TSTP Solution File: SET090+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 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 04:58:48 EDT 2022

% Result   : Theorem 17.47s 2.63s
% Output   : Proof 17.47s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    member(sK8,universal_class),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton)]) ).

cnf(g1,plain,
    sPE(sK7,singleton(sK8)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_of_singleton)]) ).

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

cnf(g3,plain,
    ( ~ sPE(sK8,sK8)
    | ~ member(sK8,universal_class)
    | member(sK8,unordered_pair(sK8,sK8)) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).

cnf(g4,plain,
    ( ~ member(sK8,universal_class)
    | ~ member(sK8,universal_class)
    | sPE(first(ordered_pair(sK8,sK8)),sK8) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',first_second)]) ).

cnf(g5,plain,
    ( ~ member(sK8,universal_class)
    | sPE(singleton(member_of(singleton(sK8))),singleton(sK8)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',member_singleton_singleton)]) ).

cnf(g6,plain,
    ( ~ sPE(sK7,singleton(sK8))
    | sPE(singleton(sK8),sK7) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(sK7,singleton(sK8))
    | subclass(singleton(sK8),sK7) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',extensionality)]) ).

cnf(g8,plain,
    ( ~ sPE(sK7,singleton(sK8))
    | sPE(member_of(sK7),member_of(singleton(sK8))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g9,plain,
    ( ~ sPE(first(ordered_pair(sK8,sK8)),sK8)
    | sPE(sK8,first(ordered_pair(sK8,sK8))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ sPE(sK8,first(ordered_pair(sK8,sK8)))
    | ~ sPE(first(ordered_pair(sK8,sK8)),sK8)
    | sPE(sK8,sK8) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g11,plain,
    ( ~ sPE(sK8,sK8)
    | ~ sPE(singleton(sK8),sK7)
    | ~ member(sK8,singleton(sK8))
    | member(sK8,sK7) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(member_of(sK7),member_of(singleton(sK8)))
    | ~ sPE(member_of(singleton(sK8)),sK8)
    | sPE(member_of(sK7),sK8) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    sPE(singleton(sK8),unordered_pair(sK8,sK8)),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',singleton_set_defn)]) ).

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

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

cnf(g16,plain,
    ( ~ sPE(sK8,member_of(singleton(sK8)))
    | sPE(member_of(singleton(sK8)),sK8) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ member(sK8,unordered_pair(member_of(singleton(sK8)),member_of(singleton(sK8))))
    | sPE(sK8,member_of(singleton(sK8)))
    | sPE(sK8,member_of(singleton(sK8))) ),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',unordered_pair_defn)]) ).

cnf(g18,plain,
    ( ~ sPE(singleton(member_of(singleton(sK8))),singleton(sK8))
    | ~ sPE(singleton(sK8),sK7)
    | sPE(singleton(member_of(singleton(sK8))),sK7) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(singleton(member_of(singleton(sK8))),sK7)
    | sPE(sK7,singleton(member_of(singleton(sK8)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(sK7,singleton(member_of(singleton(sK8))))
    | ~ sPE(singleton(member_of(singleton(sK8))),unordered_pair(member_of(singleton(sK8)),member_of(singleton(sK8))))
    | sPE(sK7,unordered_pair(member_of(singleton(sK8)),member_of(singleton(sK8)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    sPE(singleton(member_of(singleton(sK8))),unordered_pair(member_of(singleton(sK8)),member_of(singleton(sK8)))),
    inference(ground_cnf,[],[file('Axioms/SET005+0.ax',singleton_set_defn)]) ).

cnf(g22,plain,
    ( ~ sPE(sK8,sK8)
    | ~ sPE(sK7,unordered_pair(member_of(singleton(sK8)),member_of(singleton(sK8))))
    | ~ member(sK8,sK7)
    | member(sK8,unordered_pair(member_of(singleton(sK8)),member_of(singleton(sK8)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SET090+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.04/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 22:03:25 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 17.47/2.63  % symbols: 43
% 17.47/2.63  % clauses: 131
% 17.47/2.63  % start clauses: 3
% 17.47/2.63  % iterative deepening steps: 2130
% 17.47/2.63  % maximum path limit: 3
% 17.47/2.63  % literal attempts: 4999670
% 17.47/2.63  % depth failures: 4476923
% 17.47/2.63  % regularity failures: 102351
% 17.47/2.63  % tautology failures: 38997
% 17.47/2.63  % reductions: 165314
% 17.47/2.63  % extensions: 4832464
% 17.47/2.63  % SAT variables: 939664
% 17.47/2.63  % SAT clauses: 891215
% 17.47/2.63  % WalkSAT solutions: 891205
% 17.47/2.63  % CDCL solutions: 9
% 17.47/2.63  % SZS status Theorem for theBenchmark
% 17.47/2.63  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------