TSTP Solution File: SET844-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET844-2 : 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 : n009.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 02:48:37 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET844-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n009.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 : Sun Jul 10 23:05:52 EDT 2022
% 0.12/0.33 % 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_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 c_in(v_m,c_Zorn_OTFin(v_S,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(X0,X1,tc_set(tc_set(X2))) | c_Zorn_Osucc(X3,X1,X2) != X1 | ~c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))) | ~c_in(X1,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2)))).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 v_m = X1).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 c_Zorn_OTFin(v_S,t_a) = c_Zorn_OTFin(X3,X2)).
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 tc_set(tc_set(t_a)) = tc_set(tc_set(X2))).
% 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(X0,X1,tc_set(tc_set(X2))) | c_Zorn_Osucc(X3,X1,X2) != X1 | ~c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))),
% 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(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),v_m,tc_set(tc_set(t_a)))).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 X0 = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))).
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 X1 = v_m).
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 tc_set(tc_set(X2)) = tc_set(tc_set(t_a))).
% 0.12/0.34 cnf(c6, plain,
% 0.12/0.34 c_Zorn_Osucc(X3,X1,X2) != X1 | ~c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))),
% 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
% 0.12/0.34 cnf(c8, axiom,
% 0.12/0.34 v_m = c_Zorn_Osucc(v_S,v_m,t_a)).
% 0.12/0.34 cnf(a6, assumption,
% 0.12/0.34 c_Zorn_Osucc(X3,X1,X2) = c_Zorn_Osucc(v_S,v_m,t_a)).
% 0.12/0.34 cnf(c9, plain,
% 0.12/0.34 ~c_in(X0,c_Zorn_OTFin(X3,X2),tc_set(tc_set(X2))),
% 0.12/0.34 inference(strict_function_extension, [assumptions([a6])], [c6, c8])).
% 0.12/0.34 cnf(c10, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_function_extension, [assumptions([a6])], [c6, c8])).
% 0.12/0.34 cnf(c11, plain,
% 0.12/0.34 X4 != v_m | X4 != X1,
% 0.12/0.34 inference(strict_function_extension, [assumptions([a6])], [c6, c8])).
% 0.12/0.34
% 0.12/0.34 cnf(a7, assumption,
% 0.12/0.34 X4 = v_m).
% 0.12/0.34 cnf(c12, plain,
% 0.12/0.34 X4 != X1,
% 0.12/0.34 inference(reflexivity, [assumptions([a7])], [c11])).
% 0.12/0.34
% 0.12/0.34 cnf(a8, assumption,
% 0.12/0.34 X4 = X1).
% 0.12/0.34 cnf(c13, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a8])], [c12])).
% 0.12/0.34
% 0.12/0.34 cnf(c14, axiom,
% 0.12/0.34 c_in(c_Union(X5,tc_set(X6)),c_Zorn_OTFin(X7,X6),tc_set(tc_set(X6))) | ~c_lessequals(X5,c_Zorn_OTFin(X7,X6),tc_set(tc_set(tc_set(X6))))).
% 0.12/0.34 cnf(a9, assumption,
% 0.12/0.34 X0 = c_Union(X5,tc_set(X6))).
% 0.12/0.34 cnf(a10, assumption,
% 0.12/0.34 c_Zorn_OTFin(X3,X2) = c_Zorn_OTFin(X7,X6)).
% 0.12/0.34 cnf(a11, assumption,
% 0.12/0.34 tc_set(tc_set(X2)) = tc_set(tc_set(X6))).
% 0.12/0.34 cnf(c15, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c14])).
% 0.12/0.34 cnf(c16, plain,
% 0.12/0.34 ~c_lessequals(X5,c_Zorn_OTFin(X7,X6),tc_set(tc_set(tc_set(X6)))),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c14])).
% 0.12/0.34
% 0.12/0.34 cnf(c17, axiom,
% 0.12/0.34 c_lessequals(X8,X8,tc_set(X9))).
% 0.12/0.34 cnf(a12, assumption,
% 0.12/0.34 X5 = X8).
% 0.12/0.34 cnf(a13, assumption,
% 0.12/0.34 c_Zorn_OTFin(X7,X6) = X8).
% 0.12/0.34 cnf(a14, assumption,
% 0.12/0.34 tc_set(tc_set(tc_set(X6))) = tc_set(X9)).
% 0.12/0.34 cnf(c18, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])).
% 0.12/0.34 cnf(c19, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c16, c17])).
% 0.12/0.34
% 0.12/0.34 cnf(c20, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(constraint_solving, [
% 0.12/0.34 bind(X0, c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))),
% 0.12/0.34 bind(X1, v_m),
% 0.12/0.34 bind(X2, t_a),
% 0.12/0.34 bind(X3, v_S),
% 0.12/0.34 bind(X4, v_m),
% 0.12/0.34 bind(X5, c_Zorn_OTFin(v_S,t_a)),
% 0.12/0.34 bind(X6, t_a),
% 0.12/0.34 bind(X7, v_S),
% 0.12/0.34 bind(X8, c_Zorn_OTFin(v_S,t_a)),
% 0.12/0.34 bind(X9, tc_set(tc_set(X6)))
% 0.12/0.34 ],
% 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14])).
% 0.12/0.34
% 0.12/0.34 % SZS output end IncompleteProof
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