TSTP Solution File: LCL429-2 by PyRes---1.3

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n013.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 13:54:25 EDT 2022

% Result   : Unsatisfiable 0.42s 0.56s
% Output   : Refutation 0.42s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_5,negated_conjecture,
    ~ c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,v_t,t_a),c_insert(c_PropLog_Opl_Ovar(v_v,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    input ).

cnf(cls_PropLog_Oinsert__Diff__same_0,axiom,
    c_lessequals(c_minus(X4,X2,tc_set(X5)),c_insert(X3,c_minus(X4,c_insert(X3,X2,X5),tc_set(X5)),X5),tc_set(X5)),
    input ).

cnf(cls_PropLog_Oweaken__left_0,axiom,
    ( ~ c_in(X8,c_PropLog_Othms(X9,X6),tc_PropLog_Opl(X6))
    | ~ c_lessequals(X9,X7,tc_set(tc_PropLog_Opl(X6)))
    | c_in(X8,c_PropLog_Othms(X7,X6),tc_PropLog_Opl(X6)) ),
    input ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X10,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    input ).

cnf(c0,plain,
    ( ~ c_lessequals(c_minus(c_PropLog_Ohyps(v_p,X12,t_a),v_F,tc_set(tc_PropLog_Opl(t_a))),X11,tc_set(tc_PropLog_Opl(t_a)))
    | c_in(v_p,c_PropLog_Othms(X11,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,status(thm),[cls_conjecture_3,cls_PropLog_Oweaken__left_0]) ).

cnf(c1,plain,
    c_in(v_p,c_PropLog_Othms(c_insert(X26,c_minus(c_PropLog_Ohyps(v_p,X25,t_a),c_insert(X26,v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c0,cls_PropLog_Oinsert__Diff__same_0]) ).

cnf(cls_PropLog_Othms__excluded__middle__rule_0,axiom,
    ( ~ c_in(X29,c_PropLog_Othms(c_insert(X28,X27,tc_PropLog_Opl(X30)),X30),tc_PropLog_Opl(X30))
    | ~ c_in(X29,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(X28,c_PropLog_Opl_Ofalse,X30),X27,tc_PropLog_Opl(X30)),X30),tc_PropLog_Opl(X30))
    | c_in(X29,c_PropLog_Othms(X27,X30),tc_PropLog_Opl(X30)) ),
    input ).

cnf(cls_PropLog_Oinsert__Diff__subset2_0,axiom,
    c_lessequals(c_minus(c_insert(X16,c_minus(X17,c_insert(X15,c_emptyset,X13),tc_set(X13)),X13),X14,tc_set(X13)),c_insert(X16,c_minus(X17,c_insert(X15,X14,X13),tc_set(X13)),X13),tc_set(X13)),
    input ).

cnf(cls_PropLog_ODiff__weaken__left_0,axiom,
    ( ~ c_in(X20,c_PropLog_Othms(c_minus(X18,X21,tc_set(tc_PropLog_Opl(X19))),X19),tc_PropLog_Opl(X19))
    | ~ c_lessequals(X18,X22,tc_set(tc_PropLog_Opl(X19)))
    | c_in(X20,c_PropLog_Othms(c_minus(X22,X21,tc_set(tc_PropLog_Opl(X19))),X19),tc_PropLog_Opl(X19)) ),
    input ).

cnf(c2,plain,
    ( ~ c_lessequals(c_PropLog_Ohyps(v_p,X24,t_a),X23,tc_set(tc_PropLog_Opl(t_a)))
    | c_in(v_p,c_PropLog_Othms(c_minus(X23,v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,status(thm),[cls_PropLog_ODiff__weaken__left_0,cls_conjecture_3]) ).

cnf(cls_PropLog_Ohyps__Diff_0,axiom,
    c_lessequals(c_PropLog_Ohyps(X36,c_minus(X37,c_insert(X35,c_emptyset,X34),tc_set(X34)),X34),c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X35,X34),c_PropLog_Opl_Ofalse,X34),c_minus(c_PropLog_Ohyps(X36,X37,X34),c_insert(c_PropLog_Opl_Ovar(X35,X34),c_emptyset,tc_PropLog_Opl(X34)),tc_set(tc_PropLog_Opl(X34))),tc_PropLog_Opl(X34)),tc_set(tc_PropLog_Opl(X34))),
    input ).

cnf(c5,plain,
    c_in(v_p,c_PropLog_Othms(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X39,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X38,t_a),c_insert(c_PropLog_Opl_Ovar(X39,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[cls_PropLog_Ohyps__Diff_0,c2]) ).

cnf(c7,plain,
    ( ~ c_lessequals(c_minus(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X44,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X43,t_a),c_insert(c_PropLog_Opl_Ovar(X44,t_a),c_emptyset,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),v_F,tc_set(tc_PropLog_Opl(t_a))),X45,tc_set(tc_PropLog_Opl(t_a)))
    | c_in(v_p,c_PropLog_Othms(X45,t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,status(thm),[c5,cls_PropLog_Oweaken__left_0]) ).

cnf(c9,plain,
    c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Oop_A_N_62(c_PropLog_Opl_Ovar(X46,t_a),c_PropLog_Opl_Ofalse,t_a),c_minus(c_PropLog_Ohyps(v_p,X47,t_a),c_insert(c_PropLog_Opl_Ovar(X46,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c7,cls_PropLog_Oinsert__Diff__subset2_0]) ).

cnf(c10,plain,
    ( ~ c_in(v_p,c_PropLog_Othms(c_insert(c_PropLog_Opl_Ovar(X56,t_a),c_minus(c_PropLog_Ohyps(v_p,X57,t_a),c_insert(c_PropLog_Opl_Ovar(X56,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X57,t_a),c_insert(c_PropLog_Opl_Ovar(X56,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,status(thm),[c9,cls_PropLog_Othms__excluded__middle__rule_0]) ).

cnf(c14,plain,
    c_in(v_p,c_PropLog_Othms(c_minus(c_PropLog_Ohyps(v_p,X58,t_a),c_insert(c_PropLog_Opl_Ovar(X59,t_a),v_F,tc_PropLog_Opl(t_a)),tc_set(tc_PropLog_Opl(t_a))),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c10,c1]) ).

cnf(c17,plain,
    $false,
    inference(resolution,status(thm),[c14,cls_conjecture_5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : LCL429-2 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35  % Computer : n013.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 : Sat Jul  2 11:31:59 EDT 2022
% 0.21/0.35  % CPUTime  : 
% 0.42/0.56  # Version:  1.3
% 0.42/0.56  # SZS status Unsatisfiable
% 0.42/0.56  # SZS output start CNFRefutation
% See solution above
% 0.42/0.56  
% 0.42/0.56  # Initial clauses    : 8
% 0.42/0.56  # Processed clauses  : 21
% 0.42/0.56  # Factors computed   : 0
% 0.42/0.56  # Resolvents computed: 18
% 0.42/0.56  # Tautologies deleted: 0
% 0.42/0.56  # Forward subsumed   : 0
% 0.42/0.56  # Backward subsumed  : 1
% 0.42/0.56  # -------- CPU Time ---------
% 0.42/0.56  # User time          : 0.189 s
% 0.42/0.56  # System time        : 0.022 s
% 0.42/0.56  # Total time         : 0.211 s
%------------------------------------------------------------------------------