%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU162+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 : 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 03:44:41 PM UTC 2025
% Result : Theorem 255.72s 32.54s
% Output : CNFRefutation 255.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 27 ( 8 unt; 0 def)
% Number of atoms : 56 ( 13 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 52 ( 23 ~; 20 |; 2 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 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 : 33 ( 3 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t65_zfmisc_1,plain,
! [A,B] :
( set_difference(A,singleton(B)) = A
<=> ~ in(B,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t65_zfmisc_1) ).
fof(t65_zfmisc_1_negated,plain,
~ ! [A,B] :
( set_difference(A,singleton(B)) = A
<=> ~ in(B,A) ),
inference(negate_conjecture,[status(cth)],[t65_zfmisc_1]) ).
cnf(151,plain,
( set_difference(sK28,singleton(sK29)) != sK28
| in(sK29,sK28) ),
inference(cnf,[status(esa)],[t65_zfmisc_1_negated]) ).
cnf(l0,plain,
( set_difference(sK28,singleton(sK29)) != sK28
| in(sK29,sK28) ),
inference(instantiation,[status(thm)],[151]) ).
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(7,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l1,plain,
( ~ subset(set_difference(sK28,singleton(sK29)),sK28)
| ~ subset(sK28,set_difference(sK28,singleton(sK29)))
| set_difference(sK28,singleton(sK29)) = sK28 ),
inference(instantiation,[status(thm)],[7]) ).
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(96,plain,
( ~ subset(X0,X1)
| in(X2,X0)
| subset(X0,set_difference(X1,singleton(X2))) ),
inference(cnf,[status(esa)],[l3_zfmisc_1]) ).
cnf(l5,plain,
( ~ subset(sK28,sK28)
| in(sK29,sK28)
| subset(sK28,set_difference(sK28,singleton(sK29))) ),
inference(instantiation,[status(thm)],[96]) ).
fof(t36_xboole_1,plain,
! [A,B] : subset(set_difference(A,B),A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t36_xboole_1) ).
cnf(124,plain,
subset(set_difference(X0,X1),X0),
inference(cnf,[status(esa)],[t36_xboole_1]) ).
cnf(l2,plain,
subset(set_difference(sK28,singleton(sK29)),sK28),
inference(instantiation,[status(thm)],[124]) ).
fof(reflexivity_r1_tarski,plain,
! [A,B] : subset(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(106,plain,
subset(X0,X0),
inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).
cnf(l12,plain,
subset(sK28,sK28),
inference(instantiation,[status(thm)],[106]) ).
cnf(150,plain,
( ~ in(sK29,sK28)
| set_difference(sK28,singleton(sK29)) = sK28 ),
inference(cnf,[status(esa)],[t65_zfmisc_1_negated]) ).
cnf(l24,plain,
( ~ in(sK29,sK28)
| set_difference(sK28,singleton(sK29)) = sK28 ),
inference(instantiation,[status(thm)],[150]) ).
fof(d4_xboole_0,plain,
! [A,B,C] :
( C = set_difference(A,B)
<=> ! [D] :
( in(D,C)
<=> ( in(D,A)
& ~ in(D,B) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_xboole_0) ).
cnf(68,plain,
( X0 != set_difference(X1,X2)
| ~ in(X3,X2)
| ~ in(X3,X0) ),
inference(cnf,[status(esa)],[d4_xboole_0]) ).
cnf(l9,plain,
( sK28 != set_difference(sK28,singleton(sK29))
| ~ in(sK29,singleton(sK29))
| ~ in(sK29,sK28) ),
inference(instantiation,[status(thm)],[68]) ).
cnf(l19,plain,
( ~ in(sK29,sK28)
| set_difference(sK28,singleton(sK29)) = sK28 ),
inference(instantiation,[status(thm)],[150]) ).
fof(t37_zfmisc_1,plain,
! [A,B] :
( subset(singleton(A),B)
<=> in(A,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t37_zfmisc_1) ).
cnf(127,plain,
( ~ subset(singleton(X0),X1)
| in(X0,X1) ),
inference(cnf,[status(esa)],[t37_zfmisc_1]) ).
cnf(l15,plain,
( ~ subset(singleton(sK29),singleton(sK29))
| in(sK29,singleton(sK29)) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l30,plain,
subset(singleton(sK29),singleton(sK29)),
inference(instantiation,[status(thm)],[106]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l5,l2,l12,l24,l9,l19,l15,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU162+2 : TPTP v9.0.0. Released v3.3.0.
% 0.06/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n024.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 23:41:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 6
% 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: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.38 % launching worker at depth: 10
% 255.72/32.54 % SZS status Theorem for theBenchmark
% 255.72/32.54 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------