TSTP Solution File: LAT262-2 by PyRes---1.3

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.3
% Problem  : LAT262-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n017.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 06:29:59 EDT 2022

% Result   : Unsatisfiable 1.20s 1.39s
% Output   : Refutation 1.20s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_1,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,
    ( X6 != X7
    | X7 != X8
    | X6 = X8 ),
    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(c11,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(X16,X17),X17,tc_Product__Type_Ounit) = c_Tarski_Opotype_Opset(X16,X17,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,c11]) ).

cnf(c28,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,
    ( X32 != X37
    | X36 != X33
    | X34 != X35
    | ~ c_lessequals(X32,X36,X34)
    | c_lessequals(X37,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 != X213
    | c_Tarski_Opotype_Opset(v_cl,t_a,tc_Product__Type_Ounit) != X212
    | tc_set(t_a) != X214
    | c_lessequals(X213,X212,X214) ),
    inference(resolution,status(thm),[c3,cls_conjecture_0]) ).

cnf(c1049,plain,
    ( v_S != X215
    | tc_set(t_a) != X216
    | c_lessequals(X215,v_A,X216) ),
    inference(resolution,status(thm),[c55,c5]) ).

cnf(c1052,plain,
    ( v_S != X217
    | c_lessequals(X217,v_A,tc_set(t_a)) ),
    inference(resolution,status(thm),[c1049,reflexivity]) ).

cnf(c1053,plain,
    c_lessequals(v_S,v_A,tc_set(t_a)),
    inference(resolution,status(thm),[c1052,reflexivity]) ).

cnf(c1054,plain,
    ( v_S != X219
    | v_A != X218
    | tc_set(t_a) != X220
    | c_lessequals(X219,X218,X220) ),
    inference(resolution,status(thm),[c1053,c3]) ).

cnf(c1055,plain,
    ( v_S != X222
    | v_A != X221
    | c_lessequals(X222,X221,tc_set(t_a)) ),
    inference(resolution,status(thm),[c1054,reflexivity]) ).

cnf(c1057,plain,
    ( v_S != X409
    | c_lessequals(X409,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),[c1055,c28]) ).

cnf(c3062,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),[c1057,reflexivity]) ).

cnf(c3063,plain,
    $false,
    inference(resolution,status(thm),[c3062,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LAT262-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.12  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33  % Computer : n017.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 06:54:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.20/1.39  # Version:  1.3
% 1.20/1.39  # SZS status Unsatisfiable
% 1.20/1.39  # SZS output start CNFRefutation
% See solution above
% 1.20/1.39  
% 1.20/1.39  # Initial clauses    : 11
% 1.20/1.39  # Processed clauses  : 147
% 1.20/1.39  # Factors computed   : 0
% 1.20/1.39  # Resolvents computed: 3061
% 1.20/1.39  # Tautologies deleted: 1
% 1.20/1.39  # Forward subsumed   : 120
% 1.20/1.39  # Backward subsumed  : 0
% 1.20/1.39  # -------- CPU Time ---------
% 1.20/1.39  # User time          : 1.026 s
% 1.20/1.39  # System time        : 0.022 s
% 1.20/1.39  # Total time         : 1.048 s
%------------------------------------------------------------------------------