TSTP Solution File: KLE102+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE102+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n023.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 : Thu Aug 31 05:36:49 EDT 2023

% Result   : Theorem 20.71s 3.33s
% Output   : Refutation 20.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   73
%            Number of leaves      :   38
% Syntax   : Number of formulae    :  264 ( 258 unt;   0 def)
%            Number of atoms       :  272 ( 271 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   18 (  10   ~;   0   |;   4   &)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   2 avg)
%            Maximal term depth    :    9 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   29 (  29 usr;  21 con; 0-2 aty)
%            Number of variables   :  185 (; 179   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f195837,plain,
    $false,
    inference(trivial_inequality_removal,[],[f194127]) ).

fof(f194127,plain,
    zero != zero,
    inference(backward_demodulation,[],[f93,f194125]) ).

fof(f194125,plain,
    zero = sF12,
    inference(forward_demodulation,[],[f194124,f134512]) ).

fof(f134512,plain,
    zero = multiplication(sF10,sF12),
    inference(backward_demodulation,[],[f26502,f134472]) ).

fof(f134472,plain,
    sF10 = antidomain(sF11),
    inference(forward_demodulation,[],[f133670,f14229]) ).

fof(f14229,plain,
    antidomain(sF11) = multiplication(antidomain(sF11),sF10),
    inference(forward_demodulation,[],[f14096,f53]) ).

fof(f53,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',multiplicative_right_identity) ).

fof(f14096,plain,
    multiplication(antidomain(sF11),one) = multiplication(antidomain(sF11),sF10),
    inference(superposition,[],[f490,f165]) ).

fof(f165,plain,
    one = addition(sF10,sF11),
    inference(forward_demodulation,[],[f164,f91]) ).

fof(f91,plain,
    antidomain(sF10) = sF11,
    introduced(function_definition,[]) ).

fof(f164,plain,
    one = addition(sF10,antidomain(sF10)),
    inference(forward_demodulation,[],[f150,f63]) ).

fof(f63,plain,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f1,axiom,
    ! [X0,X1] : addition(X0,X1) = addition(X1,X0),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',additive_commutativity) ).

fof(f150,plain,
    one = addition(antidomain(sF10),sF10),
    inference(superposition,[],[f62,f90]) ).

fof(f90,plain,
    antidomain(sK2) = sF10,
    introduced(function_definition,[]) ).

fof(f62,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f36]) ).

fof(f36,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(antidomain(antidomain(X3)),antidomain(X3)),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',domain3) ).

fof(f490,plain,
    ! [X14,X15] : multiplication(antidomain(X14),X15) = multiplication(antidomain(X14),addition(X15,X14)),
    inference(forward_demodulation,[],[f413,f52]) ).

fof(f52,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',additive_identity) ).

fof(f413,plain,
    ! [X14,X15] : multiplication(antidomain(X14),addition(X15,X14)) = addition(multiplication(antidomain(X14),X15),zero),
    inference(superposition,[],[f73,f57]) ).

fof(f57,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f31]) ).

fof(f31,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',domain1) ).

fof(f73,plain,
    ! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    inference(cnf_transformation,[],[f8]) ).

fof(f8,axiom,
    ! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',right_distributivity) ).

fof(f133670,plain,
    sF10 = multiplication(antidomain(sF11),sF10),
    inference(superposition,[],[f6395,f91]) ).

fof(f6395,plain,
    ! [X1] : multiplication(antidomain(antidomain(X1)),X1) = X1,
    inference(forward_demodulation,[],[f6357,f54]) ).

fof(f54,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',multiplicative_left_identity) ).

fof(f6357,plain,
    ! [X1] : multiplication(one,X1) = multiplication(antidomain(antidomain(X1)),X1),
    inference(superposition,[],[f766,f157]) ).

fof(f157,plain,
    ! [X1] : one = addition(antidomain(X1),antidomain(antidomain(X1))),
    inference(superposition,[],[f62,f63]) ).

fof(f766,plain,
    ! [X14,X15] : multiplication(addition(antidomain(X14),X15),X14) = multiplication(X15,X14),
    inference(forward_demodulation,[],[f666,f120]) ).

fof(f120,plain,
    ! [X0] : addition(zero,X0) = X0,
    inference(superposition,[],[f63,f52]) ).

fof(f666,plain,
    ! [X14,X15] : multiplication(addition(antidomain(X14),X15),X14) = addition(zero,multiplication(X15,X14)),
    inference(superposition,[],[f74,f57]) ).

fof(f74,plain,
    ! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    inference(cnf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',left_distributivity) ).

fof(f26502,plain,
    zero = multiplication(antidomain(sF11),sF12),
    inference(forward_demodulation,[],[f26496,f57]) ).

fof(f26496,plain,
    multiplication(antidomain(sF11),sF11) = multiplication(antidomain(sF11),sF12),
    inference(superposition,[],[f456,f26202]) ).

fof(f26202,plain,
    sF11 = addition(sF11,sF12),
    inference(forward_demodulation,[],[f26201,f21261]) ).

fof(f21261,plain,
    ! [X24] : addition(X24,multiplication(sF9,X24)) = X24,
    inference(forward_demodulation,[],[f21013,f54]) ).

fof(f21013,plain,
    ! [X24] : multiplication(one,X24) = addition(X24,multiplication(sF9,X24)),
    inference(superposition,[],[f665,f3136]) ).

fof(f3136,plain,
    one = addition(one,sF9),
    inference(forward_demodulation,[],[f2923,f63]) ).

fof(f2923,plain,
    one = addition(sF9,one),
    inference(superposition,[],[f176,f173]) ).

fof(f173,plain,
    one = addition(sF9,antidomain(sF9)),
    inference(forward_demodulation,[],[f155,f63]) ).

fof(f155,plain,
    one = addition(antidomain(sF9),sF9),
    inference(superposition,[],[f62,f89]) ).

fof(f89,plain,
    antidomain(sF8) = sF9,
    introduced(function_definition,[]) ).

fof(f176,plain,
    ! [X2,X3] : addition(X2,X3) = addition(X2,addition(X2,X3)),
    inference(superposition,[],[f71,f55]) ).

fof(f55,plain,
    ! [X0] : addition(X0,X0) = X0,
    inference(cnf_transformation,[],[f4]) ).

fof(f4,axiom,
    ! [X0] : addition(X0,X0) = X0,
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',additive_idempotence) ).

fof(f71,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(rectify,[],[f2]) ).

fof(f2,axiom,
    ! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',additive_associativity) ).

fof(f665,plain,
    ! [X12,X13] : multiplication(addition(one,X13),X12) = addition(X12,multiplication(X13,X12)),
    inference(superposition,[],[f74,f54]) ).

fof(f26201,plain,
    addition(sF11,multiplication(sF9,sF11)) = addition(sF11,sF12),
    inference(forward_demodulation,[],[f26200,f63]) ).

fof(f26200,plain,
    addition(sF11,multiplication(sF9,sF11)) = addition(sF12,sF11),
    inference(forward_demodulation,[],[f25599,f54]) ).

fof(f25599,plain,
    addition(sF11,multiplication(sF9,sF11)) = addition(sF12,multiplication(one,sF11)),
    inference(superposition,[],[f801,f690]) ).

fof(f690,plain,
    ! [X54] : multiplication(addition(sF9,X54),sF11) = addition(sF12,multiplication(X54,sF11)),
    inference(superposition,[],[f74,f92]) ).

fof(f92,plain,
    multiplication(sF9,sF11) = sF12,
    introduced(function_definition,[]) ).

fof(f801,plain,
    ! [X12,X13] : addition(X12,multiplication(X13,X12)) = multiplication(addition(X13,one),X12),
    inference(forward_demodulation,[],[f710,f63]) ).

fof(f710,plain,
    ! [X12,X13] : multiplication(addition(X13,one),X12) = addition(multiplication(X13,X12),X12),
    inference(superposition,[],[f74,f54]) ).

fof(f456,plain,
    ! [X14,X15] : multiplication(antidomain(X14),addition(X14,X15)) = multiplication(antidomain(X14),X15),
    inference(forward_demodulation,[],[f379,f120]) ).

fof(f379,plain,
    ! [X14,X15] : multiplication(antidomain(X14),addition(X14,X15)) = addition(zero,multiplication(antidomain(X14),X15)),
    inference(superposition,[],[f73,f57]) ).

fof(f194124,plain,
    sF12 = multiplication(sF10,sF12),
    inference(forward_demodulation,[],[f194084,f54]) ).

fof(f194084,plain,
    multiplication(sF10,sF12) = multiplication(one,sF12),
    inference(superposition,[],[f161978,f165]) ).

fof(f161978,plain,
    ! [X3] : multiplication(X3,sF12) = multiplication(addition(X3,sF11),sF12),
    inference(forward_demodulation,[],[f161940,f52]) ).

fof(f161940,plain,
    ! [X3] : addition(multiplication(X3,sF12),zero) = multiplication(addition(X3,sF11),sF12),
    inference(superposition,[],[f74,f161491]) ).

fof(f161491,plain,
    zero = multiplication(sF11,sF12),
    inference(superposition,[],[f159944,f92]) ).

fof(f159944,plain,
    ! [X3] : zero = multiplication(sF11,multiplication(sF9,X3)),
    inference(forward_demodulation,[],[f159943,f72]) ).

fof(f72,plain,
    ! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    inference(cnf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',multiplicative_associativity) ).

fof(f159943,plain,
    ! [X3] : zero = multiplication(multiplication(sF11,sF9),X3),
    inference(forward_demodulation,[],[f159862,f54]) ).

fof(f159862,plain,
    ! [X3] : zero = multiplication(one,multiplication(multiplication(sF11,sF9),X3)),
    inference(superposition,[],[f276,f159545]) ).

fof(f159545,plain,
    one = antidomain(multiplication(sF11,sF9)),
    inference(forward_demodulation,[],[f159544,f2968]) ).

fof(f2968,plain,
    ! [X19] : one = addition(one,antidomain(X19)),
    inference(forward_demodulation,[],[f2902,f63]) ).

fof(f2902,plain,
    ! [X19] : one = addition(antidomain(X19),one),
    inference(superposition,[],[f176,f157]) ).

fof(f159544,plain,
    antidomain(multiplication(sF11,sF9)) = addition(one,antidomain(multiplication(sF11,sF9))),
    inference(forward_demodulation,[],[f159508,f161]) ).

fof(f161,plain,
    one = antidomain(zero),
    inference(forward_demodulation,[],[f148,f52]) ).

fof(f148,plain,
    one = addition(antidomain(zero),zero),
    inference(superposition,[],[f62,f116]) ).

fof(f116,plain,
    zero = antidomain(one),
    inference(superposition,[],[f57,f53]) ).

fof(f159508,plain,
    antidomain(multiplication(sF11,sF9)) = addition(antidomain(zero),antidomain(multiplication(sF11,sF9))),
    inference(superposition,[],[f1493,f159331]) ).

fof(f159331,plain,
    zero = multiplication(sF11,sF7),
    inference(superposition,[],[f285,f159287]) ).

fof(f159287,plain,
    sF7 = multiplication(sF13,sF7),
    inference(forward_demodulation,[],[f159247,f54]) ).

fof(f159247,plain,
    multiplication(one,sF7) = multiplication(sF13,sF7),
    inference(superposition,[],[f125277,f139]) ).

fof(f139,plain,
    one = addition(sF13,sF14),
    inference(forward_demodulation,[],[f138,f95]) ).

fof(f95,plain,
    coantidomain(sF13) = sF14,
    introduced(function_definition,[]) ).

fof(f138,plain,
    one = addition(sF13,coantidomain(sF13)),
    inference(forward_demodulation,[],[f129,f63]) ).

fof(f129,plain,
    one = addition(coantidomain(sF13),sF13),
    inference(superposition,[],[f61,f94]) ).

fof(f94,plain,
    coantidomain(sF11) = sF13,
    introduced(function_definition,[]) ).

fof(f61,plain,
    ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
    inference(cnf_transformation,[],[f35]) ).

fof(f35,plain,
    ! [X0] : one = addition(coantidomain(coantidomain(X0)),coantidomain(X0)),
    inference(rectify,[],[f19]) ).

fof(f19,axiom,
    ! [X3] : one = addition(coantidomain(coantidomain(X3)),coantidomain(X3)),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',codomain3) ).

fof(f125277,plain,
    ! [X3] : multiplication(X3,sF7) = multiplication(addition(X3,sF14),sF7),
    inference(forward_demodulation,[],[f125224,f52]) ).

fof(f125224,plain,
    ! [X3] : addition(multiplication(X3,sF7),zero) = multiplication(addition(X3,sF14),sF7),
    inference(superposition,[],[f74,f124703]) ).

fof(f124703,plain,
    zero = multiplication(sF14,sF7),
    inference(forward_demodulation,[],[f124449,f16478]) ).

fof(f16478,plain,
    multiplication(sF14,sF7) = multiplication(sF15,sF4),
    inference(backward_demodulation,[],[f3899,f16289]) ).

fof(f16289,plain,
    sF4 = sF6,
    inference(forward_demodulation,[],[f15801,f84]) ).

fof(f84,plain,
    antidomain(sF3) = sF4,
    introduced(function_definition,[]) ).

fof(f15801,plain,
    antidomain(sF3) = sF6,
    inference(backward_demodulation,[],[f86,f15799]) ).

fof(f15799,plain,
    sF3 = sF5,
    inference(forward_demodulation,[],[f15798,f12621]) ).

fof(f12621,plain,
    sF5 = multiplication(sF5,sF3),
    inference(forward_demodulation,[],[f12610,f1706]) ).

fof(f1706,plain,
    sF5 = addition(sF17,multiplication(sF5,sF16)),
    inference(forward_demodulation,[],[f1694,f53]) ).

fof(f1694,plain,
    multiplication(sF5,one) = addition(sF17,multiplication(sF5,sF16)),
    inference(superposition,[],[f879,f142]) ).

fof(f142,plain,
    one = addition(sF16,sF17),
    inference(forward_demodulation,[],[f141,f98]) ).

fof(f98,plain,
    coantidomain(sF16) = sF17,
    introduced(function_definition,[]) ).

fof(f141,plain,
    one = addition(sF16,coantidomain(sF16)),
    inference(forward_demodulation,[],[f131,f63]) ).

fof(f131,plain,
    one = addition(coantidomain(sF16),sF16),
    inference(superposition,[],[f61,f97]) ).

fof(f97,plain,
    coantidomain(sF15) = sF16,
    introduced(function_definition,[]) ).

fof(f879,plain,
    ! [X2] : multiplication(sF5,addition(X2,sF17)) = addition(sF17,multiplication(sF5,X2)),
    inference(forward_demodulation,[],[f875,f63]) ).

fof(f875,plain,
    ! [X2] : multiplication(sF5,addition(X2,sF17)) = addition(multiplication(sF5,X2),sF17),
    inference(superposition,[],[f73,f864]) ).

fof(f864,plain,
    sF17 = multiplication(sF5,sF17),
    inference(forward_demodulation,[],[f855,f54]) ).

fof(f855,plain,
    multiplication(sF5,sF17) = multiplication(one,sF17),
    inference(superposition,[],[f774,f167]) ).

fof(f167,plain,
    one = addition(sF4,sF5),
    inference(forward_demodulation,[],[f166,f85]) ).

fof(f85,plain,
    antidomain(sF4) = sF5,
    introduced(function_definition,[]) ).

fof(f166,plain,
    one = addition(sF4,antidomain(sF4)),
    inference(forward_demodulation,[],[f151,f63]) ).

fof(f151,plain,
    one = addition(antidomain(sF4),sF4),
    inference(superposition,[],[f62,f84]) ).

fof(f774,plain,
    ! [X44] : multiplication(addition(sF4,X44),sF17) = multiplication(X44,sF17),
    inference(forward_demodulation,[],[f683,f120]) ).

fof(f683,plain,
    ! [X44] : multiplication(addition(sF4,X44),sF17) = addition(zero,multiplication(X44,sF17)),
    inference(superposition,[],[f74,f101]) ).

fof(f101,plain,
    zero = multiplication(sF4,sF17),
    inference(backward_demodulation,[],[f99,f100]) ).

fof(f100,plain,
    zero = sF18,
    inference(definition_folding,[],[f82,f99,f98,f97,f96,f95,f94,f91,f90,f84,f83]) ).

fof(f83,plain,
    antidomain(sK1) = sF3,
    introduced(function_definition,[]) ).

fof(f96,plain,
    multiplication(sF14,sK0) = sF15,
    introduced(function_definition,[]) ).

fof(f82,plain,
    zero = multiplication(antidomain(antidomain(sK1)),coantidomain(coantidomain(multiplication(coantidomain(coantidomain(antidomain(antidomain(sK2)))),sK0)))),
    inference(definition_unfolding,[],[f48,f60,f76,f60]) ).

fof(f76,plain,
    ! [X0,X1] : backward_diamond(X0,X1) = coantidomain(coantidomain(multiplication(coantidomain(coantidomain(X1)),X0))),
    inference(definition_unfolding,[],[f67,f59,f59]) ).

fof(f59,plain,
    ! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
    inference(cnf_transformation,[],[f33]) ).

fof(f33,plain,
    ! [X0] : coantidomain(coantidomain(X0)) = codomain(X0),
    inference(rectify,[],[f20]) ).

fof(f20,axiom,
    ! [X3] : coantidomain(coantidomain(X3)) = codomain(X3),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',codomain4) ).

fof(f67,plain,
    ! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
    inference(cnf_transformation,[],[f40]) ).

fof(f40,plain,
    ! [X0,X1] : backward_diamond(X0,X1) = codomain(multiplication(codomain(X1),X0)),
    inference(rectify,[],[f24]) ).

fof(f24,axiom,
    ! [X3,X4] : backward_diamond(X3,X4) = codomain(multiplication(codomain(X4),X3)),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',backward_diamond) ).

fof(f60,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(cnf_transformation,[],[f34]) ).

fof(f34,plain,
    ! [X0] : domain(X0) = antidomain(antidomain(X0)),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',domain4) ).

fof(f48,plain,
    zero = multiplication(domain(sK1),backward_diamond(sK0,domain(sK2))),
    inference(cnf_transformation,[],[f47]) ).

fof(f47,plain,
    ( zero != multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2))
    & zero = multiplication(domain(sK1),backward_diamond(sK0,domain(sK2))) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f45,f46]) ).

fof(f46,plain,
    ( ? [X0,X1,X2] :
        ( zero != multiplication(forward_diamond(X0,domain(X1)),domain(X2))
        & zero = multiplication(domain(X1),backward_diamond(X0,domain(X2))) )
   => ( zero != multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2))
      & zero = multiplication(domain(sK1),backward_diamond(sK0,domain(sK2))) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,plain,
    ? [X0,X1,X2] :
      ( zero != multiplication(forward_diamond(X0,domain(X1)),domain(X2))
      & zero = multiplication(domain(X1),backward_diamond(X0,domain(X2))) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,plain,
    ~ ! [X0,X1,X2] :
        ( zero = multiplication(domain(X1),backward_diamond(X0,domain(X2)))
       => zero = multiplication(forward_diamond(X0,domain(X1)),domain(X2)) ),
    inference(rectify,[],[f28]) ).

fof(f28,negated_conjecture,
    ~ ! [X3,X4,X5] :
        ( zero = multiplication(domain(X4),backward_diamond(X3,domain(X5)))
       => zero = multiplication(forward_diamond(X3,domain(X4)),domain(X5)) ),
    inference(negated_conjecture,[],[f27]) ).

fof(f27,conjecture,
    ! [X3,X4,X5] :
      ( zero = multiplication(domain(X4),backward_diamond(X3,domain(X5)))
     => zero = multiplication(forward_diamond(X3,domain(X4)),domain(X5)) ),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',goals) ).

fof(f99,plain,
    multiplication(sF4,sF17) = sF18,
    introduced(function_definition,[]) ).

fof(f12610,plain,
    addition(sF17,multiplication(sF5,sF16)) = multiplication(sF5,sF3),
    inference(backward_demodulation,[],[f1900,f12609]) ).

fof(f12609,plain,
    multiplication(sF5,sF16) = multiplication(sF5,multiplication(sF3,sF16)),
    inference(forward_demodulation,[],[f12334,f85]) ).

fof(f12334,plain,
    multiplication(antidomain(sF4),sF16) = multiplication(antidomain(sF4),multiplication(sF3,sF16)),
    inference(superposition,[],[f456,f1547]) ).

fof(f1547,plain,
    sF16 = addition(sF4,multiplication(sF3,sF16)),
    inference(forward_demodulation,[],[f1536,f54]) ).

fof(f1536,plain,
    multiplication(one,sF16) = addition(sF4,multiplication(sF3,sF16)),
    inference(superposition,[],[f826,f163]) ).

fof(f163,plain,
    one = addition(sF3,sF4),
    inference(forward_demodulation,[],[f162,f84]) ).

fof(f162,plain,
    one = addition(sF3,antidomain(sF3)),
    inference(forward_demodulation,[],[f149,f63]) ).

fof(f149,plain,
    one = addition(antidomain(sF3),sF3),
    inference(superposition,[],[f62,f83]) ).

fof(f826,plain,
    ! [X43] : addition(sF4,multiplication(X43,sF16)) = multiplication(addition(X43,sF4),sF16),
    inference(forward_demodulation,[],[f727,f63]) ).

fof(f727,plain,
    ! [X43] : multiplication(addition(X43,sF4),sF16) = addition(multiplication(X43,sF16),sF4),
    inference(superposition,[],[f74,f551]) ).

fof(f551,plain,
    sF4 = multiplication(sF4,sF16),
    inference(forward_demodulation,[],[f545,f53]) ).

fof(f545,plain,
    multiplication(sF4,one) = multiplication(sF4,sF16),
    inference(superposition,[],[f494,f142]) ).

fof(f494,plain,
    ! [X20] : multiplication(sF4,X20) = multiplication(sF4,addition(X20,sF17)),
    inference(forward_demodulation,[],[f417,f52]) ).

fof(f417,plain,
    ! [X20] : multiplication(sF4,addition(X20,sF17)) = addition(multiplication(sF4,X20),zero),
    inference(superposition,[],[f73,f101]) ).

fof(f1900,plain,
    multiplication(sF5,sF3) = addition(sF17,multiplication(sF5,multiplication(sF3,sF16))),
    inference(superposition,[],[f876,f1887]) ).

fof(f1887,plain,
    sF3 = addition(sF17,multiplication(sF3,sF16)),
    inference(forward_demodulation,[],[f1875,f53]) ).

fof(f1875,plain,
    multiplication(sF3,one) = addition(sF17,multiplication(sF3,sF16)),
    inference(superposition,[],[f929,f142]) ).

fof(f929,plain,
    ! [X2] : multiplication(sF3,addition(X2,sF17)) = addition(sF17,multiplication(sF3,X2)),
    inference(forward_demodulation,[],[f925,f63]) ).

fof(f925,plain,
    ! [X2] : multiplication(sF3,addition(X2,sF17)) = addition(multiplication(sF3,X2),sF17),
    inference(superposition,[],[f73,f915]) ).

fof(f915,plain,
    sF17 = multiplication(sF3,sF17),
    inference(forward_demodulation,[],[f908,f54]) ).

fof(f908,plain,
    multiplication(one,sF17) = multiplication(sF3,sF17),
    inference(superposition,[],[f827,f163]) ).

fof(f827,plain,
    ! [X44] : multiplication(X44,sF17) = multiplication(addition(X44,sF4),sF17),
    inference(forward_demodulation,[],[f728,f52]) ).

fof(f728,plain,
    ! [X44] : multiplication(addition(X44,sF4),sF17) = addition(multiplication(X44,sF17),zero),
    inference(superposition,[],[f74,f101]) ).

fof(f876,plain,
    ! [X3] : multiplication(sF5,addition(sF17,X3)) = addition(sF17,multiplication(sF5,X3)),
    inference(superposition,[],[f73,f864]) ).

fof(f15798,plain,
    sF3 = multiplication(sF5,sF3),
    inference(forward_demodulation,[],[f15783,f54]) ).

fof(f15783,plain,
    multiplication(sF5,sF3) = multiplication(one,sF3),
    inference(superposition,[],[f12833,f169]) ).

fof(f169,plain,
    one = addition(sF5,sF6),
    inference(forward_demodulation,[],[f168,f86]) ).

fof(f168,plain,
    one = addition(sF5,antidomain(sF5)),
    inference(forward_demodulation,[],[f152,f63]) ).

fof(f152,plain,
    one = addition(antidomain(sF5),sF5),
    inference(superposition,[],[f62,f85]) ).

fof(f12833,plain,
    ! [X3] : multiplication(X3,sF3) = multiplication(addition(X3,sF6),sF3),
    inference(forward_demodulation,[],[f12802,f52]) ).

fof(f12802,plain,
    ! [X3] : multiplication(addition(X3,sF6),sF3) = addition(multiplication(X3,sF3),zero),
    inference(superposition,[],[f74,f12674]) ).

fof(f12674,plain,
    zero = multiplication(sF6,sF3),
    inference(forward_demodulation,[],[f12673,f112]) ).

fof(f112,plain,
    zero = multiplication(sF6,sF5),
    inference(superposition,[],[f57,f86]) ).

fof(f12673,plain,
    multiplication(sF6,sF5) = multiplication(sF6,sF3),
    inference(forward_demodulation,[],[f12672,f1901]) ).

fof(f1901,plain,
    multiplication(sF6,sF3) = multiplication(sF6,multiplication(sF3,sF16)),
    inference(superposition,[],[f888,f1887]) ).

fof(f888,plain,
    ! [X3] : multiplication(sF6,addition(sF17,X3)) = multiplication(sF6,X3),
    inference(forward_demodulation,[],[f883,f120]) ).

fof(f883,plain,
    ! [X3] : multiplication(sF6,addition(sF17,X3)) = addition(zero,multiplication(sF6,X3)),
    inference(superposition,[],[f73,f872]) ).

fof(f872,plain,
    zero = multiplication(sF6,sF17),
    inference(superposition,[],[f281,f864]) ).

fof(f281,plain,
    ! [X21] : zero = multiplication(sF6,multiplication(sF5,X21)),
    inference(forward_demodulation,[],[f254,f51]) ).

fof(f51,plain,
    ! [X0] : zero = multiplication(zero,X0),
    inference(cnf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] : zero = multiplication(zero,X0),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',left_annihilation) ).

fof(f254,plain,
    ! [X21] : multiplication(sF6,multiplication(sF5,X21)) = multiplication(zero,X21),
    inference(superposition,[],[f72,f112]) ).

fof(f12672,plain,
    multiplication(sF6,sF5) = multiplication(sF6,multiplication(sF3,sF16)),
    inference(forward_demodulation,[],[f12341,f86]) ).

fof(f12341,plain,
    multiplication(antidomain(sF5),sF5) = multiplication(antidomain(sF5),multiplication(sF3,sF16)),
    inference(superposition,[],[f456,f10530]) ).

fof(f10530,plain,
    sF5 = addition(sF5,multiplication(sF3,sF16)),
    inference(backward_demodulation,[],[f3959,f10525]) ).

fof(f10525,plain,
    sF5 = addition(sF3,sF5),
    inference(forward_demodulation,[],[f10524,f85]) ).

fof(f10524,plain,
    antidomain(sF4) = addition(sF3,antidomain(sF4)),
    inference(backward_demodulation,[],[f7222,f10523]) ).

fof(f10523,plain,
    sF4 = multiplication(sF16,sF4),
    inference(forward_demodulation,[],[f10509,f54]) ).

fof(f10509,plain,
    multiplication(sF16,sF4) = multiplication(one,sF4),
    inference(superposition,[],[f6242,f142]) ).

fof(f6242,plain,
    ! [X7] : multiplication(addition(X7,sF17),sF4) = multiplication(X7,sF4),
    inference(forward_demodulation,[],[f6227,f52]) ).

fof(f6227,plain,
    ! [X7] : multiplication(addition(X7,sF17),sF4) = addition(multiplication(X7,sF4),zero),
    inference(superposition,[],[f74,f6204]) ).

fof(f6204,plain,
    zero = multiplication(sF17,sF4),
    inference(forward_demodulation,[],[f6189,f54]) ).

fof(f6189,plain,
    zero = multiplication(one,multiplication(sF17,sF4)),
    inference(superposition,[],[f57,f6141]) ).

fof(f6141,plain,
    one = antidomain(multiplication(sF17,sF4)),
    inference(forward_demodulation,[],[f6140,f2968]) ).

fof(f6140,plain,
    antidomain(multiplication(sF17,sF4)) = addition(one,antidomain(multiplication(sF17,sF4))),
    inference(forward_demodulation,[],[f6139,f161]) ).

fof(f6139,plain,
    antidomain(multiplication(sF17,sF4)) = addition(antidomain(zero),antidomain(multiplication(sF17,sF4))),
    inference(forward_demodulation,[],[f6138,f84]) ).

fof(f6138,plain,
    antidomain(multiplication(sF17,antidomain(sF3))) = addition(antidomain(zero),antidomain(multiplication(sF17,antidomain(sF3)))),
    inference(forward_demodulation,[],[f6126,f83]) ).

fof(f6126,plain,
    antidomain(multiplication(sF17,antidomain(antidomain(sK1)))) = addition(antidomain(zero),antidomain(multiplication(sF17,antidomain(antidomain(sK1))))),
    inference(superposition,[],[f70,f6091]) ).

fof(f6091,plain,
    zero = multiplication(sF17,sK1),
    inference(forward_demodulation,[],[f6056,f50]) ).

fof(f50,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',right_annihilation) ).

fof(f6056,plain,
    multiplication(sF17,zero) = multiplication(sF17,sK1),
    inference(superposition,[],[f5993,f108]) ).

fof(f108,plain,
    zero = multiplication(sF3,sK1),
    inference(superposition,[],[f57,f83]) ).

fof(f5993,plain,
    ! [X4] : multiplication(sF17,X4) = multiplication(sF17,multiplication(sF3,X4)),
    inference(superposition,[],[f72,f5888]) ).

fof(f5888,plain,
    sF17 = multiplication(sF17,sF3),
    inference(forward_demodulation,[],[f5791,f53]) ).

fof(f5791,plain,
    multiplication(sF17,one) = multiplication(sF17,sF3),
    inference(superposition,[],[f483,f4018]) ).

fof(f4018,plain,
    one = addition(sF3,coantidomain(sF17)),
    inference(forward_demodulation,[],[f4017,f3069]) ).

fof(f3069,plain,
    one = addition(one,sF3),
    inference(forward_demodulation,[],[f2907,f63]) ).

fof(f2907,plain,
    one = addition(sF3,one),
    inference(superposition,[],[f176,f163]) ).

fof(f4017,plain,
    addition(one,sF3) = addition(sF3,coantidomain(sF17)),
    inference(forward_demodulation,[],[f3998,f63]) ).

fof(f3998,plain,
    addition(sF3,one) = addition(sF3,coantidomain(sF17)),
    inference(superposition,[],[f3148,f143]) ).

fof(f143,plain,
    one = addition(sF17,coantidomain(sF17)),
    inference(forward_demodulation,[],[f132,f63]) ).

fof(f132,plain,
    one = addition(coantidomain(sF17),sF17),
    inference(superposition,[],[f61,f98]) ).

fof(f3148,plain,
    ! [X29] : addition(sF3,X29) = addition(sF3,addition(sF17,X29)),
    inference(forward_demodulation,[],[f2941,f195]) ).

fof(f195,plain,
    ! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(X5,addition(X4,X6)),
    inference(forward_demodulation,[],[f177,f71]) ).

fof(f177,plain,
    ! [X6,X4,X5] : addition(X4,addition(X5,X6)) = addition(addition(X5,X4),X6),
    inference(superposition,[],[f71,f63]) ).

fof(f2941,plain,
    ! [X29] : addition(sF3,X29) = addition(sF17,addition(sF3,X29)),
    inference(superposition,[],[f176,f1903]) ).

fof(f1903,plain,
    ! [X0] : addition(sF3,X0) = addition(sF17,addition(multiplication(sF3,sF16),X0)),
    inference(superposition,[],[f71,f1887]) ).

fof(f483,plain,
    ! [X4,X5] : multiplication(X4,X5) = multiplication(X4,addition(X5,coantidomain(X4))),
    inference(forward_demodulation,[],[f409,f52]) ).

fof(f409,plain,
    ! [X4,X5] : multiplication(X4,addition(X5,coantidomain(X4))) = addition(multiplication(X4,X5),zero),
    inference(superposition,[],[f73,f56]) ).

fof(f56,plain,
    ! [X0] : zero = multiplication(X0,coantidomain(X0)),
    inference(cnf_transformation,[],[f30]) ).

fof(f30,plain,
    ! [X0] : zero = multiplication(X0,coantidomain(X0)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3] : zero = multiplication(X3,coantidomain(X3)),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',codomain1) ).

fof(f70,plain,
    ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,plain,
    ! [X0,X1] : antidomain(multiplication(X0,antidomain(antidomain(X1)))) = addition(antidomain(multiplication(X0,X1)),antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : antidomain(multiplication(X3,antidomain(antidomain(X4)))) = addition(antidomain(multiplication(X3,X4)),antidomain(multiplication(X3,antidomain(antidomain(X4))))),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',domain2) ).

fof(f7222,plain,
    antidomain(multiplication(sF16,sF4)) = addition(sF3,antidomain(multiplication(sF16,sF4))),
    inference(forward_demodulation,[],[f7221,f84]) ).

fof(f7221,plain,
    antidomain(multiplication(sF16,antidomain(sF3))) = addition(sF3,antidomain(multiplication(sF16,antidomain(sF3)))),
    inference(forward_demodulation,[],[f7211,f83]) ).

fof(f7211,plain,
    antidomain(multiplication(sF16,antidomain(antidomain(sK1)))) = addition(antidomain(sK1),antidomain(multiplication(sF16,antidomain(antidomain(sK1))))),
    inference(superposition,[],[f70,f7196]) ).

fof(f7196,plain,
    sK1 = multiplication(sF16,sK1),
    inference(forward_demodulation,[],[f7183,f54]) ).

fof(f7183,plain,
    multiplication(one,sK1) = multiplication(sF16,sK1),
    inference(superposition,[],[f6145,f142]) ).

fof(f6145,plain,
    ! [X7] : multiplication(addition(X7,sF17),sK1) = multiplication(X7,sK1),
    inference(forward_demodulation,[],[f6130,f52]) ).

fof(f6130,plain,
    ! [X7] : multiplication(addition(X7,sF17),sK1) = addition(multiplication(X7,sK1),zero),
    inference(superposition,[],[f74,f6091]) ).

fof(f3959,plain,
    addition(sF3,sF5) = addition(sF5,multiplication(sF3,sF16)),
    inference(forward_demodulation,[],[f3944,f63]) ).

fof(f3944,plain,
    addition(sF5,sF3) = addition(sF5,multiplication(sF3,sF16)),
    inference(superposition,[],[f3147,f1887]) ).

fof(f3147,plain,
    ! [X28] : addition(sF5,X28) = addition(sF5,addition(sF17,X28)),
    inference(forward_demodulation,[],[f2940,f195]) ).

fof(f2940,plain,
    ! [X28] : addition(sF5,X28) = addition(sF17,addition(sF5,X28)),
    inference(superposition,[],[f176,f1721]) ).

fof(f1721,plain,
    ! [X0] : addition(sF5,X0) = addition(sF17,addition(multiplication(sF5,sF16),X0)),
    inference(superposition,[],[f71,f1706]) ).

fof(f86,plain,
    antidomain(sF5) = sF6,
    introduced(function_definition,[]) ).

fof(f3899,plain,
    multiplication(sF15,sF6) = multiplication(sF14,sF7),
    inference(superposition,[],[f262,f87]) ).

fof(f87,plain,
    multiplication(sK0,sF6) = sF7,
    introduced(function_definition,[]) ).

fof(f262,plain,
    ! [X29] : multiplication(sF14,multiplication(sK0,X29)) = multiplication(sF15,X29),
    inference(superposition,[],[f72,f96]) ).

fof(f124449,plain,
    zero = multiplication(sF15,sF4),
    inference(superposition,[],[f288,f10523]) ).

fof(f288,plain,
    ! [X30] : zero = multiplication(sF15,multiplication(sF16,X30)),
    inference(forward_demodulation,[],[f263,f51]) ).

fof(f263,plain,
    ! [X30] : multiplication(sF15,multiplication(sF16,X30)) = multiplication(zero,X30),
    inference(superposition,[],[f72,f104]) ).

fof(f104,plain,
    zero = multiplication(sF15,sF16),
    inference(superposition,[],[f56,f97]) ).

fof(f285,plain,
    ! [X26] : zero = multiplication(sF11,multiplication(sF13,X26)),
    inference(forward_demodulation,[],[f259,f51]) ).

fof(f259,plain,
    ! [X26] : multiplication(sF11,multiplication(sF13,X26)) = multiplication(zero,X26),
    inference(superposition,[],[f72,f102]) ).

fof(f102,plain,
    zero = multiplication(sF11,sF13),
    inference(superposition,[],[f56,f94]) ).

fof(f1493,plain,
    ! [X7] : antidomain(multiplication(X7,sF9)) = addition(antidomain(multiplication(X7,sF7)),antidomain(multiplication(X7,sF9))),
    inference(forward_demodulation,[],[f1420,f89]) ).

fof(f1420,plain,
    ! [X7] : antidomain(multiplication(X7,antidomain(sF8))) = addition(antidomain(multiplication(X7,sF7)),antidomain(multiplication(X7,antidomain(sF8)))),
    inference(superposition,[],[f70,f88]) ).

fof(f88,plain,
    antidomain(sF7) = sF8,
    introduced(function_definition,[]) ).

fof(f276,plain,
    ! [X14,X15] : zero = multiplication(antidomain(X14),multiplication(X14,X15)),
    inference(forward_demodulation,[],[f248,f51]) ).

fof(f248,plain,
    ! [X14,X15] : multiplication(antidomain(X14),multiplication(X14,X15)) = multiplication(zero,X15),
    inference(superposition,[],[f72,f57]) ).

fof(f93,plain,
    zero != sF12,
    inference(definition_folding,[],[f81,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83]) ).

fof(f81,plain,
    zero != multiplication(antidomain(antidomain(multiplication(sK0,antidomain(antidomain(antidomain(antidomain(sK1))))))),antidomain(antidomain(sK2))),
    inference(definition_unfolding,[],[f49,f79,f60,f60]) ).

fof(f79,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = antidomain(antidomain(multiplication(X0,antidomain(antidomain(X1))))),
    inference(definition_unfolding,[],[f68,f60,f60]) ).

fof(f68,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f41]) ).

fof(f41,plain,
    ! [X0,X1] : forward_diamond(X0,X1) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f23]) ).

fof(f23,axiom,
    ! [X3,X4] : forward_diamond(X3,X4) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589',forward_diamond) ).

fof(f49,plain,
    zero != multiplication(forward_diamond(sK0,domain(sK1)),domain(sK2)),
    inference(cnf_transformation,[],[f47]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : KLE102+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.15  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36  % Computer : n023.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   : Tue Aug 29 12:45:25 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.5s4ePAbCYa/Vampire---4.8_24589
% 0.15/0.37  % (24696)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.43  % (24701)lrs+3_20_av=off:bd=preordered:drc=off:fsd=off:fsr=off:fde=unused:irw=on:lcm=reverse:sos=theory:stl=315_961 on Vampire---4 for (961ds/0Mi)
% 0.22/0.43  % (24698)lrs-11_28_aac=none:afr=on:anc=none:bs=on:drc=off:fde=unused:gs=on:nm=2:nwc=1.3:sp=frequency:stl=188_1092 on Vampire---4 for (1092ds/0Mi)
% 0.22/0.43  % (24700)ott-4_11_av=off:bd=preordered:bce=on:drc=off:flr=on:fsr=off:lma=on:nwc=2.0:sp=occurrence:tgt=ground:urr=ec_only_1010 on Vampire---4 for (1010ds/0Mi)
% 0.22/0.43  % (24697)lrs+10_11_cond=on:drc=off:flr=on:fsr=off:gsp=on:gs=on:gsem=off:lma=on:msp=off:nm=4:nwc=1.5:nicw=on:sas=z3:sims=off:sp=scramble:stl=188_1169 on Vampire---4 for (1169ds/0Mi)
% 0.22/0.43  % (24702)ott+1003_4:1_av=off:cond=on:drc=off:fsd=off:fsr=off:fde=none:gsp=on:nm=2:nwc=1.5:sos=all:sp=reverse_arity:tgt=full_871 on Vampire---4 for (871ds/0Mi)
% 0.22/0.43  % (24703)lrs-11_32_av=off:bd=off:bs=on:bsr=on:drc=off:flr=on:fsd=off:fsr=off:fde=none:gsp=on:irw=on:lcm=predicate:nm=4:sp=scramble:stl=125_825 on Vampire---4 for (825ds/0Mi)
% 0.22/0.43  % (24704)ott+11_14_av=off:bs=on:bsr=on:cond=on:flr=on:fsd=off:fde=unused:gsp=on:nm=4:nwc=1.5:tgt=full_501 on Vampire---4 for (501ds/0Mi)
% 20.71/3.32  % (24700)First to succeed.
% 20.71/3.33  % (24700)Refutation found. Thanks to Tanya!
% 20.71/3.33  % SZS status Theorem for Vampire---4
% 20.71/3.33  % SZS output start Proof for Vampire---4
% See solution above
% 20.71/3.33  % (24700)------------------------------
% 20.71/3.33  % (24700)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 20.71/3.33  % (24700)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 20.71/3.33  % (24700)Termination reason: Refutation
% 20.71/3.33  
% 20.71/3.33  % (24700)Memory used [KB]: 102727
% 20.71/3.33  % (24700)Time elapsed: 2.900 s
% 20.71/3.33  % (24700)------------------------------
% 20.71/3.33  % (24700)------------------------------
% 20.71/3.33  % (24696)Success in time 2.962 s
% 20.71/3.33  % Vampire---4.8 exiting
%------------------------------------------------------------------------------