TSTP Solution File: SWV262-2 by Vampire-SAT---4.8

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV262-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n019.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 10:48:15 EDT 2024

% Result   : Unsatisfiable 0.20s 0.38s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   12 (  12 unt;   0 def)
%            Number of atoms       :   12 (  11 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    8 (   8   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,plain,
    $false,
    inference(trivial_inequality_removal,[],[f11]) ).

fof(f11,plain,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),
    inference(forward_demodulation,[],[f10,f3]) ).

fof(f3,axiom,
    ! [X2,X3] : c_union(c_emptyset,X2,X3) = X2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__empty__left_0) ).

fof(f10,plain,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_union(c_emptyset,v_H,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),
    inference(forward_demodulation,[],[f9,f4]) ).

fof(f4,axiom,
    ! [X3,X6,X4,X5] : c_union(c_insert(X4,X5,X3),X6,X3) = c_insert(X4,c_union(X5,X6,X3),X3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__insert__left_0) ).

fof(f9,plain,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_insert(v_X,c_union(c_insert(v_Y,c_emptyset,tc_Message_Omsg),v_H,tc_Message_Omsg),tc_Message_Omsg)),
    inference(forward_demodulation,[],[f8,f4]) ).

fof(f8,plain,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_Message_Oparts(c_union(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),v_H,tc_Message_Omsg)),
    inference(superposition,[],[f7,f2]) ).

fof(f2,axiom,
    ! [X0,X1] : c_Message_Oparts(c_union(X0,X1,tc_Message_Omsg)) = c_union(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__Un_0) ).

fof(f7,plain,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(forward_demodulation,[],[f6,f3]) ).

fof(f6,plain,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_Message_Oparts(c_insert(v_X,c_union(c_emptyset,c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(forward_demodulation,[],[f5,f4]) ).

fof(f5,plain,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_Message_Oparts(c_union(c_insert(v_X,c_emptyset,tc_Message_Omsg),c_insert(v_Y,c_emptyset,tc_Message_Omsg),tc_Message_Omsg)),c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(superposition,[],[f1,f2]) ).

fof(f1,axiom,
    c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) != c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : SWV262-2 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n019.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   : Fri May  3 21:16:38 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.36  % (18413)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (18417)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37  TRYING [1]
% 0.14/0.37  TRYING [2]
% 0.14/0.37  % (18416)WARNING: value z3 for option sas not known
% 0.20/0.37  TRYING [3]
% 0.20/0.37  % (18414)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37  % (18415)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37  % (18416)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)
% 0.20/0.37  % (18418)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)
% 0.20/0.37  % (18419)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)
% 0.20/0.37  % (18420)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)
% 0.20/0.38  % (18418)Also succeeded, but the first one will report.
% 0.20/0.38  % (18420)First to succeed.
% 0.20/0.38  % (18419)Also succeeded, but the first one will report.
% 0.20/0.38  % (18420)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18413"
% 0.20/0.38  % (18416)Also succeeded, but the first one will report.
% 0.20/0.38  TRYING [1]
% 0.20/0.38  % (18420)Refutation found. Thanks to Tanya!
% 0.20/0.38  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.38  % (18420)------------------------------
% 0.20/0.38  % (18420)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.20/0.38  % (18420)Termination reason: Refutation
% 0.20/0.38  
% 0.20/0.38  % (18420)Memory used [KB]: 742
% 0.20/0.38  % (18420)Time elapsed: 0.004 s
% 0.20/0.38  % (18420)Instructions burned: 3 (million)
% 0.20/0.38  % (18413)Success in time 0.019 s
%------------------------------------------------------------------------------