TSTP Solution File: SET834-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n016.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 04:40:34 EDT 2022

% Result   : Unsatisfiable 0.60s 0.83s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_x,v_Z,t_a),
    input ).

cnf(cls_conjecture_4,negated_conjecture,
    ~ c_in(v_x,v_Y,t_a),
    input ).

cnf(cls_Set_OUnE_0,axiom,
    ( ~ c_in(X24,c_union(X27,X26,X25),X25)
    | c_in(X24,X26,X25)
    | c_in(X24,X27,X25) ),
    input ).

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

cnf(cls_Set_OsubsetD_0,axiom,
    ( ~ c_in(X20,X22,X21)
    | ~ c_lessequals(X22,X23,tc_set(X21))
    | c_in(X20,X23,X21) ),
    input ).

cnf(cls_Set_OsubsetI_1,axiom,
    ( ~ c_in(c_Main_OsubsetI__1(X17,X15,X16),X15,X16)
    | c_lessequals(X17,X15,tc_set(X16)) ),
    input ).

cnf(cls_Set_OUnCI_1,axiom,
    ( ~ c_in(X7,X9,X8)
    | c_in(X7,c_union(X9,X10,X8),X8) ),
    input ).

cnf(cls_Set_OsubsetI_0,axiom,
    ( c_in(c_Main_OsubsetI__1(X14,X12,X13),X14,X13)
    | c_lessequals(X14,X12,tc_set(X13)) ),
    input ).

cnf(c7,plain,
    ( c_lessequals(X54,X53,tc_set(X56))
    | c_in(c_Main_OsubsetI__1(X54,X53,X56),c_union(X54,X55,X56),X56) ),
    inference(resolution,status(thm),[cls_Set_OsubsetI_0,cls_Set_OUnCI_1]) ).

cnf(c51,plain,
    c_lessequals(X57,c_union(X57,X58,X59),tc_set(X59)),
    inference(resolution,status(thm),[c7,cls_Set_OsubsetI_1]) ).

cnf(cls_conjecture_5,negated_conjecture,
    ( c_lessequals(v_X,X37,tc_set(t_a))
    | ~ c_lessequals(v_Z,X37,tc_set(t_a))
    | ~ c_lessequals(v_Y,X37,tc_set(t_a)) ),
    input ).

cnf(cls_Set_OUnCI_0,axiom,
    ( ~ c_in(X2,X4,X3)
    | c_in(X2,c_union(X5,X4,X3),X3) ),
    input ).

cnf(c6,plain,
    ( c_lessequals(X46,X48,tc_set(X49))
    | c_in(c_Main_OsubsetI__1(X46,X48,X49),c_union(X47,X46,X49),X49) ),
    inference(resolution,status(thm),[cls_Set_OsubsetI_0,cls_Set_OUnCI_0]) ).

cnf(c42,plain,
    c_lessequals(X50,c_union(X52,X50,X51),tc_set(X51)),
    inference(resolution,status(thm),[c6,cls_Set_OsubsetI_1]) ).

cnf(c44,plain,
    ( c_lessequals(v_X,c_union(X285,v_Y,t_a),tc_set(t_a))
    | ~ c_lessequals(v_Z,c_union(X285,v_Y,t_a),tc_set(t_a)) ),
    inference(resolution,status(thm),[c42,cls_conjecture_5]) ).

cnf(c651,plain,
    c_lessequals(v_X,c_union(v_Z,v_Y,t_a),tc_set(t_a)),
    inference(resolution,status(thm),[c44,c51]) ).

cnf(c656,plain,
    ( ~ c_in(X298,v_X,t_a)
    | c_in(X298,c_union(v_Z,v_Y,t_a),t_a) ),
    inference(resolution,status(thm),[c651,cls_Set_OsubsetD_0]) ).

cnf(c672,plain,
    c_in(v_x,c_union(v_Z,v_Y,t_a),t_a),
    inference(resolution,status(thm),[c656,cls_conjecture_2]) ).

cnf(c695,plain,
    ( c_in(v_x,v_Y,t_a)
    | c_in(v_x,v_Z,t_a) ),
    inference(resolution,status(thm),[c672,cls_Set_OUnE_0]) ).

cnf(c707,plain,
    c_in(v_x,v_Z,t_a),
    inference(resolution,status(thm),[c695,cls_conjecture_4]) ).

cnf(c730,plain,
    $false,
    inference(resolution,status(thm),[c707,cls_conjecture_3]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SET834-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36  % Computer : n016.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jul 10 03:50:40 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.60/0.83  # Version:  1.3
% 0.60/0.83  # SZS status Unsatisfiable
% 0.60/0.83  # SZS output start CNFRefutation
% See solution above
% 0.60/0.83  
% 0.60/0.83  # Initial clauses    : 10
% 0.60/0.83  # Processed clauses  : 73
% 0.60/0.83  # Factors computed   : 2
% 0.60/0.83  # Resolvents computed: 729
% 0.60/0.83  # Tautologies deleted: 1
% 0.60/0.83  # Forward subsumed   : 49
% 0.60/0.83  # Backward subsumed  : 1
% 0.60/0.83  # -------- CPU Time ---------
% 0.60/0.83  # User time          : 0.446 s
% 0.60/0.83  # System time        : 0.018 s
% 0.60/0.83  # Total time         : 0.464 s
%------------------------------------------------------------------------------