TSTP Solution File: CAT011-4 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n027.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 89.52s 11.73s
% Output   : Proof 89.52s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

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

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

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

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

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

cnf(g6,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(g7,plain,
    ( ~ there_exists(compose(a,domain(a)))
    | sPE(domain(a),codomain(domain(a))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_codomain_composition1)]) ).

cnf(g8,plain,
    ( ~ there_exists(compose(domain(a),domain(a)))
    | sPE(domain(domain(a)),codomain(domain(a))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_codomain_composition1)]) ).

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

cnf(g10,plain,
    ( ~ sPE(domain(a),codomain(domain(a)))
    | ~ sPE(domain(a),domain(a))
    | sPE(compose(domain(a),domain(a)),compose(codomain(domain(a)),domain(a))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

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

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

cnf(g15,plain,
    ( ~ there_exists(domain(compose(a,domain(a))))
    | there_exists(compose(a,domain(a))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_has_elements)]) ).

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

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

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

cnf(g19,plain,
    ( ~ equivalent(compose(domain(a),domain(a)),domain(a))
    | there_exists(compose(domain(a),domain(a))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',equivalence_implies_existence1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : CAT011-4 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n027.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 May 29 17:27:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 89.52/11.73  % symbols: 8
% 89.52/11.73  % clauses: 21
% 89.52/11.73  % start clauses: 1
% 89.52/11.73  % iterative deepening steps: 1225
% 89.52/11.73  % maximum path limit: 9
% 89.52/11.73  % literal attempts: 1939956
% 89.52/11.73  % depth failures: 1093267
% 89.52/11.73  % regularity failures: 155353
% 89.52/11.73  % tautology failures: 59963
% 89.52/11.73  % reductions: 0
% 89.52/11.73  % extensions: 1939708
% 89.52/11.73  % SAT variables: 880486
% 89.52/11.73  % SAT clauses: 1164398
% 89.52/11.73  % WalkSAT solutions: 1164390
% 89.52/11.73  % CDCL solutions: 6
% 89.52/11.73  % SZS status Unsatisfiable for theBenchmark
% 89.52/11.73  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------