%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM016-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n006.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 13:58:14 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ( ~ less(a,factorial_plus_one(a))
    | ~ prime(factorial_plus_one(a))
    | less(factorial_plus_one(a),factorial_plus_one(a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_another_prime)]) ).

cnf(g1,plain,
    ( divides(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a))
    | prime(factorial_plus_one(a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',division_by_prime_divisor)]) ).

cnf(g2,plain,
    less(a,factorial_plus_one(a)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_prime_is_less_than_the_next_one)]) ).

cnf(g3,plain,
    ~ less(factorial_plus_one(a),factorial_plus_one(a)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',nothing_is_less_than_itself)]) ).

cnf(g4,plain,
    ( less(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a))
    | prime(factorial_plus_one(a)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',smaller_prime_divisors)]) ).

cnf(g5,plain,
    ( prime(factorial_plus_one(a))
    | prime(prime_divisor(factorial_plus_one(a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prime_divsiors)]) ).

cnf(g6,plain,
    ( ~ less(a,prime_divisor(factorial_plus_one(a)))
    | ~ prime(prime_divisor(factorial_plus_one(a)))
    | less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_another_prime)]) ).

cnf(g7,plain,
    ( ~ divides(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a))
    | less(a,prime_divisor(factorial_plus_one(a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',divisor_is_smaller)]) ).

cnf(g8,plain,
    ( ~ less(prime_divisor(factorial_plus_one(a)),factorial_plus_one(a))
    | ~ less(factorial_plus_one(a),prime_divisor(factorial_plus_one(a))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',numbers_are_different)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : NUM016-2 : TPTP v8.1.0. Released v1.0.0.
% 0.11/0.13  % Command  : satcop --statistics %s
% 0.12/0.34  % Computer : n006.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jul  6 16:25:51 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % symbols: 8
% 0.12/0.34  % clauses: 8
% 0.12/0.34  % start clauses: 1
% 0.12/0.34  % iterative deepening steps: 44
% 0.12/0.34  % maximum path limit: 2
% 0.12/0.34  % literal attempts: 256
% 0.12/0.34  % depth failures: 102
% 0.12/0.34  % regularity failures: 0
% 0.12/0.34  % tautology failures: 0
% 0.12/0.34  % reductions: 15
% 0.12/0.34  % extensions: 212
% 0.12/0.34  % SAT variables: 109
% 0.12/0.34  % SAT clauses: 117
% 0.12/0.34  % WalkSAT solutions: 110
% 0.12/0.34  % CDCL solutions: 0
% 0.12/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.12/0.34  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------