TSTP Solution File: CAT010-4 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n025.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 248.19s 31.54s
% Output   : Proof 248.19s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

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

cnf(g1,plain,
    sPE(compose(codomain(a),a),a),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',compose_codomain)]) ).

cnf(g2,plain,
    sPE(b,b),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g3,plain,
    there_exists(compose(a,b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ab_exists)]) ).

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

cnf(g5,plain,
    ( ~ there_exists(compose(a,b))
    | there_exists(domain(a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',composition_implies_domain)]) ).

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

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

cnf(g8,plain,
    ( ~ sPE(compose(codomain(a),a),a)
    | sPE(a,compose(codomain(a),a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

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

cnf(g11,plain,
    ( ~ there_exists(compose(codomain(a),compose(a,b)))
    | sPE(domain(codomain(a)),codomain(compose(a,b))) ),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',domain_codomain_composition1)]) ).

cnf(g12,plain,
    sPE(compose(codomain(a),compose(a,b)),compose(compose(codomain(a),a),b)),
    inference(ground_cnf,[],[file('Axioms/CAT004-0.ax',associativity_of_compose)]) ).

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

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

cnf(g15,plain,
    ( ~ sPE(compose(a,b),compose(compose(codomain(a),a),b))
    | ~ there_exists(compose(a,b))
    | there_exists(compose(compose(codomain(a),a),b)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : CAT010-4 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n025.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun May 29 17:57:26 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 248.19/31.54  % symbols: 9
% 248.19/31.54  % clauses: 21
% 248.19/31.54  % start clauses: 1
% 248.19/31.54  % iterative deepening steps: 2133
% 248.19/31.54  % maximum path limit: 10
% 248.19/31.54  % literal attempts: 4203350
% 248.19/31.54  % depth failures: 2429550
% 248.19/31.54  % regularity failures: 311380
% 248.19/31.54  % tautology failures: 126486
% 248.19/31.54  % reductions: 0
% 248.19/31.54  % extensions: 4202978
% 248.19/31.54  % SAT variables: 2212674
% 248.19/31.54  % SAT clauses: 2880399
% 248.19/31.54  % WalkSAT solutions: 2880389
% 248.19/31.54  % CDCL solutions: 8
% 248.19/31.54  % SZS status Unsatisfiable for theBenchmark
% 248.19/31.54  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------