%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET012-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 03:31:04 PM UTC 2025
% Result : Unsatisfiable 59.48s 7.82s
% Output : CNFRefutation 59.48s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_equals_c)
% Comments :
%------------------------------------------------------------------------------
cnf(23,plain,
~ equal_sets(a,c),
inference(cnf,[status(esa)],[prove_a_equals_c]) ).
cnf(l0,plain,
~ equal_sets(a,c),
inference(instantiation,[status(thm)],[23]) ).
cnf(17,plain,
( ~ equal_sets(X0,X1)
| ~ equal_sets(X1,X2)
| equal_sets(X0,X2) ),
inference(cnf,[status(esa)],[transitivity_for_set_equal]) ).
cnf(l1,plain,
( ~ equal_sets(a,complement(b))
| ~ equal_sets(complement(b),c)
| equal_sets(a,c) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(22,plain,
equal_sets(complement(b),c),
inference(cnf,[status(esa)],[complement_of_b_is_c]) ).
cnf(l3,plain,
equal_sets(complement(b),c),
inference(instantiation,[status(thm)],[22]) ).
cnf(14,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
inference(cnf,[status(esa)],[subsets_are_set_equal_sets]) ).
cnf(l2,plain,
( ~ subset(complement(b),a)
| ~ subset(a,complement(b))
| equal_sets(a,complement(b)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(3,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom2]) ).
cnf(l57,plain,
( ~ member(member_of_1_not_of_2(a,complement(b)),complement(b))
| subset(a,complement(b)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l4,plain,
( ~ member(member_of_1_not_of_2(complement(b),a),a)
| subset(complement(b),a) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(4,plain,
( member(X0,X1)
| member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[member_of_set_or_complement]) ).
cnf(l5,plain,
( member(member_of_1_not_of_2(complement(b),a),a)
| member(member_of_1_not_of_2(complement(b),a),complement(a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(1,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[membership_in_subsets]) ).
cnf(l10,plain,
( ~ member(member_of_1_not_of_2(complement(b),a),complement(a))
| ~ subset(complement(a),b)
| member(member_of_1_not_of_2(complement(b),a),b) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(12,plain,
( ~ equal_sets(X0,X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[set_equal_sets_are_subsets1]) ).
cnf(l13,plain,
( ~ equal_sets(complement(a),b)
| subset(complement(a),b) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(5,plain,
( ~ member(X0,X1)
| ~ member(X0,complement(X1)) ),
inference(cnf,[status(esa)],[not_member_of_set_and_complement]) ).
cnf(l23,plain,
( ~ member(member_of_1_not_of_2(complement(b),a),b)
| ~ member(member_of_1_not_of_2(complement(b),a),complement(b)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(2,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom1]) ).
cnf(l25,plain,
( member(member_of_1_not_of_2(complement(b),a),complement(b))
| subset(complement(b),a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[member_of_union_is_member_of_one_set]) ).
cnf(l58,plain,
( ~ member(member_of_1_not_of_2(a,complement(b)),union(complement(b),b))
| member(member_of_1_not_of_2(a,complement(b)),complement(b))
| member(member_of_1_not_of_2(a,complement(b)),b) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(21,plain,
equal_sets(complement(a),b),
inference(cnf,[status(esa)],[complement_of_a_is_b]) ).
cnf(l20,plain,
equal_sets(complement(a),b),
inference(instantiation,[status(thm)],[21]) ).
cnf(7,plain,
( ~ member(X0,X1)
| member(X0,union(X2,X1)) ),
inference(cnf,[status(esa)],[member_of_set2_is_member_of_union]) ).
cnf(l95,plain,
( ~ member(member_of_1_not_of_2(a,complement(b)),b)
| member(member_of_1_not_of_2(a,complement(b)),union(complement(b),b)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l96,plain,
( member(member_of_1_not_of_2(a,complement(b)),b)
| member(member_of_1_not_of_2(a,complement(b)),complement(b)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l83,plain,
( ~ member(member_of_1_not_of_2(a,complement(b)),b)
| ~ subset(b,complement(a))
| member(member_of_1_not_of_2(a,complement(b)),complement(a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(13,plain,
( ~ equal_sets(X0,X1)
| subset(X1,X0) ),
inference(cnf,[status(esa)],[set_equal_sets_are_subsets2]) ).
cnf(l84,plain,
( ~ equal_sets(complement(a),b)
| subset(b,complement(a)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l90,plain,
equal_sets(complement(a),b),
inference(instantiation,[status(thm)],[21]) ).
cnf(l85,plain,
( ~ member(member_of_1_not_of_2(a,complement(b)),a)
| ~ member(member_of_1_not_of_2(a,complement(b)),complement(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l159,plain,
( member(member_of_1_not_of_2(a,complement(b)),a)
| subset(a,complement(b)) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l57,l4,l5,l10,l13,l23,l25,l58,l20,l95,l96,l83,l84,l90,l85,l159]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET012-2 : TPTP v9.0.0. Bugfixed v2.1.0.
% 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/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 19:13:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 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
% 0.20/0.34 % launching worker at depth: 11
% 0.20/0.36 % launching worker at depth: 12
% 2.59/0.69 % launching worker at depth: 13
% 59.48/7.82 % SZS status Theorem for theBenchmark
% 59.48/7.82 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------