TSTP Solution File: LCL430-2 by lazyCoP---0.1
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%------------------------------------------------------------------------------
% File : lazyCoP---0.1
% Problem : LCL430-2 : 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 : n015.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 : Sun Jul 17 12:09:04 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL430-2 : 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 : n015.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 : Mon Jul 4 11:27:31 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_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))).
% 0.13/0.35 cnf(c1, plain,
% 0.13/0.35 ~c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(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_in(X0,c_PropLog_Othms(X1,X2),tc_PropLog_Opl(X2)) | ~c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X2),X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) | ~c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2))).
% 0.13/0.35 cnf(a0, assumption,
% 0.13/0.35 v_p = X0).
% 0.13/0.35 cnf(a1, assumption,
% 0.13/0.35 c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a) = c_PropLog_Othms(X1,X2)).
% 0.13/0.35 cnf(a2, assumption,
% 0.13/0.35 tc_PropLog_Opl(t_a) = tc_PropLog_Opl(X2)).
% 0.13/0.35 cnf(c3, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.13/0.35 cnf(c4, plain,
% 0.13/0.35 ~c_in(X0,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X2),X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)) | ~c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a0, a1, a2])], [c1, c2])).
% 0.13/0.35
% 0.13/0.35 cnf(c5, axiom,
% 0.13/0.35 c_in(X4,c_PropLog_Othms(X5,X6),tc_PropLog_Opl(X6)) | ~c_lessequals(X7,X5,tc_set(tc_PropLog_Opl(X6))) | ~c_in(X4,c_PropLog_Othms(X7,X6),tc_PropLog_Opl(X6))).
% 0.13/0.35 cnf(a3, assumption,
% 0.13/0.35 X0 = X4).
% 0.13/0.35 cnf(a4, assumption,
% 0.13/0.35 c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X2),X1,tc_PropLog_Opl(X2)),X2) = c_PropLog_Othms(X5,X6)).
% 0.13/0.35 cnf(a5, assumption,
% 0.13/0.35 tc_PropLog_Opl(X2) = tc_PropLog_Opl(X6)).
% 0.13/0.35 cnf(c6, plain,
% 0.13/0.35 ~c_in(X0,c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2),tc_PropLog_Opl(X2)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.13/0.35 cnf(c7, plain,
% 0.13/0.35 ~c_lessequals(X7,X5,tc_set(tc_PropLog_Opl(X6))) | ~c_in(X4,c_PropLog_Othms(X7,X6),tc_PropLog_Opl(X6)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a3, a4, a5])], [c4, c5])).
% 0.13/0.35
% 0.13/0.35 cnf(c8, axiom,
% 0.13/0.35 c_lessequals(c_minus(X8,X9,tc_set(X10)),c_insert(X11,c_minus(X8,c_insert(X11,X9,X10),tc_set(X10)),X10),tc_set(X10))).
% 0.13/0.35 cnf(a6, assumption,
% 0.13/0.35 X7 = c_minus(X8,X9,tc_set(X10))).
% 0.13/0.35 cnf(a7, assumption,
% 0.13/0.35 X5 = c_insert(X11,c_minus(X8,c_insert(X11,X9,X10),tc_set(X10)),X10)).
% 0.13/0.35 cnf(a8, assumption,
% 0.13/0.35 tc_set(tc_PropLog_Opl(X6)) = tc_set(X10)).
% 0.13/0.35 cnf(c9, plain,
% 0.13/0.35 ~c_in(X4,c_PropLog_Othms(X7,X6),tc_PropLog_Opl(X6)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.13/0.35 cnf(c10, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a6, a7, a8])], [c7, c8])).
% 0.13/0.35
% 0.13/0.35 cnf(c11, axiom,
% 0.13/0.35 c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X12,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))).
% 0.13/0.35 cnf(a9, assumption,
% 0.13/0.35 X4 = v_p).
% 0.13/0.35 cnf(a10, assumption,
% 0.13/0.35 c_PropLog_Othms(X7,X6) = c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X12,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a)).
% 0.13/0.35 cnf(a11, assumption,
% 0.13/0.35 tc_PropLog_Opl(X6) = tc_PropLog_Opl(t_a)).
% 0.13/0.35 cnf(c12, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])).
% 0.13/0.35 cnf(c13, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a9, a10, a11])], [c9, c11])).
% 0.13/0.35
% 0.13/0.35 cnf(c14, axiom,
% 0.13/0.35 c_in(X13,c_PropLog_Othms(X14,X15),tc_PropLog_Opl(X15)) | ~c_lessequals(X16,X14,tc_set(tc_PropLog_Opl(X15))) | ~c_in(X13,c_PropLog_Othms(X16,X15),tc_PropLog_Opl(X15))).
% 0.13/0.35 cnf(a12, assumption,
% 0.13/0.35 X0 = X13).
% 0.13/0.35 cnf(a13, assumption,
% 0.13/0.35 c_PropLog_Othms(c_insert(X3,X1,tc_PropLog_Opl(X2)),X2) = c_PropLog_Othms(X14,X15)).
% 0.13/0.35 cnf(a14, assumption,
% 0.13/0.35 tc_PropLog_Opl(X2) = tc_PropLog_Opl(X15)).
% 0.13/0.35 cnf(c15, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c6, c14])).
% 0.13/0.35 cnf(c16, plain,
% 0.13/0.35 ~c_lessequals(X16,X14,tc_set(tc_PropLog_Opl(X15))) | ~c_in(X13,c_PropLog_Othms(X16,X15),tc_PropLog_Opl(X15)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a12, a13, a14])], [c6, c14])).
% 0.13/0.35
% 0.13/0.35 cnf(c17, axiom,
% 0.13/0.35 c_lessequals(c_minus(c_insert(X17,c_minus(X18,c_insert(X19,c_emptyset,X20),tc_set(X20)),X20),X21,tc_set(X20)),c_insert(X17,c_minus(X18,c_insert(X19,X21,X20),tc_set(X20)),X20),tc_set(X20))).
% 0.13/0.35 cnf(a15, assumption,
% 0.13/0.35 X16 = c_minus(c_insert(X17,c_minus(X18,c_insert(X19,c_emptyset,X20),tc_set(X20)),X20),X21,tc_set(X20))).
% 0.13/0.35 cnf(a16, assumption,
% 0.13/0.35 X14 = c_insert(X17,c_minus(X18,c_insert(X19,X21,X20),tc_set(X20)),X20)).
% 0.13/0.35 cnf(a17, assumption,
% 0.13/0.35 tc_set(tc_PropLog_Opl(X15)) = tc_set(X20)).
% 0.13/0.35 cnf(c18, plain,
% 0.13/0.35 ~c_in(X13,c_PropLog_Othms(X16,X15),tc_PropLog_Opl(X15)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 0.13/0.35 cnf(c19, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a15, a16, a17])], [c16, c17])).
% 0.13/0.35
% 0.13/0.35 cnf(c20, axiom,
% 0.13/0.35 c_in(X22,c_PropLog_Othms(c_minus(X23,X24,tc_set(tc_PropLog_Opl(X25))),X25),tc_PropLog_Opl(X25)) | ~c_lessequals(X26,X23,tc_set(tc_PropLog_Opl(X25))) | ~c_in(X22,c_PropLog_Othms(c_minus(X26,X24,tc_set(tc_PropLog_Opl(X25))),X25),tc_PropLog_Opl(X25))).
% 0.13/0.35 cnf(a18, assumption,
% 0.13/0.35 X13 = X22).
% 0.13/0.35 cnf(a19, assumption,
% 0.13/0.35 c_PropLog_Othms(X16,X15) = c_PropLog_Othms(c_minus(X23,X24,tc_set(tc_PropLog_Opl(X25))),X25)).
% 0.13/0.35 cnf(a20, assumption,
% 0.13/0.35 tc_PropLog_Opl(X15) = tc_PropLog_Opl(X25)).
% 0.13/0.35 cnf(c21, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c20])).
% 0.13/0.35 cnf(c22, plain,
% 0.13/0.35 ~c_lessequals(X26,X23,tc_set(tc_PropLog_Opl(X25))) | ~c_in(X22,c_PropLog_Othms(c_minus(X26,X24,tc_set(tc_PropLog_Opl(X25))),X25),tc_PropLog_Opl(X25)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a18, a19, a20])], [c18, c20])).
% 0.13/0.35
% 0.13/0.35 cnf(c23, axiom,
% 0.13/0.35 c_lessequals(c_PropLog_Ohyps(X27,c_insert(X28,X29,X30),X30),c_insert(c_PropLog_Opl_Ovar(X28,X30),c_minus(c_PropLog_Ohyps(X27,X29,X30),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X28,X30),c_PropLog_Opl_Ofalse,X30),c_emptyset,tc_PropLog_Opl(X30)),tc_set(tc_PropLog_Opl(X30))),tc_PropLog_Opl(X30)),tc_set(tc_PropLog_Opl(X30)))).
% 0.13/0.35 cnf(a21, assumption,
% 0.13/0.35 X26 = c_PropLog_Ohyps(X27,c_insert(X28,X29,X30),X30)).
% 0.13/0.35 cnf(a22, assumption,
% 0.13/0.35 X23 = c_insert(c_PropLog_Opl_Ovar(X28,X30),c_minus(c_PropLog_Ohyps(X27,X29,X30),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X28,X30),c_PropLog_Opl_Ofalse,X30),c_emptyset,tc_PropLog_Opl(X30)),tc_set(tc_PropLog_Opl(X30))),tc_PropLog_Opl(X30))).
% 0.13/0.35 cnf(a23, assumption,
% 0.13/0.35 tc_set(tc_PropLog_Opl(X25)) = tc_set(tc_PropLog_Opl(X30))).
% 0.13/0.35 cnf(c24, plain,
% 0.13/0.35 ~c_in(X22,c_PropLog_Othms(c_minus(X26,X24,tc_set(tc_PropLog_Opl(X25))),X25),tc_PropLog_Opl(X25)),
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])).
% 0.13/0.35 cnf(c25, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a21, a22, a23])], [c22, c23])).
% 0.13/0.35
% 0.13/0.35 cnf(c26, axiom,
% 0.13/0.35 c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X31,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))).
% 0.13/0.35 cnf(a24, assumption,
% 0.13/0.35 X22 = v_p).
% 0.13/0.35 cnf(a25, assumption,
% 0.13/0.35 c_PropLog_Othms(c_minus(X26,X24,tc_set(tc_PropLog_Opl(X25))),X25) = c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X31,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a)).
% 0.13/0.35 cnf(a26, assumption,
% 0.13/0.35 tc_PropLog_Opl(X25) = tc_PropLog_Opl(t_a)).
% 0.13/0.35 cnf(c27, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c24, c26])).
% 0.13/0.35 cnf(c28, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(strict_predicate_extension, [assumptions([a24, a25, a26])], [c24, c26])).
% 0.13/0.35
% 0.13/0.35 cnf(c29, plain,
% 0.13/0.35 $false,
% 0.13/0.35 inference(constraint_solving, [
% 0.13/0.35 bind(X0, v_p),
% 0.13/0.35 bind(X1, c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a)))),
% 0.13/0.35 bind(X2, t_a),
% 0.13/0.35 bind(X3, c_PropLog_Opl_Ovar(v_v,t_a)),
% 0.13/0.35 bind(X4, v_p),
% 0.13/0.35 bind(X5, c_insert(c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X2),X1,tc_PropLog_Opl(X2))),
% 0.13/0.35 bind(X6, t_a),
% 0.13/0.35 bind(X7, c_minus(X8,X9,tc_set(X10))),
% 0.13/0.35 bind(X8, c_PropLog_Ohyps(v_p,v_t,t_a)),
% 0.13/0.35 bind(X9, v_F),
% 0.13/0.35 bind(X10, tc_PropLog_Opl(t_a)),
% 0.13/0.35 bind(X11, c_PropLog_Opl_Oop_A_N_62(X3,c_PropLog_Opl_Ofalse,X2)),
% 0.13/0.35 bind(X12, v_t),
% 0.13/0.35 bind(X13, v_p),
% 0.13/0.35 bind(X14, c_insert(X3,X1,tc_PropLog_Opl(X2))),
% 0.13/0.35 bind(X15, t_a),
% 0.13/0.35 bind(X16, c_minus(c_insert(X17,c_minus(X18,c_insert(X19,c_emptyset,X20),tc_set(X20)),X20),X21,tc_set(X20))),
% 0.13/0.35 bind(X17, c_PropLog_Opl_Ovar(v_v,t_a)),
% 0.13/0.35 bind(X18, c_PropLog_Ohyps(v_p,v_t,t_a)),
% 0.13/0.35 bind(X19, c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(v_v,t_a),c_PropLog_Opl_Ofalse,t_a)),
% 0.13/0.35 bind(X20, tc_PropLog_Opl(t_a)),
% 0.13/0.35 bind(X21, v_F),
% 0.13/0.35 bind(X22, v_p),
% 0.13/0.35 bind(X23, c_insert(X17,c_minus(X18,c_insert(X19,c_emptyset,X20),tc_set(X20)),X20)),
% 0.13/0.35 bind(X24, v_F),
% 0.13/0.35 bind(X25, t_a),
% 0.13/0.35 bind(X26, c_PropLog_Ohyps(X27,c_insert(X28,X29,X30),X30)),
% 0.13/0.35 bind(X27, v_p),
% 0.13/0.35 bind(X28, v_v),
% 0.13/0.35 bind(X29, v_t),
% 0.13/0.35 bind(X30, t_a),
% 0.13/0.35 bind(X31, c_insert(X28,X29,X30))
% 0.13/0.35 ],
% 0.13/0.35 [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])).
% 0.13/0.35
% 0.13/0.35 % SZS output end IncompleteProof
%------------------------------------------------------------------------------