TSTP Solution File: LCL436-2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LCL436-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% 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 12:52:15 EDT 2022
% Result : Unsatisfiable 0.15s 0.36s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 3 RR)
% Number of literals : 10 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-3 aty)
% Number of variables : 26 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ).
cnf(cls_PropLog_Othms_OS_0,axiom,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,T_a),T_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,T_a),T_a),T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ).
cnf(cls_PropLog_Oweaken__right_0,axiom,
( ~ c_in(V_q,c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a))
| c_in(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,T_a),c_PropLog_Othms(V_H,T_a),tc_PropLog_Opl(T_a)) ) ).
cnf(refute_0_0,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_5),X_5),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_5),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_5),X_5),X_5),c_PropLog_Othms(X_6,X_5),tc_PropLog_Opl(X_5)),
inference(subst,[],[cls_PropLog_Othms_OS_0:[bind(T_a,$fot(X_5)),bind(V_H,$fot(X_6))]]) ).
cnf(refute_0_1,plain,
( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_5),X_5),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_5),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_5),X_5),X_5),c_PropLog_Othms(X_6,X_5),tc_PropLog_Opl(X_5))
| c_in(c_PropLog_Opl_Oop_A_N_62(X_7,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_5),X_5),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_5),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_5),X_5),X_5),X_5),c_PropLog_Othms(X_6,X_5),tc_PropLog_Opl(X_5)) ),
inference(subst,[],[cls_PropLog_Oweaken__right_0:[bind(T_a,$fot(X_5)),bind(V_H,$fot(X_6)),bind(V_p,$fot(X_7)),bind(V_q,$fot(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_5),X_5),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_5),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_5),X_5),X_5)))]]) ).
cnf(refute_0_2,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(X_7,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_5),X_5),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_5),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_5),X_5),X_5),X_5),c_PropLog_Othms(X_6,X_5),tc_PropLog_Opl(X_5)),
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,c_PropLog_Opl_Oop_A_N_62(V_q,V_r,X_5),X_5),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(V_p,V_q,X_5),c_PropLog_Opl_Oop_A_N_62(V_p,V_r,X_5),X_5),X_5),c_PropLog_Othms(X_6,X_5),tc_PropLog_Opl(X_5)) )],[refute_0_0,refute_0_1]) ).
cnf(refute_0_3,plain,
c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
inference(subst,[],[refute_0_2:[bind(V_p,$fot(v_pa)),bind(V_q,$fot(v_q)),bind(V_r,$fot(v_r)),bind(X_5,$fot(t_a)),bind(X_6,$fot(v_H)),bind(X_7,$fot(v_p))]]) ).
cnf(refute_0_4,plain,
$false,
inference(resolve,[$cnf( c_in(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,c_PropLog_Opl_Oop_A_N_62(v_q,v_r,t_a),t_a),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_pa,v_q,t_a),c_PropLog_Opl_Oop_A_N_62(v_pa,v_r,t_a),t_a),t_a),t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) )],[refute_0_3,cls_conjecture_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : LCL436-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.14 % Command : metis --show proof --show saturation %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 4 15:30:16 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.15/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.15/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36
% 0.15/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.15/0.36
%------------------------------------------------------------------------------