%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SET008-1 : 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 : n019.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 0.20s 0.47s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named a_intersection_bDa)
% Comments :
%------------------------------------------------------------------------------
cnf(19,plain,
~ intersection(a,bDa,aI_bDa),
inference(cnf,[status(esa)],[a_intersection_bDa]) ).
cnf(l0,plain,
~ intersection(a,bDa,aI_bDa),
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(l1,plain,
( member(h(a,bDa,aI_bDa),bDa)
| member(h(a,bDa,aI_bDa),aI_bDa)
| intersection(a,bDa,aI_bDa) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(13,plain,
( ~ member(X0,X1)
| ~ member(X0,X2)
| ~ difference(X3,X1,X2) ),
inference(cnf,[status(esa)],[not_member_of_difference]) ).
cnf(l3,plain,
( ~ member(h(a,bDa,aI_bDa),aI_bDa)
| ~ member(h(a,bDa,aI_bDa),aI_bDa)
| ~ difference(aI_bDa,aI_bDa,aI_bDa) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(15,plain,
( member(k(X0,X1,X2),X0)
| member(k(X0,X1,X2),X2)
| difference(X0,X1,X2) ),
inference(cnf,[status(esa)],[difference_axiom2]) ).
cnf(l10,plain,
( member(k(aI_bDa,aI_bDa,aI_bDa),aI_bDa)
| member(k(aI_bDa,aI_bDa,aI_bDa),aI_bDa)
| difference(aI_bDa,aI_bDa,aI_bDa) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(20,plain,
~ member(X0,aI_bDa),
inference(cnf,[status(esa)],[prove_aI_bDa_is_empty]) ).
cnf(l14,plain,
~ member(k(aI_bDa,aI_bDa,aI_bDa),aI_bDa),
inference(instantiation,[status(thm)],[20]) ).
cnf(l12,plain,
~ member(k(aI_bDa,aI_bDa,aI_bDa),aI_bDa),
inference(instantiation,[status(thm)],[20]) ).
cnf(l2,plain,
( ~ member(h(a,bDa,aI_bDa),a)
| ~ member(h(a,bDa,aI_bDa),bDa)
| ~ difference(b,a,bDa) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(18,plain,
difference(b,a,bDa),
inference(cnf,[status(esa)],[b_minus_a]) ).
cnf(l4,plain,
difference(b,a,bDa),
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(l33,plain,
( member(h(a,bDa,aI_bDa),a)
| member(h(a,bDa,aI_bDa),aI_bDa)
| intersection(a,bDa,aI_bDa) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l34,plain,
~ member(h(a,bDa,aI_bDa),aI_bDa),
inference(instantiation,[status(thm)],[20]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l3,l10,l14,l12,l2,l4,l33,l34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET008-1 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n019.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
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 19:12:04 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 1
% 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: 5
% 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: 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
% 0.20/0.39 % launching worker at depth: 11
% 0.20/0.47 % SZS status Theorem for theBenchmark
% 0.20/0.47 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------