%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SEU112+1 : TPTP v9.0.0. Released v3.2.0.
% 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 03:44:29 PM UTC 2025
% Result : Theorem 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 12 unt; 0 def)
% Number of atoms : 29 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 10 ~; 7 |; 1 &)
% ( 0 <=>; 2 =>; 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 : 22 ( 1 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(t25_finsub_1,plain,
! [A,B] : subset(set_union2(finite_subsets(A),finite_subsets(B)),finite_subsets(set_union2(A,B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t25_finsub_1) ).
fof(t25_finsub_1_negated,plain,
~ ! [A,B] : subset(set_union2(finite_subsets(A),finite_subsets(B)),finite_subsets(set_union2(A,B))),
inference(negate_conjecture,[status(cth)],[t25_finsub_1]) ).
cnf(57,plain,
~ subset(set_union2(finite_subsets(sK11),finite_subsets(sK12)),finite_subsets(set_union2(sK11,sK12))),
inference(cnf,[status(esa)],[t25_finsub_1_negated]) ).
cnf(l0,plain,
~ subset(set_union2(finite_subsets(sK11),finite_subsets(sK12)),finite_subsets(set_union2(sK11,sK12))),
inference(instantiation,[status(thm)],[57]) ).
fof(t8_xboole_1,plain,
! [A,B,C] :
( ( subset(A,B)
& subset(C,B) )
=> subset(set_union2(A,C),B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t8_xboole_1) ).
cnf(67,plain,
( ~ subset(X0,X1)
| ~ subset(X2,X1)
| subset(set_union2(X0,X2),X1) ),
inference(cnf,[status(esa)],[t8_xboole_1]) ).
cnf(l1,plain,
( ~ subset(finite_subsets(sK11),finite_subsets(set_union2(sK11,sK12)))
| ~ subset(finite_subsets(sK12),finite_subsets(set_union2(sK11,sK12)))
| subset(set_union2(finite_subsets(sK11),finite_subsets(sK12)),finite_subsets(set_union2(sK11,sK12))) ),
inference(instantiation,[status(thm)],[67]) ).
fof(t23_finsub_1,plain,
! [A,B] :
( subset(A,B)
=> subset(finite_subsets(A),finite_subsets(B)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_finsub_1) ).
cnf(56,plain,
( ~ subset(X0,X1)
| subset(finite_subsets(X0),finite_subsets(X1)) ),
inference(cnf,[status(esa)],[t23_finsub_1]) ).
cnf(l2,plain,
( ~ subset(sK11,set_union2(sK11,sK12))
| subset(finite_subsets(sK11),finite_subsets(set_union2(sK11,sK12))) ),
inference(instantiation,[status(thm)],[56]) ).
cnf(l3,plain,
( ~ subset(sK12,set_union2(sK11,sK12))
| subset(finite_subsets(sK12),finite_subsets(set_union2(sK11,sK12))) ),
inference(instantiation,[status(thm)],[56]) ).
fof(t7_xboole_1,plain,
! [A,B] : subset(A,set_union2(A,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(65,plain,
subset(X0,set_union2(X0,X1)),
inference(cnf,[status(esa)],[t7_xboole_1]) ).
cnf(l8,plain,
subset(sK12,set_union2(sK12,sK11)),
inference(instantiation,[status(thm)],[65]) ).
fof(commutativity_k2_xboole_0,plain,
! [A,B] : set_union2(A,B) = set_union2(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_k2_xboole_0) ).
cnf(7,plain,
set_union2(X0,X1) = set_union2(X1,X0),
inference(cnf,[status(esa)],[commutativity_k2_xboole_0]) ).
cnf(l7,plain,
set_union2(sK12,sK11) = set_union2(sK11,sK12),
inference(instantiation,[status(thm)],[7]) ).
cnf(l4,plain,
subset(sK11,set_union2(sK11,sK12)),
inference(instantiation,[status(thm)],[65]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l8,l7,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU112+1 : TPTP v9.0.0. Released v3.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 23:30:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------