%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET011-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n021.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 0.16s 0.49s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_intersection_b_is_aD_aDb)
% Comments :
%------------------------------------------------------------------------------
cnf(20,plain,
~ intersection(a,b,aD_aDb),
inference(cnf,[status(esa)],[prove_a_intersection_b_is_aD_aDb]) ).
cnf(l0,plain,
~ intersection(a,b,aD_aDb),
inference(instantiation,[status(thm)],[20]) ).
cnf(11,plain,
( ~ member(h(X0,X1,X2),X0)
| ~ member(h(X0,X1,X2),X1)
| ~ member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2) ),
inference(cnf,[status(esa)],[intersection_axiom3]) ).
cnf(l1,plain,
( ~ member(h(a,b,aD_aDb),a)
| ~ member(h(a,b,aD_aDb),b)
| ~ member(h(a,b,aD_aDb),aD_aDb)
| intersection(a,b,aD_aDb) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(14,plain,
( ~ member(X0,X1)
| ~ difference(X1,X2,X3)
| member(X0,X2)
| member(X0,X3) ),
inference(cnf,[status(esa)],[member_of_difference_or_set2]) ).
cnf(l3,plain,
( ~ member(h(a,b,aD_aDb),a)
| ~ difference(a,b,aDb)
| member(h(a,b,aD_aDb),b)
| member(h(a,b,aD_aDb),aDb) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(12,plain,
( ~ member(X0,X1)
| ~ difference(X2,X3,X1)
| member(X0,X2) ),
inference(cnf,[status(esa)],[member_of_difference]) ).
cnf(l2,plain,
( ~ member(h(a,b,aD_aDb),aD_aDb)
| ~ difference(a,aDb,aD_aDb)
| member(h(a,b,aD_aDb),a) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(19,plain,
difference(a,aDb,aD_aDb),
inference(cnf,[status(esa)],[a_minus_aDb]) ).
cnf(l5,plain,
difference(a,aDb,aD_aDb),
inference(instantiation,[status(thm)],[19]) ).
cnf(18,plain,
difference(a,b,aDb),
inference(cnf,[status(esa)],[a_minus_b]) ).
cnf(l10,plain,
difference(a,b,aDb),
inference(instantiation,[status(thm)],[18]) ).
cnf(9,plain,
( member(h(X0,X1,X2),X0)
| member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2) ),
inference(cnf,[status(esa)],[intersection_axiom1]) ).
cnf(l25,plain,
( member(h(a,b,aD_aDb),a)
| member(h(a,b,aD_aDb),aD_aDb)
| intersection(a,b,aD_aDb) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(13,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ difference(X3,X1,X2) ),
inference(cnf,[status(esa)],[not_member_of_difference]) ).
cnf(l29,plain,
( ~ member(h(a,b,aD_aDb),aDb)
| ~ member(h(a,b,aD_aDb),aD_aDb)
| ~ difference(a,aDb,aD_aDb) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l33,plain,
difference(a,aDb,aD_aDb),
inference(instantiation,[status(thm)],[19]) ).
cnf(l31,plain,
( ~ member(h(a,b,aD_aDb),aD_aDb)
| ~ difference(a,aDb,aD_aDb)
| member(h(a,b,aD_aDb),a) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l32,plain,
difference(a,aDb,aD_aDb),
inference(instantiation,[status(thm)],[19]) ).
cnf(10,plain,
( member(h(X0,X1,X2),X1)
| member(h(X0,X1,X2),X2)
| intersection(X0,X1,X2) ),
inference(cnf,[status(esa)],[intersection_axiom2]) ).
cnf(l30,plain,
( member(h(a,b,aD_aDb),b)
| member(h(a,b,aD_aDb),aD_aDb)
| intersection(a,b,aD_aDb) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l37,plain,
( member(h(a,b,aD_aDb),b)
| member(h(a,b,aD_aDb),aD_aDb)
| intersection(a,b,aD_aDb) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l41,plain,
( ~ member(h(a,b,aD_aDb),a)
| ~ difference(a,aDb,aD_aDb)
| member(h(a,b,aD_aDb),aDb)
| member(h(a,b,aD_aDb),aD_aDb) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l43,plain,
difference(a,aDb,aD_aDb),
inference(instantiation,[status(thm)],[19]) ).
cnf(l45,plain,
( member(h(a,b,aD_aDb),a)
| member(h(a,b,aD_aDb),aD_aDb)
| intersection(a,b,aD_aDb) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l42,plain,
( ~ member(h(a,b,aD_aDb),b)
| ~ member(h(a,b,aD_aDb),aDb)
| ~ difference(a,b,aDb) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l48,plain,
( member(h(a,b,aD_aDb),b)
| member(h(a,b,aD_aDb),aD_aDb)
| intersection(a,b,aD_aDb) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l54,plain,
difference(a,b,aDb),
inference(instantiation,[status(thm)],[18]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l2,l5,l10,l25,l29,l33,l31,l32,l30,l37,l41,l43,l45,l42,l48,l54]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SET011-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.11 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.30 % Computer : n021.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Jul 21 19:12:34 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % launching worker at depth: 2
% 0.10/0.31 % launching worker at depth: 1
% 0.10/0.31 % launching worker at depth: 3
% 0.10/0.31 % launching worker at depth: 6
% 0.10/0.31 % launching worker at depth: 4
% 0.10/0.31 % launching worker at depth: 5
% 0.10/0.31 % launching worker at depth: 7
% 0.10/0.31 % launching worker at depth: 8
% 0.10/0.31 % launching worker at depth: 9
% 0.16/0.31 % launching worker at depth: 10
% 0.16/0.33 % launching worker at depth: 11
% 0.16/0.49 % SZS status Theorem for theBenchmark
% 0.16/0.49 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------