%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU146+1 : 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 8.66s 1.41s
% Output : CNFRefutation 8.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 8 unt; 0 def)
% Number of atoms : 69 ( 23 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 63 ( 27 ~; 29 |; 1 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 29 ( 2 sgn 16 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l4_zfmisc_1,plain,
! [A,B] :
( subset(A,singleton(B))
<=> ( A = empty_set
| A = singleton(B) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l4_zfmisc_1) ).
fof(l4_zfmisc_1_negated,plain,
~ ! [A,B] :
( subset(A,singleton(B))
<=> ( A = empty_set
| A = singleton(B) ) ),
inference(negate_conjecture,[status(cth)],[l4_zfmisc_1]) ).
cnf(8,plain,
( sK1 = empty_set
| sK1 = singleton(sK2)
| subset(sK1,singleton(sK2)) ),
inference(cnf,[status(esa)],[l4_zfmisc_1_negated]) ).
cnf(l0,plain,
( sK1 = empty_set
| sK1 = singleton(sK2)
| subset(sK1,singleton(sK2)) ),
inference(instantiation,[status(thm)],[8]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(2,plain,
( X0 != X1
| subset(X1,X0) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l2,plain,
( singleton(sK2) != sK1
| subset(sK1,singleton(sK2)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(10,plain,
( sK1 != singleton(sK2)
| ~ subset(sK1,singleton(sK2)) ),
inference(cnf,[status(esa)],[l4_zfmisc_1_negated]) ).
cnf(l4,plain,
( sK1 != singleton(sK2)
| ~ subset(sK1,singleton(sK2)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(l3_zfmisc_1,plain,
! [A,B,C] :
( subset(A,B)
=> ( in(C,A)
| subset(A,set_difference(B,singleton(C))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(7,plain,
( ~ subset(X0,X1)
| in(X2,X0)
| subset(X0,set_difference(X1,singleton(X2))) ),
inference(cnf,[status(esa)],[l3_zfmisc_1]) ).
cnf(l7,plain,
( ~ subset(sK1,singleton(sK2))
| in(sK2,sK1)
| subset(sK1,set_difference(singleton(sK2),singleton(sK2))) ),
inference(instantiation,[status(thm)],[7]) ).
fof(t37_xboole_1,plain,
! [A,B] :
( set_difference(A,B) = empty_set
<=> subset(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(16,plain,
( ~ subset(X0,X1)
| set_difference(X0,X1) = empty_set ),
inference(cnf,[status(esa)],[t37_xboole_1]) ).
cnf(l44,plain,
( ~ subset(singleton(sK2),singleton(sK2))
| set_difference(singleton(sK2),singleton(sK2)) = empty_set ),
inference(instantiation,[status(thm)],[16]) ).
fof(l2_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(6,plain,
( ~ in(X0,X1)
| subset(singleton(X0),X1) ),
inference(cnf,[status(esa)],[l2_zfmisc_1]) ).
cnf(l65,plain,
( ~ in(sK2,sK1)
| subset(singleton(sK2),sK1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(3,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l15,plain,
( ~ subset(sK1,empty_set)
| ~ subset(empty_set,sK1)
| sK1 = empty_set ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l66,plain,
( ~ subset(sK1,singleton(sK2))
| ~ subset(singleton(sK2),sK1)
| sK1 = singleton(sK2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(9,plain,
( sK1 != empty_set
| ~ subset(sK1,singleton(sK2)) ),
inference(cnf,[status(esa)],[l4_zfmisc_1_negated]) ).
cnf(l29,plain,
( sK1 != empty_set
| ~ subset(sK1,singleton(sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(13,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l52,plain,
subset(singleton(sK2),singleton(sK2)),
inference(instantiation,[status(thm)],[13]) ).
cnf(l139,plain,
( sK1 != singleton(sK2)
| ~ subset(sK1,singleton(sK2)) ),
inference(instantiation,[status(thm)],[10]) ).
fof(t2_xboole_1,plain,
! [A] : subset(empty_set,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(14,plain,
subset(empty_set,X0),
inference(cnf,[status(esa)],[t2_xboole_1]) ).
cnf(l100,plain,
subset(empty_set,singleton(sK2)),
inference(instantiation,[status(thm)],[14]) ).
cnf(l126,plain,
( sK1 != empty_set
| ~ subset(sK1,singleton(sK2)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l18,plain,
subset(empty_set,sK1),
inference(instantiation,[status(thm)],[14]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l4,l7,l44,l65,l15,l66,l29,l52,l139,l100,l126,l18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU146+1 : TPTP v9.0.0. Released v3.3.0.
% 0.08/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Jul 21 23:36:19 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 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: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 0.19/0.45 % launching worker at depth: 11
% 8.66/1.41 % SZS status Theorem for theBenchmark
% 8.66/1.41 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------