TSTP Solution File: SET012-2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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 04:57:17 EDT 2022

% Result   : Unsatisfiable 4.05s 0.89s
% Output   : Proof 4.05s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ equal_sets(a,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_equals_c)]) ).

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

cnf(g2,plain,
    ( ~ subset(a,c)
    | ~ subset(c,a)
    | equal_sets(c,a) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_are_set_equal_sets)]) ).

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

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

cnf(g5,plain,
    ( ~ member(member_of_1_not_of_2(a,c),c)
    | subset(a,c) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_axiom2)]) ).

cnf(g6,plain,
    ( member(member_of_1_not_of_2(a,c),a)
    | subset(a,c) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',subsets_axiom1)]) ).

cnf(g7,plain,
    ( member(member_of_1_not_of_2(c,a),a)
    | member(member_of_1_not_of_2(c,a),complement(a)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_set_or_complement)]) ).

cnf(g8,plain,
    equal_sets(complement(b),c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_b_is_c)]) ).

cnf(g9,plain,
    equal_sets(complement(a),b),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_of_a_is_b)]) ).

cnf(g10,plain,
    ( ~ equal_sets(complement(b),c)
    | equal_sets(c,complement(b)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',symmetry_for_set_equal)]) ).

cnf(g11,plain,
    ( ~ member(member_of_1_not_of_2(a,c),a)
    | ~ member(member_of_1_not_of_2(a,c),complement(a)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',not_member_of_set_and_complement)]) ).

cnf(g12,plain,
    ( ~ equal_sets(complement(b),c)
    | subset(c,complement(b)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',set_equal_sets_are_subsets2)]) ).

cnf(g13,plain,
    ( ~ equal_sets(c,complement(b))
    | subset(complement(b),c) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',set_equal_sets_are_subsets2)]) ).

cnf(g14,plain,
    ( ~ member(member_of_1_not_of_2(c,a),c)
    | ~ subset(c,complement(b))
    | member(member_of_1_not_of_2(c,a),complement(b)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',membership_in_subsets)]) ).

cnf(g15,plain,
    ( ~ member(member_of_1_not_of_2(a,c),complement(b))
    | ~ subset(complement(b),c)
    | member(member_of_1_not_of_2(a,c),c) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',membership_in_subsets)]) ).

cnf(g16,plain,
    ( member(member_of_1_not_of_2(a,c),b)
    | member(member_of_1_not_of_2(a,c),complement(b)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',member_of_set_or_complement)]) ).

cnf(g17,plain,
    ( ~ member(member_of_1_not_of_2(a,c),b)
    | ~ subset(b,complement(a))
    | member(member_of_1_not_of_2(a,c),complement(a)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',membership_in_subsets)]) ).

cnf(g18,plain,
    ( ~ equal_sets(complement(a),b)
    | subset(b,complement(a)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',set_equal_sets_are_subsets2)]) ).

cnf(g19,plain,
    ( ~ member(member_of_1_not_of_2(c,a),b)
    | ~ member(member_of_1_not_of_2(c,a),complement(b)) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',not_member_of_set_and_complement)]) ).

cnf(g20,plain,
    ( ~ member(member_of_1_not_of_2(c,a),complement(a))
    | ~ subset(complement(a),b)
    | member(member_of_1_not_of_2(c,a),b) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',membership_in_subsets)]) ).

cnf(g21,plain,
    ( ~ equal_sets(complement(a),b)
    | subset(complement(a),b) ),
    inference(ground_cnf,[],[file('Axioms/SET002-0.ax',set_equal_sets_are_subsets1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET012-2 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % 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 : Mon Jul 11 06:10:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.05/0.89  % symbols: 14
% 4.05/0.89  % clauses: 24
% 4.05/0.89  % start clauses: 1
% 4.05/0.89  % iterative deepening steps: 865
% 4.05/0.89  % maximum path limit: 7
% 4.05/0.89  % literal attempts: 224747
% 4.05/0.89  % depth failures: 132166
% 4.05/0.89  % regularity failures: 29800
% 4.05/0.89  % tautology failures: 7369
% 4.05/0.89  % reductions: 18369
% 4.05/0.89  % extensions: 206296
% 4.05/0.89  % SAT variables: 34626
% 4.05/0.89  % SAT clauses: 43959
% 4.05/0.89  % WalkSAT solutions: 43416
% 4.05/0.89  % CDCL solutions: 539
% 4.05/0.89  % SZS status Unsatisfiable for theBenchmark
% 4.05/0.89  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------