TSTP Solution File: SET083+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET083+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n008.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 04:58:41 EDT 2022

% Result   : Theorem 7.83s 1.50s
% Output   : Proof 7.83s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    sPE(singleton(sK7),singleton(sK8)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_identified_by_element1)]) ).

cnf(g1,plain,
    member(sK7,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_identified_by_element1)]) ).

cnf(g2,plain,
    ~ sPE(sK7,sK8),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_identified_by_element1)]) ).

cnf(g3,plain,
    ( ~ sPE(singleton(sK7),singleton(sK8))
    | sPE(complement(singleton(sK7)),complement(singleton(sK8))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    ( ~ member(sK7,universal_class)
    | ~ member(sK7,universal_class)
    | sPE(second(ordered_pair(sK7,sK7)),sK7) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',first_second)]) ).

cnf(g5,plain,
    ( ~ sPE(complement(singleton(sK7)),complement(singleton(sK8)))
    | subclass(complement(singleton(sK8)),complement(singleton(sK7))) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',extensionality)]) ).

cnf(g6,plain,
    ( ~ sPE(second(ordered_pair(sK7,sK7)),sK7)
    | sPE(sK7,second(ordered_pair(sK7,sK7))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(sK7,second(ordered_pair(sK7,sK7)))
    | ~ sPE(second(ordered_pair(sK7,sK7)),sK7)
    | sPE(sK7,sK7) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ sPE(second(ordered_pair(sK7,sK7)),sK7)
    | ~ sPE(sK7,sK7)
    | sPE(unordered_pair(second(ordered_pair(sK7,sK7)),sK7),unordered_pair(sK7,sK7)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ member(sK7,unordered_pair(sK7,sK7))
    | ~ member(sK7,complement(unordered_pair(sK7,sK7))) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',complement)]) ).

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

cnf(g11,plain,
    sPE(singleton(sK8),unordered_pair(sK8,sK8)),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',singleton_set_defn)]) ).

cnf(g12,plain,
    ( ~ sPE(sK7,second(ordered_pair(sK7,sK7)))
    | ~ member(sK7,universal_class)
    | member(sK7,unordered_pair(second(ordered_pair(sK7,sK7)),sK7)) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).

cnf(g13,plain,
    ( ~ sPE(sK7,sK7)
    | ~ sPE(unordered_pair(second(ordered_pair(sK7,sK7)),sK7),unordered_pair(sK7,sK7))
    | ~ member(sK7,unordered_pair(second(ordered_pair(sK7,sK7)),sK7))
    | member(sK7,unordered_pair(sK7,sK7)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(sK7,sK7)
    | ~ sPE(singleton(sK8),unordered_pair(sK8,sK8))
    | ~ member(sK7,singleton(sK8))
    | member(sK7,unordered_pair(sK8,sK8)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ member(sK7,universal_class)
    | member(sK7,singleton(sK8))
    | member(sK7,complement(singleton(sK8))) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',complement)]) ).

cnf(g16,plain,
    ( ~ subclass(complement(singleton(sK8)),complement(singleton(sK7)))
    | ~ member(sK7,complement(singleton(sK8)))
    | member(sK7,complement(singleton(sK7))) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',subclass_defn)]) ).

cnf(g17,plain,
    sPE(singleton(sK7),unordered_pair(sK7,sK7)),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',singleton_set_defn)]) ).

cnf(g18,plain,
    ( ~ sPE(singleton(sK7),unordered_pair(sK7,sK7))
    | sPE(complement(singleton(sK7)),complement(unordered_pair(sK7,sK7))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(sK7,sK7)
    | ~ sPE(complement(singleton(sK7)),complement(unordered_pair(sK7,sK7)))
    | ~ member(sK7,complement(singleton(sK7)))
    | member(sK7,complement(unordered_pair(sK7,sK7))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SET083+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n008.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jul  9 19:54:08 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 7.83/1.50  % symbols: 42
% 7.83/1.50  % clauses: 126
% 7.83/1.50  % start clauses: 3
% 7.83/1.50  % iterative deepening steps: 969
% 7.83/1.50  % maximum path limit: 3
% 7.83/1.50  % literal attempts: 1847011
% 7.83/1.50  % depth failures: 1657487
% 7.83/1.50  % regularity failures: 37392
% 7.83/1.50  % tautology failures: 15662
% 7.83/1.50  % reductions: 60423
% 7.83/1.50  % extensions: 1785618
% 7.83/1.50  % SAT variables: 587312
% 7.83/1.50  % SAT clauses: 545266
% 7.83/1.50  % WalkSAT solutions: 545257
% 7.83/1.50  % CDCL solutions: 3
% 7.83/1.50  % SZS status Theorem for theBenchmark
% 7.83/1.50  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------