%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET002-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n029.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 03:31:01 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_equals_aUa)
% Comments :
%------------------------------------------------------------------------------
cnf(13,plain,
~ equal_sets(aUa,a),
inference(cnf,[status(esa)],[prove_a_equals_aUa]) ).
cnf(l0,plain,
~ equal_sets(aUa,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(5,plain,
( ~ subset(X0,X1)
| ~ subset(X1,X0)
| equal_sets(X1,X0) ),
inference(cnf,[status(esa)],[subsets_are_set_equal_sets]) ).
cnf(l1,plain,
( ~ subset(a,aUa)
| ~ subset(aUa,a)
| equal_sets(aUa,a) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom1]) ).
cnf(l2,plain,
( member(member_of_1_not_of_2(a,aUa),a)
| subset(a,aUa) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(7,plain,
( ~ member(X0,X1)
| ~ union(X1,X2,X3)
| member(X0,X3) ),
inference(cnf,[status(esa)],[member_of_set1_is_member_of_union]) ).
cnf(l3,plain,
( ~ member(member_of_1_not_of_2(a,aUa),a)
| ~ union(a,a,aUa)
| member(member_of_1_not_of_2(a,aUa),aUa) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(2,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom2]) ).
cnf(l6,plain,
( ~ member(member_of_1_not_of_2(a,aUa),aUa)
| subset(a,aUa) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(12,plain,
union(a,a,aUa),
inference(cnf,[status(esa)],[a_union_a_is_aUa]) ).
cnf(l4,plain,
union(a,a,aUa),
inference(instantiation,[status(thm)],[12]) ).
cnf(l5,plain,
( ~ member(member_of_1_not_of_2(aUa,a),a)
| subset(aUa,a) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(6,plain,
( ~ member(X0,X1)
| ~ union(X2,X3,X1)
| member(X0,X2)
| member(X0,X3) ),
inference(cnf,[status(esa)],[member_of_union_is_member_of_one_set]) ).
cnf(l8,plain,
( ~ member(member_of_1_not_of_2(aUa,a),aUa)
| ~ union(a,a,aUa)
| member(member_of_1_not_of_2(aUa,a),a)
| member(member_of_1_not_of_2(aUa,a),a) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l9,plain,
union(a,a,aUa),
inference(instantiation,[status(thm)],[12]) ).
cnf(l10,plain,
( member(member_of_1_not_of_2(aUa,a),aUa)
| subset(aUa,a) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l4,l5,l8,l9,l10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET002-1 : TPTP v9.0.0. Released v1.0.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n029.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 19:11:49 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.35 % launching worker at depth: 10
% 0.13/0.35 % launching worker at depth: 11
% 0.13/0.35 % SZS status Theorem for theBenchmark
% 0.13/0.35 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------