TSTP Solution File: KLE086+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n021.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 13:11:53 EDT 2024

% Result   : Theorem 0.15s 0.38s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   26 (  26 unt;   0 def)
%            Number of atoms       :   26 (  25 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    3 (   3   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    2 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,plain,
    $false,
    inference(subsumption_resolution,[],[f96,f33]) ).

fof(f33,plain,
    zero != domain(zero),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,plain,
    zero != domain(zero),
    inference(flattening,[],[f22]) ).

fof(f22,negated_conjecture,
    zero != domain(zero),
    inference(negated_conjecture,[],[f21]) ).

fof(f21,conjecture,
    zero = domain(zero),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).

fof(f96,plain,
    zero = domain(zero),
    inference(forward_demodulation,[],[f94,f58]) ).

fof(f58,plain,
    zero = antidomain(one),
    inference(superposition,[],[f41,f37]) ).

fof(f37,plain,
    ! [X0] : multiplication(X0,one) = X0,
    inference(cnf_transformation,[],[f6]) ).

fof(f6,axiom,
    ! [X0] : multiplication(X0,one) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).

fof(f41,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(cnf_transformation,[],[f25]) ).

fof(f25,plain,
    ! [X0] : zero = multiplication(antidomain(X0),X0),
    inference(rectify,[],[f13]) ).

fof(f13,axiom,
    ! [X3] : zero = multiplication(antidomain(X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).

fof(f94,plain,
    domain(zero) = antidomain(one),
    inference(superposition,[],[f43,f82]) ).

fof(f82,plain,
    one = antidomain(zero),
    inference(superposition,[],[f79,f36]) ).

fof(f36,plain,
    ! [X0] : addition(X0,zero) = X0,
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] : addition(X0,zero) = X0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).

fof(f79,plain,
    one = addition(antidomain(zero),zero),
    inference(forward_demodulation,[],[f72,f58]) ).

fof(f72,plain,
    one = addition(antidomain(zero),antidomain(one)),
    inference(superposition,[],[f53,f61]) ).

fof(f61,plain,
    antidomain(zero) = domain(one),
    inference(superposition,[],[f43,f58]) ).

fof(f53,plain,
    ! [X0] : one = addition(domain(X0),antidomain(X0)),
    inference(forward_demodulation,[],[f45,f43]) ).

fof(f45,plain,
    ! [X0] : one = addition(antidomain(antidomain(X0)),antidomain(X0)),
    inference(cnf_transformation,[],[f29]) ).

fof(f29,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/benchmark/theBenchmark.p',domain3) ).

fof(f43,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(cnf_transformation,[],[f27]) ).

fof(f27,plain,
    ! [X0] : antidomain(antidomain(X0)) = domain(X0),
    inference(rectify,[],[f16]) ).

fof(f16,axiom,
    ! [X3] : antidomain(antidomain(X3)) = domain(X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE086+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36  % Computer : n021.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 Apr 30 05:05:10 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  % (6392)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38  % (6395)WARNING: value z3 for option sas not known
% 0.15/0.38  % (6396)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38  % (6393)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38  % (6394)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  % (6395)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  % (6397)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  % (6398)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  % (6399)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  % (6399)First to succeed.
% 0.15/0.38  % (6398)Also succeeded, but the first one will report.
% 0.15/0.38  TRYING [3]
% 0.15/0.38  % (6399)Refutation found. Thanks to Tanya!
% 0.15/0.38  % SZS status Theorem for theBenchmark
% 0.15/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.38  % (6399)------------------------------
% 0.15/0.38  % (6399)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.15/0.38  % (6399)Termination reason: Refutation
% 0.15/0.38  
% 0.15/0.38  % (6399)Memory used [KB]: 848
% 0.15/0.38  % (6399)Time elapsed: 0.005 s
% 0.15/0.38  % (6399)Instructions burned: 5 (million)
% 0.15/0.38  % (6399)------------------------------
% 0.15/0.38  % (6399)------------------------------
% 0.15/0.38  % (6392)Success in time 0.021 s
%------------------------------------------------------------------------------