TSTP Solution File: LDA007-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n024.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 13:53:17 EDT 2024

% Result   : Unsatisfiable 0.16s 0.37s
% Output   : Refutation 0.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   15 (  15 unt;   0 def)
%            Number of atoms       :   15 (  14 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f946,plain,
    $false,
    inference(trivial_inequality_removal,[],[f941]) ).

fof(f941,plain,
    f(t,tsk) != f(t,tsk),
    inference(superposition,[],[f20,f938]) ).

fof(f938,plain,
    f(t,tsk) = f(tt_ts,tk),
    inference(forward_demodulation,[],[f930,f18]) ).

fof(f18,axiom,
    tsk = f(ts,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_9) ).

fof(f930,plain,
    f(tt_ts,tk) = f(t,f(ts,k)),
    inference(superposition,[],[f158,f237]) ).

fof(f237,plain,
    tt_ts = f(t,ts),
    inference(forward_demodulation,[],[f230,f13]) ).

fof(f13,axiom,
    tt_ts = f(tt,ts),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_4) ).

fof(f230,plain,
    f(tt,ts) = f(t,ts),
    inference(superposition,[],[f143,f12]) ).

fof(f12,axiom,
    ts = f(t,s),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_3) ).

fof(f143,plain,
    ! [X0] : f(t,f(t,X0)) = f(tt,f(t,X0)),
    inference(superposition,[],[f1,f10]) ).

fof(f10,axiom,
    tt = f(t,t),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_1) ).

fof(f1,axiom,
    ! [X2,X0,X1] : f(X0,f(X1,X2)) = f(f(X0,X1),f(X0,X2)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',a1) ).

fof(f158,plain,
    ! [X0] : f(t,f(X0,k)) = f(f(t,X0),tk),
    inference(superposition,[],[f1,f16]) ).

fof(f16,axiom,
    tk = f(t,k),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause_7) ).

fof(f20,axiom,
    f(t,tsk) != f(tt_ts,tk),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equation) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LDA007-2 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.00/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.31  % Computer : n024.cluster.edu
% 0.12/0.31  % Model    : x86_64 x86_64
% 0.12/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31  % Memory   : 8042.1875MB
% 0.12/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31  % CPULimit   : 300
% 0.12/0.31  % WCLimit    : 300
% 0.12/0.31  % DateTime   : Tue Apr 30 02:04:06 EDT 2024
% 0.12/0.31  % CPUTime    : 
% 0.12/0.31  % (3165)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.32  % (3168)WARNING: value z3 for option sas not known
% 0.16/0.33  % (3171)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)
% 0.16/0.33  % (3172)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)
% 0.16/0.33  % (3167)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.33  % (3166)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.33  % (3168)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)
% 0.16/0.33  % (3169)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.33  % (3170)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)
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [2]
% 0.16/0.33  TRYING [1]
% 0.16/0.33  TRYING [3]
% 0.16/0.33  TRYING [2]
% 0.16/0.34  TRYING [4]
% 0.16/0.34  TRYING [3]
% 0.16/0.34  TRYING [1]
% 0.16/0.34  TRYING [2]
% 0.16/0.34  TRYING [3]
% 0.16/0.35  TRYING [4]
% 0.16/0.36  TRYING [4]
% 0.16/0.37  % (3171)First to succeed.
% 0.16/0.37  % (3168)Also succeeded, but the first one will report.
% 0.16/0.37  % (3171)Refutation found. Thanks to Tanya!
% 0.16/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.16/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.37  % (3171)------------------------------
% 0.16/0.37  % (3171)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.16/0.37  % (3171)Termination reason: Refutation
% 0.16/0.37  
% 0.16/0.37  % (3171)Memory used [KB]: 1768
% 0.16/0.37  % (3171)Time elapsed: 0.044 s
% 0.16/0.37  % (3171)Instructions burned: 80 (million)
% 0.16/0.37  % (3171)------------------------------
% 0.16/0.37  % (3171)------------------------------
% 0.16/0.37  % (3165)Success in time 0.059 s
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