TSTP Solution File: CAT009-4 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT009-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n018.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 00:06:56 EDT 2022

% Result   : Unsatisfiable 11.63s 1.79s
% Output   : Proof 11.63s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    ( ~ sPE(domain(b),domain(compose(a,b)))
    | sPE(domain(compose(a,b)),domain(b)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sPE(compose(b,domain(b)),b),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',compose_domain)]) ).

cnf(g3,plain,
    ( ~ there_exists(codomain(b))
    | there_exists(b) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',codomain_has_elements)]) ).

cnf(g4,plain,
    there_exists(compose(a,b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists)]) ).

cnf(g5,plain,
    sPE(a,a),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( ~ there_exists(compose(a,b))
    | sPE(domain(a),codomain(b)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_codomain_composition1)]) ).

cnf(g7,plain,
    ( ~ there_exists(compose(compose(a,b),domain(b)))
    | sPE(domain(compose(a,b)),codomain(domain(b))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_codomain_composition1)]) ).

cnf(g8,plain,
    ( ~ there_exists(compose(a,b))
    | there_exists(domain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',composition_implies_domain)]) ).

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

cnf(g10,plain,
    ( ~ there_exists(compose(b,domain(b)))
    | sPE(domain(b),codomain(domain(b))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_codomain_composition1)]) ).

cnf(g11,plain,
    ( ~ sPE(domain(a),domain(a))
    | ~ there_exists(domain(a))
    | equivalent(domain(a),domain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',existence_and_equality_implies_equivalence1)]) ).

cnf(g12,plain,
    sPE(domain(a),domain(a)),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g14,plain,
    ( ~ sPE(a,a)
    | ~ sPE(b,compose(b,domain(b)))
    | sPE(compose(a,b),compose(a,compose(b,domain(b)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    sPE(compose(a,compose(b,domain(b))),compose(compose(a,b),domain(b))),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',associativity_of_compose)]) ).

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

cnf(g17,plain,
    ( ~ sPE(compose(a,b),compose(compose(a,b),domain(b)))
    | ~ there_exists(compose(a,b))
    | there_exists(compose(compose(a,b),domain(b))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ sPE(b,compose(b,domain(b)))
    | ~ there_exists(b)
    | there_exists(compose(b,domain(b))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g20,plain,
    ( ~ equivalent(codomain(b),codomain(b))
    | there_exists(codomain(b)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',equivalence_implies_existence1)]) ).

cnf(g21,plain,
    ( ~ sPE(compose(b,domain(b)),b)
    | sPE(b,compose(b,domain(b))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT009-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13  % Command  : satcop --statistics %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun May 29 19:32:26 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 11.63/1.79  % symbols: 9
% 11.63/1.79  % clauses: 21
% 11.63/1.79  % start clauses: 1
% 11.63/1.79  % iterative deepening steps: 1449
% 11.63/1.79  % maximum path limit: 8
% 11.63/1.79  % literal attempts: 882101
% 11.63/1.79  % depth failures: 483284
% 11.63/1.79  % regularity failures: 76312
% 11.63/1.79  % tautology failures: 31076
% 11.63/1.79  % reductions: 0
% 11.63/1.79  % extensions: 881657
% 11.63/1.79  % SAT variables: 234285
% 11.63/1.79  % SAT clauses: 350549
% 11.63/1.79  % WalkSAT solutions: 350546
% 11.63/1.79  % CDCL solutions: 0
% 11.63/1.79  % SZS status Unsatisfiable for theBenchmark
% 11.63/1.79  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------