TSTP Solution File: LCL442-2 by PyRes---1.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 : 300s
% DateTime : Thu May 9 17:31:25 EDT 2024
% Result : Unsatisfiable 1.91s 2.09s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of clauses : 28 ( 9 unt; 8 nHn; 17 RR)
% Number of literals : 50 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 32 ( 14 sgn)
% 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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_PropLog_Oweaken__left__Un1_0,axiom,
( ~ c_in(X9,c_PropLog_Othms(X7,X6),tc_PropLog_Opl(X6))
| c_in(X9,c_PropLog_Othms(c_union(X7,X8,tc_PropLog_Opl(X6)),X6),tc_PropLog_Opl(X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un1_0) ).
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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_PropLog_Ofalse__imp_0,axiom,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X16,c_PropLog_Opl_Ofalse,X14),c_PropLog_Othms(X17,X14),tc_PropLog_Opl(X14))
| c_in(c_PropLog_Opl_Oop_A_N_62(X16,X15,X14),c_PropLog_Othms(X17,X14),tc_PropLog_Opl(X14)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Ofalse__imp_0) ).
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(c5,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(c33,plain,
c_PropLog_Oeval(v_tt,v_pl1,t_a),
inference(resolution,[status(thm)],[c5,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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
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)],[c33,cls_conjecture_0]) ).
cnf(c36,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(X41,c_PropLog_Othms(X42,X39),tc_PropLog_Opl(X39))
| ~ c_in(c_PropLog_Opl_Oop_A_N_62(X40,c_PropLog_Opl_Ofalse,X39),c_PropLog_Othms(X42,X39),tc_PropLog_Opl(X39))
| c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X41,X40,X39),c_PropLog_Opl_Ofalse,X39),c_PropLog_Othms(X42,X39),tc_PropLog_Opl(X39)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oimp__false_0) ).
cnf(cls_PropLog_Oweaken__left__Un2_0,axiom,
( ~ c_in(X12,c_PropLog_Othms(X11,X10),tc_PropLog_Opl(X10))
| c_in(X12,c_PropLog_Othms(c_union(X13,X11,tc_PropLog_Opl(X10)),X10),tc_PropLog_Opl(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__left__Un2_0) ).
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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
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(c18,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| c_in(c_PropLog_Opl_Oop_A_N_62(v_pl2,X104,t_a),c_PropLog_Othms(c_union(X103,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(c103,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_in(X414,c_PropLog_Othms(c_union(X413,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(X414,v_pl2,t_a),c_PropLog_Opl_Ofalse,t_a),c_PropLog_Othms(c_union(X413,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)],[c18,cls_PropLog_Oimp__false_0]) ).
cnf(c414,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)],[c103,c36]) ).
cnf(c1163,plain,
( c_PropLog_Oeval(v_tt,v_pl2,t_a)
| ~ c_PropLog_Oeval(v_tt,v_pl1,t_a) ),
inference(resolution,[status(thm)],[c414,cls_conjecture_9]) ).
cnf(c1177,plain,
c_PropLog_Oeval(v_tt,v_pl2,t_a),
inference(resolution,[status(thm)],[c1163,c33]) ).
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)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_PropLog_Oweaken__right_0,axiom,
( ~ c_in(X3,c_PropLog_Othms(X5,X2),tc_PropLog_Opl(X2))
| c_in(c_PropLog_Opl_Oop_A_N_62(X4,X3,X2),c_PropLog_Othms(X5,X2),tc_PropLog_Opl(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_PropLog_Oweaken__right_0) ).
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) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c1178,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)],[c1177,cls_conjecture_2]) ).
cnf(c1181,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1195,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)],[c1178,cls_PropLog_Oweaken__right_0]) ).
cnf(c1183,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X1205,v_pl2,t_a),c_PropLog_Othms(c_union(X1204,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)],[c1181,cls_PropLog_Oweaken__left__Un2_0]) ).
cnf(c1198,plain,
~ c_PropLog_Oeval(v_tt,v_pl2,t_a),
inference(resolution,[status(thm)],[c1183,cls_conjecture_5]) ).
cnf(c1201,plain,
$false,
inference(resolution,[status(thm)],[c1198,c1177]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : LCL442-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.11 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.11/0.32 % Computer : n005.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Wed May 8 14:50:23 EDT 2024
% 0.11/0.32 % CPUTime :
% 1.91/2.09 % Version: 1.5
% 1.91/2.09 % SZS status Unsatisfiable
% 1.91/2.09 % SZS output start CNFRefutation
% See solution above
% 1.91/2.09
% 1.91/2.09 % Initial clauses : 12
% 1.91/2.09 % Processed clauses : 233
% 1.91/2.09 % Factors computed : 2
% 1.91/2.09 % Resolvents computed: 1200
% 1.91/2.09 % Tautologies deleted: 0
% 1.91/2.09 % Forward subsumed : 163
% 1.91/2.09 % Backward subsumed : 82
% 1.91/2.09 % -------- CPU Time ---------
% 1.91/2.09 % User time : 1.742 s
% 1.91/2.09 % System time : 0.014 s
% 1.91/2.09 % Total time : 1.757 s
%------------------------------------------------------------------------------