TSTP Solution File: NUM007-1 by Drodi---3.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.5.1
% Problem  : NUM007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n027.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  : 300s
% DateTime : Wed May 31 12:24:18 EDT 2023

% Result   : Unsatisfiable 5.66s 1.11s
% Output   : CNFRefutation 5.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   32
% Syntax   : Number of formulae    :  124 (  23 unt;   0 def)
%            Number of atoms       :  271 (   4 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :  270 ( 123   ~; 132   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :   20 (  18 usr;  16 prp; 0-3 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :  132 (; 132   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X] : divides(X,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,Z,Y] :
      ( divides(X,Z)
      | ~ divides(X,Y)
      | ~ divides(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [X,Y] : divides(X,multiply(X,Y)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y,Z] :
      ( divides(multiply(X,Y),multiply(X,Z))
      | ~ divides(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y,Z] :
      ( divides(X,quotient(Y,Z))
      | ~ divides(Z,Y)
      | ~ divides(multiply(X,Z),Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y,Z] :
      ( divides(quotient(X,Y),Z)
      | ~ divides(Y,X)
      | ~ divides(X,multiply(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [U,Y,X] :
      ( divides(U,Y)
      | ~ gcd(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [U,X,Y] :
      ( divides(U,X)
      | ~ gcd(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [V,U,X,Y] :
      ( divides(V,U)
      | ~ divides(V,X)
      | ~ divides(V,Y)
      | ~ gcd(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    ! [Z,X,Y,U] :
      ( gcd(multiply(Z,X),multiply(Z,Y),multiply(Z,U))
      | ~ gcd(X,Y,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f16,axiom,
    ! [X,Y,U] :
      ( lcm(X,Y,U)
      | ~ divides(X,U)
      | ~ divides(Y,U)
      | divides(X,k(Y,X,U)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f17,axiom,
    ! [X,Y,U] :
      ( lcm(X,Y,U)
      | ~ divides(X,U)
      | ~ divides(Y,U)
      | divides(Y,k(Y,X,U)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f18,axiom,
    ! [X,Y,U] :
      ( lcm(X,Y,U)
      | ~ divides(X,U)
      | ~ divides(Y,U)
      | ~ divides(U,k(Y,X,U)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [X,Y,Z] : k(X,Y,Z) = k(Y,X,Z),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    ! [X,Y] : multiply(X,Y) = multiply(Y,X),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,negated_conjecture,
    gcd(a,b,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,negated_conjecture,
    ~ lcm(a,b,quotient(multiply(a,b),c)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,plain,
    ! [X0] : divides(X0,X0),
    inference(cnf_transformation,[status(esa)],[f1]) ).

fof(f27,plain,
    ! [Z,Y] :
      ( ! [X] :
          ( divides(X,Z)
          | ~ divides(X,Y) )
      | ~ divides(Y,Z) ),
    inference(miniscoping,[status(esa)],[f2]) ).

fof(f28,plain,
    ! [X0,X1,X2] :
      ( divides(X0,X1)
      | ~ divides(X0,X2)
      | ~ divides(X2,X1) ),
    inference(cnf_transformation,[status(esa)],[f27]) ).

fof(f29,plain,
    ! [X0,X1] : divides(X0,multiply(X0,X1)),
    inference(cnf_transformation,[status(esa)],[f3]) ).

fof(f30,plain,
    ! [Y,Z] :
      ( ! [X] : divides(multiply(X,Y),multiply(X,Z))
      | ~ divides(Y,Z) ),
    inference(miniscoping,[status(esa)],[f4]) ).

fof(f31,plain,
    ! [X0,X1,X2] :
      ( divides(multiply(X0,X1),multiply(X0,X2))
      | ~ divides(X1,X2) ),
    inference(cnf_transformation,[status(esa)],[f30]) ).

fof(f34,plain,
    ! [X0,X1,X2] :
      ( divides(X0,quotient(X1,X2))
      | ~ divides(X2,X1)
      | ~ divides(multiply(X0,X2),X1) ),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f35,plain,
    ! [X0,X1,X2] :
      ( divides(quotient(X0,X1),X2)
      | ~ divides(X1,X0)
      | ~ divides(X0,multiply(X1,X2)) ),
    inference(cnf_transformation,[status(esa)],[f8]) ).

fof(f36,plain,
    ! [U,Y] :
      ( divides(U,Y)
      | ! [X] : ~ gcd(X,Y,U) ),
    inference(miniscoping,[status(esa)],[f9]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( divides(X0,X1)
      | ~ gcd(X2,X1,X0) ),
    inference(cnf_transformation,[status(esa)],[f36]) ).

fof(f38,plain,
    ! [U,X] :
      ( divides(U,X)
      | ! [Y] : ~ gcd(X,Y,U) ),
    inference(miniscoping,[status(esa)],[f10]) ).

fof(f39,plain,
    ! [X0,X1,X2] :
      ( divides(X0,X1)
      | ~ gcd(X1,X2,X0) ),
    inference(cnf_transformation,[status(esa)],[f38]) ).

fof(f40,plain,
    ! [U,X,Y] :
      ( ! [V] :
          ( divides(V,U)
          | ~ divides(V,X)
          | ~ divides(V,Y) )
      | ~ gcd(X,Y,U) ),
    inference(miniscoping,[status(esa)],[f11]) ).

fof(f41,plain,
    ! [X0,X1,X2,X3] :
      ( divides(X0,X1)
      | ~ divides(X0,X2)
      | ~ divides(X0,X3)
      | ~ gcd(X2,X3,X1) ),
    inference(cnf_transformation,[status(esa)],[f40]) ).

fof(f45,plain,
    ! [X,Y,U] :
      ( ! [Z] : gcd(multiply(Z,X),multiply(Z,Y),multiply(Z,U))
      | ~ gcd(X,Y,U) ),
    inference(miniscoping,[status(esa)],[f15]) ).

fof(f46,plain,
    ! [X0,X1,X2,X3] :
      ( gcd(multiply(X0,X1),multiply(X0,X2),multiply(X0,X3))
      | ~ gcd(X1,X2,X3) ),
    inference(cnf_transformation,[status(esa)],[f45]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( lcm(X0,X1,X2)
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | divides(X0,k(X1,X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f16]) ).

fof(f48,plain,
    ! [X0,X1,X2] :
      ( lcm(X0,X1,X2)
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | divides(X1,k(X1,X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f17]) ).

fof(f49,plain,
    ! [X0,X1,X2] :
      ( lcm(X0,X1,X2)
      | ~ divides(X0,X2)
      | ~ divides(X1,X2)
      | ~ divides(X2,k(X1,X0,X2)) ),
    inference(cnf_transformation,[status(esa)],[f18]) ).

fof(f50,plain,
    ! [X0,X1,X2] : k(X0,X1,X2) = k(X1,X0,X2),
    inference(cnf_transformation,[status(esa)],[f19]) ).

fof(f52,plain,
    ! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
    inference(cnf_transformation,[status(esa)],[f21]) ).

fof(f55,plain,
    gcd(a,b,c),
    inference(cnf_transformation,[status(esa)],[f24]) ).

fof(f56,plain,
    ~ lcm(a,b,quotient(multiply(a,b),c)),
    inference(cnf_transformation,[status(esa)],[f25]) ).

fof(f57,plain,
    ! [X0,X1] : divides(X0,multiply(X1,X0)),
    inference(paramodulation,[status(thm)],[f52,f29]) ).

fof(f64,plain,
    ! [X0,X1,X2,X3] :
      ( ~ gcd(X0,X1,X2)
      | divides(multiply(X3,X2),multiply(X3,X1)) ),
    inference(resolution,[status(thm)],[f37,f31]) ).

fof(f65,plain,
    ! [X0,X1,X2,X3] :
      ( ~ gcd(X0,X1,X2)
      | divides(multiply(X3,X2),multiply(X3,X0)) ),
    inference(resolution,[status(thm)],[f39,f31]) ).

fof(f136,plain,
    ! [X0] : gcd(multiply(X0,a),multiply(X0,b),multiply(X0,c)),
    inference(resolution,[status(thm)],[f46,f55]) ).

fof(f140,plain,
    ! [X0] : gcd(multiply(a,X0),multiply(X0,b),multiply(X0,c)),
    inference(paramodulation,[status(thm)],[f52,f136]) ).

fof(f151,plain,
    ! [X0] : gcd(multiply(a,X0),multiply(X0,b),multiply(c,X0)),
    inference(paramodulation,[status(thm)],[f52,f140]) ).

fof(f327,plain,
    ! [X0,X1,X2,X3] :
      ( ~ gcd(X0,X1,X2)
      | divides(multiply(X3,X2),multiply(X0,X3)) ),
    inference(paramodulation,[status(thm)],[f52,f65]) ).

fof(f356,plain,
    ( spl0_0
  <=> divides(a,quotient(multiply(a,b),c)) ),
    introduced(split_symbol_definition) ).

fof(f358,plain,
    ( ~ divides(a,quotient(multiply(a,b),c))
    | spl0_0 ),
    inference(component_clause,[status(thm)],[f356]) ).

fof(f359,plain,
    ( spl0_1
  <=> divides(b,quotient(multiply(a,b),c)) ),
    introduced(split_symbol_definition) ).

fof(f361,plain,
    ( ~ divides(b,quotient(multiply(a,b),c))
    | spl0_1 ),
    inference(component_clause,[status(thm)],[f359]) ).

fof(f362,plain,
    ( spl0_2
  <=> divides(a,k(b,a,quotient(multiply(a,b),c))) ),
    introduced(split_symbol_definition) ).

fof(f363,plain,
    ( divides(a,k(b,a,quotient(multiply(a,b),c)))
    | ~ spl0_2 ),
    inference(component_clause,[status(thm)],[f362]) ).

fof(f365,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))) ),
    inference(resolution,[status(thm)],[f47,f56]) ).

fof(f366,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | spl0_2 ),
    inference(split_clause,[status(thm)],[f365,f356,f359,f362]) ).

fof(f368,plain,
    ( spl0_3
  <=> divides(c,multiply(a,b)) ),
    introduced(split_symbol_definition) ).

fof(f370,plain,
    ( ~ divides(c,multiply(a,b))
    | spl0_3 ),
    inference(component_clause,[status(thm)],[f368]) ).

fof(f371,plain,
    ( spl0_4
  <=> divides(multiply(b,c),multiply(a,b)) ),
    introduced(split_symbol_definition) ).

fof(f373,plain,
    ( ~ divides(multiply(b,c),multiply(a,b))
    | spl0_4 ),
    inference(component_clause,[status(thm)],[f371]) ).

fof(f374,plain,
    ( ~ divides(c,multiply(a,b))
    | ~ divides(multiply(b,c),multiply(a,b))
    | spl0_1 ),
    inference(resolution,[status(thm)],[f361,f34]) ).

fof(f375,plain,
    ( ~ spl0_3
    | ~ spl0_4
    | spl0_1 ),
    inference(split_clause,[status(thm)],[f374,f368,f371,f359]) ).

fof(f389,plain,
    ! [X0] :
      ( ~ divides(c,X0)
      | ~ divides(X0,multiply(a,b))
      | spl0_3 ),
    inference(resolution,[status(thm)],[f370,f28]) ).

fof(f428,plain,
    ( spl0_13
  <=> divides(multiply(a,c),multiply(a,b)) ),
    introduced(split_symbol_definition) ).

fof(f430,plain,
    ( ~ divides(multiply(a,c),multiply(a,b))
    | spl0_13 ),
    inference(component_clause,[status(thm)],[f428]) ).

fof(f431,plain,
    ( ~ divides(c,multiply(a,b))
    | ~ divides(multiply(a,c),multiply(a,b))
    | spl0_0 ),
    inference(resolution,[status(thm)],[f358,f34]) ).

fof(f432,plain,
    ( ~ spl0_3
    | ~ spl0_13
    | spl0_0 ),
    inference(split_clause,[status(thm)],[f431,f368,f428,f356]) ).

fof(f437,plain,
    ( divides(a,k(a,b,quotient(multiply(a,b),c)))
    | ~ spl0_2 ),
    inference(forward_demodulation,[status(thm)],[f50,f363]) ).

fof(f499,plain,
    ! [X0] :
      ( divides(multiply(X0,a),multiply(X0,k(a,b,quotient(multiply(a,b),c))))
      | ~ spl0_2 ),
    inference(resolution,[status(thm)],[f437,f31]) ).

fof(f500,plain,
    ! [X0] :
      ( ~ gcd(a,X0,c)
      | spl0_4 ),
    inference(resolution,[status(thm)],[f373,f327]) ).

fof(f533,plain,
    ! [X0] :
      ( ~ gcd(X0,b,c)
      | spl0_13 ),
    inference(resolution,[status(thm)],[f430,f64]) ).

fof(f549,plain,
    ! [X0] :
      ( divides(multiply(a,X0),multiply(X0,k(a,b,quotient(multiply(a,b),c))))
      | ~ spl0_2 ),
    inference(paramodulation,[status(thm)],[f52,f499]) ).

fof(f727,plain,
    ( spl0_20
  <=> divides(b,k(b,a,quotient(multiply(a,b),c))) ),
    introduced(split_symbol_definition) ).

fof(f728,plain,
    ( divides(b,k(b,a,quotient(multiply(a,b),c)))
    | ~ spl0_20 ),
    inference(component_clause,[status(thm)],[f727]) ).

fof(f730,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))) ),
    inference(resolution,[status(thm)],[f48,f56]) ).

fof(f731,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | spl0_20 ),
    inference(split_clause,[status(thm)],[f730,f356,f359,f727]) ).

fof(f733,plain,
    ( divides(b,k(a,b,quotient(multiply(a,b),c)))
    | ~ spl0_20 ),
    inference(forward_demodulation,[status(thm)],[f50,f728]) ).

fof(f734,plain,
    ( spl0_21
  <=> divides(quotient(multiply(a,b),c),k(b,a,quotient(multiply(a,b),c))) ),
    introduced(split_symbol_definition) ).

fof(f736,plain,
    ( ~ divides(quotient(multiply(a,b),c),k(b,a,quotient(multiply(a,b),c)))
    | spl0_21 ),
    inference(component_clause,[status(thm)],[f734]) ).

fof(f737,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))) ),
    inference(resolution,[status(thm)],[f49,f56]) ).

fof(f738,plain,
    ( ~ spl0_0
    | ~ spl0_1
    | ~ spl0_21 ),
    inference(split_clause,[status(thm)],[f737,f356,f359,f734]) ).

fof(f740,plain,
    ( ~ divides(quotient(multiply(a,b),c),k(a,b,quotient(multiply(a,b),c)))
    | spl0_21 ),
    inference(forward_demodulation,[status(thm)],[f50,f736]) ).

fof(f782,plain,
    ! [X0] :
      ( divides(multiply(X0,b),multiply(X0,k(a,b,quotient(multiply(a,b),c))))
      | ~ spl0_20 ),
    inference(resolution,[status(thm)],[f733,f31]) ).

fof(f783,plain,
    ( spl0_28
  <=> divides(c,a) ),
    introduced(split_symbol_definition) ).

fof(f784,plain,
    ( divides(c,a)
    | ~ spl0_28 ),
    inference(component_clause,[status(thm)],[f783]) ).

fof(f785,plain,
    ( ~ divides(c,a)
    | spl0_28 ),
    inference(component_clause,[status(thm)],[f783]) ).

fof(f809,plain,
    ! [X0] :
      ( ~ gcd(a,X0,c)
      | spl0_28 ),
    inference(resolution,[status(thm)],[f785,f39]) ).

fof(f843,plain,
    ( $false
    | spl0_28 ),
    inference(backward_subsumption_resolution,[status(thm)],[f55,f809]) ).

fof(f844,plain,
    spl0_28,
    inference(contradiction_clause,[status(thm)],[f843]) ).

fof(f855,plain,
    ( spl0_39
  <=> divides(multiply(a,b),multiply(c,k(a,b,quotient(multiply(a,b),c)))) ),
    introduced(split_symbol_definition) ).

fof(f857,plain,
    ( ~ divides(multiply(a,b),multiply(c,k(a,b,quotient(multiply(a,b),c))))
    | spl0_39 ),
    inference(component_clause,[status(thm)],[f855]) ).

fof(f858,plain,
    ( ~ divides(c,multiply(a,b))
    | ~ divides(multiply(a,b),multiply(c,k(a,b,quotient(multiply(a,b),c))))
    | spl0_21 ),
    inference(resolution,[status(thm)],[f740,f35]) ).

fof(f859,plain,
    ( ~ spl0_3
    | ~ spl0_39
    | spl0_21 ),
    inference(split_clause,[status(thm)],[f858,f368,f855,f734]) ).

fof(f973,plain,
    ! [X0,X1] :
      ( ~ divides(multiply(a,b),X0)
      | ~ divides(multiply(a,b),X1)
      | ~ gcd(X0,X1,multiply(c,k(a,b,quotient(multiply(a,b),c))))
      | spl0_39 ),
    inference(resolution,[status(thm)],[f857,f41]) ).

fof(f2035,plain,
    ( ~ divides(a,multiply(a,b))
    | spl0_3
    | ~ spl0_28 ),
    inference(resolution,[status(thm)],[f389,f784]) ).

fof(f2036,plain,
    ( $false
    | spl0_3
    | ~ spl0_28 ),
    inference(forward_subsumption_resolution,[status(thm)],[f2035,f29]) ).

fof(f2037,plain,
    ( spl0_3
    | ~ spl0_28 ),
    inference(contradiction_clause,[status(thm)],[f2036]) ).

fof(f2070,plain,
    ( $false
    | spl0_13 ),
    inference(backward_subsumption_resolution,[status(thm)],[f55,f533]) ).

fof(f2071,plain,
    spl0_13,
    inference(contradiction_clause,[status(thm)],[f2070]) ).

fof(f2207,plain,
    ( $false
    | spl0_4 ),
    inference(forward_subsumption_resolution,[status(thm)],[f55,f500]) ).

fof(f2208,plain,
    spl0_4,
    inference(contradiction_clause,[status(thm)],[f2207]) ).

fof(f3491,plain,
    ( spl0_111
  <=> divides(multiply(a,b),multiply(a,k(a,b,quotient(multiply(a,b),c)))) ),
    introduced(split_symbol_definition) ).

fof(f3493,plain,
    ( ~ divides(multiply(a,b),multiply(a,k(a,b,quotient(multiply(a,b),c))))
    | spl0_111 ),
    inference(component_clause,[status(thm)],[f3491]) ).

fof(f3499,plain,
    ( spl0_113
  <=> divides(multiply(a,b),multiply(k(a,b,quotient(multiply(a,b),c)),b)) ),
    introduced(split_symbol_definition) ).

fof(f3501,plain,
    ( ~ divides(multiply(a,b),multiply(k(a,b,quotient(multiply(a,b),c)),b))
    | spl0_113 ),
    inference(component_clause,[status(thm)],[f3499]) ).

fof(f3502,plain,
    ( ~ divides(multiply(a,b),multiply(a,k(a,b,quotient(multiply(a,b),c))))
    | ~ divides(multiply(a,b),multiply(k(a,b,quotient(multiply(a,b),c)),b))
    | spl0_39 ),
    inference(resolution,[status(thm)],[f973,f151]) ).

fof(f3503,plain,
    ( ~ spl0_111
    | ~ spl0_113
    | spl0_39 ),
    inference(split_clause,[status(thm)],[f3502,f3491,f3499,f855]) ).

fof(f3523,plain,
    ( $false
    | ~ spl0_20
    | spl0_111 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3493,f782]) ).

fof(f3524,plain,
    ( ~ spl0_20
    | spl0_111 ),
    inference(contradiction_clause,[status(thm)],[f3523]) ).

fof(f3525,plain,
    ( ~ divides(multiply(a,b),multiply(b,k(a,b,quotient(multiply(a,b),c))))
    | spl0_113 ),
    inference(forward_demodulation,[status(thm)],[f52,f3501]) ).

fof(f6220,plain,
    ( spl0_131
  <=> divides(a,a) ),
    introduced(split_symbol_definition) ).

fof(f6222,plain,
    ( ~ divides(a,a)
    | spl0_131 ),
    inference(component_clause,[status(thm)],[f6220]) ).

fof(f6232,plain,
    ( $false
    | spl0_131 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6222,f26]) ).

fof(f6233,plain,
    spl0_131,
    inference(contradiction_clause,[status(thm)],[f6232]) ).

fof(f6530,plain,
    ( spl0_139
  <=> divides(b,b) ),
    introduced(split_symbol_definition) ).

fof(f6532,plain,
    ( ~ divides(b,b)
    | spl0_139 ),
    inference(component_clause,[status(thm)],[f6530]) ).

fof(f6539,plain,
    ( $false
    | spl0_139 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6532,f26]) ).

fof(f6540,plain,
    spl0_139,
    inference(contradiction_clause,[status(thm)],[f6539]) ).

fof(f6879,plain,
    ( spl0_141
  <=> divides(multiply(a,b),multiply(c,multiply(a,b))) ),
    introduced(split_symbol_definition) ).

fof(f6881,plain,
    ( ~ divides(multiply(a,b),multiply(c,multiply(a,b)))
    | spl0_141 ),
    inference(component_clause,[status(thm)],[f6879]) ).

fof(f6898,plain,
    ( $false
    | spl0_141 ),
    inference(forward_subsumption_resolution,[status(thm)],[f6881,f57]) ).

fof(f6899,plain,
    spl0_141,
    inference(contradiction_clause,[status(thm)],[f6898]) ).

fof(f7695,plain,
    ( $false
    | ~ spl0_2
    | spl0_113 ),
    inference(forward_subsumption_resolution,[status(thm)],[f3525,f549]) ).

fof(f7696,plain,
    ( ~ spl0_2
    | spl0_113 ),
    inference(contradiction_clause,[status(thm)],[f7695]) ).

fof(f7697,plain,
    $false,
    inference(sat_refutation,[status(thm)],[f366,f375,f432,f731,f738,f844,f859,f2037,f2071,f2208,f3503,f3524,f6233,f6540,f6899,f7696]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34  % Computer : n027.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  : 300
% 0.13/0.34  % DateTime : Tue May 30 10:19:33 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.35  % Drodi V3.5.1
% 5.66/1.11  % Refutation found
% 5.66/1.11  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.66/1.11  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 6.09/1.13  % Elapsed time: 0.782698 seconds
% 6.09/1.13  % CPU time: 6.096621 seconds
% 6.09/1.13  % Memory used: 108.036 MB
%------------------------------------------------------------------------------