TSTP Solution File: SET852-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET852-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% Computer : n025.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 : 600s
% DateTime : Tue Jul 19 02:48:42 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET852-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 05:29:31 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % SZS status Unsatisfiable
% 0.12/0.34 % SZS output begin IncompleteProof
% 0.12/0.34 cnf(c0, axiom,
% 0.12/0.34 ~c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 ~c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a))),
% 0.12/0.34 inference(start, [], [c0])).
% 0.12/0.34
% 0.12/0.34 cnf(c2, axiom,
% 0.12/0.34 c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | c_lessequals(X3,c_Union(X0,X1),tc_set(X1)) | ~c_lessequals(X3,c_Zorn_OUnion__lemma0__1(X2,X3,X0,X1),tc_set(X1))).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 c_Zorn_Osucc(v_S,v_m,t_a) = X3).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 c_Union(v_Y,tc_set(t_a)) = c_Union(X0,X1)).
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 tc_set(tc_set(t_a)) = tc_set(X1)).
% 0.12/0.34 cnf(c3, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.34 cnf(c4, plain,
% 0.12/0.34 c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | ~c_lessequals(X3,c_Zorn_OUnion__lemma0__1(X2,X3,X0,X1),tc_set(X1)),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.34
% 0.12/0.34 cnf(c5, axiom,
% 0.12/0.34 ~c_lessequals(c_Union(v_Y,tc_set(t_a)),v_m,tc_set(tc_set(t_a)))).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 c_Union(X0,X1) = c_Union(v_Y,tc_set(t_a))).
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 X2 = v_m).
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 tc_set(X1) = tc_set(tc_set(t_a))).
% 0.12/0.34 cnf(c6, plain,
% 0.12/0.34 ~c_lessequals(X3,c_Zorn_OUnion__lemma0__1(X2,X3,X0,X1),tc_set(X1)),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.12/0.34 cnf(c7, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.12/0.34
% 0.12/0.35 cnf(c8, axiom,
% 0.12/0.35 ~c_in(X4,v_Y,tc_set(tc_set(t_a))) | c_lessequals(X4,v_m,tc_set(tc_set(t_a))) | c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),X4,tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(a6, assumption,
% 0.12/0.35 X3 = c_Zorn_Osucc(v_S,v_m,t_a)).
% 0.12/0.35 cnf(a7, assumption,
% 0.12/0.35 c_Zorn_OUnion__lemma0__1(X2,X3,X0,X1) = X4).
% 0.12/0.35 cnf(a8, assumption,
% 0.12/0.35 tc_set(X1) = tc_set(tc_set(t_a))).
% 0.12/0.35 cnf(c9, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 0.12/0.35 cnf(c10, plain,
% 0.12/0.35 ~c_in(X4,v_Y,tc_set(tc_set(t_a))) | c_lessequals(X4,v_m,tc_set(tc_set(t_a))),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c6, c8])).
% 0.12/0.35
% 0.12/0.35 cnf(c11, axiom,
% 0.12/0.35 c_lessequals(c_Union(X5,X6),X7,tc_set(X6)) | c_lessequals(X8,c_Union(X5,X6),tc_set(X6)) | c_in(c_Zorn_OUnion__lemma0__1(X7,X8,X5,X6),X5,tc_set(X6))).
% 0.12/0.35 cnf(a9, assumption,
% 0.12/0.35 X4 = c_Zorn_OUnion__lemma0__1(X7,X8,X5,X6)).
% 0.12/0.35 cnf(a10, assumption,
% 0.12/0.35 v_Y = X5).
% 0.12/0.35 cnf(a11, assumption,
% 0.12/0.35 tc_set(tc_set(t_a)) = tc_set(X6)).
% 0.12/0.35 cnf(c12, plain,
% 0.12/0.35 c_lessequals(X4,v_m,tc_set(tc_set(t_a))),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.12/0.35 cnf(c13, plain,
% 0.12/0.35 c_lessequals(c_Union(X5,X6),X7,tc_set(X6)) | c_lessequals(X8,c_Union(X5,X6),tc_set(X6)),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 0.12/0.35
% 0.12/0.35 cnf(c14, plain,
% 0.12/0.35 ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1))).
% 0.12/0.35 cnf(a12, assumption,
% 0.12/0.35 c_Union(X5,X6) = c_Union(X0,X1)).
% 0.12/0.35 cnf(a13, assumption,
% 0.12/0.35 X7 = X2).
% 0.12/0.35 cnf(a14, assumption,
% 0.12/0.35 tc_set(X6) = tc_set(X1)).
% 0.12/0.35 cnf(c15, plain,
% 0.12/0.35 c_lessequals(X8,c_Union(X5,X6),tc_set(X6)),
% 0.12/0.35 inference(predicate_reduction, [assumptions([a12, a13, a14])], [c13, c14])).
% 0.12/0.35
% 0.12/0.35 cnf(c16, plain,
% 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(a15, assumption,
% 0.12/0.35 X8 = c_Zorn_Osucc(v_S,v_m,t_a)).
% 0.12/0.35 cnf(a16, assumption,
% 0.12/0.35 c_Union(X5,X6) = c_Union(v_Y,tc_set(t_a))).
% 0.12/0.35 cnf(a17, assumption,
% 0.12/0.35 tc_set(X6) = tc_set(tc_set(t_a))).
% 0.12/0.35 cnf(c17, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(predicate_reduction, [assumptions([a15, a16, a17])], [c15, c16])).
% 0.12/0.35
% 0.12/0.35 cnf(c18, axiom,
% 0.12/0.35 c_lessequals(c_Union(X9,X10),X11,tc_set(X10)) | c_lessequals(X12,c_Union(X9,X10),tc_set(X10)) | ~c_lessequals(c_Zorn_OUnion__lemma0__1(X11,X12,X9,X10),X11,tc_set(X10))).
% 0.12/0.35 cnf(a18, assumption,
% 0.12/0.35 X4 = c_Zorn_OUnion__lemma0__1(X11,X12,X9,X10)).
% 0.12/0.35 cnf(a19, assumption,
% 0.12/0.35 v_m = X11).
% 0.12/0.35 cnf(a20, assumption,
% 0.12/0.35 tc_set(tc_set(t_a)) = tc_set(X10)).
% 0.12/0.35 cnf(c19, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c12, c18])).
% 0.12/0.35 cnf(c20, plain,
% 0.12/0.35 c_lessequals(c_Union(X9,X10),X11,tc_set(X10)) | c_lessequals(X12,c_Union(X9,X10),tc_set(X10)),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c12, c18])).
% 0.12/0.35
% 0.12/0.35 cnf(c21, plain,
% 0.12/0.35 ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1))).
% 0.12/0.35 cnf(a21, assumption,
% 0.12/0.35 c_Union(X9,X10) = c_Union(X0,X1)).
% 0.12/0.35 cnf(a22, assumption,
% 0.12/0.35 X11 = X2).
% 0.12/0.35 cnf(a23, assumption,
% 0.12/0.35 tc_set(X10) = tc_set(X1)).
% 0.12/0.35 cnf(c22, plain,
% 0.12/0.35 c_lessequals(X12,c_Union(X9,X10),tc_set(X10)),
% 0.12/0.35 inference(predicate_reduction, [assumptions([a21, a22, a23])], [c20, c21])).
% 0.12/0.35
% 0.12/0.35 cnf(c23, plain,
% 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,v_m,t_a),c_Union(v_Y,tc_set(t_a)),tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(a24, assumption,
% 0.12/0.35 X12 = c_Zorn_Osucc(v_S,v_m,t_a)).
% 0.12/0.35 cnf(a25, assumption,
% 0.12/0.35 c_Union(X9,X10) = c_Union(v_Y,tc_set(t_a))).
% 0.12/0.35 cnf(a26, assumption,
% 0.12/0.35 tc_set(X10) = tc_set(tc_set(t_a))).
% 0.12/0.35 cnf(c24, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c22, c23])).
% 0.12/0.35
% 0.12/0.35 cnf(c25, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(constraint_solving, [
% 0.12/0.35 bind(X0, v_Y),
% 0.12/0.35 bind(X1, tc_set(t_a)),
% 0.12/0.35 bind(X2, v_m),
% 0.12/0.35 bind(X3, c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.12/0.35 bind(X4, c_Zorn_OUnion__lemma0__1(X2,X3,X0,X1)),
% 0.12/0.35 bind(X5, v_Y),
% 0.12/0.35 bind(X6, tc_set(t_a)),
% 0.12/0.35 bind(X7, v_m),
% 0.12/0.35 bind(X8, c_Zorn_Osucc(v_S,v_m,t_a)),
% 0.12/0.35 bind(X9, v_Y),
% 0.12/0.35 bind(X10, tc_set(t_a)),
% 0.12/0.35 bind(X11, v_m),
% 0.12/0.35 bind(X12, c_Zorn_Osucc(v_S,v_m,t_a))
% 0.12/0.35 ],
% 0.12/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26])).
% 0.12/0.35
% 0.12/0.35 % SZS output end IncompleteProof
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