TSTP Solution File: LCL431-2 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 : Sun Jul 17 12:52:12 EDT 2022
% Result : Unsatisfiable 0.11s 0.26s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 12 ( 8 unt; 0 nHn; 6 RR)
% Number of literals : 17 ( 3 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 14 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
c_PropLog_Osat(c_emptyset,v_p,t_a) ).
cnf(cls_conjecture_1,negated_conjecture,
~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ).
cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0,axiom,
( ~ c_PropLog_Osat(c_emptyset,V_p,T_a)
| c_in(V_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(V_p,V_U,T_a),c_PropLog_Ohyps(V_p,V_t0,T_a),tc_set(tc_PropLog_Opl(T_a))),T_a),tc_PropLog_Opl(T_a)) ) ).
cnf(cls_Set_ODiff__cancel_0,axiom,
c_minus(V_A,V_A,tc_set(T_a)) = c_emptyset ).
cnf(refute_0_0,plain,
( ~ c_PropLog_Osat(c_emptyset,v_p,t_a)
| c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_3,t_a),c_PropLog_Ohyps(v_p,X_5,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
inference(subst,[],[cls_PropLog_Ocompleteness__0__lemma__dest_0:[bind(T_a,$fot(t_a)),bind(V_U,$fot(X_3)),bind(V_p,$fot(v_p)),bind(V_t0,$fot(X_5))]]) ).
cnf(refute_0_1,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_3,t_a),c_PropLog_Ohyps(v_p,X_5,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_PropLog_Osat(c_emptyset,v_p,t_a) )],[cls_conjecture_0,refute_0_0]) ).
cnf(refute_0_2,plain,
c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_1:[bind(X_3,$fot(X_7)),bind(X_5,$fot(X_7))]]) ).
cnf(refute_0_3,plain,
c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))) = c_emptyset,
inference(subst,[],[cls_Set_ODiff__cancel_0:[bind(T_a,$fot(tc_PropLog_Opl(t_a))),bind(V_A,$fot(c_PropLog_Ohyps(v_p,X_7,t_a)))]]) ).
cnf(refute_0_4,plain,
( c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))) != c_emptyset
| ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ),
introduced(tautology,[equality,[$cnf( c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),[1,0],$fot(c_emptyset)]]) ).
cnf(refute_0_5,plain,
( ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a))
| c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ),
inference(resolve,[$cnf( $equal(c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))),c_emptyset) )],[refute_0_3,refute_0_4]) ).
cnf(refute_0_6,plain,
c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X_7,t_a),c_PropLog_Ohyps(v_p,X_7,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) )],[refute_0_2,refute_0_5]) ).
cnf(refute_0_7,plain,
$false,
inference(resolve,[$cnf( c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_6,cls_conjecture_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.07 % Problem : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.07 % Command : metis --show proof --show saturation %s
% 0.07/0.26 % Computer : n016.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 600
% 0.07/0.26 % DateTime : Sun Jul 3 13:55:00 EDT 2022
% 0.07/0.26 % CPUTime :
% 0.07/0.26 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.11/0.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.26
% 0.11/0.26 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.11/0.27
%------------------------------------------------------------------------------