TSTP Solution File: SET834-2 by lazyCoP---0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SET834-2 : 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 02:48:30 EDT 2022
% Result : Unsatisfiable 66.38s 8.88s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET834-2 : 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 : n019.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 03:32:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 66.38/8.88 % SZS status Unsatisfiable
% 66.38/8.88 % SZS output begin IncompleteProof
% 66.38/8.88 cnf(c0, axiom,
% 66.38/8.88 c_in(v_x,v_X,t_a)).
% 66.38/8.88 cnf(c1, plain,
% 66.38/8.88 c_in(v_x,v_X,t_a),
% 66.38/8.88 inference(start, [], [c0])).
% 66.38/8.88
% 66.38/8.88 cnf(c2, axiom,
% 66.38/8.88 c_in(X0,X1,X2) | ~c_lessequals(X3,X1,tc_set(X2)) | ~c_in(X0,X3,X2)).
% 66.38/8.88 cnf(a0, assumption,
% 66.38/8.88 v_x = X0).
% 66.38/8.88 cnf(a1, assumption,
% 66.38/8.88 v_X = X3).
% 66.38/8.88 cnf(a2, assumption,
% 66.38/8.88 t_a = X2).
% 66.38/8.88 cnf(c3, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 66.38/8.88 cnf(c4, plain,
% 66.38/8.88 c_in(X0,X1,X2) | ~c_lessequals(X3,X1,tc_set(X2)),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 66.38/8.88
% 66.38/8.88 cnf(c5, axiom,
% 66.38/8.88 c_in(X4,X5,X6) | c_in(X4,X7,X6) | ~c_in(X4,c_union(X5,X7,X6),X6)).
% 66.38/8.88 cnf(a3, assumption,
% 66.38/8.88 X0 = X4).
% 66.38/8.88 cnf(a4, assumption,
% 66.38/8.88 X1 = c_union(X5,X7,X6)).
% 66.38/8.88 cnf(a5, assumption,
% 66.38/8.88 X2 = X6).
% 66.38/8.88 cnf(c6, plain,
% 66.38/8.88 ~c_lessequals(X3,X1,tc_set(X2)),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 66.38/8.88 cnf(c7, plain,
% 66.38/8.88 c_in(X4,X5,X6) | c_in(X4,X7,X6),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 66.38/8.88
% 66.38/8.88 cnf(c8, axiom,
% 66.38/8.88 ~c_in(v_x,v_Y,t_a)).
% 66.38/8.88 cnf(a6, assumption,
% 66.38/8.88 X4 = v_x).
% 66.38/8.88 cnf(a7, assumption,
% 66.38/8.88 X5 = v_Y).
% 66.38/8.88 cnf(a8, assumption,
% 66.38/8.88 X6 = t_a).
% 66.38/8.88 cnf(c9, plain,
% 66.38/8.88 c_in(X4,X7,X6),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 66.38/8.88 cnf(c10, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 66.38/8.88
% 66.38/8.88 cnf(c11, axiom,
% 66.38/8.88 ~c_in(v_x,v_Z,t_a)).
% 66.38/8.88 cnf(a9, assumption,
% 66.38/8.88 X4 = v_x).
% 66.38/8.88 cnf(a10, assumption,
% 66.38/8.88 X7 = v_Z).
% 66.38/8.88 cnf(a11, assumption,
% 66.38/8.88 X6 = t_a).
% 66.38/8.88 cnf(c12, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])).
% 66.38/8.88 cnf(c13, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])).
% 66.38/8.88
% 66.38/8.88 cnf(c14, axiom,
% 66.38/8.88 ~c_lessequals(v_Y,X8,tc_set(t_a)) | ~c_lessequals(v_Z,X8,tc_set(t_a)) | c_lessequals(v_X,X8,tc_set(t_a))).
% 66.38/8.88 cnf(a12, assumption,
% 66.38/8.88 X3 = v_X).
% 66.38/8.88 cnf(a13, assumption,
% 66.38/8.88 X1 = X8).
% 66.38/8.88 cnf(a14, assumption,
% 66.38/8.88 tc_set(X2) = tc_set(t_a)).
% 66.38/8.88 cnf(c15, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c6, c14])).
% 66.38/8.88 cnf(c16, plain,
% 66.38/8.88 ~c_lessequals(v_Y,X8,tc_set(t_a)) | ~c_lessequals(v_Z,X8,tc_set(t_a)),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c6, c14])).
% 66.38/8.88
% 66.38/8.88 cnf(c17, axiom,
% 66.38/8.88 c_lessequals(X9,X10,tc_set(X11)) | ~c_in(c_Main_OsubsetI__1(X9,X10,X11),X10,X11)).
% 66.38/8.88 cnf(a15, assumption,
% 66.38/8.88 v_Y = X9).
% 66.38/8.88 cnf(a16, assumption,
% 66.38/8.88 X8 = X10).
% 66.38/8.88 cnf(a17, assumption,
% 66.38/8.88 tc_set(t_a) = tc_set(X11)).
% 66.38/8.88 cnf(c18, plain,
% 66.38/8.88 ~c_lessequals(v_Z,X8,tc_set(t_a)),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 66.38/8.88 cnf(c19, plain,
% 66.38/8.88 ~c_in(c_Main_OsubsetI__1(X9,X10,X11),X10,X11),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 66.38/8.88
% 66.38/8.88 cnf(c20, axiom,
% 66.38/8.88 c_in(X12,c_union(X13,X14,X15),X15) | ~c_in(X12,X13,X15)).
% 66.38/8.88 cnf(a18, assumption,
% 66.38/8.88 c_Main_OsubsetI__1(X9,X10,X11) = X12).
% 66.38/8.88 cnf(a19, assumption,
% 66.38/8.88 X10 = c_union(X13,X14,X15)).
% 66.38/8.88 cnf(a20, assumption,
% 66.38/8.88 X11 = X15).
% 66.38/8.88 cnf(c21, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])).
% 66.38/8.88 cnf(c22, plain,
% 66.38/8.88 ~c_in(X12,X13,X15),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c19, c20])).
% 66.38/8.88
% 66.38/8.88 cnf(c23, axiom,
% 66.38/8.88 c_lessequals(X16,X17,tc_set(X18)) | c_in(c_Main_OsubsetI__1(X16,X17,X18),X16,X18)).
% 66.38/8.88 cnf(a21, assumption,
% 66.38/8.88 X12 = c_Main_OsubsetI__1(X16,X17,X18)).
% 66.38/8.88 cnf(a22, assumption,
% 66.38/8.88 X13 = X16).
% 66.38/8.88 cnf(a23, assumption,
% 66.38/8.88 X15 = X18).
% 66.38/8.88 cnf(c24, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])).
% 66.38/8.88 cnf(c25, plain,
% 66.38/8.88 c_lessequals(X16,X17,tc_set(X18)),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])).
% 66.38/8.88
% 66.38/8.88 cnf(c26, plain,
% 66.38/8.88 ~c_lessequals(v_Y,X8,tc_set(t_a))).
% 66.38/8.88 cnf(a24, assumption,
% 66.38/8.88 X16 = v_Y).
% 66.38/8.88 cnf(a25, assumption,
% 66.38/8.88 X17 = X8).
% 66.38/8.88 cnf(a26, assumption,
% 66.38/8.88 tc_set(X18) = tc_set(t_a)).
% 66.38/8.88 cnf(c27, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(predicate_reduction, [assumptions([a24, a25, a26])], [c25, c26])).
% 66.38/8.88
% 66.38/8.88 cnf(c28, axiom,
% 66.38/8.88 c_lessequals(X19,X20,tc_set(X21)) | ~c_in(c_Main_OsubsetI__1(X19,X20,X21),X20,X21)).
% 66.38/8.88 cnf(a27, assumption,
% 66.38/8.88 v_Z = X19).
% 66.38/8.88 cnf(a28, assumption,
% 66.38/8.88 X8 = X20).
% 66.38/8.88 cnf(a29, assumption,
% 66.38/8.88 tc_set(t_a) = tc_set(X21)).
% 66.38/8.88 cnf(c29, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c18, c28])).
% 66.38/8.88 cnf(c30, plain,
% 66.38/8.88 ~c_in(c_Main_OsubsetI__1(X19,X20,X21),X20,X21),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a27, a28, a29])], [c18, c28])).
% 66.38/8.88
% 66.38/8.88 cnf(c31, axiom,
% 66.38/8.88 c_in(X22,c_union(X23,X24,X25),X25) | ~c_in(X22,X24,X25)).
% 66.38/8.88 cnf(a30, assumption,
% 66.38/8.88 c_Main_OsubsetI__1(X19,X20,X21) = X22).
% 66.38/8.88 cnf(a31, assumption,
% 66.38/8.88 X20 = c_union(X23,X24,X25)).
% 66.38/8.88 cnf(a32, assumption,
% 66.38/8.88 X21 = X25).
% 66.38/8.88 cnf(c32, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c31])).
% 66.38/8.88 cnf(c33, plain,
% 66.38/8.88 ~c_in(X22,X24,X25),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a30, a31, a32])], [c30, c31])).
% 66.38/8.88
% 66.38/8.88 cnf(c34, axiom,
% 66.38/8.88 c_lessequals(X26,X27,tc_set(X28)) | c_in(c_Main_OsubsetI__1(X26,X27,X28),X26,X28)).
% 66.38/8.88 cnf(a33, assumption,
% 66.38/8.88 X22 = c_Main_OsubsetI__1(X26,X27,X28)).
% 66.38/8.88 cnf(a34, assumption,
% 66.38/8.88 X24 = X26).
% 66.38/8.88 cnf(a35, assumption,
% 66.38/8.88 X25 = X28).
% 66.38/8.88 cnf(c35, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c33, c34])).
% 66.38/8.88 cnf(c36, plain,
% 66.38/8.88 c_lessequals(X26,X27,tc_set(X28)),
% 66.38/8.88 inference(strict_predicate_extension, [assumptions([a33, a34, a35])], [c33, c34])).
% 66.38/8.88
% 66.38/8.88 cnf(c37, plain,
% 66.38/8.88 ~c_lessequals(v_Z,X8,tc_set(t_a))).
% 66.38/8.88 cnf(a36, assumption,
% 66.38/8.88 X26 = v_Z).
% 66.38/8.88 cnf(a37, assumption,
% 66.38/8.88 X27 = X8).
% 66.38/8.88 cnf(a38, assumption,
% 66.38/8.88 tc_set(X28) = tc_set(t_a)).
% 66.38/8.88 cnf(c38, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(predicate_reduction, [assumptions([a36, a37, a38])], [c36, c37])).
% 66.38/8.88
% 66.38/8.88 cnf(c39, plain,
% 66.38/8.88 $false,
% 66.38/8.88 inference(constraint_solving, [
% 66.38/8.88 bind(X0, v_x),
% 66.38/8.88 bind(X1, c_union(X5,X7,X6)),
% 66.38/8.88 bind(X2, t_a),
% 66.38/8.88 bind(X3, v_X),
% 66.38/8.88 bind(X4, v_x),
% 66.38/8.88 bind(X5, v_Y),
% 66.38/8.88 bind(X6, t_a),
% 66.38/8.88 bind(X7, v_Z),
% 66.38/8.88 bind(X8, c_union(X5,X7,X6)),
% 66.38/8.88 bind(X9, v_Y),
% 66.38/8.88 bind(X10, c_union(X5,X7,X6)),
% 66.38/8.88 bind(X11, t_a),
% 66.38/8.88 bind(X12, c_Main_OsubsetI__1(X9,X10,X11)),
% 66.38/8.88 bind(X13, v_Y),
% 66.38/8.88 bind(X14, v_Z),
% 66.38/8.88 bind(X15, t_a),
% 66.38/8.88 bind(X16, v_Y),
% 66.38/8.88 bind(X17, c_union(X5,X7,X6)),
% 66.38/8.88 bind(X18, t_a),
% 66.38/8.88 bind(X19, v_Z),
% 66.38/8.88 bind(X20, c_union(X5,X7,X6)),
% 66.38/8.88 bind(X21, t_a),
% 66.38/8.88 bind(X22, c_Main_OsubsetI__1(X19,X20,X21)),
% 66.38/8.88 bind(X23, v_Y),
% 66.38/8.88 bind(X24, v_Z),
% 66.38/8.88 bind(X25, t_a),
% 66.38/8.88 bind(X26, v_Z),
% 66.38/8.88 bind(X27, c_union(X5,X7,X6)),
% 66.38/8.88 bind(X28, t_a)
% 66.38/8.88 ],
% 66.38/8.88 [a0, a1, a2, a3, a4, a5, a6, a7, a8, a9, a10, a11, a12, a13, a14, a15, a16, a17, a18, a19, a20, a21, a22, a23, a24, a25, a26, a27, a28, a29, a30, a31, a32, a33, a34, a35, a36, a37, a38])).
% 66.38/8.88
% 66.38/8.88 % SZS output end IncompleteProof
%------------------------------------------------------------------------------