TSTP Solution File: LCL431-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n026.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 13:54:26 EDT 2022

% Result   : Unsatisfiable 1.50s 1.66s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    input ).

cnf(reflexivity,axiom,
    X2 = X2,
    eq_axiom ).

cnf(cls_Set_ODiff__cancel_0,axiom,
    c_minus(X7,X7,tc_set(X6)) = c_emptyset,
    input ).

cnf(c0,plain,
    ( X33 != X32
    | X34 != X35
    | c_PropLog_Othms(X33,X34) = c_PropLog_Othms(X32,X35) ),
    eq_axiom ).

cnf(c24,plain,
    ( X36 != X38
    | c_PropLog_Othms(X36,X37) = c_PropLog_Othms(X38,X37) ),
    inference(resolution,status(thm),[c0,reflexivity]) ).

cnf(c26,plain,
    c_PropLog_Othms(c_minus(X95,X95,tc_set(X94)),X93) = c_PropLog_Othms(c_emptyset,X93),
    inference(resolution,status(thm),[c24,cls_Set_ODiff__cancel_0]) ).

cnf(c6,plain,
    ( X102 != X106
    | X103 != X107
    | X105 != X104
    | ~ c_in(X102,X103,X105)
    | c_in(X106,X107,X104) ),
    eq_axiom ).

cnf(cls_conjecture_0,negated_conjecture,
    c_PropLog_Osat(c_emptyset,v_p,t_a),
    input ).

cnf(cls_PropLog_Ocompleteness__0__lemma__dest_0,axiom,
    ( ~ c_PropLog_Osat(c_emptyset,X22,X19)
    | c_in(X22,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(X22,X20,X19),c_PropLog_Ohyps(X22,X21,X19),tc_set(tc_PropLog_Opl(X19))),X19),tc_PropLog_Opl(X19)) ),
    input ).

cnf(c16,plain,
    c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X120,t_a),c_PropLog_Ohyps(v_p,X121,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[cls_PropLog_Ocompleteness__0__lemma__dest_0,cls_conjecture_0]) ).

cnf(c114,plain,
    ( v_p != X932
    | c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X934,t_a),c_PropLog_Ohyps(v_p,X935,t_a),tc_set(tc_PropLog_Opl(t_a))),t_a) != X933
    | tc_PropLog_Opl(t_a) != X931
    | c_in(X932,X933,X931) ),
    inference(resolution,status(thm),[c16,c6]) ).

cnf(c4713,plain,
    ( v_p != X940
    | tc_PropLog_Opl(t_a) != X939
    | c_in(X940,c_PropLog_Othms(c_emptyset,t_a),X939) ),
    inference(resolution,status(thm),[c114,c26]) ).

cnf(c4766,plain,
    ( v_p != X941
    | c_in(X941,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,status(thm),[c4713,reflexivity]) ).

cnf(c4767,plain,
    c_in(v_p,c_PropLog_Othms(c_emptyset,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c4766,reflexivity]) ).

cnf(c4768,plain,
    $false,
    inference(resolution,status(thm),[c4767,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL431-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n026.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul  3 13:47:21 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.50/1.66  # Version:  1.3
% 1.50/1.66  # SZS status Unsatisfiable
% 1.50/1.66  # SZS output start CNFRefutation
% See solution above
% 1.50/1.66  
% 1.50/1.66  # Initial clauses    : 14
% 1.50/1.66  # Processed clauses  : 182
% 1.50/1.66  # Factors computed   : 0
% 1.50/1.66  # Resolvents computed: 4763
% 1.50/1.66  # Tautologies deleted: 1
% 1.50/1.66  # Forward subsumed   : 115
% 1.50/1.66  # Backward subsumed  : 0
% 1.50/1.66  # -------- CPU Time ---------
% 1.50/1.66  # User time          : 1.287 s
% 1.50/1.66  # System time        : 0.022 s
% 1.50/1.66  # Total time         : 1.309 s
%------------------------------------------------------------------------------