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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV239-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n020.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 01:20:32 PM UTC 2026

% Result   : Unsatisfiable 0.20s 0.26s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   5 unt;   0 def)
%            Number of atoms       :   20 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   16 (   8   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-3 aty)
%            Number of variables   :   18 (  18   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_lessequals(c_Message_Oanalz(c_union(c_Message_Oanalz(v_G),v_H,tc_Message_Omsg)),c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__analzD__dest_0) ).

fof(f3,axiom,
    ! [X2,X3,X0,X1] :
      ( c_lessequals(c_Message_Oanalz(c_union(X2,X0,tc_Message_Omsg)),c_Message_Oanalz(c_union(X3,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oanalz(X2),c_Message_Oanalz(X3),tc_set(tc_Message_Omsg))
      | ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__subset__cong_0) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2)
      | c_lessequals(X0,X1,tc_set(X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).

fof(f6,axiom,
    ! [X0,X1] : c_lessequals(X0,X0,tc_set(X1)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).

fof(f7,plain,
    ! [X0,X1] :
      ( c_in(c_Main_OsubsetI__1(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_Message_Omsg),c_Message_Oanalz(X0),tc_Message_Omsg)
      | c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),X1,tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f4,f2]) ).

fof(f10,plain,
    ( ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oanalz(v_H),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f3,f1]) ).

fof(f11,plain,
    ~ c_lessequals(c_Message_Oanalz(c_Message_Oanalz(v_G)),c_Message_Oanalz(v_G),tc_set(tc_Message_Omsg)),
    inference(forward_subsumption_resolution,[],[f10,f6]) ).

fof(f12,plain,
    ! [X0] :
      ( c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg))
      | c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)) ),
    inference(resolution,[],[f7,f5]) ).

fof(f14,plain,
    ! [X0] : c_lessequals(c_Message_Oanalz(c_Message_Oanalz(X0)),c_Message_Oanalz(X0),tc_set(tc_Message_Omsg)),
    inference(duplicate_literal_removal,[],[f12]) ).

fof(f15,plain,
    $false,
    inference(resolution,[],[f14,f11]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV239-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19  % Computer : n020.cluster.edu
% 0.09/0.19  % Model    : x86_64 x86_64
% 0.09/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19  % Memory   : 8046.5625MB
% 0.09/0.19  % OS       : Linux 6.8.0-71-generic
% 0.09/0.19  % CPULimit : 300
% 0.09/0.19  % WCLimit  : 300
% 0.09/0.19  % DateTime : Mon Sep 28 10:16:26 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23  Running first-order model finding
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.26  % (75830)Will run a generic schedule for satisfiability detection.
% 0.20/0.26  % (75838)dis+10_1_sil=32000:sp=arity:random_seed=2421298205:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.26  % (75838) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-75830-75838"...
% 0.20/0.26  % (75838)...printing done.
% 0.20/0.26  % (75838)Refutation found. Thanks to Tanya!
% 0.20/0.26  % SZS status Unsatisfiable for theBenchmark
% 0.20/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.26  % (75838)------------------------------
% 0.20/0.26  % (75838)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.26  % (75838)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.26  % (75838)CaDiCaL version: 2.1.3
% 0.20/0.26  % (75838)Termination reason: Refutation
% 0.20/0.26  % (75838)Time elapsed: 0.001 s
% 0.20/0.26  % (75838)Peak memory usage: 11 MB
% 0.20/0.26  % (75830)Success in time 0.028 s
% 0.20/0.26  % Vampire exiting
%------------------------------------------------------------------------------