%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET830-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n020.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 : Tue Jul 19 04:40:31 EDT 2022

% Result   : Unsatisfiable 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(v_x,v_X,t_a),
    input ).

cnf(cls_conjecture_3,negated_conjecture,
    c_in(v_x,v_Z,t_a),
    input ).

cnf(cls_conjecture_2,negated_conjecture,
    c_in(v_x,v_Y,t_a),
    input ).

cnf(cls_Set_OIntI_0,axiom,
    ( ~ c_in(X11,X13,X12)
    | ~ c_in(X11,X10,X12)
    | c_in(X11,c_inter(X10,X13,X12),X12) ),
    input ).

cnf(c1,plain,
    ( ~ c_in(v_x,X35,t_a)
    | c_in(v_x,c_inter(v_Y,X35,t_a),t_a) ),
    inference(resolution,status(thm),[cls_Set_OIntI_0,cls_conjecture_2]) ).

cnf(c20,plain,
    c_in(v_x,c_inter(v_Y,v_Z,t_a),t_a),
    inference(resolution,status(thm),[c1,cls_conjecture_3]) ).

cnf(cls_Set_OsubsetD_0,axiom,
    ( ~ c_in(X23,X22,X24)
    | ~ c_lessequals(X22,X25,tc_set(X24))
    | c_in(X23,X25,X24) ),
    input ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X17,X19,X18),X19,X18)
    | c_lessequals(X17,X19,tc_set(X18)) ),
    input ).

cnf(cls_Set_OIntE_0,axiom,
    ( ~ c_in(X3,c_inter(X2,X5,X4),X4)
    | c_in(X3,X5,X4) ),
    input ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X14,X16,X15),X14,X15)
    | c_lessequals(X14,X16,tc_set(X15)) ),
    input ).

cnf(c4,plain,
    ( c_lessequals(c_inter(X55,X52,X53),X54,tc_set(X53))
    | c_in(c_Main_OsubsetI__1(c_inter(X55,X52,X53),X54,X53),X52,X53) ),
    inference(resolution,status(thm),[cls_Set_OsubsetI_0,cls_Set_OIntE_0]) ).

cnf(c70,plain,
    c_lessequals(c_inter(X57,X56,X58),X56,tc_set(X58)),
    inference(resolution,status(thm),[c4,cls_Set_OsubsetI_1]) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( c_lessequals(X29,v_X,tc_set(t_a))
    | ~ c_lessequals(X29,v_Z,tc_set(t_a))
    | ~ c_lessequals(X29,v_Y,tc_set(t_a)) ),
    input ).

cnf(cls_Set_OIntE_1,axiom,
    ( ~ c_in(X7,c_inter(X6,X9,X8),X8)
    | c_in(X7,X6,X8) ),
    input ).

cnf(c2,plain,
    ( c_lessequals(c_inter(X39,X36,X37),X38,tc_set(X37))
    | c_in(c_Main_OsubsetI__1(c_inter(X39,X36,X37),X38,X37),X39,X37) ),
    inference(resolution,status(thm),[cls_Set_OsubsetI_0,cls_Set_OIntE_1]) ).

cnf(c38,plain,
    c_lessequals(c_inter(X40,X42,X41),X40,tc_set(X41)),
    inference(resolution,status(thm),[c2,cls_Set_OsubsetI_1]) ).

cnf(c42,plain,
    ( c_lessequals(c_inter(v_Y,X142,t_a),v_X,tc_set(t_a))
    | ~ c_lessequals(c_inter(v_Y,X142,t_a),v_Z,tc_set(t_a)) ),
    inference(resolution,status(thm),[c38,cls_conjecture_5]) ).

cnf(c523,plain,
    c_lessequals(c_inter(v_Y,v_Z,t_a),v_X,tc_set(t_a)),
    inference(resolution,status(thm),[c42,c70]) ).

cnf(c528,plain,
    ( ~ c_in(X151,c_inter(v_Y,v_Z,t_a),t_a)
    | c_in(X151,v_X,t_a) ),
    inference(resolution,status(thm),[c523,cls_Set_OsubsetD_0]) ).

cnf(c579,plain,
    c_in(v_x,v_X,t_a),
    inference(resolution,status(thm),[c528,c20]) ).

cnf(c590,plain,
    $false,
    inference(resolution,status(thm),[c579,cls_conjecture_4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SET830-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34  % Computer : n020.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jul 10 05:11:13 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.56/0.77  # Version:  1.3
% 0.56/0.77  # SZS status Unsatisfiable
% 0.56/0.77  # SZS output start CNFRefutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  # Initial clauses    : 10
% 0.56/0.77  # Processed clauses  : 71
% 0.56/0.77  # Factors computed   : 1
% 0.56/0.77  # Resolvents computed: 596
% 0.56/0.77  # Tautologies deleted: 1
% 0.56/0.77  # Forward subsumed   : 64
% 0.56/0.77  # Backward subsumed  : 0
% 0.56/0.77  # -------- CPU Time ---------
% 0.56/0.77  # User time          : 0.410 s
% 0.56/0.77  # System time        : 0.014 s
% 0.56/0.77  # Total time         : 0.424 s
%------------------------------------------------------------------------------