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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV268-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:08:35 PM UTC 2026

% Result   : Unsatisfiable 2.65s 0.81s
% Output   : Refutation 2.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    8 (   7 unt;   0 def)
%            Number of atoms       :    9 (   2 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    4 (   4   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3375,axiom,
    ! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__idem_0) ).

fof(f3376,plain,
    ! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
    inference(reorient_equations,[],[f3375]) ).

fof(f3378,axiom,
    ! [X0,X1] :
      ( ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__mono_0) ).

fof(f3381,negated_conjecture,
    c_lessequals(v_G,c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f3382,negated_conjecture,
    ~ c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f3441,plain,
    c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(c_Message_Oparts(v_H)),tc_set(tc_Message_Omsg)),
    inference(resolution,[],[f3378,f3381]) ).

fof(f3444,plain,
    c_lessequals(c_Message_Oparts(v_G),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    inference(forward_demodulation,[],[f3441,f3376]) ).

fof(f3445,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f3444,f3382]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV268-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.11  % Computer : n012.cluster.edu
% 0.00/0.11  % Model    : x86_64 x86_64
% 0.00/0.11  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11  % Memory   : 8046.5625MB
% 0.00/0.11  % OS       : Linux 6.8.0-71-generic
% 0.00/0.11  % CPULimit : 300
% 0.00/0.11  % WCLimit  : 300
% 0.00/0.11  % DateTime : Mon Sep 28 10:20:49 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.13  Running first-order theorem proving
% 0.09/0.13  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.65/0.81  % (3290200)Input is clausal, will run a generic CNF schedule.
% 2.65/0.81  % (3290277)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2440455070:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.65/0.81  % (3290281)lrs+10_1_sil=8000:sp=occurrence:random_seed=794504469:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.65/0.81  % (3290287)dis-21_1_sil=8000:lcm=predicate:random_seed=1374362083:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.65/0.81  % (3290282)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4177694750:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.65/0.81  % (3290275)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=901183983:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.65/0.81  % (3290279)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=356027465:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.65/0.81  % (3290285)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3990880036:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.65/0.81  % (3290287)Instruction limit reached! 
% 2.65/0.81  % (3290287)------------------------------
% 2.65/0.81  % (3290287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/0.81  % (3290287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.81  % (3290287)CaDiCaL version: 2.1.3
% 2.65/0.81  % (3290287)Termination reason: Instruction limit
% 2.65/0.81  % (3290287)Termination phase: Saturation
% 2.65/0.81  % (3290287)Time elapsed: 0.036 s
% 2.65/0.81  % (3290287)Peak memory usage: 90 MB
% 2.65/0.81  % (3290287)Instructions burned: 119 (million)
% 2.65/0.81  % (3290282)Instruction limit reached! 
% 2.65/0.81  % (3290282)------------------------------
% 2.65/0.81  % (3290282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/0.81  % (3290282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.81  % (3290282)CaDiCaL version: 2.1.3
% 2.65/0.81  % (3290282)Termination reason: Instruction limit
% 2.65/0.81  % (3290282)Termination phase: Saturation
% 2.65/0.81  % (3290282)Time elapsed: 0.040 s
% 2.65/0.81  % (3290282)Peak memory usage: 90 MB
% 2.65/0.81  % (3290282)Instructions burned: 114 (million)
% 2.65/0.81  % (3290281)Instruction limit reached! 
% 2.65/0.81  % (3290281)------------------------------
% 2.65/0.81  % (3290281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/0.81  % (3290281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.81  % (3290281)CaDiCaL version: 2.1.3
% 2.65/0.81  % (3290281)Termination reason: Instruction limit
% 2.65/0.81  % (3290281)Termination phase: Saturation
% 2.65/0.81  % (3290281)Time elapsed: 0.042 s
% 2.65/0.81  % (3290281)Peak memory usage: 91 MB
% 2.65/0.81  % (3290281)Instructions burned: 109 (million)
% 2.65/0.81  % (3290285)First to succeed.
% 2.65/0.81  % (3290285)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3290200"
% 2.65/0.81  % (3290336)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=584992867:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 2.65/0.81  % (3290338)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2378108159:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 2.65/0.81  % (3290339)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=546220430:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 2.65/0.81  % (3290338)Also succeeded, but the first one will report.
% 2.65/0.81  % (3290339)Also succeeded, but the first one will report.
% 2.65/0.81  % (3290336)Instruction limit reached! 
% 2.65/0.81  % (3290336)------------------------------
% 2.65/0.81  % (3290336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/0.81  % (3290336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.81  % (3290336)CaDiCaL version: 2.1.3
% 2.65/0.81  % (3290336)Termination reason: Instruction limit
% 2.65/0.81  % (3290336)Termination phase: Saturation
% 2.65/0.81  % (3290336)Time elapsed: 0.048 s
% 2.65/0.81  % (3290336)Peak memory usage: 90 MB
% 2.65/0.81  % (3290336)Instructions burned: 144 (million)
% 2.65/0.81  % (3290285)Refutation found. Thanks to Tanya!
% 2.65/0.81  % SZS status Unsatisfiable for theBenchmark
% 2.65/0.81  % SZS output start Proof for theBenchmark
% See solution above
% 2.65/0.81  % (3290285)------------------------------
% 2.65/0.81  % (3290285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.65/0.81  % (3290285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.65/0.81  % (3290285)CaDiCaL version: 2.1.3
% 2.65/0.81  % (3290285)Termination reason: Refutation
% 2.65/0.81  % (3290285)Time elapsed: 0.021 s
% 2.65/0.81  % (3290285)Peak memory usage: 90 MB
% 2.65/0.81  % (3290285)Instructions burned: 71 (million)
% 2.65/0.81  % (3290285)------------------------------
% 2.65/0.81  % (3290285)------------------------------
% 2.65/0.81  % (3290200)Success in time 0.36 s
% 2.65/0.81  % Vampire exiting
%------------------------------------------------------------------------------