TSTP Solution File: KLE076+1 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : KLE076+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 : n017.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 13:11:52 EDT 2024

% Result   : Theorem 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (  13 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   10 (   9   ~;   0   |;   0   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   5   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f49,plain,
    $false,
    inference(subsumption_resolution,[],[f48,f30]) ).

fof(f30,plain,
    zero = domain(zero),
    inference(cnf_transformation,[],[f16]) ).

fof(f16,axiom,
    zero = domain(zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',domain4) ).

fof(f48,plain,
    zero != domain(zero),
    inference(forward_demodulation,[],[f47,f31]) ).

fof(f31,plain,
    ! [X0] : zero = multiplication(X0,zero),
    inference(cnf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] : zero = multiplication(X0,zero),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).

fof(f47,plain,
    zero != domain(multiplication(sK0,zero)),
    inference(superposition,[],[f29,f30]) ).

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

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

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

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

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

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

fof(f18,conjecture,
    ! [X3] : zero = domain(multiplication(X3,domain(zero))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : KLE076+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.31  % Computer : n017.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 04:33:33 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (4011)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.33  % (4014)WARNING: value z3 for option sas not known
% 0.11/0.33  % (4018)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)
% 0.11/0.34  % (4015)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.11/0.34  % (4013)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.11/0.34  % (4016)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)
% 0.11/0.34  % (4012)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.11/0.34  % (4017)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)
% 0.11/0.34  % (4014)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)
% 0.11/0.34  % (4018)First to succeed.
% 0.11/0.34  TRYING [1]
% 0.11/0.34  % (4016)Also succeeded, but the first one will report.
% 0.11/0.34  TRYING [2]
% 0.11/0.34  % (4017)Also succeeded, but the first one will report.
% 0.11/0.34  % (4018)Refutation found. Thanks to Tanya!
% 0.11/0.34  % SZS status Theorem for theBenchmark
% 0.11/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34  % (4018)------------------------------
% 0.11/0.34  % (4018)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34  % (4018)Termination reason: Refutation
% 0.11/0.34  
% 0.11/0.34  % (4018)Memory used [KB]: 778
% 0.11/0.34  % (4018)Time elapsed: 0.003 s
% 0.11/0.34  % (4018)Instructions burned: 3 (million)
% 0.11/0.34  % (4018)------------------------------
% 0.11/0.34  % (4018)------------------------------
% 0.11/0.34  % (4011)Success in time 0.018 s
%------------------------------------------------------------------------------