TSTP Solution File: SET101+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET101+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %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 04:58:59 EDT 2022

% Result   : Theorem 0.21s 0.44s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ member(singleton(sK7),ordered_pair(sK7,sK8)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_member_of_ordered_pair)]) ).

cnf(g1,plain,
    member(unordered_pair(sK7,sK7),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair)]) ).

cnf(g2,plain,
    ( ~ sPE(singleton(sK7),unordered_pair(sK7,sK7))
    | sPE(unordered_pair(sK7,sK7),singleton(sK7)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    sPE(singleton(sK7),singleton(sK7)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    sPE(universal_class,universal_class),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    sPE(ordered_pair(sK7,sK8),unordered_pair(singleton(sK7),unordered_pair(sK7,singleton(sK8)))),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',ordered_pair_defn)]) ).

cnf(g6,plain,
    sPE(singleton(sK7),unordered_pair(sK7,sK7)),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',singleton_set_defn)]) ).

cnf(g7,plain,
    ( ~ sPE(unordered_pair(sK7,sK7),singleton(sK7))
    | ~ sPE(universal_class,universal_class)
    | ~ member(unordered_pair(sK7,sK7),universal_class)
    | member(singleton(sK7),universal_class) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ subclass(unordered_pair(singleton(sK7),unordered_pair(sK7,singleton(sK8))),ordered_pair(sK7,sK8))
    | ~ member(singleton(sK7),unordered_pair(singleton(sK7),unordered_pair(sK7,singleton(sK8))))
    | member(singleton(sK7),ordered_pair(sK7,sK8)) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).

cnf(g9,plain,
    ( ~ sPE(ordered_pair(sK7,sK8),unordered_pair(singleton(sK7),unordered_pair(sK7,singleton(sK8))))
    | subclass(unordered_pair(singleton(sK7),unordered_pair(sK7,singleton(sK8))),ordered_pair(sK7,sK8)) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',extensionality)]) ).

cnf(g10,plain,
    ( ~ sPE(singleton(sK7),singleton(sK7))
    | ~ member(singleton(sK7),universal_class)
    | member(singleton(sK7),unordered_pair(singleton(sK7),unordered_pair(sK7,singleton(sK8)))) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET101+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.14  % Command  : satcop --statistics %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 : Mon Jul 11 07:33:27 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.44  % symbols: 42
% 0.21/0.44  % clauses: 124
% 0.21/0.44  % start clauses: 1
% 0.21/0.44  % iterative deepening steps: 109
% 0.21/0.44  % maximum path limit: 3
% 0.21/0.44  % literal attempts: 62033
% 0.21/0.44  % depth failures: 54612
% 0.21/0.44  % regularity failures: 2309
% 0.21/0.44  % tautology failures: 812
% 0.21/0.44  % reductions: 305
% 0.21/0.44  % extensions: 61646
% 0.21/0.44  % SAT variables: 20381
% 0.21/0.44  % SAT clauses: 22464
% 0.21/0.44  % WalkSAT solutions: 22460
% 0.21/0.44  % CDCL solutions: 0
% 0.21/0.44  % SZS status Theorem for theBenchmark
% 0.21/0.44  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------