TSTP Solution File: KLE062+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : KLE062+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 : n016.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 05:36:39 EDT 2023

% Result   : Theorem 1.37s 0.59s
% Output   : Refutation 1.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  100 (  99 unt;   0 def)
%            Number of atoms       :  101 ( 100 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   11 (  10   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  198 (; 194   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8581,plain,
    $false,
    inference(trivial_inequality_removal,[],[f8580]) ).

fof(f8580,plain,
    domain(multiplication(domain(sK0),sK1)) != domain(multiplication(domain(sK0),sK1)),
    inference(forward_demodulation,[],[f8579,f8578]) ).

fof(f8578,plain,
    ! [X16,X17] : domain(multiplication(domain(X16),X17)) = domain(multiplication(domain(X17),X16)),
    inference(forward_demodulation,[],[f8577,f5841]) ).

fof(f5841,plain,
    ! [X54,X53] : multiplication(domain(X54),X53) = multiplication(domain(X53),multiplication(domain(X54),X53)),
    inference(superposition,[],[f5669,f4121]) ).

fof(f4121,plain,
    ! [X0,X1] : addition(X1,multiplication(domain(X0),X1)) = X1,
    inference(forward_demodulation,[],[f4041,f35]) ).

fof(f35,plain,
    ! [X0] : multiplication(one,X0) = X0,
    inference(cnf_transformation,[],[f7]) ).

fof(f7,axiom,
    ! [X0] : multiplication(one,X0) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',multiplicative_left_identity) ).

fof(f4041,plain,
    ! [X0,X1] : multiplication(one,X1) = addition(X1,multiplication(domain(X0),X1)),
    inference(superposition,[],[f3904,f48]) ).

fof(f48,plain,
    ! [X6] : one = addition(one,domain(X6)),
    inference(superposition,[],[f39,f37]) ).

fof(f37,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(cnf_transformation,[],[f21]) ).

fof(f21,plain,
    ! [X0] : one = addition(domain(X0),one),
    inference(rectify,[],[f15]) ).

fof(f15,axiom,
    ! [X3] : one = addition(domain(X3),one),
    file('/export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',domain3) ).

fof(f39,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/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',additive_commutativity) ).

fof(f3904,plain,
    ! [X24,X25] : multiplication(addition(one,X25),X24) = addition(X24,multiplication(X25,X24)),
    inference(superposition,[],[f45,f35]) ).

fof(f45,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/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',left_distributivity) ).

fof(f5669,plain,
    ! [X2,X1] : multiplication(domain(addition(X2,X1)),X1) = X1,
    inference(superposition,[],[f5542,f39]) ).

fof(f5542,plain,
    ! [X2,X1] : multiplication(domain(addition(X1,X2)),X1) = X1,
    inference(forward_demodulation,[],[f5466,f4121]) ).

fof(f5466,plain,
    ! [X2,X1] : addition(X1,multiplication(domain(X2),X1)) = multiplication(domain(addition(X1,X2)),X1),
    inference(superposition,[],[f4285,f40]) ).

fof(f40,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    ! [X0,X1] : domain(addition(X0,X1)) = addition(domain(X0),domain(X1)),
    inference(rectify,[],[f17]) ).

fof(f17,axiom,
    ! [X3,X4] : domain(addition(X3,X4)) = addition(domain(X3),domain(X4)),
    file('/export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',domain5) ).

fof(f4285,plain,
    ! [X14,X13] : addition(X13,multiplication(X14,X13)) = multiplication(addition(domain(X13),X14),X13),
    inference(superposition,[],[f45,f4122]) ).

fof(f4122,plain,
    ! [X0] : multiplication(domain(X0),X0) = X0,
    inference(backward_demodulation,[],[f38,f4121]) ).

fof(f38,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(cnf_transformation,[],[f22]) ).

fof(f22,plain,
    ! [X0] : multiplication(domain(X0),X0) = addition(X0,multiplication(domain(X0),X0)),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : multiplication(domain(X3),X3) = addition(X3,multiplication(domain(X3),X3)),
    file('/export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',domain1) ).

fof(f8577,plain,
    ! [X16,X17] : domain(multiplication(domain(X16),X17)) = domain(multiplication(domain(X16),multiplication(domain(X17),X16))),
    inference(forward_demodulation,[],[f8484,f8575]) ).

fof(f8575,plain,
    ! [X56,X57,X55] : domain(multiplication(domain(X56),multiplication(domain(X57),X55))) = domain(multiplication(domain(multiplication(domain(X56),X57)),X55)),
    inference(forward_demodulation,[],[f8483,f8532]) ).

fof(f8532,plain,
    ! [X56,X57,X55] : multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55) = multiplication(domain(multiplication(domain(X56),X57)),X55),
    inference(forward_demodulation,[],[f8531,f2272]) ).

fof(f2272,plain,
    ! [X18,X19,X17] : domain(multiplication(X19,X17)) = domain(multiplication(X19,addition(X17,multiplication(domain(X17),X18)))),
    inference(forward_demodulation,[],[f2221,f41]) ).

fof(f41,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(cnf_transformation,[],[f24]) ).

fof(f24,plain,
    ! [X0,X1] : domain(multiplication(X0,X1)) = domain(multiplication(X0,domain(X1))),
    inference(rectify,[],[f14]) ).

fof(f14,axiom,
    ! [X3,X4] : domain(multiplication(X3,X4)) = domain(multiplication(X3,domain(X4))),
    file('/export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',domain2) ).

fof(f2221,plain,
    ! [X18,X19,X17] : domain(multiplication(X19,domain(X17))) = domain(multiplication(X19,addition(X17,multiplication(domain(X17),X18)))),
    inference(superposition,[],[f41,f1915]) ).

fof(f1915,plain,
    ! [X54,X53] : domain(X53) = domain(addition(X53,multiplication(domain(X53),X54))),
    inference(forward_demodulation,[],[f1914,f112]) ).

fof(f112,plain,
    ! [X1] : domain(X1) = domain(domain(X1)),
    inference(forward_demodulation,[],[f104,f35]) ).

fof(f104,plain,
    ! [X1] : domain(multiplication(one,X1)) = domain(domain(X1)),
    inference(superposition,[],[f41,f35]) ).

fof(f1914,plain,
    ! [X54,X53] : domain(addition(X53,multiplication(domain(X53),X54))) = domain(domain(X53)),
    inference(forward_demodulation,[],[f1885,f189]) ).

fof(f189,plain,
    ! [X8,X9] : domain(X9) = domain(multiplication(X9,addition(one,X8))),
    inference(forward_demodulation,[],[f188,f34]) ).

fof(f34,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',multiplicative_right_identity) ).

fof(f188,plain,
    ! [X8,X9] : domain(multiplication(X9,addition(one,X8))) = domain(multiplication(X9,one)),
    inference(forward_demodulation,[],[f179,f41]) ).

fof(f179,plain,
    ! [X8,X9] : domain(multiplication(X9,addition(one,X8))) = domain(multiplication(X9,domain(one))),
    inference(superposition,[],[f41,f136]) ).

fof(f136,plain,
    ! [X6] : domain(one) = domain(addition(one,X6)),
    inference(superposition,[],[f126,f48]) ).

fof(f126,plain,
    ! [X2,X3] : domain(addition(X3,X2)) = domain(addition(X3,domain(X2))),
    inference(forward_demodulation,[],[f122,f40]) ).

fof(f122,plain,
    ! [X2,X3] : domain(addition(X3,domain(X2))) = addition(domain(X3),domain(X2)),
    inference(superposition,[],[f40,f112]) ).

fof(f1885,plain,
    ! [X54,X53] : domain(addition(X53,multiplication(domain(X53),X54))) = domain(multiplication(domain(X53),addition(one,X54))),
    inference(superposition,[],[f127,f1784]) ).

fof(f1784,plain,
    ! [X2,X3] : multiplication(X2,addition(one,X3)) = addition(X2,multiplication(X2,X3)),
    inference(superposition,[],[f44,f34]) ).

fof(f44,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/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',right_distributivity) ).

fof(f127,plain,
    ! [X4,X5] : domain(addition(X4,X5)) = domain(addition(domain(X4),X5)),
    inference(forward_demodulation,[],[f123,f40]) ).

fof(f123,plain,
    ! [X4,X5] : domain(addition(domain(X4),X5)) = addition(domain(X4),domain(X5)),
    inference(superposition,[],[f40,f112]) ).

fof(f8531,plain,
    ! [X56,X57,X55] : multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55) = multiplication(domain(multiplication(domain(X56),addition(X57,multiplication(domain(X57),X55)))),X55),
    inference(forward_demodulation,[],[f8530,f44]) ).

fof(f8530,plain,
    ! [X56,X57,X55] : multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55) = multiplication(domain(addition(multiplication(domain(X56),X57),multiplication(domain(X56),multiplication(domain(X57),X55)))),X55),
    inference(forward_demodulation,[],[f8431,f40]) ).

fof(f8431,plain,
    ! [X56,X57,X55] : multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55) = multiplication(addition(domain(multiplication(domain(X56),X57)),domain(multiplication(domain(X56),multiplication(domain(X57),X55)))),X55),
    inference(backward_demodulation,[],[f7263,f8399]) ).

fof(f8399,plain,
    ! [X0,X1] : multiplication(domain(X0),domain(X1)) = domain(multiplication(domain(X0),X1)),
    inference(forward_demodulation,[],[f8341,f7393]) ).

fof(f7393,plain,
    ! [X54,X53] : domain(multiplication(domain(X54),X53)) = multiplication(domain(multiplication(domain(X54),X53)),domain(X53)),
    inference(superposition,[],[f7301,f4121]) ).

fof(f7301,plain,
    ! [X83,X84] : domain(X84) = multiplication(domain(X84),domain(addition(X83,X84))),
    inference(forward_demodulation,[],[f7300,f34]) ).

fof(f7300,plain,
    ! [X83,X84] : multiplication(domain(X84),domain(addition(X83,X84))) = multiplication(domain(X84),one),
    inference(forward_demodulation,[],[f7299,f48]) ).

fof(f7299,plain,
    ! [X83,X84] : multiplication(domain(X84),domain(addition(X83,X84))) = multiplication(domain(X84),addition(one,domain(X83))),
    inference(forward_demodulation,[],[f7298,f1784]) ).

fof(f7298,plain,
    ! [X83,X84] : addition(domain(X84),multiplication(domain(X84),domain(X83))) = multiplication(domain(X84),domain(addition(X83,X84))),
    inference(forward_demodulation,[],[f7155,f112]) ).

fof(f7155,plain,
    ! [X83,X84] : addition(domain(X84),multiplication(domain(domain(X84)),domain(X83))) = multiplication(domain(domain(X84)),domain(addition(X83,X84))),
    inference(superposition,[],[f4321,f40]) ).

fof(f4321,plain,
    ! [X10,X9] : addition(X9,multiplication(domain(X9),X10)) = multiplication(domain(X9),addition(X10,X9)),
    inference(forward_demodulation,[],[f4283,f39]) ).

fof(f4283,plain,
    ! [X10,X9] : addition(multiplication(domain(X9),X10),X9) = multiplication(domain(X9),addition(X10,X9)),
    inference(superposition,[],[f44,f4122]) ).

fof(f8341,plain,
    ! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(multiplication(domain(X0),X1)),domain(X1)),
    inference(superposition,[],[f7262,f41]) ).

fof(f7262,plain,
    ! [X54,X53] : multiplication(domain(X54),X53) = multiplication(domain(multiplication(domain(X54),X53)),X53),
    inference(forward_demodulation,[],[f7261,f1915]) ).

fof(f7261,plain,
    ! [X54,X53] : multiplication(domain(multiplication(domain(X54),X53)),X53) = multiplication(domain(addition(X54,multiplication(domain(X54),X53))),X53),
    inference(forward_demodulation,[],[f7260,f40]) ).

fof(f7260,plain,
    ! [X54,X53] : multiplication(domain(multiplication(domain(X54),X53)),X53) = multiplication(addition(domain(X54),domain(multiplication(domain(X54),X53))),X53),
    inference(forward_demodulation,[],[f7141,f45]) ).

fof(f7141,plain,
    ! [X54,X53] : multiplication(domain(multiplication(domain(X54),X53)),X53) = addition(multiplication(domain(X54),X53),multiplication(domain(multiplication(domain(X54),X53)),X53)),
    inference(superposition,[],[f4321,f4121]) ).

fof(f7263,plain,
    ! [X56,X57,X55] : multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55) = multiplication(addition(multiplication(domain(X56),domain(X57)),domain(multiplication(domain(X56),multiplication(domain(X57),X55)))),X55),
    inference(forward_demodulation,[],[f7142,f3903]) ).

fof(f3903,plain,
    ! [X21,X22,X23,X20] : multiplication(addition(multiplication(X20,X21),X23),X22) = addition(multiplication(X20,multiplication(X21,X22)),multiplication(X23,X22)),
    inference(superposition,[],[f45,f43]) ).

fof(f43,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/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',multiplicative_associativity) ).

fof(f7142,plain,
    ! [X56,X57,X55] : multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55) = addition(multiplication(domain(X56),multiplication(domain(X57),X55)),multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55)),
    inference(superposition,[],[f4321,f4151]) ).

fof(f4151,plain,
    ! [X16,X14,X15] : addition(X16,multiplication(domain(X14),multiplication(domain(X15),X16))) = X16,
    inference(forward_demodulation,[],[f4150,f35]) ).

fof(f4150,plain,
    ! [X16,X14,X15] : multiplication(one,X16) = addition(X16,multiplication(domain(X14),multiplication(domain(X15),X16))),
    inference(forward_demodulation,[],[f4046,f43]) ).

fof(f4046,plain,
    ! [X16,X14,X15] : multiplication(one,X16) = addition(X16,multiplication(multiplication(domain(X14),domain(X15)),X16)),
    inference(superposition,[],[f3904,f1982]) ).

fof(f1982,plain,
    ! [X56,X55] : one = addition(one,multiplication(domain(X55),domain(X56))),
    inference(forward_demodulation,[],[f1955,f48]) ).

fof(f1955,plain,
    ! [X56,X55] : addition(one,multiplication(domain(X55),domain(X56))) = addition(one,domain(X55)),
    inference(superposition,[],[f741,f1886]) ).

fof(f1886,plain,
    ! [X0,X1] : addition(X1,multiplication(X1,domain(X0))) = X1,
    inference(forward_demodulation,[],[f1842,f34]) ).

fof(f1842,plain,
    ! [X0,X1] : multiplication(X1,one) = addition(X1,multiplication(X1,domain(X0))),
    inference(superposition,[],[f1784,f48]) ).

fof(f741,plain,
    ! [X18,X19] : addition(one,X19) = addition(one,addition(domain(X18),X19)),
    inference(superposition,[],[f42,f48]) ).

fof(f42,plain,
    ! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,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/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',additive_associativity) ).

fof(f8483,plain,
    ! [X56,X57,X55] : domain(multiplication(domain(X56),multiplication(domain(X57),X55))) = domain(multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),X55)),
    inference(backward_demodulation,[],[f7394,f8399]) ).

fof(f7394,plain,
    ! [X56,X57,X55] : domain(multiplication(domain(X56),multiplication(domain(X57),X55))) = multiplication(domain(multiplication(domain(X56),multiplication(domain(X57),X55))),domain(X55)),
    inference(superposition,[],[f7301,f4151]) ).

fof(f8484,plain,
    ! [X16,X17] : domain(multiplication(domain(X16),X17)) = domain(multiplication(domain(multiplication(domain(X16),X17)),X16)),
    inference(backward_demodulation,[],[f7415,f8399]) ).

fof(f7415,plain,
    ! [X16,X17] : domain(multiplication(domain(X16),X17)) = multiplication(domain(multiplication(domain(X16),X17)),domain(X16)),
    inference(superposition,[],[f7301,f1915]) ).

fof(f8579,plain,
    domain(multiplication(domain(sK0),sK1)) != domain(multiplication(domain(sK1),sK0)),
    inference(forward_demodulation,[],[f8485,f8399]) ).

fof(f8485,plain,
    multiplication(domain(sK1),domain(sK0)) != domain(multiplication(domain(sK0),sK1)),
    inference(backward_demodulation,[],[f29,f8399]) ).

fof(f29,plain,
    multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)),
    inference(cnf_transformation,[],[f28]) ).

fof(f28,plain,
    multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f26,f27]) ).

fof(f27,plain,
    ( ? [X0,X1] : multiplication(domain(X0),domain(X1)) != multiplication(domain(X1),domain(X0))
   => multiplication(domain(sK0),domain(sK1)) != multiplication(domain(sK1),domain(sK0)) ),
    introduced(choice_axiom,[]) ).

fof(f26,plain,
    ? [X0,X1] : multiplication(domain(X0),domain(X1)) != multiplication(domain(X1),domain(X0)),
    inference(ennf_transformation,[],[f20]) ).

fof(f20,plain,
    ~ ! [X0,X1] : multiplication(domain(X0),domain(X1)) = multiplication(domain(X1),domain(X0)),
    inference(rectify,[],[f19]) ).

fof(f19,negated_conjecture,
    ~ ! [X3,X4] : multiplication(domain(X3),domain(X4)) = multiplication(domain(X4),domain(X3)),
    inference(negated_conjecture,[],[f18]) ).

fof(f18,conjecture,
    ! [X3,X4] : multiplication(domain(X3),domain(X4)) = multiplication(domain(X4),domain(X3)),
    file('/export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : KLE062+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 12:33:46 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.14/0.35  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.AwW6hzJHRK/Vampire---4.8_8760
% 0.14/0.35  % (8867)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.41  % (8873)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)
% 0.20/0.41  % (8868)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)
% 0.20/0.41  % (8871)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)
% 0.20/0.41  % (8870)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)
% 0.20/0.41  % (8869)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)
% 0.20/0.41  % (8872)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)
% 0.20/0.42  % (8874)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)
% 0.20/0.42  % (8872)Refutation not found, incomplete strategy% (8872)------------------------------
% 0.20/0.42  % (8872)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.42  % (8872)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.42  % (8872)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.42  
% 0.20/0.42  % (8872)Memory used [KB]: 895
% 0.20/0.42  % (8872)Time elapsed: 0.004 s
% 0.20/0.42  % (8872)------------------------------
% 0.20/0.42  % (8872)------------------------------
% 0.20/0.48  % (8875)ott+4_40_av=off:bce=on:fsd=off:fde=unused:nm=4:nwc=1.1:sos=all:sp=frequency_375 on Vampire---4 for (375ds/0Mi)
% 0.20/0.48  % (8875)Refutation not found, incomplete strategy% (8875)------------------------------
% 0.20/0.48  % (8875)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.48  % (8875)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.48  % (8875)Termination reason: Refutation not found, incomplete strategy
% 0.20/0.48  
% 0.20/0.48  % (8875)Memory used [KB]: 895
% 0.20/0.48  % (8875)Time elapsed: 0.003 s
% 0.20/0.48  % (8875)------------------------------
% 0.20/0.48  % (8875)------------------------------
% 0.20/0.51  % (8876)lrs-11_16_av=off:bs=on:bsr=on:drc=off:fsd=off:fsr=off:nm=4:sp=scramble:tgt=ground:stl=62_367 on Vampire---4 for (367ds/0Mi)
% 1.37/0.59  % (8871)First to succeed.
% 1.37/0.59  % (8871)Refutation found. Thanks to Tanya!
% 1.37/0.59  % SZS status Theorem for Vampire---4
% 1.37/0.59  % SZS output start Proof for Vampire---4
% See solution above
% 1.37/0.59  % (8871)------------------------------
% 1.37/0.59  % (8871)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 1.37/0.59  % (8871)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 1.37/0.59  % (8871)Termination reason: Refutation
% 1.37/0.59  
% 1.37/0.59  % (8871)Memory used [KB]: 6908
% 1.37/0.59  % (8871)Time elapsed: 0.177 s
% 1.37/0.59  % (8871)------------------------------
% 1.37/0.59  % (8871)------------------------------
% 1.37/0.59  % (8867)Success in time 0.233 s
% 1.37/0.59  % Vampire---4.8 exiting
%------------------------------------------------------------------------------