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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV781-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n005.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 01:19:29 PM UTC 2026

% Result   : Unsatisfiable 3.91s 1.44s
% Output   : Refutation 3.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   6 unt;   0 def)
%            Number of atoms       :    6 (   2 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    2 (   2   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    3 (   2 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-3 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f661,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_fun(X1,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_subset__refl_0) ).

fof(f665,axiom,
    ! [X0,X1] : c_List_OtakeWhile(X0,c_List_Olist_ONil(X1),X1) = c_List_Olist_ONil(X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_takeWhile_Osimps_I1_J_0) ).

fof(f666,plain,
    ! [X0,X1] : c_List_Olist_ONil(X1) = c_List_OtakeWhile(X0,c_List_Olist_ONil(X1),X1),
    inference(reorient_equations,[],[f665]) ).

fof(f673,negated_conjecture,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(v_P,c_List_Olist_ONil(tc_Event_Oevent),tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f694,plain,
    ~ c_lessequals(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Olist_ONil(tc_Event_Oevent)),tc_fun(tc_Message_Omsg,tc_bool)),
    inference(superposition,[],[f673,f666]) ).

fof(f695,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f694,f661]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV781-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.26  % Computer : n005.cluster.edu
% 0.10/0.26  % Model    : x86_64 x86_64
% 0.10/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.26  % Memory   : 8046.5625MB
% 0.10/0.26  % OS       : Linux 6.8.0-71-generic
% 0.10/0.27  % CPULimit : 300
% 0.10/0.27  % WCLimit  : 300
% 0.10/0.27  % DateTime : Mon Sep 28 12:31:46 UTC 2026
% 0.10/0.27  % CPUTime  : 
% 0.10/0.27  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.32  Running first-order theorem proving
% 0.26/0.32  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
% 3.91/1.44  % (757318)Input is clausal, will run a generic CNF schedule.
% 3.91/1.44  % (757328)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3297914815:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.91/1.44  % (757329)dis-21_1_sil=8000:lcm=predicate:random_seed=4105406848: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)
% 3.91/1.44  % (757328)First to succeed.
% 3.91/1.44  % (757328)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-757318"
% 3.91/1.44  % (757327)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=328639032:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.91/1.44  % (757325)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1329068571:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.91/1.44  % (757326)lrs+10_1_sil=8000:sp=occurrence:random_seed=4200178933:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.91/1.44  % (757323)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=1565737402:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.91/1.44  % (757324)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=638477889:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.91/1.44  % (757326)Also succeeded, but the first one will report.
% 3.91/1.44  % (757327)Also succeeded, but the first one will report.
% 3.91/1.44  % (757329)Instruction limit reached! 
% 3.91/1.44  % (757329)------------------------------
% 3.91/1.44  % (757329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.44  % (757329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.44  % (757329)CaDiCaL version: 2.1.3
% 3.91/1.44  % (757329)Termination reason: Instruction limit
% 3.91/1.44  % (757329)Termination phase: Saturation
% 3.91/1.44  % (757329)Time elapsed: 0.098 s
% 3.91/1.44  % (757329)Peak memory usage: 89 MB
% 3.91/1.44  % (757329)Instructions burned: 117 (million)
% 3.91/1.44  % (757328)Refutation found. Thanks to Tanya!
% 3.91/1.44  % SZS status Unsatisfiable for theBenchmark
% 3.91/1.44  % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.44  % (757328)------------------------------
% 3.91/1.44  % (757328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.44  % (757328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.44  % (757328)CaDiCaL version: 2.1.3
% 3.91/1.44  % (757328)Termination reason: Refutation
% 3.91/1.44  % (757328)Time elapsed: 0.010 s
% 3.91/1.44  % (757328)Peak memory usage: 89 MB
% 3.91/1.44  % (757328)Instructions burned: 19 (million)
% 3.91/1.44  % (757328)------------------------------
% 3.91/1.44  % (757328)------------------------------
% 3.91/1.44  % (757318)Success in time 0.462 s
% 3.91/1.44  % Vampire exiting
%------------------------------------------------------------------------------