TSTP Solution File: SET123-6 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET123-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n022.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 04:59:17 EDT 2022

% Result   : Unsatisfiable 5.56s 1.06s
% Output   : Proof 5.56s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    member(x,set_builder(y,z)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_1)]) ).

cnf(g1,plain,
    ~ sPE(x,y),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_2)]) ).

cnf(g2,plain,
    ~ member(x,z),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_set_builder_alternate_defn1_3)]) ).

cnf(g3,plain,
    ( ~ member(x,universal_class)
    | member(x,z)
    | member(x,complement(z)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).

cnf(g4,plain,
    ( ~ subclass(set_builder(y,z),universal_class)
    | ~ member(x,set_builder(y,z))
    | member(x,universal_class) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g5,plain,
    subclass(set_builder(y,z),universal_class),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',class_elements_are_sets)]) ).

cnf(g6,plain,
    ( ~ member(x,unordered_pair(y,y))
    | sPE(x,y)
    | sPE(x,y) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',unordered_pair_member)]) ).

cnf(g7,plain,
    sPE(union(singleton(y),z),set_builder(y,z)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',definition_of_set_builder)]) ).

cnf(g8,plain,
    sPE(unordered_pair(y,y),singleton(y)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',singleton_set)]) ).

cnf(g9,plain,
    ( ~ member(x,universal_class)
    | member(x,singleton(y))
    | member(x,complement(singleton(y))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement2)]) ).

cnf(g10,plain,
    sPE(complement(intersection(complement(singleton(y)),complement(z))),union(singleton(y),z)),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',union)]) ).

cnf(g11,plain,
    ( ~ subclass(singleton(y),unordered_pair(y,y))
    | ~ member(x,singleton(y))
    | member(x,unordered_pair(y,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g12,plain,
    ( ~ sPE(unordered_pair(y,y),singleton(y))
    | subclass(singleton(y),unordered_pair(y,y)) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).

cnf(g13,plain,
    ( ~ subclass(set_builder(y,z),complement(intersection(complement(singleton(y)),complement(z))))
    | ~ member(x,set_builder(y,z))
    | member(x,complement(intersection(complement(singleton(y)),complement(z)))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',subclass_members)]) ).

cnf(g14,plain,
    ( ~ sPE(complement(intersection(complement(singleton(y)),complement(z))),set_builder(y,z))
    | subclass(set_builder(y,z),complement(intersection(complement(singleton(y)),complement(z)))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',equal_implies_subclass2)]) ).

cnf(g15,plain,
    ( ~ sPE(complement(intersection(complement(singleton(y)),complement(z))),union(singleton(y),z))
    | ~ sPE(union(singleton(y),z),set_builder(y,z))
    | sPE(complement(intersection(complement(singleton(y)),complement(z))),set_builder(y,z)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ member(x,intersection(complement(singleton(y)),complement(z)))
    | ~ member(x,complement(intersection(complement(singleton(y)),complement(z)))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',complement1)]) ).

cnf(g17,plain,
    ( ~ member(x,complement(singleton(y)))
    | ~ member(x,complement(z))
    | member(x,intersection(complement(singleton(y)),complement(z))) ),
    inference(ground_cnf,[],[file('Axioms/SET004-0.ax',intersection3)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET123-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n022.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 : Sun Jul 10 18:47:25 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 5.56/1.06  % symbols: 53
% 5.56/1.06  % clauses: 138
% 5.56/1.06  % start clauses: 3
% 5.56/1.06  % iterative deepening steps: 1059
% 5.56/1.06  % maximum path limit: 4
% 5.56/1.06  % literal attempts: 1485315
% 5.56/1.06  % depth failures: 1141224
% 5.56/1.06  % regularity failures: 70726
% 5.56/1.06  % tautology failures: 27747
% 5.56/1.06  % reductions: 102741
% 5.56/1.06  % extensions: 1381411
% 5.56/1.06  % SAT variables: 206984
% 5.56/1.06  % SAT clauses: 228570
% 5.56/1.06  % WalkSAT solutions: 228562
% 5.56/1.06  % CDCL solutions: 7
% 5.56/1.06  % SZS status Unsatisfiable for theBenchmark
% 5.56/1.06  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------