TSTP Solution File: SWV261-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : SWV261-2 : 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 : n016.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 : Wed Jul 20 19:46:05 EDT 2022
% Result : Unsatisfiable 3.29s 0.80s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV261-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop
% 0.13/0.34 % Computer : n016.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 : Wed Jun 15 03:23:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.29/0.80 % SZS status Unsatisfiable
% 3.29/0.80 % SZS output begin IncompleteProof
% 3.29/0.80 cnf(c0, axiom,
% 3.29/0.80 ~c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg))).
% 3.29/0.80 cnf(c1, plain,
% 3.29/0.80 ~c_lessequals(c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg),tc_set(tc_Message_Omsg)),
% 3.29/0.80 inference(start, [], [c0])).
% 3.29/0.80
% 3.29/0.80 cnf(c2, axiom,
% 3.29/0.80 c_lessequals(X0,X1,tc_set(X2)) | ~c_lessequals(X0,X3,tc_set(X2)) | ~c_lessequals(X3,X1,tc_set(X2))).
% 3.29/0.80 cnf(a0, assumption,
% 3.29/0.80 c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)) = X0).
% 3.29/0.80 cnf(a1, assumption,
% 3.29/0.80 c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg) = X1).
% 3.29/0.80 cnf(a2, assumption,
% 3.29/0.80 tc_set(tc_Message_Omsg) = tc_set(X2)).
% 3.29/0.80 cnf(c3, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 3.29/0.80 cnf(c4, plain,
% 3.29/0.80 ~c_lessequals(X0,X3,tc_set(X2)) | ~c_lessequals(X3,X1,tc_set(X2)),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 3.29/0.80
% 3.29/0.80 cnf(c5, axiom,
% 3.29/0.80 c_lessequals(c_Message_Oparts(X4),c_Message_Oparts(X5),tc_set(tc_Message_Omsg)) | ~c_lessequals(X4,X5,tc_set(tc_Message_Omsg))).
% 3.29/0.80 cnf(a3, assumption,
% 3.29/0.80 X0 = c_Message_Oparts(X4)).
% 3.29/0.80 cnf(a4, assumption,
% 3.29/0.80 X3 = c_Message_Oparts(X5)).
% 3.29/0.80 cnf(a5, assumption,
% 3.29/0.80 tc_set(X2) = tc_set(tc_Message_Omsg)).
% 3.29/0.80 cnf(c6, plain,
% 3.29/0.80 ~c_lessequals(X3,X1,tc_set(X2)),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 3.29/0.80 cnf(c7, plain,
% 3.29/0.80 ~c_lessequals(X4,X5,tc_set(tc_Message_Omsg)),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 3.29/0.80
% 3.29/0.80 cnf(c8, axiom,
% 3.29/0.80 c_lessequals(X6,X7,tc_set(X8)) | ~c_in(c_Main_OsubsetI__1(X6,X7,X8),X7,X8)).
% 3.29/0.80 cnf(a6, assumption,
% 3.29/0.80 X4 = X6).
% 3.29/0.80 cnf(a7, assumption,
% 3.29/0.80 X5 = X7).
% 3.29/0.80 cnf(a8, assumption,
% 3.29/0.80 tc_set(tc_Message_Omsg) = tc_set(X8)).
% 3.29/0.80 cnf(c9, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 3.29/0.80 cnf(c10, plain,
% 3.29/0.80 ~c_in(c_Main_OsubsetI__1(X6,X7,X8),X7,X8),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 3.29/0.80
% 3.29/0.80 cnf(c11, axiom,
% 3.29/0.80 c_in(X9,c_union(X10,X11,X12),X12) | ~c_in(X9,X11,X12)).
% 3.29/0.80 cnf(a9, assumption,
% 3.29/0.80 c_Main_OsubsetI__1(X6,X7,X8) = X9).
% 3.29/0.80 cnf(a10, assumption,
% 3.29/0.80 X7 = c_union(X10,X11,X12)).
% 3.29/0.80 cnf(a11, assumption,
% 3.29/0.80 X8 = X12).
% 3.29/0.80 cnf(c12, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 3.29/0.80 cnf(c13, plain,
% 3.29/0.80 ~c_in(X9,X11,X12),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c10, c11])).
% 3.29/0.80
% 3.29/0.80 cnf(c14, axiom,
% 3.29/0.80 X13 = X14 | c_in(X13,X15,X16) | ~c_in(X13,c_insert(X14,X15,X16),X16)).
% 3.29/0.80 cnf(a12, assumption,
% 3.29/0.80 X9 = X13).
% 3.29/0.80 cnf(a13, assumption,
% 3.29/0.80 X11 = X15).
% 3.29/0.80 cnf(a14, assumption,
% 3.29/0.80 X12 = X16).
% 3.29/0.80 cnf(c15, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 3.29/0.80 cnf(c16, plain,
% 3.29/0.80 X13 = X14 | ~c_in(X13,c_insert(X14,X15,X16),X16),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c13, c14])).
% 3.29/0.80
% 3.29/0.80 cnf(c17, plain,
% 3.29/0.80 ~c_in(c_Main_OsubsetI__1(X6,X7,X8),X7,X8)).
% 3.29/0.80 cnf(a15, assumption,
% 3.29/0.80 c_Main_OsubsetI__1(X6,X7,X8) = X13).
% 3.29/0.80 cnf(c18, plain,
% 3.29/0.80 ~c_in(X13,c_insert(X14,X15,X16),X16),
% 3.29/0.80 inference(subterm_reduction, [assumptions([a15])], [c16, c17])).
% 3.29/0.80 cnf(c19, plain,
% 3.29/0.80 ~c_in(X14,X7,X8),
% 3.29/0.80 inference(subterm_reduction, [assumptions([a15])], [c16, c17])).
% 3.29/0.80
% 3.29/0.80 cnf(c20, axiom,
% 3.29/0.80 c_in(X17,c_union(X18,X19,X20),X20) | ~c_in(X17,X18,X20)).
% 3.29/0.80 cnf(a16, assumption,
% 3.29/0.80 X14 = X17).
% 3.29/0.80 cnf(a17, assumption,
% 3.29/0.80 X7 = c_union(X18,X19,X20)).
% 3.29/0.80 cnf(a18, assumption,
% 3.29/0.80 X8 = X20).
% 3.29/0.80 cnf(c21, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c19, c20])).
% 3.29/0.80 cnf(c22, plain,
% 3.29/0.80 ~c_in(X17,X18,X20),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a16, a17, a18])], [c19, c20])).
% 3.29/0.80
% 3.29/0.80 cnf(c23, axiom,
% 3.29/0.80 c_in(v_X,v_G,tc_Message_Omsg)).
% 3.29/0.80 cnf(a19, assumption,
% 3.29/0.80 X17 = v_X).
% 3.29/0.80 cnf(a20, assumption,
% 3.29/0.80 X18 = v_G).
% 3.29/0.80 cnf(a21, assumption,
% 3.29/0.80 X20 = tc_Message_Omsg).
% 3.29/0.80 cnf(c24, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])).
% 3.29/0.80 cnf(c25, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a19, a20, a21])], [c22, c23])).
% 3.29/0.80
% 3.29/0.80 cnf(c26, axiom,
% 3.29/0.80 c_lessequals(X21,X22,tc_set(X23)) | c_in(c_Main_OsubsetI__1(X21,X22,X23),X21,X23)).
% 3.29/0.80 cnf(a22, assumption,
% 3.29/0.80 X13 = c_Main_OsubsetI__1(X21,X22,X23)).
% 3.29/0.80 cnf(a23, assumption,
% 3.29/0.80 c_insert(X14,X15,X16) = X21).
% 3.29/0.80 cnf(a24, assumption,
% 3.29/0.80 X16 = X23).
% 3.29/0.80 cnf(c27, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c18, c26])).
% 3.29/0.80 cnf(c28, plain,
% 3.29/0.80 c_lessequals(X21,X22,tc_set(X23)),
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a22, a23, a24])], [c18, c26])).
% 3.29/0.80
% 3.29/0.80 cnf(c29, plain,
% 3.29/0.80 ~c_lessequals(X4,X5,tc_set(tc_Message_Omsg))).
% 3.29/0.80 cnf(a25, assumption,
% 3.29/0.80 X21 = X4).
% 3.29/0.80 cnf(a26, assumption,
% 3.29/0.80 X22 = X5).
% 3.29/0.80 cnf(a27, assumption,
% 3.29/0.80 tc_set(X23) = tc_set(tc_Message_Omsg)).
% 3.29/0.80 cnf(c30, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(predicate_reduction, [assumptions([a25, a26, a27])], [c28, c29])).
% 3.29/0.80
% 3.29/0.80 cnf(c31, axiom,
% 3.29/0.80 c_lessequals(c_Message_Oparts(c_union(X24,X25,tc_Message_Omsg)),c_union(c_Message_Oparts(X24),c_Message_Oparts(X25),tc_Message_Omsg),tc_set(tc_Message_Omsg))).
% 3.29/0.80 cnf(a28, assumption,
% 3.29/0.80 X3 = c_Message_Oparts(c_union(X24,X25,tc_Message_Omsg))).
% 3.29/0.80 cnf(a29, assumption,
% 3.29/0.80 X1 = c_union(c_Message_Oparts(X24),c_Message_Oparts(X25),tc_Message_Omsg)).
% 3.29/0.80 cnf(a30, assumption,
% 3.29/0.80 tc_set(X2) = tc_set(tc_Message_Omsg)).
% 3.29/0.80 cnf(c32, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a28, a29, a30])], [c6, c31])).
% 3.29/0.80 cnf(c33, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(strict_predicate_extension, [assumptions([a28, a29, a30])], [c6, c31])).
% 3.29/0.80
% 3.29/0.80 cnf(c34, plain,
% 3.29/0.80 $false,
% 3.29/0.80 inference(constraint_solving, [
% 3.29/0.80 bind(X0, c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg))),
% 3.29/0.80 bind(X1, c_union(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_Message_Omsg)),
% 3.29/0.80 bind(X2, tc_Message_Omsg),
% 3.29/0.80 bind(X3, c_Message_Oparts(X5)),
% 3.29/0.80 bind(X4, c_insert(v_X,v_H,tc_Message_Omsg)),
% 3.29/0.80 bind(X5, c_union(X10,X11,X12)),
% 3.29/0.80 bind(X6, c_insert(v_X,v_H,tc_Message_Omsg)),
% 3.29/0.80 bind(X7, c_union(X10,X11,X12)),
% 3.29/0.80 bind(X8, tc_Message_Omsg),
% 3.29/0.80 bind(X9, c_Main_OsubsetI__1(X6,X7,X8)),
% 3.29/0.80 bind(X10, v_G),
% 3.29/0.80 bind(X11, v_H),
% 3.29/0.80 bind(X12, tc_Message_Omsg),
% 3.29/0.80 bind(X13, c_Main_OsubsetI__1(X6,X7,X8)),
% 3.29/0.80 bind(X14, v_X),
% 3.29/0.80 bind(X15, v_H),
% 3.29/0.80 bind(X16, tc_Message_Omsg),
% 3.29/0.80 bind(X17, v_X),
% 3.29/0.80 bind(X18, v_G),
% 3.29/0.80 bind(X19, v_H),
% 3.29/0.80 bind(X20, tc_Message_Omsg),
% 3.29/0.80 bind(X21, c_insert(v_X,v_H,tc_Message_Omsg)),
% 3.29/0.80 bind(X22, c_union(X10,X11,X12)),
% 3.29/0.80 bind(X23, tc_Message_Omsg),
% 3.29/0.80 bind(X24, v_G),
% 3.29/0.80 bind(X25, v_H)
% 3.29/0.80 ],
% 3.29/0.80 [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])).
% 3.29/0.80
% 3.29/0.80 % SZS output end IncompleteProof
%------------------------------------------------------------------------------