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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR073+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n017.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 09:44:57 AM UTC 2026

% Result   : Theorem 0.08s 0.26s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   46 (  11 unt;   2 def)
%            Number of atoms       :   85 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   70 (  31   ~;  27   |;   2   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   37 (   0 sgn  35   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7,axiom,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
     => tptptypes_5_387(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just7) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( tptptypes_7_396(X0,X1)
     => tptptypes_6_388(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just9) ).

fof(f11,axiom,
    ! [X0,X1] :
      ( tptptypes_8_400(X0,X1)
     => tptptypes_7_396(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

fof(f13,axiom,
    ! [X0,X1] :
      ( tptptypes_9_401(X0,X1)
     => tptptypes_8_400(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

fof(f15,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just15) ).

fof(f18,axiom,
    ( mtvisible(c_tptp_member237_mt)
   => tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just18) ).

fof(f59,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just59) ).

fof(f68,conjecture,
    ? [X0] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_387(X0,c_pushingababycarriage) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query73) ).

fof(f69,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => tptptypes_5_387(X0,c_pushingababycarriage) ),
    inference(negated_conjecture,[status(cth)],[f68]) ).

fof(f91,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(ennf_transformation,[],[f7]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
      | ~ tptptypes_7_396(X0,X1) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f93,plain,
    ! [X0,X1] :
      ( tptptypes_7_396(X0,X1)
      | ~ tptptypes_8_400(X0,X1) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f94,plain,
    ! [X0,X1] :
      ( tptptypes_8_400(X1,X0)
      | ~ tptptypes_9_401(X0,X1) ),
    inference(ennf_transformation,[],[f13]) ).

fof(f95,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(ennf_transformation,[],[f18]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f59]) ).

fof(f119,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f118]) ).

fof(f128,plain,
    ! [X0] :
      ( ~ tptptypes_5_387(X0,c_pushingababycarriage)
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f69]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f137,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_396(X0,X1)
      | tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[],[f92]) ).

fof(f139,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_400(X0,X1)
      | tptptypes_7_396(X0,X1) ),
    inference(cnf_transformation,[],[f93]) ).

fof(f141,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_401(X0,X1)
      | tptptypes_8_400(X1,X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f143,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    inference(cnf_transformation,[],[f15]) ).

fof(f146,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(cnf_transformation,[],[f95]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ~ mtvisible(X0)
      | mtvisible(X1)
      | ~ genlmt(X0,X1) ),
    inference(cnf_transformation,[],[f119]) ).

fof(f175,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f128]) ).

fof(f176,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingababycarriage),
    inference(cnf_transformation,[],[f128]) ).

fof(f178,definition,
    ( spl0_1
  <=> mtvisible(c_tptp_member237_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f180,plain,
    ( ~ mtvisible(c_tptp_member237_mt)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f178]) ).

fof(f182,definition,
    ( spl0_2
  <=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f184,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f182]) ).

fof(f185,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f146,f182,f178]) ).

fof(f221,plain,
    ! [X0] :
      ( ~ genlmt(c_tptp_spindlecollectormt,X0)
      | mtvisible(X0) ),
    inference(resolution,[],[f166,f175]) ).

fof(f224,plain,
    mtvisible(c_tptp_member237_mt),
    inference(resolution,[],[f221,f143]) ).

fof(f226,plain,
    ( $false
    | spl0_1 ),
    inference(forward_subsumption_resolution,[],[f224,f180]) ).

fof(f227,plain,
    spl0_1,
    inference(avatar_contradiction_clause,[],[f226]) ).

fof(f230,plain,
    ( tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_2 ),
    inference(resolution,[],[f184,f141]) ).

fof(f256,plain,
    ( tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_2 ),
    inference(resolution,[],[f230,f139]) ).

fof(f320,plain,
    ( tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_2 ),
    inference(resolution,[],[f256,f137]) ).

fof(f368,plain,
    ( tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_2 ),
    inference(resolution,[],[f320,f135]) ).

fof(f369,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f368,f176]) ).

fof(f370,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f369]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f185]) ).

cnf(s2,plain,
    spl0_1,
    inference(sat_conversion,[],[f227]) ).

cnf(s3,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f370]) ).

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

fof(f371,plain,
    $false,
    inference(avatar_sat_refutation,[],[s4]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR073+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n017.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 22:21:51 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 0.08/0.26  % (4106915)Will run a generic schedule for satisfiability detection.
% 0.08/0.26  % (4106925)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3127750669:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.08/0.26  % (4106925) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4106915-4106925"...
% 0.08/0.26  % (4106921)% WARNING: option uhcvi not known.
% 0.08/0.26  % (4106925)...printing done.
% 0.08/0.26  % (4106925)Refutation found. Thanks to Tanya!
% 0.08/0.26  % SZS status Theorem for theBenchmark
% 0.08/0.26  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26  % (4106925)------------------------------
% 0.19/0.26  % (4106925)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26  % (4106925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26  % (4106925)CaDiCaL version: 2.1.3
% 0.19/0.26  % (4106925)Termination reason: Refutation
% 0.19/0.26  % (4106925)Time elapsed: 0.002 s
% 0.19/0.26  % (4106925)Peak memory usage: 12 MB
% 0.19/0.26  % (4106925)Instructions burned: 5 (million)
% 0.19/0.26  % (4106915)Success in time 0.033 s
% 0.19/0.26  % Vampire exiting
%------------------------------------------------------------------------------