TSTP Solution File: RNG001-5 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n029.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 : Mon Jul 18 20:40:09 EDT 2022

% Result   : Unsatisfiable 4.70s 1.04s
% Output   : Proof 4.70s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ product(a,additive_identity,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_multiplicative_identity_axiom)]) ).

cnf(g1,plain,
    product(a,additive_identity,multiply(a,additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_multiplication)]) ).

cnf(g2,plain,
    ( ~ equalish(multiply(a,additive_identity),additive_identity)
    | ~ product(a,additive_identity,multiply(a,additive_identity))
    | product(a,additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_substitution3)]) ).

cnf(g3,plain,
    sum(additive_identity,additive_identity,additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1)]) ).

cnf(g4,plain,
    sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),additive_identity),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse)]) ).

cnf(g5,plain,
    sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2)]) ).

cnf(g6,plain,
    ( ~ sum(multiply(a,additive_identity),additive_identity,multiply(a,additive_identity))
    | ~ sum(multiply(a,additive_identity),additive_identity,additive_identity)
    | equalish(multiply(a,additive_identity),additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined)]) ).

cnf(g7,plain,
    ( ~ sum(additive_identity,additive_identity,additive_identity)
    | ~ product(a,additive_identity,multiply(a,additive_identity))
    | ~ product(a,additive_identity,multiply(a,additive_identity))
    | ~ product(a,additive_identity,multiply(a,additive_identity))
    | sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',distributivity1)]) ).

cnf(g8,plain,
    ( ~ sum(multiply(a,additive_identity),multiply(a,additive_identity),multiply(a,additive_identity))
    | ~ sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),additive_identity)
    | ~ sum(multiply(a,additive_identity),additive_inverse(multiply(a,additive_identity)),additive_identity)
    | sum(multiply(a,additive_identity),additive_identity,additive_identity) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_addition1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : RNG001-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n029.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 : Mon May 30 15:48:14 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 4.70/1.04  % symbols: 10
% 4.70/1.04  % clauses: 30
% 4.70/1.04  % start clauses: 1
% 4.70/1.04  % iterative deepening steps: 1062
% 4.70/1.04  % maximum path limit: 4
% 4.70/1.04  % literal attempts: 1152111
% 4.70/1.04  % depth failures: 924991
% 4.70/1.04  % regularity failures: 5336
% 4.70/1.04  % tautology failures: 15814
% 4.70/1.04  % reductions: 0
% 4.70/1.04  % extensions: 1151202
% 4.70/1.04  % SAT variables: 44874
% 4.70/1.04  % SAT clauses: 148529
% 4.70/1.04  % WalkSAT solutions: 148524
% 4.70/1.04  % CDCL solutions: 3
% 4.70/1.04  % SZS status Unsatisfiable for theBenchmark
% 4.70/1.04  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------