TSTP Solution File: HEN011-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : HEN011-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %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  : 300s
% DateTime : Tue Apr 30 12:10:11 EDT 2024

% Result   : Unsatisfiable 23.03s 3.65s
% Output   : Refutation 23.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   89 (  56 unt;   0 def)
%            Number of atoms       :  160 (  11 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  158 (  87   ~;  64   |;   0   &)
%                                         (   7 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   11 (   9 usr;   1 prp; 0-4 aty)
%            Number of functors    :   11 (  11 usr;  10 con; 0-2 aty)
%            Number of variables   :  150 ( 150   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f514091,plain,
    $false,
    inference(unit_resulting_resolution,[],[f12323,f64245,f7681]) ).

fof(f7681,plain,
    ! [X2,X0,X1] :
      ( sP5(X0,X1,X2)
      | less_equal(divide(X0,X1),X2) ),
    inference(resolution,[],[f37,f8]) ).

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

fof(f37,plain,
    ! [X6,X7,X4,X5] :
      ( ~ quotient(X5,X4,X6)
      | less_equal(X6,X7)
      | sP5(X5,X4,X7) ),
    inference(cnf_transformation,[],[f37_D]) ).

fof(f37_D,plain,
    ! [X7,X4,X5] :
      ( ! [X6] :
          ( ~ quotient(X5,X4,X6)
          | less_equal(X6,X7) )
    <=> ~ sP5(X5,X4,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP5])]) ).

fof(f64245,plain,
    ! [X0] : ~ less_equal(divide(idQa,divide(idQ_idQb,X0)),idQb_Q__idQ_idQa),
    inference(unit_resulting_resolution,[],[f7727,f64108,f14]) ).

fof(f14,axiom,
    ! [X2,X0,X1] :
      ( ~ less_equal(X0,X1)
      | ~ less_equal(X1,X2)
      | less_equal(X0,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_less_equal) ).

fof(f64108,plain,
    ~ less_equal(idQa_Q__idQ_idQb,idQb_Q__idQ_idQa),
    inference(unit_resulting_resolution,[],[f26,f64102,f6]) ).

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

fof(f64102,plain,
    less_equal(idQb_Q__idQ_idQa,idQa_Q__idQ_idQb),
    inference(unit_resulting_resolution,[],[f8,f63616,f28]) ).

fof(f28,plain,
    ! [X10,X0,X1,X9] :
      ( ~ sP0(X10,X0,X9)
      | ~ quotient(X0,X1,X9)
      | less_equal(X10,X1) ),
    inference(general_splitting,[],[f15,f27_D]) ).

fof(f27,plain,
    ! [X2,X10,X0,X9] :
      ( ~ quotient(X0,X2,X10)
      | ~ less_equal(X9,X2)
      | sP0(X10,X0,X9) ),
    inference(cnf_transformation,[],[f27_D]) ).

fof(f27_D,plain,
    ! [X9,X0,X10] :
      ( ! [X2] :
          ( ~ quotient(X0,X2,X10)
          | ~ less_equal(X9,X2) )
    <=> ~ sP0(X10,X0,X9) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).

fof(f15,axiom,
    ! [X2,X10,X0,X1,X9] :
      ( ~ less_equal(X9,X2)
      | less_equal(X10,X1)
      | ~ quotient(X0,X2,X10)
      | ~ quotient(X0,X1,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xQyLEz_implies_xQzLEy) ).

fof(f63616,plain,
    sP0(idQb_Q__idQ_idQa,idQb,divide(idQb,idQa_Q__idQ_idQb)),
    inference(unit_resulting_resolution,[],[f25,f63480,f27]) ).

fof(f63480,plain,
    less_equal(divide(idQb,idQa_Q__idQ_idQb),idQ_idQa),
    inference(forward_demodulation,[],[f63426,f9363]) ).

fof(f9363,plain,
    idQ_idQa = divide(idQ_idQa,idQb_Q__idQ_idQa),
    inference(unit_resulting_resolution,[],[f92,f8741,f6]) ).

fof(f8741,plain,
    less_equal(idQ_idQa,divide(idQ_idQa,idQb_Q__idQ_idQa)),
    inference(unit_resulting_resolution,[],[f8,f8718,f31]) ).

fof(f31,plain,
    ! [X2,X10,X0,X9] :
      ( ~ quotient(X2,X0,X10)
      | less_equal(X9,X10)
      | sP2(X2,X0,X9) ),
    inference(cnf_transformation,[],[f31_D]) ).

fof(f31_D,plain,
    ! [X9,X0,X2] :
      ( ! [X10] :
          ( ~ quotient(X2,X0,X10)
          | less_equal(X9,X10) )
    <=> ~ sP2(X2,X0,X9) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).

fof(f8718,plain,
    ~ sP2(idQ_idQa,idQb_Q__idQ_idQa,idQ_idQa),
    inference(unit_resulting_resolution,[],[f4121,f8640,f32]) ).

fof(f32,plain,
    ! [X2,X0,X1,X9] :
      ( ~ sP2(X2,X0,X9)
      | ~ quotient(X2,X1,X9)
      | ~ less_equal(X0,X1) ),
    inference(general_splitting,[],[f16,f31_D]) ).

fof(f16,axiom,
    ! [X2,X10,X0,X1,X9] :
      ( ~ less_equal(X0,X1)
      | less_equal(X9,X10)
      | ~ quotient(X2,X0,X10)
      | ~ quotient(X2,X1,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_zQyLEzQx) ).

fof(f8640,plain,
    quotient(idQ_idQa,idQa,idQ_idQa),
    inference(superposition,[],[f8,f8591]) ).

fof(f8591,plain,
    idQ_idQa = divide(idQ_idQa,idQa),
    inference(forward_demodulation,[],[f8543,f6984]) ).

fof(f6984,plain,
    idQa = divide(identity,idQ_idQa),
    inference(unit_resulting_resolution,[],[f1913,f6862,f6]) ).

fof(f6862,plain,
    less_equal(idQa,divide(identity,idQ_idQa)),
    inference(unit_resulting_resolution,[],[f8,f6161,f31]) ).

fof(f6161,plain,
    ~ sP2(identity,idQ_idQa,idQa),
    inference(unit_resulting_resolution,[],[f1578,f20,f32]) ).

fof(f20,axiom,
    quotient(identity,a,idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_a) ).

fof(f1578,plain,
    less_equal(idQ_idQa,a),
    inference(unit_resulting_resolution,[],[f20,f1364,f28]) ).

fof(f1364,plain,
    sP0(idQ_idQa,identity,idQa),
    inference(unit_resulting_resolution,[],[f80,f24,f27]) ).

fof(f24,axiom,
    quotient(identity,idQa,idQ_idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQa) ).

fof(f80,plain,
    ! [X0] : less_equal(X0,X0),
    inference(unit_resulting_resolution,[],[f12,f2]) ).

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

fof(f12,axiom,
    ! [X0] : quotient(X0,X0,zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',x_divide_x_is_zero) ).

fof(f1913,plain,
    less_equal(divide(identity,idQ_idQa),idQa),
    inference(unit_resulting_resolution,[],[f24,f1332,f28]) ).

fof(f1332,plain,
    ! [X0,X1] : sP0(divide(X0,X1),X0,X1),
    inference(unit_resulting_resolution,[],[f80,f8,f27]) ).

fof(f8543,plain,
    idQ_idQa = divide(idQ_idQa,divide(identity,idQ_idQa)),
    inference(unit_resulting_resolution,[],[f44,f8,f8,f34]) ).

fof(f34,plain,
    ! [X11,X12,X13] :
      ( ~ quotient(X11,X12,X13)
      | X11 = X13
      | ~ quotient(identity,X11,X12)
      | ~ sP3(X11) ),
    inference(general_splitting,[],[f19,f33_D]) ).

fof(f33,plain,
    ! [X0,X11] :
      ( ~ quotient(identity,X0,X11)
      | sP3(X11) ),
    inference(cnf_transformation,[],[f33_D]) ).

fof(f33_D,plain,
    ! [X11] :
      ( ! [X0] : ~ quotient(identity,X0,X11)
    <=> ~ sP3(X11) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP3])]) ).

fof(f19,axiom,
    ! [X0,X11,X12,X13] :
      ( X11 = X13
      | ~ quotient(X11,X12,X13)
      | ~ quotient(identity,X11,X12)
      | ~ quotient(identity,X0,X11) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',inversion_lemma) ).

fof(f44,plain,
    sP3(idQ_idQa),
    inference(unit_resulting_resolution,[],[f24,f33]) ).

fof(f4121,plain,
    less_equal(idQb_Q__idQ_idQa,idQa),
    inference(unit_resulting_resolution,[],[f1913,f3668,f14]) ).

fof(f3668,plain,
    less_equal(idQb_Q__idQ_idQa,divide(identity,idQ_idQa)),
    inference(unit_resulting_resolution,[],[f8,f3636,f29]) ).

fof(f29,plain,
    ! [X2,X10,X1,X9] :
      ( ~ quotient(X1,X2,X10)
      | less_equal(X9,X10)
      | sP1(X2,X9,X1) ),
    inference(cnf_transformation,[],[f29_D]) ).

fof(f29_D,plain,
    ! [X1,X9,X2] :
      ( ! [X10] :
          ( ~ quotient(X1,X2,X10)
          | less_equal(X9,X10) )
    <=> ~ sP1(X2,X9,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).

fof(f3636,plain,
    ~ sP1(idQ_idQa,idQb_Q__idQ_idQa,identity),
    inference(unit_resulting_resolution,[],[f7,f25,f30]) ).

fof(f30,plain,
    ! [X2,X0,X1,X9] :
      ( ~ sP1(X2,X9,X1)
      | ~ quotient(X0,X2,X9)
      | ~ less_equal(X0,X1) ),
    inference(general_splitting,[],[f17,f29_D]) ).

fof(f17,axiom,
    ! [X2,X10,X0,X1,X9] :
      ( ~ less_equal(X0,X1)
      | less_equal(X9,X10)
      | ~ quotient(X1,X2,X10)
      | ~ quotient(X0,X2,X9) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',xLEy_implies_xQzLEyQz) ).

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

fof(f92,plain,
    ! [X0,X1] : less_equal(divide(X0,X1),X0),
    inference(unit_resulting_resolution,[],[f8,f3]) ).

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

fof(f63426,plain,
    less_equal(divide(idQb,idQa_Q__idQ_idQb),divide(idQ_idQa,idQb_Q__idQ_idQa)),
    inference(unit_resulting_resolution,[],[f9397,f48537,f14]) ).

fof(f48537,plain,
    less_equal(divide(idQb,idQa_Q__idQ_idQb),divide(idQ_idQa,idQ_idQb)),
    inference(unit_resulting_resolution,[],[f8,f48536,f37]) ).

fof(f48536,plain,
    ~ sP5(idQb,idQa_Q__idQ_idQb,divide(idQ_idQa,idQ_idQb)),
    inference(forward_demodulation,[],[f48534,f457]) ).

fof(f457,plain,
    idQa_Q__idQ_idQb = divide(idQa,idQ_idQb),
    inference(unit_resulting_resolution,[],[f8,f23,f9]) ).

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

fof(f23,axiom,
    quotient(idQa,idQ_idQb,idQa_Q__idQ_idQb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQa_divide_idQ_idQb) ).

fof(f48534,plain,
    ~ sP5(idQb,divide(idQa,idQ_idQb),divide(idQ_idQa,idQ_idQb)),
    inference(unit_resulting_resolution,[],[f8,f14473,f42]) ).

fof(f42,plain,
    ! [X2,X1,X7,X4,X5] :
      ( ~ sP7(X7,X5,X2,X1)
      | ~ sP5(X5,X4,X7)
      | ~ quotient(X1,X2,X4) ),
    inference(general_splitting,[],[f40,f41_D]) ).

fof(f41,plain,
    ! [X2,X0,X1,X7,X5] :
      ( ~ sP6(X1,X0,X2,X7)
      | ~ quotient(X0,X2,X5)
      | sP7(X7,X5,X2,X1) ),
    inference(cnf_transformation,[],[f41_D]) ).

fof(f41_D,plain,
    ! [X1,X2,X5,X7] :
      ( ! [X0] :
          ( ~ sP6(X1,X0,X2,X7)
          | ~ quotient(X0,X2,X5) )
    <=> ~ sP7(X7,X5,X2,X1) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP7])]) ).

fof(f40,plain,
    ! [X2,X0,X1,X7,X4,X5] :
      ( ~ quotient(X0,X2,X5)
      | ~ quotient(X1,X2,X4)
      | ~ sP5(X5,X4,X7)
      | ~ sP6(X1,X0,X2,X7) ),
    inference(general_splitting,[],[f38,f39_D]) ).

fof(f39,plain,
    ! [X2,X3,X0,X1,X7] :
      ( ~ quotient(X3,X2,X7)
      | ~ quotient(X0,X1,X3)
      | sP6(X1,X0,X2,X7) ),
    inference(cnf_transformation,[],[f39_D]) ).

fof(f39_D,plain,
    ! [X7,X2,X0,X1] :
      ( ! [X3] :
          ( ~ quotient(X3,X2,X7)
          | ~ quotient(X0,X1,X3) )
    <=> ~ sP6(X1,X0,X2,X7) ),
    introduced(general_splitting_component_introduction,[new_symbols(naming,[sP6])]) ).

fof(f38,plain,
    ! [X2,X3,X0,X1,X7,X4,X5] :
      ( ~ quotient(X3,X2,X7)
      | ~ quotient(X0,X2,X5)
      | ~ quotient(X1,X2,X4)
      | ~ quotient(X0,X1,X3)
      | ~ sP5(X5,X4,X7) ),
    inference(general_splitting,[],[f4,f37_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/sandbox/benchmark/theBenchmark.p',quotient_property) ).

fof(f14473,plain,
    sP7(divide(idQ_idQa,idQ_idQb),idQb,idQ_idQb,idQa),
    inference(unit_resulting_resolution,[],[f7323,f10636,f41]) ).

fof(f10636,plain,
    ! [X0] : sP6(idQa,identity,X0,divide(idQ_idQa,X0)),
    inference(unit_resulting_resolution,[],[f24,f8,f39]) ).

fof(f7323,plain,
    quotient(identity,idQ_idQb,idQb),
    inference(superposition,[],[f8,f7044]) ).

fof(f7044,plain,
    idQb = divide(identity,idQ_idQb),
    inference(unit_resulting_resolution,[],[f1915,f6863,f6]) ).

fof(f6863,plain,
    less_equal(idQb,divide(identity,idQ_idQb)),
    inference(unit_resulting_resolution,[],[f8,f6190,f31]) ).

fof(f6190,plain,
    ~ sP2(identity,idQ_idQb,idQb),
    inference(unit_resulting_resolution,[],[f1579,f21,f32]) ).

fof(f21,axiom,
    quotient(identity,b,idQb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_b) ).

fof(f1579,plain,
    less_equal(idQ_idQb,b),
    inference(unit_resulting_resolution,[],[f21,f1378,f28]) ).

fof(f1378,plain,
    sP0(idQ_idQb,identity,idQb),
    inference(unit_resulting_resolution,[],[f80,f22,f27]) ).

fof(f22,axiom,
    quotient(identity,idQb,idQ_idQb),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_divide_idQb) ).

fof(f1915,plain,
    less_equal(divide(identity,idQ_idQb),idQb),
    inference(unit_resulting_resolution,[],[f22,f1332,f28]) ).

fof(f9397,plain,
    ! [X0] : less_equal(divide(idQ_idQa,X0),divide(idQ_idQa,idQb_Q__idQ_idQa)),
    inference(unit_resulting_resolution,[],[f8741,f184]) ).

fof(f184,plain,
    ! [X2,X0,X1] :
      ( ~ less_equal(X0,X1)
      | less_equal(divide(X0,X2),X1) ),
    inference(resolution,[],[f14,f92]) ).

fof(f25,axiom,
    quotient(idQb,idQ_idQa,idQb_Q__idQ_idQa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',idQb_divide_idQ_idQa) ).

fof(f26,axiom,
    idQa_Q__idQ_idQb != idQb_Q__idQ_idQa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_idQa_Q__idQ_idQb_equals_idQb_Q__idQ_idQa) ).

fof(f7727,plain,
    ! [X0] : less_equal(idQa_Q__idQ_idQb,divide(idQa,divide(idQ_idQb,X0))),
    inference(unit_resulting_resolution,[],[f8,f6639,f31]) ).

fof(f6639,plain,
    ! [X0] : ~ sP2(idQa,divide(idQ_idQb,X0),idQa_Q__idQ_idQb),
    inference(unit_resulting_resolution,[],[f92,f23,f32]) ).

fof(f12323,plain,
    ~ sP5(idQa,divide(idQ_idQb,idQ_idQa),idQb_Q__idQ_idQa),
    inference(unit_resulting_resolution,[],[f8,f11589,f42]) ).

fof(f11589,plain,
    sP7(idQb_Q__idQ_idQa,idQa,idQ_idQa,idQ_idQb),
    inference(forward_demodulation,[],[f11460,f6984]) ).

fof(f11460,plain,
    sP7(idQb_Q__idQ_idQa,divide(identity,idQ_idQa),idQ_idQa,idQ_idQb),
    inference(unit_resulting_resolution,[],[f8,f10787,f41]) ).

fof(f10787,plain,
    sP6(idQ_idQb,identity,idQ_idQa,idQb_Q__idQ_idQa),
    inference(unit_resulting_resolution,[],[f7323,f25,f39]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : HEN011-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n025.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Mon Apr 29 22:21:26 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (18994)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (18997)WARNING: value z3 for option sas not known
% 0.15/0.38  % (18995)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (18996)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38  % (18998)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (18999)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)
% 0.15/0.38  % (19001)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)
% 0.15/0.38  % (18997)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)
% 0.15/0.38  % (19002)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)
% 0.15/0.38  TRYING [1]
% 0.15/0.38  TRYING [2]
% 0.15/0.38  TRYING [3]
% 0.15/0.39  TRYING [1]
% 0.15/0.39  TRYING [2]
% 0.15/0.39  TRYING [4]
% 0.15/0.39  TRYING [3]
% 0.15/0.40  TRYING [5]
% 0.15/0.42  TRYING [4]
% 0.21/0.43  TRYING [6]
% 0.21/0.49  TRYING [7]
% 0.21/0.49  TRYING [5]
% 1.54/0.58  TRYING [8]
% 2.55/0.74  TRYING [6]
% 2.55/0.75  TRYING [9]
% 4.65/1.05  TRYING [10]
% 4.65/1.07  TRYING [7]
% 7.92/1.48  TRYING [1]
% 7.92/1.48  TRYING [2]
% 7.92/1.48  TRYING [3]
% 7.92/1.48  TRYING [4]
% 7.92/1.49  TRYING [5]
% 8.13/1.52  TRYING [6]
% 8.31/1.58  TRYING [11]
% 8.31/1.59  TRYING [7]
% 9.54/1.76  TRYING [8]
% 9.54/1.77  TRYING [8]
% 12.36/2.16  TRYING [9]
% 15.91/2.62  TRYING [12]
% 17.14/2.88  TRYING [10]
% 18.63/3.01  TRYING [9]
% 23.03/3.64  % (19002)First to succeed.
% 23.03/3.65  % (19002)Refutation found. Thanks to Tanya!
% 23.03/3.65  % SZS status Unsatisfiable for theBenchmark
% 23.03/3.65  % SZS output start Proof for theBenchmark
% See solution above
% 23.03/3.65  % (19002)------------------------------
% 23.03/3.65  % (19002)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 23.03/3.65  % (19002)Termination reason: Refutation
% 23.03/3.65  
% 23.03/3.65  % (19002)Memory used [KB]: 51100
% 23.03/3.65  % (19002)Time elapsed: 3.267 s
% 23.03/3.65  % (19002)Instructions burned: 11151 (million)
% 23.03/3.65  % (19002)------------------------------
% 23.03/3.65  % (19002)------------------------------
% 23.03/3.65  % (18994)Success in time 3.212 s
%------------------------------------------------------------------------------