TSTP Solution File: CAT005-4 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n028.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 : Fri Jul 15 00:06:55 EDT 2022

% Result   : Unsatisfiable 0.18s 0.53s
% Output   : Proof 0.18s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(domain(a),d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d)]) ).

cnf(g1,plain,
    ( ~ equivalent(domain(a),d)
    | sPE(domain(a),d) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',equivalence_implies_existence2)]) ).

cnf(g2,plain,
    sPE(compose(codomain(d),d),d),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',compose_codomain)]) ).

cnf(g3,plain,
    sPE(domain(a),domain(a)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    ( ~ there_exists(compose(a,d))
    | sPE(domain(a),codomain(d)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_codomain_composition1)]) ).

cnf(g5,plain,
    there_exists(compose(a,d)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists)]) ).

cnf(g6,plain,
    ( ~ there_exists(compose(a,d))
    | there_exists(domain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',composition_implies_domain)]) ).

cnf(g7,plain,
    ( ~ sPE(domain(a),domain(a))
    | ~ sPE(compose(codomain(d),d),d)
    | ~ equivalent(domain(a),compose(codomain(d),d))
    | equivalent(domain(a),d) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    ( ~ there_exists(compose(codomain(d),d))
    | sPE(compose(codomain(d),d),codomain(d)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x)]) ).

cnf(g9,plain,
    ( ~ sPE(compose(codomain(d),d),codomain(d))
    | ~ sPE(codomain(d),domain(a))
    | sPE(compose(codomain(d),d),domain(a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    sPE(compose(codomain(compose(codomain(d),d)),compose(codomain(d),d)),compose(codomain(d),d)),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',compose_codomain)]) ).

cnf(g11,plain,
    ( ~ sPE(domain(a),domain(a))
    | ~ sPE(compose(codomain(compose(codomain(d),d)),compose(codomain(d),d)),compose(codomain(d),d))
    | ~ equivalent(domain(a),compose(codomain(compose(codomain(d),d)),compose(codomain(d),d)))
    | equivalent(domain(a),compose(codomain(d),d)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(domain(a),compose(codomain(compose(codomain(d),d)),compose(codomain(d),d)))
    | ~ there_exists(domain(a))
    | equivalent(domain(a),compose(codomain(compose(codomain(d),d)),compose(codomain(d),d))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',existence_and_equality_implies_equivalence1)]) ).

cnf(g13,plain,
    ( ~ sPE(compose(codomain(compose(codomain(d),d)),compose(codomain(d),d)),domain(a))
    | sPE(domain(a),compose(codomain(compose(codomain(d),d)),compose(codomain(d),d))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ there_exists(codomain(compose(codomain(d),d)))
    | there_exists(compose(codomain(d),d)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',codomain_has_elements)]) ).

cnf(g15,plain,
    ( ~ sPE(domain(a),codomain(d))
    | sPE(codomain(d),domain(a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(compose(codomain(compose(codomain(d),d)),compose(codomain(d),d)),compose(codomain(d),d))
    | ~ sPE(compose(codomain(d),d),domain(a))
    | sPE(compose(codomain(compose(codomain(d),d)),compose(codomain(d),d)),domain(a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(compose(codomain(d),d),d)
    | sPE(codomain(compose(codomain(d),d)),codomain(d)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(codomain(compose(codomain(d),d)),codomain(d))
    | sPE(codomain(d),codomain(compose(codomain(d),d))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g19,plain,
    ( ~ sPE(domain(a),codomain(d))
    | ~ sPE(codomain(d),codomain(compose(codomain(d),d)))
    | sPE(domain(a),codomain(compose(codomain(d),d))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g20,plain,
    ( ~ sPE(domain(a),codomain(compose(codomain(d),d)))
    | ~ there_exists(domain(a))
    | there_exists(codomain(compose(codomain(d),d))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : CAT005-4 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 17:59:19 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.18/0.53  % symbols: 9
% 0.18/0.53  % clauses: 23
% 0.18/0.53  % start clauses: 1
% 0.18/0.53  % iterative deepening steps: 1011
% 0.18/0.53  % maximum path limit: 5
% 0.18/0.53  % literal attempts: 216887
% 0.18/0.53  % depth failures: 120043
% 0.18/0.53  % regularity failures: 19180
% 0.18/0.53  % tautology failures: 7804
% 0.18/0.53  % reductions: 0
% 0.18/0.53  % extensions: 215932
% 0.18/0.53  % SAT variables: 35511
% 0.18/0.53  % SAT clauses: 55139
% 0.18/0.53  % WalkSAT solutions: 55137
% 0.18/0.53  % CDCL solutions: 0
% 0.18/0.53  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.53  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------