TSTP Solution File: LCL442-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : LCL442-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 13:54:34 EDT 2022
% Result : Unsatisfiable 1.69s 1.92s
% Output : Refutation 1.69s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
input ).
cnf(cls_PropLog_Oweaken__left__Un1_0,axiom,
( ~ c_in(X7,c_PropLog_Othms(X6,X8),tc_PropLog_Opl(X8))
| c_in(X7,c_PropLog_Othms(c_union(X6,X9,tc_PropLog_Opl(X8)),X8),tc_PropLog_Opl(X8)) ),
input ).
cnf(cls_conjecture_1,negated_conjecture,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
input ).
cnf(cls_PropLog_Ofalse__imp_0,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X15,c_PropLog_Opl_Ofalse,X16),c_PropLog_Othms(X17,X16),tc_PropLog_Opl(X16))
| c_in(c_PropLog_Opl_Oop_A_N_62(X15,X14,X16),c_PropLog_Othms(X17,X16),tc_PropLog_Opl(X16)) ),
input ).
cnf(c4,plain,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X18,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
inference(resolution,status(thm),[cls_PropLog_Ofalse__imp_0,cls_conjecture_1]) ).
cnf(c7,plain,
( c_PropLog_Oeval(v_tt,v_pl1,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,X28,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),X29,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,status(thm),[c4,cls_PropLog_Oweaken__left__Un1_0]) ).
cnf(c32,plain,
c_PropLog_Oeval(v_tt,v_pl1,t_a),
inference(resolution,status(thm),[c7,cls_conjecture_4]) ).
cnf(cls_conjecture_9,negated_conjecture,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
input ).
cnf(cls_conjecture_0,negated_conjecture,
( c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
input ).
cnf(c35,plain,
c_in(v_pl1,c_PropLog_Othms(c_PropLog_Ohyps(v_pl1,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,status(thm),[c32,cls_conjecture_0]) ).
cnf(c37,plain,
c_in(v_pl1,c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),X31,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,status(thm),[c35,cls_PropLog_Oweaken__left__Un1_0]) ).
cnf(cls_PropLog_Oimp__false_0,axiom,
( ~ c_in(X40,c_PropLog_Othms(X42,X41),tc_PropLog_Opl(X41))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X39,c_PropLog_Opl_Ofalse,X41),c_PropLog_Othms(X42,X41),tc_PropLog_Opl(X41))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X40,X39,X41),c_PropLog_Opl_Ofalse,X41),c_PropLog_Othms(X42,X41),tc_PropLog_Opl(X41)) ),
input ).
cnf(cls_PropLog_Oweaken__left__Un2_0,axiom,
( ~ c_in(X11,c_PropLog_Othms(X10,X12),tc_PropLog_Opl(X12))
| c_in(X11,c_PropLog_Othms(c_union(X13,X10,tc_PropLog_Opl(X12)),X12),tc_PropLog_Opl(X12)) ),
input ).
cnf(cls_conjecture_3,negated_conjecture,
( c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
input ).
cnf(c11,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,X20,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,status(thm),[cls_conjecture_3,cls_PropLog_Ofalse__imp_0]) ).
cnf(c19,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,X102,t_a),c_PropLog_Othms(c_union(X101,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,status(thm),[c11,cls_PropLog_Oweaken__left__Un2_0]) ).
cnf(c100,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(X358,c_PropLog_Othms(c_union(X359,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X358,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(X359,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,status(thm),[c19,cls_PropLog_Oimp__false_0]) ).
cnf(c319,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
inference(resolution,status(thm),[c100,c37]) ).
cnf(c1088,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
inference(resolution,status(thm),[c319,cls_conjecture_9]) ).
cnf(c1094,plain,
c_PropLog_Oeval(v_tt,v_pl2,t_a),
inference(resolution,status(thm),[c1088,c32]) ).
cnf(cls_conjecture_5,negated_conjecture,
( ~ c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(v_pl1,v_pl2,t_a),c_PropLog_Othms(c_union(c_PropLog_Ohyps(v_pl1,v_tt,t_a),c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
input ).
cnf(cls_PropLog_Oweaken__right_0,axiom,
( ~ c_in(X2,c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4))
| c_in(c_PropLog_Opl_Oop_A_N_62(X3,X2,X4),c_PropLog_Othms(X5,X4),tc_PropLog_Opl(X4)) ),
input ).
cnf(cls_conjecture_2,negated_conjecture,
( c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a))
| ~ c_PropLog_Oeval(v_tt,v_pl2,t_a) ),
input ).
cnf(c1095,plain,
c_in(v_pl2,c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,status(thm),[c1094,cls_conjecture_2]) ).
cnf(c1096,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1184,v_pl2,t_a),c_PropLog_Othms(c_PropLog_Ohyps(v_pl2,v_tt,t_a),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,status(thm),[c1095,cls_PropLog_Oweaken__right_0]) ).
cnf(c1101,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1194,v_pl2,t_a),c_PropLog_Othms(c_union(X1193,c_PropLog_Ohyps(v_pl2,v_tt,t_a),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
inference(resolution,status(thm),[c1096,cls_PropLog_Oweaken__left__Un2_0]) ).
cnf(c1114,plain,
~ c_PropLog_Oeval(v_tt,v_pl2,t_a),
inference(resolution,status(thm),[c1101,cls_conjecture_5]) ).
cnf(c1118,plain,
$false,
inference(resolution,status(thm),[c1114,c1094]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : LCL442-2 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.10/0.32 % Computer : n006.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Sun Jul 3 10:08:52 EDT 2022
% 0.10/0.32 % CPUTime :
% 1.69/1.92 # Version: 1.3
% 1.69/1.92 # SZS status Unsatisfiable
% 1.69/1.92 # SZS output start CNFRefutation
% See solution above
% 1.69/1.92
% 1.69/1.92 # Initial clauses : 12
% 1.69/1.92 # Processed clauses : 227
% 1.69/1.92 # Factors computed : 1
% 1.69/1.92 # Resolvents computed: 1118
% 1.69/1.92 # Tautologies deleted: 0
% 1.69/1.92 # Forward subsumed : 153
% 1.69/1.92 # Backward subsumed : 77
% 1.69/1.92 # -------- CPU Time ---------
% 1.69/1.92 # User time : 1.577 s
% 1.69/1.92 # System time : 0.019 s
% 1.69/1.92 # Total time : 1.596 s
%------------------------------------------------------------------------------