TSTP Solution File: SET013-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET013-1 : 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 04:57:18 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ equal_sets(intersection(as,bs),intersection(bs,as)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_commutativity)]) ).

cnf(g1,plain,
    ( ~ equal_sets(intersection(bs,as),intersection(as,bs))
    | equal_sets(intersection(as,bs),intersection(bs,as)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',symmetry_for_set_equal)]) ).

cnf(g2,plain,
    ( member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
    | subset(intersection(as,bs),intersection(bs,as)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_axiom1)]) ).

cnf(g3,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs))
    | subset(intersection(bs,as),intersection(as,bs)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_axiom2)]) ).

cnf(g4,plain,
    ( member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
    | subset(intersection(bs,as),intersection(as,bs)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_axiom1)]) ).

cnf(g5,plain,
    ( ~ subset(intersection(as,bs),intersection(bs,as))
    | ~ subset(intersection(bs,as),intersection(as,bs))
    | equal_sets(intersection(bs,as),intersection(as,bs)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_are_set_equal_sets)]) ).

cnf(g6,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
    | member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_intersection_is_member_of_set2)]) ).

cnf(g7,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(bs,as))
    | member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_intersection_is_member_of_set1)]) ).

cnf(g8,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
    | member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_intersection_is_member_of_set2)]) ).

cnf(g9,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(as,bs))
    | member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_intersection_is_member_of_set1)]) ).

cnf(g10,plain,
    ( ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),as)
    | ~ member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),bs)
    | member(member_of_1_not_of_2(intersection(bs,as),intersection(as,bs)),intersection(as,bs)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_both_is_member_of_intersection)]) ).

cnf(g11,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as))
    | subset(intersection(as,bs),intersection(bs,as)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_axiom2)]) ).

cnf(g12,plain,
    ( ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),bs)
    | ~ member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),as)
    | member(member_of_1_not_of_2(intersection(as,bs),intersection(bs,as)),intersection(bs,as)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_both_is_member_of_intersection)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET013-1 : 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 09:36:55 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % symbols: 13
% 0.12/0.34  % clauses: 22
% 0.12/0.34  % start clauses: 1
% 0.12/0.34  % iterative deepening steps: 49
% 0.12/0.34  % maximum path limit: 3
% 0.12/0.34  % literal attempts: 821
% 0.12/0.34  % depth failures: 464
% 0.12/0.34  % regularity failures: 112
% 0.12/0.34  % tautology failures: 41
% 0.12/0.34  % reductions: 16
% 0.12/0.34  % extensions: 765
% 0.12/0.34  % SAT variables: 278
% 0.12/0.34  % SAT clauses: 375
% 0.12/0.34  % WalkSAT solutions: 369
% 0.12/0.34  % CDCL solutions: 0
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.34  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------