%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUM007-1 : 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 : Mon Jul 18 13:58:11 EDT 2022

% Result   : Unsatisfiable 21.41s 3.06s
% Output   : Proof 21.91s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    gcd(a,b,c),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',c_is_gcd_of_a_and_b)]) ).

cnf(g1,plain,
    ~ lcm(a,b,quotient(multiply(a,b),c)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_lcm)]) ).

cnf(g2,plain,
    ( ~ gcd(a,b,c)
    | divides(c,a) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_divides2)]) ).

cnf(g3,plain,
    ( ~ gcd(a,b,c)
    | divides(c,b) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_divides1)]) ).

cnf(g4,plain,
    ( ~ gcd(a,b,c)
    | gcd(multiply(b,a),multiply(b,b),multiply(b,c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_gcd)]) ).

cnf(g5,plain,
    ( ~ divides(a,quotient(multiply(a,b),c))
    | ~ divides(b,quotient(multiply(a,b),c))
    | divides(a,k(b,a,quotient(multiply(a,b),c)))
    | lcm(a,b,quotient(multiply(a,b),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcm1)]) ).

cnf(g6,plain,
    ( ~ divides(a,quotient(multiply(a,b),c))
    | ~ divides(b,quotient(multiply(a,b),c))
    | divides(b,k(b,a,quotient(multiply(a,b),c)))
    | lcm(a,b,quotient(multiply(a,b),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcm2)]) ).

cnf(g7,plain,
    ( ~ divides(a,quotient(multiply(a,b),c))
    | ~ divides(b,quotient(multiply(a,b),c))
    | ~ divides(quotient(multiply(a,b),c),k(b,a,quotient(multiply(a,b),c)))
    | lcm(a,b,quotient(multiply(a,b),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',lcm3)]) ).

cnf(g8,plain,
    ( ~ divides(c,multiply(a,b))
    | ~ divides(multiply(a,c),multiply(a,b))
    | divides(a,quotient(multiply(a,b),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_quotient_multiply2)]) ).

cnf(g9,plain,
    ( ~ divides(c,multiply(a,b))
    | ~ divides(multiply(b,c),multiply(a,b))
    | divides(b,quotient(multiply(a,b),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_quotient_multiply2)]) ).

cnf(g10,plain,
    ( ~ divides(multiply(a,b),multiply(c,k(b,a,quotient(multiply(a,b),c))))
    | ~ divides(c,multiply(a,b))
    | divides(quotient(multiply(a,b),c),k(b,a,quotient(multiply(a,b),c))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_quotient_multiply3)]) ).

cnf(g11,plain,
    divides(a,multiply(a,b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',operand_divides_product)]) ).

cnf(g12,plain,
    ( ~ divides(c,a)
    | ~ divides(a,multiply(a,b))
    | divides(c,multiply(a,b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_divides)]) ).

cnf(g13,plain,
    sPE(multiply(b,b),multiply(b,b)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ divides(c,b)
    | divides(multiply(a,c),multiply(a,b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_and_multiply)]) ).

cnf(g15,plain,
    sPE(multiply(b,a),multiply(a,b)),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply)]) ).

cnf(g16,plain,
    sPE(multiply(b,c),multiply(b,c)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(multiply(b,a),multiply(a,b))
    | ~ sPE(multiply(b,b),multiply(b,b))
    | ~ sPE(multiply(b,c),multiply(b,c))
    | ~ gcd(multiply(b,a),multiply(b,b),multiply(b,c))
    | gcd(multiply(a,b),multiply(b,b),multiply(b,c)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ gcd(multiply(a,b),multiply(b,b),multiply(b,c))
    | divides(multiply(b,c),multiply(a,b)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd_divides2)]) ).

cnf(g19,plain,
    ( ~ divides(a,k(b,a,quotient(multiply(a,b),c)))
    | divides(multiply(b,a),multiply(b,k(b,a,quotient(multiply(a,b),c)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_and_multiply)]) ).

cnf(g20,plain,
    sPE(multiply(k(b,a,quotient(multiply(a,b),c)),c),multiply(c,k(b,a,quotient(multiply(a,b),c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply)]) ).

cnf(g21,plain,
    sPE(multiply(b,k(b,a,quotient(multiply(a,b),c))),multiply(b,k(b,a,quotient(multiply(a,b),c)))),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    sPE(multiply(k(b,a,quotient(multiply(a,b),c)),b),multiply(b,k(b,a,quotient(multiply(a,b),c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply)]) ).

cnf(g23,plain,
    ( ~ sPE(multiply(b,a),multiply(a,b))
    | ~ sPE(multiply(b,k(b,a,quotient(multiply(a,b),c))),multiply(b,k(b,a,quotient(multiply(a,b),c))))
    | ~ divides(multiply(b,a),multiply(b,k(b,a,quotient(multiply(a,b),c))))
    | divides(multiply(a,b),multiply(b,k(b,a,quotient(multiply(a,b),c)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    sPE(multiply(k(b,a,quotient(multiply(a,b),c)),a),multiply(a,k(b,a,quotient(multiply(a,b),c)))),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_multiply)]) ).

cnf(g25,plain,
    ( ~ divides(b,k(b,a,quotient(multiply(a,b),c)))
    | divides(multiply(a,b),multiply(a,k(b,a,quotient(multiply(a,b),c)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',divides_and_multiply)]) ).

cnf(g26,plain,
    ( ~ gcd(a,b,c)
    | gcd(multiply(k(b,a,quotient(multiply(a,b),c)),a),multiply(k(b,a,quotient(multiply(a,b),c)),b),multiply(k(b,a,quotient(multiply(a,b),c)),c)) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_gcd)]) ).

cnf(g27,plain,
    ( ~ divides(multiply(a,b),multiply(a,k(b,a,quotient(multiply(a,b),c))))
    | ~ divides(multiply(a,b),multiply(b,k(b,a,quotient(multiply(a,b),c))))
    | ~ gcd(multiply(a,k(b,a,quotient(multiply(a,b),c))),multiply(b,k(b,a,quotient(multiply(a,b),c))),multiply(c,k(b,a,quotient(multiply(a,b),c))))
    | divides(multiply(a,b),multiply(c,k(b,a,quotient(multiply(a,b),c)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',gcd1)]) ).

cnf(g28,plain,
    ( ~ sPE(multiply(k(b,a,quotient(multiply(a,b),c)),a),multiply(a,k(b,a,quotient(multiply(a,b),c))))
    | ~ sPE(multiply(k(b,a,quotient(multiply(a,b),c)),b),multiply(b,k(b,a,quotient(multiply(a,b),c))))
    | ~ sPE(multiply(k(b,a,quotient(multiply(a,b),c)),c),multiply(c,k(b,a,quotient(multiply(a,b),c))))
    | ~ gcd(multiply(k(b,a,quotient(multiply(a,b),c)),a),multiply(k(b,a,quotient(multiply(a,b),c)),b),multiply(k(b,a,quotient(multiply(a,b),c)),c))
    | gcd(multiply(a,k(b,a,quotient(multiply(a,b),c))),multiply(b,k(b,a,quotient(multiply(a,b),c))),multiply(c,k(b,a,quotient(multiply(a,b),c)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUM007-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13  % Command  : satcop --statistics %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Thu Jul  7 22:23:59 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 21.41/3.06  % symbols: 12
% 21.41/3.06  % clauses: 35
% 21.41/3.06  % start clauses: 2
% 21.41/3.06  % iterative deepening steps: 2195
% 21.41/3.06  % maximum path limit: 5
% 21.41/3.06  % literal attempts: 3562056
% 21.41/3.06  % depth failures: 2634144
% 21.41/3.06  % regularity failures: 107822
% 21.41/3.06  % tautology failures: 85517
% 21.41/3.06  % reductions: 337937
% 21.41/3.06  % extensions: 3223674
% 21.41/3.06  % SAT variables: 461894
% 21.41/3.06  % SAT clauses: 544867
% 21.41/3.06  % WalkSAT solutions: 544855
% 21.41/3.06  % CDCL solutions: 9
% 21.41/3.06  % SZS status Unsatisfiable for theBenchmark
% 21.41/3.06  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------