TSTP Solution File: SET847-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET847-2 : 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 : n003.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 02:48:39 EDT 2022
% Result : Unsatisfiable 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET847-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jul 9 21:45:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output begin IncompleteProof
% 0.12/0.37 cnf(c0, axiom,
% 0.12/0.37 ~c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))).
% 0.12/0.37 cnf(c1, plain,
% 0.12/0.37 ~c_in(X0,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a))),
% 0.12/0.37 inference(start, [], [c0])).
% 0.12/0.37
% 0.12/0.37 cnf(c2, axiom,
% 0.12/0.37 c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) | c_in(X1,X3,X4) | ~c_in(X1,X2,X4)).
% 0.12/0.37 cnf(a0, assumption,
% 0.12/0.37 X0 = X1).
% 0.12/0.37 cnf(a1, assumption,
% 0.12/0.37 c_Zorn_Omaxchain(v_S,t_a) = X3).
% 0.12/0.37 cnf(a2, assumption,
% 0.12/0.37 tc_set(tc_set(t_a)) = X4).
% 0.12/0.37 cnf(c3, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.37 cnf(c4, plain,
% 0.12/0.37 c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) | ~c_in(X1,X2,X4),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.37
% 0.12/0.37 cnf(c5, axiom,
% 0.12/0.37 c_Zorn_Osucc(X5,X6,X7) != X6 | ~c_in(X6,c_minus(c_Zorn_Ochain(X5,X7),c_Zorn_Omaxchain(X5,X7),tc_set(tc_set(tc_set(X7)))),tc_set(tc_set(X7)))).
% 0.12/0.37 cnf(a3, assumption,
% 0.12/0.37 X1 = X6).
% 0.12/0.37 cnf(a4, assumption,
% 0.12/0.37 c_minus(X2,X3,tc_set(X4)) = c_minus(c_Zorn_Ochain(X5,X7),c_Zorn_Omaxchain(X5,X7),tc_set(tc_set(tc_set(X7))))).
% 0.12/0.37 cnf(a5, assumption,
% 0.12/0.37 X4 = tc_set(tc_set(X7))).
% 0.12/0.37 cnf(c6, plain,
% 0.12/0.37 ~c_in(X1,X2,X4),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.12/0.37 cnf(c7, plain,
% 0.12/0.37 c_Zorn_Osucc(X5,X6,X7) != X6,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.12/0.37
% 0.12/0.37 cnf(c8, axiom,
% 0.12/0.37 c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)) = c_Zorn_Osucc(X8,c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),X9) | ~c_in(c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))).
% 0.12/0.37 cnf(a6, assumption,
% 0.12/0.37 c_Zorn_Osucc(X5,X6,X7) = c_Zorn_Osucc(X8,c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),X9)).
% 0.12/0.37 cnf(c9, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_function_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.37 cnf(c10, plain,
% 0.12/0.37 ~c_in(c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9))),
% 0.12/0.37 inference(strict_function_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.37 cnf(c11, plain,
% 0.12/0.37 X10 != c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)) | X10 != X6,
% 0.12/0.37 inference(strict_function_extension, [assumptions([a6])], [c7, c8])).
% 0.12/0.37
% 0.12/0.37 cnf(a7, assumption,
% 0.12/0.37 X10 = c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))).
% 0.12/0.37 cnf(c12, plain,
% 0.12/0.37 X10 != X6,
% 0.12/0.37 inference(reflexivity, [assumptions([a7])], [c11])).
% 0.12/0.37
% 0.12/0.37 cnf(a8, assumption,
% 0.12/0.37 X10 = X6).
% 0.12/0.37 cnf(c13, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(reflexivity, [assumptions([a8])], [c12])).
% 0.12/0.37
% 0.12/0.37 cnf(c14, axiom,
% 0.12/0.37 c_in(c_Union(X11,tc_set(X12)),c_Zorn_OTFin(X13,X12),tc_set(tc_set(X12))) | ~c_lessequals(X11,c_Zorn_OTFin(X13,X12),tc_set(tc_set(tc_set(X12))))).
% 0.12/0.37 cnf(a9, assumption,
% 0.12/0.37 c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)) = c_Union(X11,tc_set(X12))).
% 0.12/0.37 cnf(a10, assumption,
% 0.12/0.37 c_Zorn_OTFin(X8,X9) = c_Zorn_OTFin(X13,X12)).
% 0.12/0.37 cnf(a11, assumption,
% 0.12/0.37 tc_set(tc_set(X9)) = tc_set(tc_set(X12))).
% 0.12/0.37 cnf(c15, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c14])).
% 0.12/0.37 cnf(c16, plain,
% 0.12/0.37 ~c_lessequals(X11,c_Zorn_OTFin(X13,X12),tc_set(tc_set(tc_set(X12)))),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c14])).
% 0.12/0.37
% 0.12/0.37 cnf(c17, axiom,
% 0.12/0.37 c_lessequals(X14,X14,tc_set(X15))).
% 0.12/0.37 cnf(a12, assumption,
% 0.12/0.37 X11 = X14).
% 0.12/0.37 cnf(a13, assumption,
% 0.12/0.37 c_Zorn_OTFin(X13,X12) = X14).
% 0.12/0.37 cnf(a14, assumption,
% 0.12/0.37 tc_set(tc_set(tc_set(X12))) = tc_set(X15)).
% 0.12/0.37 cnf(c18, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])).
% 0.12/0.37 cnf(c19, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])).
% 0.12/0.37
% 0.12/0.37 cnf(c20, axiom,
% 0.12/0.37 c_in(X16,c_Zorn_Ochain(X17,X18),tc_set(tc_set(X18))) | ~c_in(X16,c_Zorn_OTFin(X17,X18),tc_set(tc_set(X18)))).
% 0.12/0.37 cnf(a15, assumption,
% 0.12/0.37 X1 = X16).
% 0.12/0.37 cnf(a16, assumption,
% 0.12/0.37 X2 = c_Zorn_Ochain(X17,X18)).
% 0.12/0.37 cnf(a17, assumption,
% 0.12/0.37 X4 = tc_set(tc_set(X18))).
% 0.12/0.37 cnf(c21, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c20])).
% 0.12/0.37 cnf(c22, plain,
% 0.12/0.37 ~c_in(X16,c_Zorn_OTFin(X17,X18),tc_set(tc_set(X18))),
% 0.12/0.37 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c6, c20])).
% 0.12/0.37
% 0.12/0.37 cnf(c23, plain,
% 0.12/0.37 c_in(c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9)),c_Zorn_OTFin(X8,X9),tc_set(tc_set(X9)))).
% 0.12/0.37 cnf(a18, assumption,
% 0.12/0.37 X16 = c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))).
% 0.12/0.37 cnf(a19, assumption,
% 0.12/0.37 c_Zorn_OTFin(X17,X18) = c_Zorn_OTFin(X8,X9)).
% 0.12/0.37 cnf(a20, assumption,
% 0.12/0.37 tc_set(tc_set(X18)) = tc_set(tc_set(X9))).
% 0.12/0.37 cnf(c24, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c22, c23])).
% 0.12/0.37
% 0.12/0.37 cnf(c25, plain,
% 0.12/0.37 $false,
% 0.12/0.37 inference(constraint_solving, [
% 0.12/0.37 bind(X0, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))),
% 0.12/0.37 bind(X1, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))),
% 0.12/0.37 bind(X2, c_Zorn_Ochain(X5,X7)),
% 0.12/0.37 bind(X3, c_Zorn_Omaxchain(v_S,t_a)),
% 0.12/0.37 bind(X4, tc_set(tc_set(t_a))),
% 0.12/0.37 bind(X5, v_S),
% 0.12/0.37 bind(X6, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))),
% 0.12/0.37 bind(X7, t_a),
% 0.12/0.37 bind(X8, v_S),
% 0.12/0.37 bind(X9, t_a),
% 0.12/0.37 bind(X10, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))),
% 0.12/0.37 bind(X11, c_Zorn_OTFin(X8,X9)),
% 0.12/0.37 bind(X12, t_a),
% 0.12/0.37 bind(X13, v_S),
% 0.12/0.37 bind(X14, c_Zorn_OTFin(X8,X9)),
% 0.12/0.37 bind(X15, tc_set(tc_set(X12))),
% 0.12/0.37 bind(X16, c_Union(c_Zorn_OTFin(X8,X9),tc_set(X9))),
% 0.12/0.37 bind(X17, v_S),
% 0.12/0.37 bind(X18, t_a)
% 0.12/0.37 ],
% 0.12/0.37 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 0.12/0.37
% 0.12/0.37 % SZS output end IncompleteProof
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