%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET009-1 : 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 : n018.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 03:31:03 PM UTC 2025
% Result : Unsatisfiable 0.19s 0.44s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_bDa_is_a_subset_of_bDd)
% Comments :
%------------------------------------------------------------------------------
cnf(15,plain,
~ subset(bDa,bDd),
inference(cnf,[status(esa)],[prove_bDa_is_a_subset_of_bDd]) ).
cnf(l0,plain,
~ subset(bDa,bDd),
inference(instantiation,[status(thm)],[15]) ).
cnf(2,plain,
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom2]) ).
cnf(l1,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),bDd)
| subset(bDa,bDd) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
( ~ member(X0,X1)
| ~ difference(X1,X2,X3)
| member(X0,X2)
| member(X0,X3) ),
inference(cnf,[status(esa)],[member_of_difference_or_set2]) ).
cnf(l2,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),b)
| ~ difference(b,d,bDd)
| member(member_of_1_not_of_2(bDa,bDd),d)
| member(member_of_1_not_of_2(bDa,bDd),bDd) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(14,plain,
difference(b,d,bDd),
inference(cnf,[status(esa)],[b_minus_d]) ).
cnf(l4,plain,
difference(b,d,bDd),
inference(instantiation,[status(thm)],[14]) ).
cnf(6,plain,
( ~ member(X0,X1)
| ~ difference(X2,X3,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[member_of_difference]) ).
cnf(l3,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),bDa)
| ~ difference(b,a,bDa)
| member(member_of_1_not_of_2(bDa,bDd),b) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(0,plain,
( ~ member(X0,X1)
| ~ subset(X1,X2)
| member(X0,X2) ),
inference(cnf,[status(esa)],[membership_in_subsets]) ).
cnf(l24,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),d)
| ~ subset(d,a)
| member(member_of_1_not_of_2(bDa,bDd),a) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
( member(member_of_1_not_of_2(X0,X1),X0)
| subset(X0,X1) ),
inference(cnf,[status(esa)],[subsets_axiom1]) ).
cnf(l9,plain,
( member(member_of_1_not_of_2(bDa,bDd),bDa)
| subset(bDa,bDd) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(13,plain,
difference(b,a,bDa),
inference(cnf,[status(esa)],[b_minus_a]) ).
cnf(l5,plain,
difference(b,a,bDa),
inference(instantiation,[status(thm)],[13]) ).
cnf(7,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ difference(X3,X1,X2) ),
inference(cnf,[status(esa)],[not_member_of_difference]) ).
cnf(l26,plain,
( ~ member(member_of_1_not_of_2(bDa,bDd),a)
| ~ member(member_of_1_not_of_2(bDa,bDd),bDa)
| ~ difference(b,a,bDa) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l35,plain,
difference(b,a,bDa),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
subset(d,a),
inference(cnf,[status(esa)],[d_is_a_subset_of_a]) ).
cnf(l25,plain,
subset(d,a),
inference(instantiation,[status(thm)],[12]) ).
cnf(l27,plain,
( member(member_of_1_not_of_2(bDa,bDd),bDa)
| subset(bDa,bDd) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l3,l24,l9,l5,l26,l35,l25,l27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET009-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n018.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 19:12:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 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: 4
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 2
% 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
% 0.13/0.37 % launching worker at depth: 12
% 0.19/0.44 % SZS status Theorem for theBenchmark
% 0.19/0.44 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------