TSTP Solution File: CAT004-1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : CAT004-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n024.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 7.15s 1.74s
% Output   : Proof 7.15s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ sPE(h,g),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_h_equals_g)]) ).

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

cnf(g2,plain,
    ( ~ defined(g,a)
    | product(g,a,compose(g,a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',closure_of_composition)]) ).

cnf(g3,plain,
    ( ~ defined(h,a)
    | product(h,a,compose(h,a)) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',closure_of_composition)]) ).

cnf(g4,plain,
    product(a,b,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',ab_equals_c)]) ).

cnf(g5,plain,
    ( ~ product(g,a,compose(g,a))
    | ~ product(h,a,compose(g,a))
    | sPE(g,h) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product1)]) ).

cnf(g6,plain,
    product(h,c,d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',hc_equals_d)]) ).

cnf(g7,plain,
    sPE(h,h),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g8,plain,
    product(g,c,d),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',gc_equals_d)]) ).

cnf(g9,plain,
    sPE(a,a),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ defined(g,c)
    | ~ product(a,b,c)
    | defined(g,a) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom3)]) ).

cnf(g11,plain,
    ( ~ defined(h,c)
    | ~ product(a,b,c)
    | defined(h,a) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom3)]) ).

cnf(g12,plain,
    ( ~ product(a,b,c)
    | ~ product(h,a,compose(h,a))
    | ~ product(h,c,d)
    | product(compose(h,a),b,d) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom5)]) ).

cnf(g13,plain,
    ( ~ product(g,c,d)
    | defined(g,c) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).

cnf(g14,plain,
    ( ~ sPE(h,h)
    | ~ sPE(a,a)
    | ~ sPE(compose(h,a),compose(g,a))
    | ~ product(h,a,compose(h,a))
    | product(h,a,compose(g,a)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    ( ~ product(h,c,d)
    | defined(h,c) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',associative_property1)]) ).

cnf(g16,plain,
    ( ~ product(compose(h,a),b,d)
    | ~ product(compose(g,a),b,d)
    | sPE(compose(h,a),compose(g,a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',cancellation_for_product2)]) ).

cnf(g17,plain,
    ( ~ product(a,b,c)
    | ~ product(g,a,compose(g,a))
    | ~ product(g,c,d)
    | product(compose(g,a),b,d) ),
    inference(ground_cnf,[],[file('Axioms/CAT001-0.ax',category_theory_axiom5)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : CAT004-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13  % Command  : satcop --statistics %s
% 0.13/0.34  % Computer : n024.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 16:49:36 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 7.15/1.74  % symbols: 14
% 7.15/1.74  % clauses: 33
% 7.15/1.74  % start clauses: 1
% 7.15/1.74  % iterative deepening steps: 1545
% 7.15/1.74  % maximum path limit: 5
% 7.15/1.74  % literal attempts: 1795604
% 7.15/1.74  % depth failures: 1284963
% 7.15/1.74  % regularity failures: 29937
% 7.15/1.74  % tautology failures: 74977
% 7.15/1.74  % reductions: 0
% 7.15/1.74  % extensions: 1794513
% 7.15/1.74  % SAT variables: 160743
% 7.15/1.74  % SAT clauses: 414465
% 7.15/1.74  % WalkSAT solutions: 414467
% 7.15/1.74  % CDCL solutions: 0
% 7.15/1.74  % SZS status Unsatisfiable for theBenchmark
% 7.15/1.74  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------