TSTP Solution File: HEN009-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HEN009-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n005.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 : Mon May 20 21:34:49 EDT 2024

% Result   : Unsatisfiable 0.27s 0.54s
% Output   : Refutation 0.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   36
%            Number of leaves      :   16
% Syntax   : Number of formulae    :  122 ( 104 unt;   0 def)
%            Number of atoms       :  158 (  26 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   94 (  58   ~;  33   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-4 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :  125 ( 125   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f6824,plain,
    $false,
    inference(subsumption_resolution,[],[f6798,f1810]) ).

fof(f1810,plain,
    ! [X0] : ~ quotient(idQ__idQ_idQa,X0,idQa),
    inference(unit_resulting_resolution,[],[f1807,f3]) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ quotient(X0,X1,X2)
      | less_equal(X2,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',divisor_existence) ).

fof(f1807,plain,
    ~ less_equal(idQa,idQ__idQ_idQa),
    inference(subsumption_resolution,[],[f1806,f13]) ).

fof(f13,axiom,
    idQa != idQ__idQ_idQa,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_one_inversion_equals_three) ).

fof(f1806,plain,
    ( idQa = idQ__idQ_idQa
    | ~ less_equal(idQa,idQ__idQ_idQa) ),
    inference(forward_demodulation,[],[f1797,f1774]) ).

fof(f1774,plain,
    idQ__idQ_idQa = divide(idQa,idQ_idQa),
    inference(unit_resulting_resolution,[],[f1040,f1740,f6]) ).

fof(f6,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X0)
      | X0 = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_and_equal) ).

fof(f1740,plain,
    less_equal(idQ__idQ_idQa,divide(idQa,idQ_idQa)),
    inference(unit_resulting_resolution,[],[f1726,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ quotient(X0,X1,zero)
      | less_equal(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_equal_quotient) ).

fof(f1726,plain,
    quotient(idQ__idQ_idQa,divide(idQa,idQ_idQa),zero),
    inference(superposition,[],[f8,f1530]) ).

fof(f1530,plain,
    zero = divide(idQ__idQ_idQa,divide(idQa,idQ_idQa)),
    inference(unit_resulting_resolution,[],[f5,f716,f6]) ).

fof(f716,plain,
    less_equal(divide(idQ__idQ_idQa,divide(idQa,idQ_idQa)),zero),
    inference(unit_resulting_resolution,[],[f8,f568,f14]) ).

fof(f14,plain,
    ! [X6,X7,X4,X5] :
      ( ~ quotient(X5,X4,X6)
      | less_equal(X6,X7)
      | sP0(X5,X4,X7) ),
    inference(cnf_transformation,[],[f14_D]) ).

fof(f14_D,plain,
    ! [X7,X4,X5] :
      ( ! [X6] :
          ( ~ quotient(X5,X4,X6)
          | less_equal(X6,X7) )
    <=> ~ sP0(X5,X4,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f568,plain,
    ~ sP0(idQ__idQ_idQa,divide(idQa,idQ_idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f555,f19]) ).

fof(f19,plain,
    ! [X2,X1,X7,X4,X5] :
      ( ~ sP2(X7,X5,X2,X1)
      | ~ sP0(X5,X4,X7)
      | ~ quotient(X1,X2,X4) ),
    inference(general_splitting,[],[f17,f18_D]) ).

fof(f18,plain,
    ! [X2,X0,X1,X7,X5] :
      ( ~ sP1(X1,X0,X2,X7)
      | ~ quotient(X0,X2,X5)
      | sP2(X7,X5,X2,X1) ),
    inference(cnf_transformation,[],[f18_D]) ).

fof(f18_D,plain,
    ! [X1,X2,X5,X7] :
      ( ! [X0] :
          ( ~ sP1(X1,X0,X2,X7)
          | ~ quotient(X0,X2,X5) )
    <=> ~ sP2(X7,X5,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f17,plain,
    ! [X2,X0,X1,X7,X4,X5] :
      ( ~ quotient(X0,X2,X5)
      | ~ quotient(X1,X2,X4)
      | ~ sP0(X5,X4,X7)
      | ~ sP1(X1,X0,X2,X7) ),
    inference(general_splitting,[],[f15,f16_D]) ).

fof(f16,plain,
    ! [X2,X3,X0,X1,X7] :
      ( ~ quotient(X3,X2,X7)
      | ~ quotient(X0,X1,X3)
      | sP1(X1,X0,X2,X7) ),
    inference(cnf_transformation,[],[f16_D]) ).

fof(f16_D,plain,
    ! [X7,X2,X0,X1] :
      ( ! [X3] :
          ( ~ quotient(X3,X2,X7)
          | ~ quotient(X0,X1,X3) )
    <=> ~ sP1(X1,X0,X2,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f15,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ quotient(X3,X2,X7)
      | ~ quotient(X0,X2,X5)
      | ~ quotient(X1,X2,X4)
      | ~ quotient(X0,X1,X3)
      | ~ sP0(X5,X4,X7) ),
    inference(general_splitting,[],[f4,f14_D]) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1,X6,X7,X4,X5] :
      ( less_equal(X6,X7)
      | ~ quotient(X3,X2,X7)
      | ~ quotient(X5,X4,X6)
      | ~ quotient(X0,X2,X5)
      | ~ quotient(X1,X2,X4)
      | ~ quotient(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_property) ).

fof(f555,plain,
    sP2(zero,idQ__idQ_idQa,idQ_idQa,idQa),
    inference(forward_demodulation,[],[f553,f88]) ).

fof(f88,plain,
    idQ__idQ_idQa = divide(identity,idQ_idQa),
    inference(unit_resulting_resolution,[],[f8,f12,f9]) ).

fof(f9,axiom,
    ! [X2,X0,X1,X8] :
      ( ~ quotient(X0,X1,X8)
      | X2 = X8
      | ~ quotient(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',well_defined) ).

fof(f12,axiom,
    quotient(identity,idQ_idQa,idQ__idQ_idQa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQ_idQa) ).

fof(f553,plain,
    sP2(zero,divide(identity,idQ_idQa),idQ_idQa,idQa),
    inference(unit_resulting_resolution,[],[f8,f449,f18]) ).

fof(f449,plain,
    sP1(idQa,identity,idQ_idQa,zero),
    inference(superposition,[],[f195,f388]) ).

fof(f388,plain,
    zero = divide(idQ_idQa,idQ_idQa),
    inference(unit_resulting_resolution,[],[f5,f368,f6]) ).

fof(f368,plain,
    less_equal(divide(idQ_idQa,idQ_idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f366,f14]) ).

fof(f366,plain,
    ~ sP0(idQ_idQa,idQ_idQa,zero),
    inference(forward_demodulation,[],[f364,f85]) ).

fof(f85,plain,
    idQ_idQa = divide(identity,idQa),
    inference(unit_resulting_resolution,[],[f8,f11,f9]) ).

fof(f11,axiom,
    quotient(identity,idQa,idQ_idQa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_idQa) ).

fof(f364,plain,
    ~ sP0(idQ_idQa,divide(identity,idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f290,f19]) ).

fof(f290,plain,
    sP2(zero,idQ_idQa,idQa,identity),
    inference(unit_resulting_resolution,[],[f11,f205,f18]) ).

fof(f205,plain,
    ! [X0,X1] : sP1(identity,X0,X1,zero),
    inference(unit_resulting_resolution,[],[f21,f20,f16]) ).

fof(f20,plain,
    ! [X0] : quotient(zero,X0,zero),
    inference(unit_resulting_resolution,[],[f5,f1]) ).

fof(f1,axiom,
    ! [X0,X1] :
      ( ~ less_equal(X0,X1)
      | quotient(X0,X1,zero) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quotient_less_equal) ).

fof(f21,plain,
    ! [X0] : quotient(X0,identity,zero),
    inference(unit_resulting_resolution,[],[f7,f1]) ).

fof(f7,axiom,
    ! [X0] : less_equal(X0,identity),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_is_largest) ).

fof(f195,plain,
    ! [X0] : sP1(idQa,identity,X0,divide(idQ_idQa,X0)),
    inference(unit_resulting_resolution,[],[f11,f8,f16]) ).

fof(f5,axiom,
    ! [X0] : less_equal(zero,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',zero_is_smallest) ).

fof(f8,axiom,
    ! [X0,X1] : quotient(X0,X1,divide(X0,X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure) ).

fof(f1040,plain,
    ! [X0] : less_equal(divide(X0,idQ_idQa),idQ__idQ_idQa),
    inference(unit_resulting_resolution,[],[f1020,f2]) ).

fof(f1020,plain,
    ! [X0] : quotient(divide(X0,idQ_idQa),idQ__idQ_idQa,zero),
    inference(superposition,[],[f8,f857]) ).

fof(f857,plain,
    ! [X0] : zero = divide(divide(X0,idQ_idQa),idQ__idQ_idQa),
    inference(unit_resulting_resolution,[],[f5,f783,f6]) ).

fof(f783,plain,
    ! [X0] : less_equal(divide(divide(X0,idQ_idQa),idQ__idQ_idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f752,f14]) ).

fof(f752,plain,
    ! [X0] : ~ sP0(divide(X0,idQ_idQa),idQ__idQ_idQa,zero),
    inference(unit_resulting_resolution,[],[f12,f286,f19]) ).

fof(f286,plain,
    ! [X0,X1] : sP2(zero,divide(X0,X1),X1,identity),
    inference(unit_resulting_resolution,[],[f8,f205,f18]) ).

fof(f1797,plain,
    ( ~ less_equal(idQa,idQ__idQ_idQa)
    | idQa = divide(idQa,idQ_idQa) ),
    inference(superposition,[],[f52,f1774]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ less_equal(X0,divide(X0,X1))
      | divide(X0,X1) = X0 ),
    inference(resolution,[],[f6,f31]) ).

fof(f31,plain,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    inference(unit_resulting_resolution,[],[f8,f3]) ).

fof(f6798,plain,
    quotient(idQ__idQ_idQa,a,idQa),
    inference(superposition,[],[f8,f6761]) ).

fof(f6761,plain,
    idQa = divide(idQ__idQ_idQa,a),
    inference(unit_resulting_resolution,[],[f895,f6706,f6]) ).

fof(f6706,plain,
    less_equal(idQa,divide(idQ__idQ_idQa,a)),
    inference(unit_resulting_resolution,[],[f6678,f2]) ).

fof(f6678,plain,
    quotient(idQa,divide(idQ__idQ_idQa,a),zero),
    inference(superposition,[],[f8,f6663]) ).

fof(f6663,plain,
    zero = divide(idQa,divide(idQ__idQ_idQa,a)),
    inference(unit_resulting_resolution,[],[f5,f6576,f6]) ).

fof(f6576,plain,
    less_equal(divide(idQa,divide(idQ__idQ_idQa,a)),zero),
    inference(unit_resulting_resolution,[],[f8,f6573,f14]) ).

fof(f6573,plain,
    ~ sP0(idQa,divide(idQ__idQ_idQa,a),zero),
    inference(unit_resulting_resolution,[],[f8,f6572,f19]) ).

fof(f6572,plain,
    sP2(zero,idQa,a,idQ__idQ_idQa),
    inference(forward_demodulation,[],[f6570,f83]) ).

fof(f83,plain,
    idQa = divide(identity,a),
    inference(unit_resulting_resolution,[],[f8,f10,f9]) ).

fof(f10,axiom,
    quotient(identity,a,idQa),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity_divide_a) ).

fof(f6570,plain,
    sP2(zero,divide(identity,a),a,idQ__idQ_idQa),
    inference(unit_resulting_resolution,[],[f8,f6533,f18]) ).

fof(f6533,plain,
    sP1(idQ__idQ_idQa,identity,a,zero),
    inference(unit_resulting_resolution,[],[f8,f6501,f16]) ).

fof(f6501,plain,
    quotient(divide(identity,idQ__idQ_idQa),a,zero),
    inference(superposition,[],[f6406,f4809]) ).

fof(f4809,plain,
    divide(identity,idQ__idQ_idQa) = divide(idQ_idQa,idQ__idQ_idQa),
    inference(unit_resulting_resolution,[],[f4152,f4769,f6]) ).

fof(f4769,plain,
    less_equal(divide(identity,idQ__idQ_idQa),divide(idQ_idQa,idQ__idQ_idQa)),
    inference(unit_resulting_resolution,[],[f4741,f2]) ).

fof(f4741,plain,
    quotient(divide(identity,idQ__idQ_idQa),divide(idQ_idQa,idQ__idQ_idQa),zero),
    inference(superposition,[],[f8,f4718]) ).

fof(f4718,plain,
    zero = divide(divide(identity,idQ__idQ_idQa),divide(idQ_idQa,idQ__idQ_idQa)),
    inference(unit_resulting_resolution,[],[f5,f3152,f6]) ).

fof(f3152,plain,
    less_equal(divide(divide(identity,idQ__idQ_idQa),divide(idQ_idQa,idQ__idQ_idQa)),zero),
    inference(unit_resulting_resolution,[],[f8,f1449,f14]) ).

fof(f1449,plain,
    ~ sP0(divide(identity,idQ__idQ_idQa),divide(idQ_idQa,idQ__idQ_idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f560,f19]) ).

fof(f560,plain,
    sP2(zero,divide(identity,idQ__idQ_idQa),idQ__idQ_idQa,idQ_idQa),
    inference(unit_resulting_resolution,[],[f8,f497,f18]) ).

fof(f497,plain,
    sP1(idQ_idQa,identity,idQ__idQ_idQa,zero),
    inference(superposition,[],[f196,f395]) ).

fof(f395,plain,
    zero = divide(idQ__idQ_idQa,idQ__idQ_idQa),
    inference(unit_resulting_resolution,[],[f5,f377,f6]) ).

fof(f377,plain,
    less_equal(divide(idQ__idQ_idQa,idQ__idQ_idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f375,f14]) ).

fof(f375,plain,
    ~ sP0(idQ__idQ_idQa,idQ__idQ_idQa,zero),
    inference(forward_demodulation,[],[f373,f88]) ).

fof(f373,plain,
    ~ sP0(idQ__idQ_idQa,divide(identity,idQ_idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f291,f19]) ).

fof(f291,plain,
    sP2(zero,idQ__idQ_idQa,idQ_idQa,identity),
    inference(unit_resulting_resolution,[],[f12,f205,f18]) ).

fof(f196,plain,
    ! [X0] : sP1(idQ_idQa,identity,X0,divide(idQ__idQ_idQa,X0)),
    inference(unit_resulting_resolution,[],[f12,f8,f16]) ).

fof(f4152,plain,
    ! [X0,X1] : less_equal(divide(X0,X1),divide(identity,X1)),
    inference(unit_resulting_resolution,[],[f4113,f2]) ).

fof(f4113,plain,
    ! [X0,X1] : quotient(divide(X0,X1),divide(identity,X1),zero),
    inference(superposition,[],[f8,f3999]) ).

fof(f3999,plain,
    ! [X0,X1] : zero = divide(divide(X0,X1),divide(identity,X1)),
    inference(unit_resulting_resolution,[],[f5,f2683,f6]) ).

fof(f2683,plain,
    ! [X0,X1] : less_equal(divide(divide(X0,X1),divide(identity,X1)),zero),
    inference(unit_resulting_resolution,[],[f8,f753,f14]) ).

fof(f753,plain,
    ! [X0,X1] : ~ sP0(divide(X0,X1),divide(identity,X1),zero),
    inference(unit_resulting_resolution,[],[f8,f286,f19]) ).

fof(f6406,plain,
    ! [X0] : quotient(divide(idQ_idQa,X0),a,zero),
    inference(superposition,[],[f8,f6361]) ).

fof(f6361,plain,
    ! [X0] : zero = divide(divide(idQ_idQa,X0),a),
    inference(unit_resulting_resolution,[],[f5,f6302,f6]) ).

fof(f6302,plain,
    ! [X0] : less_equal(divide(divide(idQ_idQa,X0),a),zero),
    inference(unit_resulting_resolution,[],[f6258,f2]) ).

fof(f6258,plain,
    ! [X0] : quotient(divide(divide(idQ_idQa,X0),a),zero,zero),
    inference(superposition,[],[f8,f6072]) ).

fof(f6072,plain,
    ! [X0] : zero = divide(divide(divide(idQ_idQa,X0),a),zero),
    inference(unit_resulting_resolution,[],[f5,f3934,f6]) ).

fof(f3934,plain,
    ! [X0] : less_equal(divide(divide(divide(idQ_idQa,X0),a),zero),zero),
    inference(unit_resulting_resolution,[],[f8,f3839,f14]) ).

fof(f3839,plain,
    ! [X0] : ~ sP0(divide(divide(idQ_idQa,X0),a),zero,zero),
    inference(unit_resulting_resolution,[],[f1604,f284,f19]) ).

fof(f284,plain,
    ! [X2,X0,X1] : sP2(zero,divide(divide(X0,X1),X2),X2,X0),
    inference(unit_resulting_resolution,[],[f8,f207,f18]) ).

fof(f207,plain,
    ! [X2,X0,X1] : sP1(X0,divide(X0,X1),X2,zero),
    inference(unit_resulting_resolution,[],[f40,f20,f16]) ).

fof(f40,plain,
    ! [X0,X1] : quotient(divide(X0,X1),X0,zero),
    inference(unit_resulting_resolution,[],[f31,f1]) ).

fof(f1604,plain,
    quotient(idQ_idQa,a,zero),
    inference(superposition,[],[f40,f1586]) ).

fof(f1586,plain,
    idQ_idQa = divide(a,idQa),
    inference(unit_resulting_resolution,[],[f967,f1552,f6]) ).

fof(f1552,plain,
    less_equal(idQ_idQa,divide(a,idQa)),
    inference(unit_resulting_resolution,[],[f1538,f2]) ).

fof(f1538,plain,
    quotient(idQ_idQa,divide(a,idQa),zero),
    inference(superposition,[],[f8,f1523]) ).

fof(f1523,plain,
    zero = divide(idQ_idQa,divide(a,idQa)),
    inference(unit_resulting_resolution,[],[f5,f713,f6]) ).

fof(f713,plain,
    less_equal(divide(idQ_idQa,divide(a,idQa)),zero),
    inference(unit_resulting_resolution,[],[f8,f566,f14]) ).

fof(f566,plain,
    ~ sP0(idQ_idQa,divide(a,idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f547,f19]) ).

fof(f547,plain,
    sP2(zero,idQ_idQa,idQa,a),
    inference(forward_demodulation,[],[f545,f85]) ).

fof(f545,plain,
    sP2(zero,divide(identity,idQa),idQa,a),
    inference(unit_resulting_resolution,[],[f8,f401,f18]) ).

fof(f401,plain,
    sP1(a,identity,idQa,zero),
    inference(superposition,[],[f194,f381]) ).

fof(f381,plain,
    zero = divide(idQa,idQa),
    inference(unit_resulting_resolution,[],[f5,f361,f6]) ).

fof(f361,plain,
    less_equal(divide(idQa,idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f359,f14]) ).

fof(f359,plain,
    ~ sP0(idQa,idQa,zero),
    inference(forward_demodulation,[],[f357,f83]) ).

fof(f357,plain,
    ~ sP0(idQa,divide(identity,a),zero),
    inference(unit_resulting_resolution,[],[f8,f289,f19]) ).

fof(f289,plain,
    sP2(zero,idQa,a,identity),
    inference(unit_resulting_resolution,[],[f10,f205,f18]) ).

fof(f194,plain,
    ! [X0] : sP1(a,identity,X0,divide(idQa,X0)),
    inference(unit_resulting_resolution,[],[f10,f8,f16]) ).

fof(f967,plain,
    ! [X0] : less_equal(divide(X0,idQa),idQ_idQa),
    inference(unit_resulting_resolution,[],[f946,f2]) ).

fof(f946,plain,
    ! [X0] : quotient(divide(X0,idQa),idQ_idQa,zero),
    inference(superposition,[],[f8,f845]) ).

fof(f845,plain,
    ! [X0] : zero = divide(divide(X0,idQa),idQ_idQa),
    inference(unit_resulting_resolution,[],[f5,f775,f6]) ).

fof(f775,plain,
    ! [X0] : less_equal(divide(divide(X0,idQa),idQ_idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f751,f14]) ).

fof(f751,plain,
    ! [X0] : ~ sP0(divide(X0,idQa),idQ_idQa,zero),
    inference(unit_resulting_resolution,[],[f11,f286,f19]) ).

fof(f895,plain,
    ! [X0] : less_equal(divide(X0,a),idQa),
    inference(unit_resulting_resolution,[],[f874,f2]) ).

fof(f874,plain,
    ! [X0] : quotient(divide(X0,a),idQa,zero),
    inference(superposition,[],[f8,f834]) ).

fof(f834,plain,
    ! [X0] : zero = divide(divide(X0,a),idQa),
    inference(unit_resulting_resolution,[],[f5,f768,f6]) ).

fof(f768,plain,
    ! [X0] : less_equal(divide(divide(X0,a),idQa),zero),
    inference(unit_resulting_resolution,[],[f8,f750,f14]) ).

fof(f750,plain,
    ! [X0] : ~ sP0(divide(X0,a),idQa,zero),
    inference(unit_resulting_resolution,[],[f10,f286,f19]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.16  % Problem    : HEN009-1 : TPTP v8.2.0. Released v1.0.0.
% 0.18/0.18  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.19/0.41  % Computer : n005.cluster.edu
% 0.19/0.41  % Model    : x86_64 x86_64
% 0.19/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.41  % Memory   : 8042.1875MB
% 0.19/0.41  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.19/0.41  % CPULimit   : 300
% 0.19/0.41  % WCLimit    : 300
% 0.19/0.41  % DateTime   : Sun May 19 22:53:23 EDT 2024
% 0.19/0.41  % CPUTime    : 
% 0.19/0.42  % (8339)Running in auto input_syntax mode. Trying TPTP
% 0.27/0.43  % (8342)WARNING: value z3 for option sas not known
% 0.27/0.43  % (8345)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.27/0.43  % (8343)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.27/0.43  % (8344)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.27/0.43  % (8340)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.27/0.43  % (8341)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.27/0.43  TRYING [1]
% 0.27/0.43  TRYING [2]
% 0.27/0.43  % (8342)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.27/0.43  TRYING [3]
% 0.27/0.44  % (8346)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.27/0.44  TRYING [1]
% 0.27/0.44  TRYING [2]
% 0.27/0.44  TRYING [4]
% 0.27/0.44  TRYING [3]
% 0.27/0.45  TRYING [5]
% 0.27/0.45  TRYING [4]
% 0.27/0.47  TRYING [6]
% 0.27/0.51  TRYING [5]
% 0.27/0.51  TRYING [7]
% 0.27/0.53  % (8346)First to succeed.
% 0.27/0.53  % (8346)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-8339"
% 0.27/0.54  % (8346)Refutation found. Thanks to Tanya!
% 0.27/0.54  % SZS status Unsatisfiable for theBenchmark
% 0.27/0.54  % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.54  % (8346)------------------------------
% 0.27/0.54  % (8346)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.27/0.54  % (8346)Termination reason: Refutation
% 0.27/0.54  
% 0.27/0.54  % (8346)Memory used [KB]: 1634
% 0.27/0.54  % (8346)Time elapsed: 0.099 s
% 0.27/0.54  % (8346)Instructions burned: 154 (million)
% 0.27/0.54  % (8339)Success in time 0.12 s
%------------------------------------------------------------------------------