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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV270-2 : 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 : 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 01:20:40 PM UTC 2026

% Result   : Unsatisfiable 0.08s 0.16s
% Output   : Refutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   30 (  10 unt;   2 def)
%            Number of atoms       :   53 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   45 (  22   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :    8 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   23 (   0 sgn  23   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f2,negated_conjecture,
    ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f3,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f4,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth_1) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
      | ~ c_in(X0,X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f6,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_union(X1,X2,X3),X3)
      | c_in(X0,X2,X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_0) ).

fof(f7,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X1,X3,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_1) ).

fof(f8,axiom,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,c_union(X3,X1,X2),X2)
      | ~ c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__iff_2) ).

fof(f9,plain,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(resolution,[],[f7,f2]) ).

fof(f11,plain,
    ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(resolution,[],[f8,f2]) ).

fof(f12,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X2),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f3,f5]) ).

fof(f13,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    inference(resolution,[],[f6,f1]) ).

fof(f17,definition,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f19,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f21,definition,
    ( spl0_2
  <=> c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f23,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f21]) ).

fof(f24,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f13,f21,f17]) ).

fof(f25,plain,
    ( c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f4,f23]) ).

fof(f26,plain,
    ( c_in(c_Message_Omsg_OMPair(v_X,v_Y),v_H,tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f25,f11]) ).

fof(f29,plain,
    ( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(resolution,[],[f12,f26]) ).

fof(f33,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f29,f9]) ).

fof(f34,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f33]) ).

fof(f35,plain,
    ( c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f19,f3]) ).

fof(f37,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f35,f9]) ).

fof(f38,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f37]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f24]) ).

cnf(s2,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f34]) ).

cnf(s3,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f38]) ).

cnf(s4,plain,
    $false,
    inference(rat,[],[s1,s2,s3]) ).

fof(f39,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV270-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 10:21:04 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.13  Running first-order model finding
% 0.08/0.13  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
% 0.08/0.16  % (3291089)Will run a generic schedule for satisfiability detection.
% 0.08/0.16  % (3291095)% WARNING: option uhcvi not known.
% 0.08/0.16  % (3291098)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2163841104:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.08/0.16  % (3291096)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1350399310:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.08/0.16  % (3291094)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3767944316_2999 on theBenchmark for (2999ds/0Mi)
% 0.08/0.16  % (3291095)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2193684929:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.16  % (3291097)dis+10_1_sil=32000:sp=arity:random_seed=2508408878:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.16  % (3291099)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=758085549:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.16  % (3291100)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=773258608:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.08/0.16  % TRYING [1]
% 0.08/0.16  % (3291098) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3291089-3291098"...
% 0.08/0.16  % TRYING [2]
% 0.08/0.16  % (3291097) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3291089-3291097"...
% 0.08/0.16  % (3291095) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3291089-3291095"...
% 0.08/0.16  % TRYING [3]
% 0.08/0.16  % (3291096) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3291089-3291096"...
% 0.08/0.16  % (3291099) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3291089-3291099"...
% 0.08/0.16  % (3291098)...printing done.
% 0.08/0.16  % (3291097)...printing done.
% 0.08/0.16  % (3291095)...printing done.
% 0.08/0.16  % (3291100) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3291089-3291100"...
% 0.08/0.16  % TRYING [4]
% 0.08/0.16  % (3291096)...printing done.
% 0.08/0.16  % (3291098)Refutation found. Thanks to Tanya!
% 0.08/0.16  % SZS status Unsatisfiable for theBenchmark
% 0.08/0.16  % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.16  % (3291098)------------------------------
% 0.08/0.16  % (3291098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.16  % (3291098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.16  % (3291098)CaDiCaL version: 2.1.3
% 0.08/0.16  % (3291098)Termination reason: Refutation
% 0.08/0.16  % (3291098)Time elapsed: 0.001 s
% 0.08/0.16  % (3291098)Peak memory usage: 12 MB
% 0.08/0.16  % (3291098)Instructions burned: 1 (million)
% 0.08/0.16  % (3291089)Success in time 0.027 s
% 0.08/0.16  % Vampire exiting
%------------------------------------------------------------------------------