TSTP Solution File: SET864-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET864-2 : 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 : n005.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 02:48:51 EDT 2022
% Result : Unsatisfiable 0.12s 0.34s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SET864-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.33 % Computer : n005.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 : Mon Jul 11 02:23:22 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_c,c_Zorn_Omaxchain(v_S,t_a),tc_set(tc_set(t_a)))).
% 0.12/0.34 cnf(c1, plain,
% 0.12/0.34 c_in(v_c,c_Zorn_Omaxchain(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_Union(X0,X1) = X2 | ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | ~c_in(X0,c_Zorn_Omaxchain(X3,X1),tc_set(tc_set(X1))) | ~c_in(X2,X3,tc_set(X1))).
% 0.12/0.34 cnf(a0, assumption,
% 0.12/0.34 v_c = X0).
% 0.12/0.34 cnf(a1, assumption,
% 0.12/0.34 c_Zorn_Omaxchain(v_S,t_a) = c_Zorn_Omaxchain(X3,X1)).
% 0.12/0.34 cnf(a2, assumption,
% 0.12/0.34 tc_set(tc_set(t_a)) = tc_set(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_Union(X0,X1) = X2 | ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | ~c_in(X2,X3,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_in(X4,v_S,tc_set(t_a)) | v_x(X4) != X4).
% 0.12/0.34 cnf(a3, assumption,
% 0.12/0.34 v_x(X4) = X2).
% 0.12/0.34 cnf(a4, assumption,
% 0.12/0.34 c_Union(X0,X1) = X5).
% 0.12/0.34 cnf(c6, plain,
% 0.12/0.34 ~c_lessequals(c_Union(X0,X1),X2,tc_set(X1)) | ~c_in(X2,X3,tc_set(X1)),
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c5])).
% 0.12/0.34 cnf(c7, plain,
% 0.12/0.34 ~c_in(X4,v_S,tc_set(t_a)),
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c5])).
% 0.12/0.34 cnf(c8, plain,
% 0.12/0.34 X5 != X4,
% 0.12/0.34 inference(strict_subterm_extension, [assumptions([a3, a4])], [c4, c5])).
% 0.12/0.34
% 0.12/0.34 cnf(a5, assumption,
% 0.12/0.34 X5 = X4).
% 0.12/0.34 cnf(c9, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(reflexivity, [assumptions([a5])], [c8])).
% 0.12/0.34
% 0.12/0.34 cnf(c10, axiom,
% 0.12/0.34 c_in(c_Union(v_c,t_a),v_S,tc_set(t_a))).
% 0.12/0.34 cnf(a6, assumption,
% 0.12/0.34 X4 = c_Union(v_c,t_a)).
% 0.12/0.34 cnf(a7, assumption,
% 0.12/0.34 v_S = v_S).
% 0.12/0.34 cnf(a8, assumption,
% 0.12/0.34 tc_set(t_a) = tc_set(t_a)).
% 0.12/0.34 cnf(c11, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c10])).
% 0.12/0.34 cnf(c12, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c10])).
% 0.12/0.34
% 0.12/0.34 cnf(c13, axiom,
% 0.12/0.34 ~c_in(X6,v_S,tc_set(t_a)) | c_lessequals(X6,v_x(X6),tc_set(t_a))).
% 0.12/0.34 cnf(a9, assumption,
% 0.12/0.34 c_Union(X0,X1) = X6).
% 0.12/0.34 cnf(a10, assumption,
% 0.12/0.34 X2 = v_x(X6)).
% 0.12/0.34 cnf(a11, assumption,
% 0.12/0.34 tc_set(X1) = tc_set(t_a)).
% 0.12/0.34 cnf(c14, plain,
% 0.12/0.34 ~c_in(X2,X3,tc_set(X1)),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c13])).
% 0.12/0.34 cnf(c15, plain,
% 0.12/0.34 ~c_in(X6,v_S,tc_set(t_a)),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c13])).
% 0.12/0.34
% 0.12/0.34 cnf(c16, plain,
% 0.12/0.34 c_in(X4,v_S,tc_set(t_a))).
% 0.12/0.34 cnf(a12, assumption,
% 0.12/0.34 X6 = X4).
% 0.12/0.34 cnf(a13, assumption,
% 0.12/0.34 v_S = v_S).
% 0.12/0.34 cnf(a14, assumption,
% 0.12/0.34 tc_set(t_a) = tc_set(t_a)).
% 0.12/0.34 cnf(c17, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a12, a13, a14])], [c15, c16])).
% 0.12/0.34
% 0.12/0.34 cnf(c18, axiom,
% 0.12/0.34 ~c_in(X7,v_S,tc_set(t_a)) | c_in(v_x(X7),v_S,tc_set(t_a))).
% 0.12/0.34 cnf(a15, assumption,
% 0.12/0.34 X2 = v_x(X7)).
% 0.12/0.34 cnf(a16, assumption,
% 0.12/0.34 X3 = v_S).
% 0.12/0.34 cnf(a17, assumption,
% 0.12/0.34 tc_set(X1) = tc_set(t_a)).
% 0.12/0.34 cnf(c19, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c14, c18])).
% 0.12/0.34 cnf(c20, plain,
% 0.12/0.34 ~c_in(X7,v_S,tc_set(t_a)),
% 0.12/0.34 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c14, c18])).
% 0.12/0.34
% 0.12/0.34 cnf(c21, plain,
% 0.12/0.34 c_in(X4,v_S,tc_set(t_a))).
% 0.12/0.34 cnf(a18, assumption,
% 0.12/0.34 X7 = X4).
% 0.12/0.34 cnf(a19, assumption,
% 0.12/0.34 v_S = v_S).
% 0.12/0.34 cnf(a20, assumption,
% 0.12/0.34 tc_set(t_a) = tc_set(t_a)).
% 0.12/0.34 cnf(c22, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(predicate_reduction, [assumptions([a18, a19, a20])], [c20, c21])).
% 0.12/0.34
% 0.12/0.34 cnf(c23, plain,
% 0.12/0.34 $false,
% 0.12/0.34 inference(constraint_solving, [
% 0.12/0.34 bind(X0, v_c),
% 0.12/0.34 bind(X1, t_a),
% 0.12/0.34 bind(X2, v_x(X4)),
% 0.12/0.34 bind(X3, v_S),
% 0.12/0.34 bind(X4, c_Union(X0,X1)),
% 0.12/0.34 bind(X5, c_Union(X0,X1)),
% 0.12/0.34 bind(X6, c_Union(X0,X1)),
% 0.12/0.34 bind(X7, c_Union(X0,X1))
% 0.12/0.34 ],
% 0.12/0.34 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20])).
% 0.12/0.34
% 0.12/0.34 % SZS output end IncompleteProof
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