TSTP Solution File: LCL445-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL445-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n027.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 13:54:36 EDT 2022

% Result   : Unsatisfiable 0.40s 0.56s
% Output   : Refutation 0.40s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    input ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_q,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    input ).

cnf(cls_PropLog_Odeduction_0,axiom,
    ( ~ c_in(X2,c_PropLog_Othms(c_insert(X5,X3,tc_PropLog_Opl(X4)),X4),tc_PropLog_Opl(X4))
    | c_in(c_PropLog_Opl_Oop_A_N_62(X5,X2,X4),c_PropLog_Othms(X3,X4),tc_PropLog_Opl(X4)) ),
    input ).

cnf(c0,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[cls_PropLog_Odeduction_0,cls_conjecture_1]) ).

cnf(cls_PropLog_Othms_OMP_0,axiom,
    ( ~ c_in(X9,c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X9,X6,X8),c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8))
    | c_in(X6,c_PropLog_Othms(X7,X8),tc_PropLog_Opl(X8)) ),
    input ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_q,c_PropLog_Othms(c_insert(v_p,v_H,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    input ).

cnf(c1,plain,
    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)),
    inference(resolution,status(thm),[cls_PropLog_Odeduction_0,cls_conjecture_0]) ).

cnf(cls_PropLog_Othms__excluded__middle_0,axiom,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X13,X10,X12),c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X13,c_PropLog_Opl_Ofalse,X12),X10,X12),X10,X12),X12),c_PropLog_Othms(X11,X12),tc_PropLog_Opl(X12)),
    input ).

cnf(c5,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(X22,X21,X19),c_PropLog_Othms(X20,X19),tc_PropLog_Opl(X19))
    | c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(X22,c_PropLog_Opl_Ofalse,X19),X21,X19),X21,X19),c_PropLog_Othms(X20,X19),tc_PropLog_Opl(X19)) ),
    inference(resolution,status(thm),[cls_PropLog_Othms__excluded__middle_0,cls_PropLog_Othms_OMP_0]) ).

cnf(c9,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c5,c1]) ).

cnf(c13,plain,
    ( ~ c_in(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Oop_A_N_62(v_p,c_PropLog_Opl_Ofalse,t_a),v_q,t_a),c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a))
    | c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,status(thm),[c9,cls_PropLog_Othms_OMP_0]) ).

cnf(c19,plain,
    c_in(v_q,c_PropLog_Othms(v_H,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c13,c0]) ).

cnf(c20,plain,
    $false,
    inference(resolution,status(thm),[c19,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : LCL445-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.32  % Computer : n027.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Sat Jul  2 13:18:23 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.40/0.56  # Version:  1.3
% 0.40/0.56  # SZS status Unsatisfiable
% 0.40/0.56  # SZS output start CNFRefutation
% See solution above
% 0.40/0.56  
% 0.40/0.56  # Initial clauses    : 6
% 0.40/0.56  # Processed clauses  : 17
% 0.40/0.56  # Factors computed   : 0
% 0.40/0.56  # Resolvents computed: 21
% 0.40/0.56  # Tautologies deleted: 0
% 0.40/0.56  # Forward subsumed   : 1
% 0.40/0.56  # Backward subsumed  : 3
% 0.40/0.56  # -------- CPU Time ---------
% 0.40/0.56  # User time          : 0.213 s
% 0.40/0.56  # System time        : 0.017 s
% 0.40/0.56  # Total time         : 0.230 s
%------------------------------------------------------------------------------