TSTP Solution File: SET075-6 by PyRes---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : PyRes---1.5
% Problem  : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s

% Computer : n015.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  : 300s
% DateTime : Thu May  9 17:39:06 EDT 2024

% Result   : Unsatisfiable 2.70s 2.89s
% Output   : Refutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   26 (  13 unt;   3 nHn;  21 RR)
%            Number of literals    :   41 (   8 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :   26 (   6 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(class_elements_are_sets,axiom,
    subclass(X3,universal_class),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).

cnf(subclass_members,axiom,
    ( ~ subclass(X6,X4)
    | ~ member(X5,X6)
    | member(X5,X4) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).

cnf(cartesian_product2,axiom,
    ( ~ member(ordered_pair(X86,X87),cross_product(X85,X84))
    | member(X87,X84) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',cartesian_product2) ).

cnf(prove_corollary_to_unordered_pair_axiom3_1,negated_conjecture,
    member(ordered_pair(x,y),cross_product(u,v)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_1) ).

cnf(c1653,plain,
    member(y,v),
    inference(resolution,[status(thm)],[prove_corollary_to_unordered_pair_axiom3_1,cartesian_product2]) ).

cnf(c1662,plain,
    ( ~ subclass(v,X390)
    | member(y,X390) ),
    inference(resolution,[status(thm)],[c1653,subclass_members]) ).

cnf(c1821,plain,
    member(y,universal_class),
    inference(resolution,[status(thm)],[c1662,class_elements_are_sets]) ).

cnf(complement1,axiom,
    ( ~ member(X55,complement(X54))
    | ~ member(X55,X54) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',complement1) ).

cnf(equal_implies_subclass1,axiom,
    ( X10 != X9
    | subclass(X10,X9) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).

cnf(prove_corollary_to_unordered_pair_axiom3_2,negated_conjecture,
    unordered_pair(x,y) = null_class,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_to_unordered_pair_axiom3_2) ).

cnf(c80,plain,
    subclass(unordered_pair(x,y),null_class),
    inference(resolution,[status(thm)],[prove_corollary_to_unordered_pair_axiom3_2,equal_implies_subclass1]) ).

cnf(unordered_pair3,axiom,
    ( ~ member(X56,universal_class)
    | member(X56,unordered_pair(X57,X56)) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).

cnf(c1831,plain,
    member(y,unordered_pair(X396,y)),
    inference(resolution,[status(thm)],[c1821,unordered_pair3]) ).

cnf(c1897,plain,
    ( ~ subclass(unordered_pair(X615,y),X616)
    | member(y,X616) ),
    inference(resolution,[status(thm)],[c1831,subclass_members]) ).

cnf(c4836,plain,
    member(y,null_class),
    inference(resolution,[status(thm)],[c1897,c80]) ).

cnf(c4841,plain,
    ( ~ subclass(null_class,X622)
    | member(y,X622) ),
    inference(resolution,[status(thm)],[c4836,subclass_members]) ).

cnf(equal_implies_subclass2,axiom,
    ( X13 != X12
    | subclass(X12,X13) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',equal_implies_subclass2) ).

cnf(regularity1,axiom,
    ( X122 = null_class
    | member(regular(X122),X122) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity1) ).

cnf(c194,plain,
    ( complement(X791) = null_class
    | ~ member(regular(complement(X791)),X791) ),
    inference(resolution,[status(thm)],[regularity1,complement1]) ).

cnf(c198,plain,
    ( X811 = null_class
    | ~ subclass(X811,X812)
    | member(regular(X811),X812) ),
    inference(resolution,[status(thm)],[regularity1,subclass_members]) ).

cnf(c7360,plain,
    ( X815 = null_class
    | member(regular(X815),universal_class) ),
    inference(resolution,[status(thm)],[c198,class_elements_are_sets]) ).

cnf(c7446,plain,
    complement(universal_class) = null_class,
    inference(resolution,[status(thm)],[c7360,c194]) ).

cnf(c7458,plain,
    subclass(null_class,complement(universal_class)),
    inference(resolution,[status(thm)],[c7446,equal_implies_subclass2]) ).

cnf(c7553,plain,
    member(y,complement(universal_class)),
    inference(resolution,[status(thm)],[c7458,c4841]) ).

cnf(c7610,plain,
    ~ member(y,universal_class),
    inference(resolution,[status(thm)],[c7553,complement1]) ).

cnf(c7616,plain,
    $false,
    inference(resolution,[status(thm)],[c7610,c1821]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SET075-6 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14  % Command  : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed May  8 19:02:08 EDT 2024
% 0.13/0.36  % CPUTime  : 
% 2.70/2.89  % Version:  1.5
% 2.70/2.89  % SZS status Unsatisfiable
% 2.70/2.89  % SZS output start CNFRefutation
% See solution above
% 2.70/2.89  
% 2.70/2.89  % Initial clauses    : 135
% 2.70/2.89  % Processed clauses  : 527
% 2.70/2.89  % Factors computed   : 30
% 2.70/2.89  % Resolvents computed: 7676
% 2.70/2.89  % Tautologies deleted: 11
% 2.70/2.89  % Forward subsumed   : 278
% 2.70/2.89  % Backward subsumed  : 1
% 2.70/2.89  % -------- CPU Time ---------
% 2.70/2.89  % User time          : 2.503 s
% 2.70/2.89  % System time        : 0.028 s
% 2.70/2.89  % Total time         : 2.531 s
%------------------------------------------------------------------------------