TSTP Solution File: CAT013-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n032.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 00:06:57 EDT 2022

% Result   : Unsatisfiable 0.16s 0.32s
% Output   : Proof 0.16s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    ( ~ product(codomain(a),domain(codomain(a)),domain(codomain(a)))
    | ~ product(codomain(a),domain(codomain(a)),codomain(a))
    | sPE(domain(codomain(a)),codomain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',composition_is_well_defined)]) ).

cnf(g2,plain,
    ( ~ defined(codomain(a),domain(codomain(a)))
    | ~ identity_map(codomain(a))
    | product(codomain(a),domain(codomain(a)),domain(codomain(a))) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',identity1)]) ).

cnf(g3,plain,
    defined(codomain(a),domain(codomain(a))),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',mapping_from_x_to_its_domain)]) ).

cnf(g4,plain,
    identity_map(codomain(a)),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',codomain_is_an_identity_map)]) ).

cnf(g5,plain,
    ( ~ defined(codomain(a),domain(codomain(a)))
    | ~ identity_map(domain(codomain(a)))
    | product(codomain(a),domain(codomain(a)),codomain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',identity2)]) ).

cnf(g6,plain,
    identity_map(domain(codomain(a))),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',domain_is_an_identity_map)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem  : CAT013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.11  % Command  : satcop --statistics %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sun May 29 21:57:56 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.32  % symbols: 9
% 0.16/0.32  % clauses: 28
% 0.16/0.32  % start clauses: 1
% 0.16/0.32  % iterative deepening steps: 64
% 0.16/0.32  % maximum path limit: 3
% 0.16/0.32  % literal attempts: 1476
% 0.16/0.32  % depth failures: 961
% 0.16/0.32  % regularity failures: 60
% 0.16/0.32  % tautology failures: 128
% 0.16/0.32  % reductions: 0
% 0.16/0.32  % extensions: 1428
% 0.16/0.32  % SAT variables: 560
% 0.16/0.32  % SAT clauses: 820
% 0.16/0.32  % WalkSAT solutions: 814
% 0.16/0.32  % CDCL solutions: 0
% 0.16/0.32  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.32  % SZS output start ListOfCNF for theBenchmark
% See solution above
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