set_union2(sK8,sK8) = sK8,
inference(instantiation,[status(thm)],[59]) ).
fof(d1_xboole_0,plain,
! [A] :
( A = empty_set
<=> ! [B] : ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_xboole_0) ).
cnf(14,plain,
( X0 != empty_set
| ~ in(X1,X0) ),
inference(cnf,[status(esa)],[d1_xboole_0]) ).
cnf(l5,plain,
( set_intersection2(empty_set,empty_set) != empty_set
| ~ in(set_union2(sK8,sK8),set_intersection2(empty_set,empty_set)) ),
inference(instantiation,[status(thm)],[14]) ).
fof(idempotence_k3_xboole_0,plain,
! [A,B] : set_intersection2(A,A) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
cnf(60,plain,
set_intersection2(X0,X0) = X0,
inference(cnf,[status(esa)],[idempotence_k3_xboole_0]) ).
cnf(l8,plain,
set_intersection2(empty_set,empty_set) = empty_set,
inference(instantiation,[status(thm)],[60]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l3,l4,l15,l17,l5,l8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU143+2 : TPTP v9.0.0. Released v3.3.0.
% 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Jul 21 23:35:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.19/0.35 % launching worker at depth: 1
% 0.19/0.35 % launching worker at depth: 2
% 0.19/0.35 % launching worker at depth: 6
% 0.19/0.35 % launching worker at depth: 5
% 0.19/0.35 % launching worker at depth: 3
% 0.19/0.35 % launching worker at depth: 4
% 0.19/0.35 % launching worker at depth: 7
% 0.19/0.35 % launching worker at depth: 8
% 0.19/0.35 % launching worker at depth: 9
% 0.19/0.37 % launching worker at depth: 10
% 3.10/0.73 % SZS status Theorem for theBenchmark
% 3.10/0.73 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------