TSTP Solution File: LAT266-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LAT266-2 : 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 : Sun Jul 17 06:30:01 EDT 2022

% Result   : Unsatisfiable 1.16s 1.33s
% Output   : Refutation 1.16s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_2,negated_conjecture,
    ~ c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
    input ).

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

cnf(symmetry,axiom,
    ( X3 != X4
    | X4 = X3 ),
    eq_axiom ).

cnf(transitivity,axiom,
    ( X7 != X8
    | X8 != X6
    | X7 = X6 ),
    eq_axiom ).

cnf(cls_Tarski_OA_A_61_61_Apset_Acl_0,axiom,
    v_A = c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),
    input ).

cnf(c5,plain,
    c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) = v_A,
    inference(resolution,status(thm),[cls_Tarski_OA_A_61_61_Apset_Acl_0,symmetry]) ).

cnf(c10,plain,
    ( X15 != c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit)
    | X15 = v_A ),
    inference(resolution,status(thm),[c5,transitivity]) ).

cnf(cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,axiom,
    c_Tarski_Opotype_Opset(c_Tarski_Odual(X17,X16),X16,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X17,X16,tc_Product__Type_Ounit),
    input ).

cnf(c21,plain,
    c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit) = v_A,
    inference(resolution,status(thm),[cls_Tarski_Opset_A_Idual_Acl_J_A_61_61_Apset_Acl_0,c10]) ).

cnf(c29,plain,
    v_A = c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),
    inference(resolution,status(thm),[c21,symmetry]) ).

cnf(c3,plain,
    ( X34 != X32
    | X37 != X33
    | X36 != X35
    | ~ c_lessequals(X34,X37,X36)
    | c_lessequals(X32,X33,X35) ),
    eq_axiom ).

cnf(cls_conjecture_0,negated_conjecture,
    c_lessequals(v_S,c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit),tc_set(t_a)),
    input ).

cnf(c55,plain,
    ( v_S != X202
    | c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != X201
    | tc_set(t_a) != X200
    | c_lessequals(X202,X201,X200) ),
    inference(resolution,status(thm),[c3,cls_conjecture_0]) ).

cnf(c970,plain,
    ( v_S != X204
    | tc_set(t_a) != X203
    | c_lessequals(X204,v_A,X203) ),
    inference(resolution,status(thm),[c55,c5]) ).

cnf(c971,plain,
    ( v_S != X205
    | c_lessequals(X205,v_A,tc_set(t_a)) ),
    inference(resolution,status(thm),[c970,reflexivity]) ).

cnf(c972,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(resolution,status(thm),[c971,reflexivity]) ).

cnf(c973,plain,
    ( v_S != X209
    | v_A != X208
    | tc_set(t_a) != X207
    | c_lessequals(X209,X208,X207) ),
    inference(resolution,status(thm),[c972,c3]) ).

cnf(c974,plain,
    ( v_S != X214
    | v_A != X213
    | c_lessequals(X214,X213,tc_set(t_a)) ),
    inference(resolution,status(thm),[c973,reflexivity]) ).

cnf(c1002,plain,
    ( v_S != X410
    | c_lessequals(X410,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)) ),
    inference(resolution,status(thm),[c974,c29]) ).

cnf(c3104,plain,
    c_lessequals(v_S,c_Tarski_Opotype_Opset(c_Tarski_Odual(v_cl,t_a),t_a,tc_Product__Type_Ounit),tc_set(t_a)),
    inference(resolution,status(thm),[c1002,reflexivity]) ).

cnf(c3106,plain,
    $false,
    inference(resolution,status(thm),[c3104,cls_conjecture_2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : LAT266-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n020.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 : Thu Jun 30 05:46:45 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.16/1.33  # Version:  1.3
% 1.16/1.33  # SZS status Unsatisfiable
% 1.16/1.33  # SZS output start CNFRefutation
% See solution above
% 1.16/1.33  
% 1.16/1.33  # Initial clauses    : 11
% 1.16/1.33  # Processed clauses  : 148
% 1.16/1.33  # Factors computed   : 0
% 1.16/1.33  # Resolvents computed: 3103
% 1.16/1.33  # Tautologies deleted: 1
% 1.16/1.33  # Forward subsumed   : 118
% 1.16/1.33  # Backward subsumed  : 0
% 1.16/1.33  # -------- CPU Time ---------
% 1.16/1.33  # User time          : 0.971 s
% 1.16/1.33  # System time        : 0.023 s
% 1.16/1.33  # Total time         : 0.994 s
%------------------------------------------------------------------------------