%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU137+2 : 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 15.40s 2.28s
% Output : CNFRefutation 15.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of formulae : 29 ( 11 unt; 0 def)
% Number of atoms : 55 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 48 ( 22 ~; 19 |; 2 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t45_xboole_1,plain,
! [A,B] :
( subset(A,B)
=> B = set_union2(A,set_difference(B,A)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t45_xboole_1) ).
fof(t45_xboole_1_negated,plain,
~ ! [A,B] :
( subset(A,B)
=> B = set_union2(A,set_difference(B,A)) ),
inference(negate_conjecture,[status(cth)],[t45_xboole_1]) ).
cnf(70,plain,
subset(sK10,sK11),
inference(cnf,[status(esa)],[t45_xboole_1_negated]) ).
cnf(l0,plain,
subset(sK10,sK11),
inference(instantiation,[status(thm)],[70]) ).
fof(t12_xboole_1,plain,
! [A,B] :
( subset(A,B)
=> set_union2(A,B) = B ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_xboole_1) ).
cnf(48,plain,
( ~ subset(X0,X1)
| set_union2(X0,X1) = X1 ),
inference(cnf,[status(esa)],[t12_xboole_1]) ).
cnf(l1,plain,
( ~ subset(sK10,sK11)
| set_union2(sK10,sK11) = sK11 ),
inference(instantiation,[status(thm)],[48]) ).
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) ).
cnf(79,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| subset(set_union2(X0,X2),X1) ),
inference(cnf,[status(esa)],[t8_xboole_1]) ).
cnf(l103,plain,
( ~ subset(sK10,sK11)
| ~ subset(sK11,sK11)
| subset(set_union2(sK10,sK11),sK11) ),
inference(instantiation,[status(thm)],[79]) ).
fof(d10_xboole_0,plain,
! [A,B] :
( A = B
<=> ( subset(A,B)
& subset(B,A) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(3,plain,
( X0 != X1
| subset(X0,X1) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l127,plain,
( sK11 != sK11
| subset(sK11,sK11) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| X0 = X1 ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l101,plain,
( ~ subset(sK11,set_union2(sK10,set_difference(sK11,sK10)))
| ~ subset(set_union2(sK10,set_difference(sK11,sK10)),sK11)
| sK11 = set_union2(sK10,set_difference(sK11,sK10)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(71,plain,
sK11 != set_union2(sK10,set_difference(sK11,sK10)),
inference(cnf,[status(esa)],[t45_xboole_1_negated]) ).
cnf(l112,plain,
sK11 != set_union2(sK10,set_difference(sK11,sK10)),
inference(instantiation,[status(thm)],[71]) ).
cnf(l102,plain,
( ~ subset(sK10,sK11)
| ~ subset(set_difference(sK11,sK10),sK11)
| subset(set_union2(sK10,set_difference(sK11,sK10)),sK11) ),
inference(instantiation,[status(thm)],[79]) ).
fof(t36_xboole_1,plain,
! [A,B] : subset(set_difference(A,B),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t36_xboole_1) ).
cnf(60,plain,
subset(set_difference(X0,X1),X0),
inference(cnf,[status(esa)],[t36_xboole_1]) ).
cnf(l104,plain,
subset(set_difference(sK11,sK10),sK11),
inference(instantiation,[status(thm)],[60]) ).
cnf(l72,plain,
( ~ subset(sK11,set_union2(sK10,sK11))
| ~ subset(set_union2(sK10,sK11),sK11)
| sK11 = set_union2(sK10,sK11) ),
inference(instantiation,[status(thm)],[5]) ).
fof(t39_xboole_1,plain,
! [A,B] : set_union2(A,set_difference(B,A)) = set_union2(A,B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t39_xboole_1) ).
cnf(63,plain,
set_union2(X0,set_difference(X1,X0)) = set_union2(X0,X1),
inference(cnf,[status(esa)],[t39_xboole_1]) ).
cnf(l133,plain,
set_union2(sK10,set_difference(sK11,sK10)) = set_union2(sK10,sK11),
inference(instantiation,[status(thm)],[63]) ).
cnf(4,plain,
( X0 != X1
| subset(X1,X0) ),
inference(cnf,[status(esa)],[d10_xboole_0]) ).
cnf(l78,plain,
( set_union2(sK10,sK11) != sK11
| subset(sK11,set_union2(sK10,sK11)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l80,plain,
( set_union2(sK10,sK11) != sK11
| subset(set_union2(sK10,sK11),sK11) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l103,l127,l101,l112,l102,l104,l72,l133,l78,l80]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU137+2 : TPTP v9.0.0. Released v3.3.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.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 23:34:49 EDT 2025
% 0.12/0.35 % CPUTime :
% 0.12/0.35 % launching worker at depth: 4
% 0.12/0.35 % launching worker at depth: 5
% 0.12/0.35 % launching worker at depth: 3
% 0.12/0.35 % launching worker at depth: 1
% 0.12/0.35 % launching worker at depth: 2
% 0.12/0.35 % launching worker at depth: 6
% 0.12/0.35 % launching worker at depth: 7
% 0.12/0.35 % launching worker at depth: 8
% 0.12/0.35 % launching worker at depth: 9
% 0.12/0.36 % launching worker at depth: 10
% 1.42/0.51 % launching worker at depth: 11
% 15.40/2.28 % SZS status Theorem for theBenchmark
% 15.40/2.28 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------