TSTP Solution File: SET841-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET841-2 : 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 : n017.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 02:48:35 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
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%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET841-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.12/0.34 % Computer : n017.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 00:38:47 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % SZS status Unsatisfiable
% 0.12/0.35 % SZS output begin IncompleteProof
% 0.12/0.35 cnf(c0, axiom,
% 0.12/0.35 c_lessequals(v_x,v_m,tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(c1, plain,
% 0.12/0.35 c_lessequals(v_x,v_m,tc_set(tc_set(t_a))),
% 0.12/0.35 inference(start, [], [c0])).
% 0.12/0.35
% 0.12/0.35 cnf(c2, axiom,
% 0.12/0.35 X0 = X1 | c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3))) | ~c_lessequals(X0,X1,tc_set(tc_set(X3))) | ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3)))).
% 0.12/0.35 cnf(a0, assumption,
% 0.12/0.35 v_x = X0).
% 0.12/0.35 cnf(a1, assumption,
% 0.12/0.35 v_m = X1).
% 0.12/0.35 cnf(a2, assumption,
% 0.12/0.35 tc_set(tc_set(t_a)) = tc_set(tc_set(X3))).
% 0.12/0.35 cnf(c3, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.35 cnf(c4, plain,
% 0.12/0.35 X0 = X1 | c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3))) | ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.12/0.35
% 0.12/0.35 cnf(c5, axiom,
% 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(a3, assumption,
% 0.12/0.35 v_x = X0).
% 0.12/0.35 cnf(c6, plain,
% 0.12/0.35 c_lessequals(c_Zorn_Osucc(X2,X0,X3),X1,tc_set(tc_set(X3))) | ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))),
% 0.12/0.35 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])).
% 0.12/0.35 cnf(c7, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])).
% 0.12/0.35 cnf(c8, plain,
% 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,X1,t_a),v_m,tc_set(tc_set(t_a))),
% 0.12/0.35 inference(strict_subterm_extension, [assumptions([a3])], [c4, c5])).
% 0.12/0.35
% 0.12/0.35 cnf(c9, axiom,
% 0.12/0.35 v_m = c_Zorn_Osucc(v_S,v_m,t_a)).
% 0.12/0.35 cnf(a4, assumption,
% 0.12/0.35 c_Zorn_Osucc(v_S,X1,t_a) = c_Zorn_Osucc(v_S,v_m,t_a)).
% 0.12/0.35 cnf(c10, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c8, c9])).
% 0.12/0.35 cnf(c11, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c8, c9])).
% 0.12/0.35 cnf(c12, plain,
% 0.12/0.35 X4 != v_m | ~c_lessequals(X4,v_m,tc_set(tc_set(t_a))),
% 0.12/0.35 inference(strict_function_extension, [assumptions([a4])], [c8, c9])).
% 0.12/0.35
% 0.12/0.35 cnf(a5, assumption,
% 0.12/0.35 X4 = v_m).
% 0.12/0.35 cnf(c13, plain,
% 0.12/0.35 ~c_lessequals(X4,v_m,tc_set(tc_set(t_a))),
% 0.12/0.35 inference(reflexivity, [assumptions([a5])], [c12])).
% 0.12/0.35
% 0.12/0.35 cnf(c14, axiom,
% 0.12/0.35 c_lessequals(X5,X5,tc_set(X6))).
% 0.12/0.35 cnf(a6, assumption,
% 0.12/0.35 X4 = X5).
% 0.12/0.35 cnf(a7, assumption,
% 0.12/0.35 v_m = X5).
% 0.12/0.35 cnf(a8, assumption,
% 0.12/0.35 tc_set(tc_set(t_a)) = tc_set(X6)).
% 0.12/0.35 cnf(c15, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c13, c14])).
% 0.12/0.35 cnf(c16, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c13, c14])).
% 0.12/0.35
% 0.12/0.35 cnf(c17, axiom,
% 0.12/0.35 ~c_lessequals(c_Zorn_Osucc(v_S,v_x,t_a),v_m,tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(a9, assumption,
% 0.12/0.35 c_Zorn_Osucc(X2,X0,X3) = c_Zorn_Osucc(v_S,v_x,t_a)).
% 0.12/0.35 cnf(a10, assumption,
% 0.12/0.35 X1 = v_m).
% 0.12/0.35 cnf(a11, assumption,
% 0.12/0.35 tc_set(tc_set(X3)) = tc_set(tc_set(t_a))).
% 0.12/0.35 cnf(c18, plain,
% 0.12/0.35 ~c_in(X1,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))) | ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c17])).
% 0.12/0.35 cnf(c19, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c6, c17])).
% 0.12/0.35
% 0.12/0.35 cnf(c20, axiom,
% 0.12/0.35 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(a12, assumption,
% 0.12/0.35 X1 = v_m).
% 0.12/0.35 cnf(a13, assumption,
% 0.12/0.35 c_Zorn_OTFin(X2,X3) = c_Zorn_OTFin(v_S,t_a)).
% 0.12/0.35 cnf(a14, assumption,
% 0.12/0.35 tc_set(tc_set(X3)) = tc_set(tc_set(t_a))).
% 0.12/0.35 cnf(c21, plain,
% 0.12/0.35 ~c_in(X0,c_Zorn_OTFin(X2,X3),tc_set(tc_set(X3))),
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c18, c20])).
% 0.12/0.35 cnf(c22, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c18, c20])).
% 0.12/0.35
% 0.12/0.35 cnf(c23, axiom,
% 0.12/0.35 c_in(v_x,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))).
% 0.12/0.35 cnf(a15, assumption,
% 0.12/0.35 X0 = v_x).
% 0.12/0.35 cnf(a16, assumption,
% 0.12/0.35 c_Zorn_OTFin(X2,X3) = c_Zorn_OTFin(v_S,t_a)).
% 0.12/0.35 cnf(a17, assumption,
% 0.12/0.35 tc_set(tc_set(X3)) = tc_set(tc_set(t_a))).
% 0.12/0.35 cnf(c24, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c23])).
% 0.12/0.35 cnf(c25, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c21, c23])).
% 0.12/0.35
% 0.12/0.35 cnf(c26, plain,
% 0.12/0.35 $false,
% 0.12/0.35 inference(constraint_solving, [
% 0.12/0.35 bind(X0, v_x),
% 0.12/0.35 bind(X1, v_m),
% 0.12/0.35 bind(X2, v_S),
% 0.12/0.35 bind(X3, t_a),
% 0.12/0.35 bind(X4, v_m),
% 0.12/0.35 bind(X5, v_m),
% 0.12/0.35 bind(X6, tc_set(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])).
% 0.12/0.35
% 0.12/0.35 % SZS output end IncompleteProof
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