%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n018.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 13:54:28 EDT 2022

% Result   : Unsatisfiable 0.50s 0.70s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    input ).

cnf(cls_Set_OinsertCI_1,axiom,
    c_in(X4,c_insert(X4,X2,X3),X3),
    input ).

cnf(cls_PropLog_Othms_OH_0,axiom,
    ( ~ c_in(X6,X7,tc_PropLog_Opl(X5))
    | c_in(X6,c_PropLog_Othms(X7,X5),tc_PropLog_Opl(X5)) ),
    input ).

cnf(c0,plain,
    c_in(X8,c_PropLog_Othms(c_insert(X8,X10,tc_PropLog_Opl(X9)),X9),tc_PropLog_Opl(X9)),
    inference(resolution,status(thm),[cls_PropLog_Othms_OH_0,cls_Set_OinsertCI_1]) ).

cnf(cls_PropLog_Othms_OMP_0,axiom,
    ( ~ c_in(X23,c_PropLog_Othms(X24,X22),tc_PropLog_Opl(X22))
    | ~ c_in(c_PropLog_Opl_Oop_A_N_62(X23,X25,X22),c_PropLog_Othms(X24,X22),tc_PropLog_Opl(X22))
    | c_in(X25,c_PropLog_Othms(X24,X22),tc_PropLog_Opl(X22)) ),
    input ).

cnf(cls_conjecture_4,negated_conjecture,
    ( c_in(X14,c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a))
    | ~ c_PropLog_Osat(v_F,X14,t_a) ),
    input ).

cnf(cls_conjecture_2,negated_conjecture,
    c_PropLog_Osat(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),v_xa,t_a),
    input ).

cnf(cls_PropLog_Osat__imp_0,axiom,
    ( ~ c_PropLog_Osat(c_insert(X16,X17,tc_PropLog_Opl(X15)),X18,X15)
    | c_PropLog_Osat(X17,c_PropLog_Opl_Oop_A_N_62(X16,X18,X15),X15) ),
    input ).

cnf(c3,plain,
    c_PropLog_Osat(v_F,c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),t_a),
    inference(resolution,status(thm),[cls_PropLog_Osat__imp_0,cls_conjecture_2]) ).

cnf(c4,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(v_F,t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c3,cls_conjecture_4]) ).

cnf(cls_PropLog_Oweaken__left__insert_0,axiom,
    ( ~ c_in(X30,c_PropLog_Othms(X31,X32),tc_PropLog_Opl(X32))
    | c_in(X30,c_PropLog_Othms(c_insert(X29,X31,tc_PropLog_Opl(X32)),X32),tc_PropLog_Opl(X32)) ),
    input ).

cnf(c15,plain,
    c_in(c_PropLog_Opl_Oop_A_N_62(v_x,v_xa,t_a),c_PropLog_Othms(c_insert(X45,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[cls_PropLog_Oweaken__left__insert_0,c4]) ).

cnf(c31,plain,
    ( ~ c_in(v_x,c_PropLog_Othms(c_insert(X251,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a))
    | c_in(v_xa,c_PropLog_Othms(c_insert(X251,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)) ),
    inference(resolution,status(thm),[c15,cls_PropLog_Othms_OMP_0]) ).

cnf(c183,plain,
    c_in(v_xa,c_PropLog_Othms(c_insert(v_x,v_F,tc_PropLog_Opl(t_a)),t_a),tc_PropLog_Opl(t_a)),
    inference(resolution,status(thm),[c31,c0]) ).

cnf(c186,plain,
    $false,
    inference(resolution,status(thm),[c183,cls_conjecture_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : LCL433-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n018.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 08:26:19 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.50/0.70  # Version:  1.3
% 0.50/0.70  # SZS status Unsatisfiable
% 0.50/0.70  # SZS output start CNFRefutation
% See solution above
% 0.50/0.70  
% 0.50/0.70  # Initial clauses    : 8
% 0.50/0.70  # Processed clauses  : 63
% 0.50/0.70  # Factors computed   : 0
% 0.50/0.70  # Resolvents computed: 187
% 0.50/0.70  # Tautologies deleted: 0
% 0.50/0.70  # Forward subsumed   : 16
% 0.50/0.70  # Backward subsumed  : 0
% 0.50/0.70  # -------- CPU Time ---------
% 0.50/0.70  # User time          : 0.345 s
% 0.50/0.70  # System time        : 0.018 s
% 0.50/0.70  # Total time         : 0.363 s
%------------------------------------------------------------------------------