TSTP Solution File: LCL784-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : LCL784-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.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 : Sun May  5 07:53:06 EDT 2024

% Result   : Unsatisfiable 0.15s 0.36s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   11 (  11 unt;   0 def)
%            Number of atoms       :   11 (   5 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    4 (   4   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-5 aty)
%            Number of variables   :    9 (   9   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f383,plain,
    $false,
    inference(resolution,[],[f382,f283]) ).

fof(f283,axiom,
    hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_uIT_0) ).

fof(f382,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,v_u____)),
    inference(forward_demodulation,[],[f381,f221]) ).

fof(f221,axiom,
    ! [X42,X33] : hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X42)),X33),X42) = X33,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subst__eq_0) ).

fof(f381,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(v_n____)),v_u____),v_n____))),
    inference(backward_demodulation,[],[f318,f378]) ).

fof(f378,plain,
    ! [X2,X0,X1] : c_List_Ofoldl(X0,X1,v_rs____,X2,tc_Lambda_OdB) = X1,
    inference(superposition,[],[f245,f274]) ).

fof(f274,axiom,
    c_List_Olist_ONil(tc_Lambda_OdB) = v_rs____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nil_0) ).

fof(f245,axiom,
    ! [X2,X0,X12,X13] : c_List_Ofoldl(X12,X2,c_List_Olist_ONil(X13),X0,X13) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_foldl__Nil_0) ).

fof(f318,plain,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_n____))),
    inference(forward_demodulation,[],[f297,f295]) ).

fof(f295,axiom,
    v_n____ = v_i____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).

fof(f297,axiom,
    ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_u____),v_i____))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem    : LCL784-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n025.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 13:39:28 EDT 2024
% 0.10/0.31  % CPUTime    : 
% 0.10/0.31  % (30566)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.34  % (30569)WARNING: value z3 for option sas not known
% 0.15/0.34  % (30567)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.34  % (30573)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)
% 0.15/0.34  % (30571)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)
% 0.15/0.34  % (30570)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.34  % (30568)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.34  % (30569)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)
% 0.15/0.34  % (30572)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)
% 0.15/0.35  % (30572)First to succeed.
% 0.15/0.35  % (30572)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-30566"
% 0.15/0.36  % (30572)Refutation found. Thanks to Tanya!
% 0.15/0.36  % SZS status Unsatisfiable for theBenchmark
% 0.15/0.36  % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.36  % (30572)------------------------------
% 0.15/0.36  % (30572)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.36  % (30572)Termination reason: Refutation
% 0.15/0.36  
% 0.15/0.36  % (30572)Memory used [KB]: 1246
% 0.15/0.36  % (30572)Time elapsed: 0.015 s
% 0.15/0.36  % (30572)Instructions burned: 28 (million)
% 0.15/0.36  % (30566)Success in time 0.045 s
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