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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR070+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 : n016.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 09:44:54 AM UTC 2026

% Result   : Theorem 0.38s 0.38s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   44 (  11 unt;   2 def)
%            Number of atoms       :   81 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   67 (  30   ~;  25   |;   2   &)
%                                         (   2 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   3 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   6 con; 0-3 aty)
%            Number of variables   :   32 (   0 sgn  32   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f8,axiom,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
     => tptptypes_5_802(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just8) ).

fof(f10,axiom,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
     => tptptypes_6_818(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just10) ).

fof(f12,axiom,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
     => tptptypes_7_819(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

fof(f14,axiom,
    ! [X0,X1] :
      ( tptptypes_9_824(X0,X1)
     => tptptypes_8_823(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just14) ).

fof(f16,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just16) ).

fof(f19,axiom,
    ( mtvisible(c_tptp_member2668_mt)
   => tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just19) ).

fof(f57,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

fof(f80,conjecture,
    ( mtvisible(c_tptp_spindlecollectormt)
   => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query70) ).

fof(f81,negated_conjecture,
    ~ ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    inference(negated_conjecture,[status(cth)],[f80]) ).

fof(f110,plain,
    ! [X0,X1] :
      ( tptptypes_5_802(X0,X1)
      | ~ tptptypes_6_818(X0,X1) ),
    inference(ennf_transformation,[],[f8]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( tptptypes_6_818(X0,X1)
      | ~ tptptypes_7_819(X0,X1) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( tptptypes_7_819(X0,X1)
      | ~ tptptypes_8_823(X0,X1) ),
    inference(ennf_transformation,[],[f12]) ).

fof(f113,plain,
    ! [X0,X1] :
      ( tptptypes_8_823(X0,X1)
      | ~ tptptypes_9_824(X0,X1) ),
    inference(ennf_transformation,[],[f14]) ).

fof(f114,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(ennf_transformation,[],[f19]) ).

fof(f131,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f57]) ).

fof(f132,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f131]) ).

fof(f151,plain,
    ( ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f81]) ).

fof(f159,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_818(X0,X1)
      | tptptypes_5_802(X0,X1) ),
    inference(cnf_transformation,[],[f110]) ).

fof(f161,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_819(X0,X1)
      | tptptypes_6_818(X0,X1) ),
    inference(cnf_transformation,[],[f111]) ).

fof(f163,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_823(X0,X1)
      | tptptypes_7_819(X0,X1) ),
    inference(cnf_transformation,[],[f112]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_824(X0,X1)
      | tptptypes_8_823(X0,X1) ),
    inference(cnf_transformation,[],[f113]) ).

fof(f167,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member2668_mt),
    inference(cnf_transformation,[],[f16]) ).

fof(f170,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ mtvisible(c_tptp_member2668_mt) ),
    inference(cnf_transformation,[],[f114]) ).

fof(f185,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f203,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f151]) ).

fof(f204,plain,
    ~ tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886),
    inference(cnf_transformation,[],[f151]) ).

fof(f206,definition,
    ( spl0_1
  <=> mtvisible(c_tptp_member2668_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f210,definition,
    ( spl0_2
  <=> tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f212,plain,
    ( tptptypes_9_824(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f210]) ).

fof(f213,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f170,f210,f206]) ).

fof(f252,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member2668_mt) ),
    inference(resolution,[],[f185,f167]) ).

fof(f265,plain,
    mtvisible(c_tptp_member2668_mt),
    inference(forward_subsumption_resolution,[],[f252,f203]) ).

fof(f284,plain,
    spl0_1,
    inference(avatar_split_clause,[],[f265,f206]) ).

fof(f285,plain,
    ( tptptypes_8_823(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_2 ),
    inference(resolution,[],[f212,f165]) ).

fof(f301,plain,
    ( tptptypes_7_819(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_2 ),
    inference(resolution,[],[f285,f163]) ).

fof(f377,plain,
    ( tptptypes_6_818(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_2 ),
    inference(resolution,[],[f301,f161]) ).

fof(f458,plain,
    ( tptptypes_5_802(f_subcollectionofwithrelationfromtypefn(c_orientationvector,c_orientation,c_partiallytangible),c_tptpcol_16_8886)
    | ~ spl0_2 ),
    inference(resolution,[],[f377,f159]) ).

fof(f459,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f458,f204]) ).

fof(f460,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f459]) ).

cnf(s1,plain,
    ( ~ spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f213]) ).

cnf(s8,plain,
    spl0_1,
    inference(sat_conversion,[],[f284]) ).

cnf(s9,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f460]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s1,s9,s8]) ).

fof(f461,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : CSR070+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27  % Computer : n016.cluster.edu
% 0.10/0.27  % Model    : x86_64 x86_64
% 0.10/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.27  % Memory   : 8046.5625MB
% 0.10/0.27  % 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 22:29:18 UTC 2026
% 0.27/0.27  % CPUTime  : 
% 0.27/0.27  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.27/0.32  Running first-order model finding
% 0.27/0.32  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
% 0.38/0.38  % (4109276)Will run a generic schedule for satisfiability detection.
% 0.38/0.38  % (4109281)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=846384115_2999 on theBenchmark for (2999ds/0Mi)
% 0.38/0.38  % TRYING [1]
% 0.38/0.38  % TRYING [2]
% 0.38/0.38  % TRYING [3]
% 0.38/0.38  % TRYING [4]
% 0.38/0.38  % TRYING [5]
% 0.38/0.38  % (4109282)% WARNING: option uhcvi not known.
% 0.38/0.38  % TRYING [6]
% 0.38/0.38  % TRYING [7]
% 0.38/0.38  % (4109284)dis+10_1_sil=32000:sp=arity:random_seed=3875771190:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.38/0.38  % (4109282)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1101326352:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.38/0.38  % (4109285)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3406037099:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.38/0.38  % TRYING [8]
% 0.38/0.38  % (4109286)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1730829344:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.38/0.38  % (4109283)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2624243816:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.38/0.38  % (4109287)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3568515480:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.38/0.38  % TRYING [9]
% 0.38/0.38  % (4109284) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4109276-4109284"...
% 0.38/0.38  % (4109287) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4109276-4109287"...
% 0.38/0.38  % (4109283) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4109276-4109283"...
% 0.38/0.38  % (4109284)...printing done.
% 0.38/0.38  % (4109287)...printing done.
% 0.38/0.38  % (4109286) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4109276-4109286"...
% 0.38/0.38  % (4109283)...printing done.
% 0.38/0.38  % (4109284)Refutation found. Thanks to Tanya!
% 0.38/0.38  % SZS status Theorem for theBenchmark
% 0.38/0.38  % SZS output start Proof for theBenchmark
% See solution above
% 0.38/0.38  % (4109284)------------------------------
% 0.38/0.38  % (4109284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.38/0.38  % (4109284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.38/0.38  % (4109284)CaDiCaL version: 2.1.3
% 0.38/0.38  % (4109284)Termination reason: Refutation
% 0.38/0.38  % (4109284)Time elapsed: 0.007 s
% 0.38/0.38  % (4109284)Peak memory usage: 12 MB
% 0.38/0.38  % (4109284)Instructions burned: 6 (million)
% 0.38/0.38  % (4109276)Success in time 0.046 s
% 0.38/0.38  % Vampire exiting
%------------------------------------------------------------------------------