TSTP Solution File: SET849-2 by lazyCoP---0.1
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% File : lazyCoP---0.1
% Problem : SET849-2 : 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 : 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 : 600s
% DateTime : Tue Jul 19 02:48:40 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SET849-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 10 14:45:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % SZS status Unsatisfiable
% 0.13/0.35 % SZS output begin IncompleteProof
% 0.13/0.35 cnf(c0, axiom,
% 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a)).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a),
% 0.13/0.35 inference(start, [], [c0])).
% 0.13/0.35
% 0.13/0.35 cnf(c2, axiom,
% 0.13/0.35 c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1) | ~c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1)))).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 c_Zorn_Osucc(v_S,c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)),t_a) = c_Zorn_Osucc(X0,c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),X1)).
% 0.13/0.35 cnf(c3, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.35 cnf(c4, plain,
% 0.13/0.35 ~c_in(c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)),c_Zorn_OTFin(X0,X1),tc_set(tc_set(X1))),
% 0.13/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.35 cnf(c5, plain,
% 0.13/0.35 X2 != c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) | c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != X2,
% 0.13/0.35 inference(strict_function_extension, [assumptions([a0])], [c1, c2])).
% 0.13/0.35
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 X2 = c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) != X2,
% 0.13/0.35 inference(reflexivity, [assumptions([a1])], [c5])).
% 0.13/0.35
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) = X2).
% 0.13/0.35 cnf(c7, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(reflexivity, [assumptions([a2])], [c6])).
% 0.13/0.35
% 0.13/0.35 cnf(c8, axiom,
% 0.13/0.35 c_in(c_Union(X3,tc_set(X4)),c_Zorn_OTFin(X5,X4),tc_set(tc_set(X4))) | ~c_lessequals(X3,c_Zorn_OTFin(X5,X4),tc_set(tc_set(tc_set(X4))))).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1)) = c_Union(X3,tc_set(X4))).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 c_Zorn_OTFin(X0,X1) = c_Zorn_OTFin(X5,X4)).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 tc_set(tc_set(X1)) = tc_set(tc_set(X4))).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 ~c_lessequals(X3,c_Zorn_OTFin(X5,X4),tc_set(tc_set(tc_set(X4)))),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(c11, axiom,
% 0.13/0.35 c_lessequals(X6,X6,tc_set(X7))).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 X3 = X6).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 c_Zorn_OTFin(X5,X4) = X6).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 tc_set(tc_set(tc_set(X4))) = tc_set(X7)).
% 0.13/0.35 cnf(c12, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])).
% 0.13/0.35 cnf(c13, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c10, c11])).
% 0.13/0.35
% 0.13/0.35 cnf(c14, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, v_S),
% 0.13/0.35 bind(X1, t_a),
% 0.13/0.35 bind(X2, c_Union(c_Zorn_OTFin(X0,X1),tc_set(X1))),
% 0.13/0.35 bind(X3, c_Zorn_OTFin(X0,X1)),
% 0.13/0.35 bind(X4, t_a),
% 0.13/0.35 bind(X5, v_S),
% 0.13/0.35 bind(X6, c_Zorn_OTFin(X0,X1)),
% 0.13/0.35 bind(X7, tc_set(tc_set(X4)))
% 0.13/0.35 ],
% 0.13/0.35 [a0, a1, a2, a3, a4, a5, a6, a7, a8])).
% 0.13/0.35
% 0.13/0.35 % SZS output end IncompleteProof
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