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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR073+2 : 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 : n018.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 0.94s 0.45s
% Output   : Refutation 0.94s
% 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   :   36 (   0 sgn  34   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f99,axiom,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
     => tptptypes_5_387(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_99) ).

fof(f108,axiom,
    ! [X0,X1] :
      ( tptptypes_9_401(X0,X1)
     => tptptypes_8_400(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_108) ).

fof(f157,axiom,
    ( mtvisible(c_tptp_member237_mt)
   => tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_157) ).

fof(f174,axiom,
    ! [X0,X1] :
      ( tptptypes_8_400(X0,X1)
     => tptptypes_7_396(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_174) ).

fof(f198,axiom,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_198) ).

fof(f409,axiom,
    ! [X0,X1] :
      ( tptptypes_7_396(X0,X1)
     => tptptypes_6_388(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_409) ).

fof(f1123,axiom,
    ! [X0,X1] :
      ( ( mtvisible(X0)
        & genlmt(X0,X1) )
     => mtvisible(X1) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/CSR002+1.ax',ax1_1123) ).

fof(f1132,conjecture,
    ? [X0] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_387(X0,c_pushingababycarriage) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query123) ).

fof(f1133,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => tptptypes_5_387(X0,c_pushingababycarriage) ),
    inference(negated_conjecture,[status(cth)],[f1132]) ).

fof(f1271,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(ennf_transformation,[],[f99]) ).

fof(f1278,plain,
    ! [X0,X1] :
      ( tptptypes_8_400(X1,X0)
      | ~ tptptypes_9_401(X0,X1) ),
    inference(ennf_transformation,[],[f108]) ).

fof(f1299,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ mtvisible(c_tptp_member237_mt) ),
    inference(ennf_transformation,[],[f157]) ).

fof(f1311,plain,
    ! [X0,X1] :
      ( tptptypes_7_396(X0,X1)
      | ~ tptptypes_8_400(X0,X1) ),
    inference(ennf_transformation,[],[f174]) ).

fof(f1418,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
      | ~ tptptypes_7_396(X0,X1) ),
    inference(ennf_transformation,[],[f409]) ).

fof(f2012,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(ennf_transformation,[],[f1123]) ).

fof(f2013,plain,
    ! [X0,X1] :
      ( mtvisible(X1)
      | ~ mtvisible(X0)
      | ~ genlmt(X0,X1) ),
    inference(flattening,[],[f2012]) ).

fof(f2022,plain,
    ! [X0] :
      ( ~ tptptypes_5_387(X0,c_pushingababycarriage)
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f1133]) ).

fof(f2120,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[],[f1271]) ).

fof(f2129,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_401(X0,X1)
      | tptptypes_8_400(X1,X0) ),
    inference(cnf_transformation,[],[f1278]) ).

fof(f2178,plain,
    ( ~ mtvisible(c_tptp_member237_mt)
    | tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
    inference(cnf_transformation,[],[f1299]) ).

fof(f2195,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_400(X0,X1)
      | tptptypes_7_396(X0,X1) ),
    inference(cnf_transformation,[],[f1311]) ).

fof(f2219,plain,
    genlmt(c_tptp_spindlecollectormt,c_tptp_member237_mt),
    inference(cnf_transformation,[],[f198]) ).

fof(f2429,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_396(X0,X1)
      | tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[],[f1418]) ).

fof(f3053,plain,
    ! [X0,X1] :
      ( ~ genlmt(X0,X1)
      | ~ mtvisible(X0)
      | mtvisible(X1) ),
    inference(cnf_transformation,[],[f2013]) ).

fof(f3062,plain,
    mtvisible(c_tptp_spindlecollectormt),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3063,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingababycarriage),
    inference(cnf_transformation,[],[f2022]) ).

fof(f3308,definition,
    ( spl0_54
  <=> tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258) ),
    introduced(definition,[new_symbols(definition,[spl0_54])],[avatar_definition]) ).

fof(f3310,plain,
    ( tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_10258)
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f3308]) ).

fof(f3312,definition,
    ( spl0_55
  <=> mtvisible(c_tptp_member237_mt) ),
    introduced(definition,[new_symbols(definition,[spl0_55])],[avatar_definition]) ).

fof(f3314,plain,
    ( ~ mtvisible(c_tptp_member237_mt)
    | spl0_55 ),
    inference(avatar_component_clause,[],[f3312]) ).

fof(f3315,plain,
    ( spl0_54
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f2178,f3312,f3308]) ).

fof(f3521,plain,
    ( ~ mtvisible(c_tptp_spindlecollectormt)
    | mtvisible(c_tptp_member237_mt) ),
    inference(resolution,[],[f2219,f3053]) ).

fof(f3522,plain,
    mtvisible(c_tptp_member237_mt),
    inference(forward_subsumption_resolution,[],[f3521,f3062]) ).

fof(f3523,plain,
    ( $false
    | spl0_55 ),
    inference(forward_subsumption_resolution,[],[f3522,f3314]) ).

fof(f3524,plain,
    spl0_55,
    inference(avatar_contradiction_clause,[],[f3523]) ).

fof(f5309,plain,
    ( tptptypes_8_400(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_54 ),
    inference(resolution,[],[f2129,f3310]) ).

fof(f5392,plain,
    ( tptptypes_7_396(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_54 ),
    inference(resolution,[],[f2195,f5309]) ).

fof(f5671,plain,
    ( tptptypes_6_388(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_54 ),
    inference(resolution,[],[f2429,f5392]) ).

fof(f5674,plain,
    ( tptptypes_5_387(c_tptpcol_16_10258,c_pushingababycarriage)
    | ~ spl0_54 ),
    inference(resolution,[],[f5671,f2120]) ).

fof(f5675,plain,
    ( $false
    | ~ spl0_54 ),
    inference(forward_subsumption_resolution,[],[f5674,f3063]) ).

fof(f5676,plain,
    ~ spl0_54,
    inference(avatar_contradiction_clause,[],[f5675]) ).

cnf(s39,plain,
    ( spl0_54
    | ~ spl0_55 ),
    inference(sat_conversion,[],[f3315]) ).

cnf(s70,plain,
    spl0_55,
    inference(sat_conversion,[],[f3524]) ).

cnf(s118,plain,
    ~ spl0_54,
    inference(sat_conversion,[],[f5676]) ).

cnf(s144,plain,
    $false,
    inference(rat,[],[s39,s70,s118]) ).

fof(f5677,plain,
    $false,
    inference(avatar_sat_refutation,[],[s144]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR073+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.17  % Computer : n018.cluster.edu
% 0.11/0.17  % Model    : x86_64 x86_64
% 0.11/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17  % Memory   : 8046.5625MB
% 0.11/0.17  % OS       : Linux 6.8.0-71-generic
% 0.11/0.17  % CPULimit : 300
% 0.11/0.17  % WCLimit  : 300
% 0.11/0.17  % DateTime : Mon Sep 28 22:28:39 UTC 2026
% 0.11/0.17  % CPUTime  : 
% 0.11/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20  Running first-order model finding
% 0.11/0.20  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
% 0.94/0.45  % (3868368)Will run a generic schedule for satisfiability detection.
% 0.94/0.45  % (3868388)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4051373350:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.94/0.45  % (3868385)% WARNING: option uhcvi not known.
% 0.94/0.45  % (3868385)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3097995195:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.94/0.45  % (3868384)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3697775115_2999 on theBenchmark for (2999ds/0Mi)
% 0.94/0.45  % (3868386)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3192829256:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.94/0.45  % (3868387)dis+10_1_sil=32000:sp=arity:random_seed=3044154954:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.94/0.45  % (3868389)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1241463466:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.94/0.45  % (3868390)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3543359760:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.94/0.45  % TRYING [1]
% 0.94/0.45  % (3868388)Instruction limit reached! 
% 0.94/0.45  % (3868388)------------------------------
% 0.94/0.45  % (3868388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.45  % (3868388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.45  % (3868388)CaDiCaL version: 2.1.3
% 0.94/0.45  % (3868388)Termination reason: Instruction limit
% 0.94/0.45  % (3868388)Termination phase: Saturation
% 0.94/0.45  % (3868388)Time elapsed: 0.036 s
% 0.94/0.45  % (3868388)Peak memory usage: 15 MB
% 0.94/0.45  % (3868388)Instructions burned: 118 (million)
% 0.94/0.45  % TRYING [2]
% 0.94/0.45  % TRYING [3]
% 0.94/0.45  % (3868415)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1721633703:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.94/0.45  % TRYING [4]
% 0.94/0.45  % TRYING [1]
% 0.94/0.45  % TRYING [2]
% 0.94/0.45  % (3868387)Instruction limit reached! 
% 0.94/0.45  % (3868387)------------------------------
% 0.94/0.45  % (3868387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.45  % (3868387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.45  % (3868387)CaDiCaL version: 2.1.3
% 0.94/0.45  % (3868387)Termination reason: Instruction limit
% 0.94/0.45  % (3868387)Termination phase: Saturation
% 0.94/0.45  % (3868387)Time elapsed: 0.056 s
% 0.94/0.45  % (3868387)Peak memory usage: 15 MB
% 0.94/0.45  % (3868387)Instructions burned: 105 (million)
% 0.94/0.45  % TRYING [3]
% 0.94/0.45  % TRYING [4]
% 0.94/0.45  % (3868389)Instruction limit reached! 
% 0.94/0.45  % (3868389)------------------------------
% 0.94/0.45  % (3868389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.45  % (3868389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.45  % (3868389)CaDiCaL version: 2.1.3
% 0.94/0.45  % (3868389)Termination reason: Instruction limit
% 0.94/0.45  % (3868389)Termination phase: Saturation
% 0.94/0.45  % (3868389)Time elapsed: 0.074 s
% 0.94/0.45  % (3868389)Peak memory usage: 16 MB
% 0.94/0.45  % (3868389)Instructions burned: 131 (million)
% 0.94/0.45  % (3868431)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1496528065:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.94/0.45  % TRYING [5]
% 0.94/0.45  % TRYING [5]
% 0.94/0.45  % (3868390)Instruction limit reached! 
% 0.94/0.45  % (3868390)------------------------------
% 0.94/0.45  % (3868390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.45  % (3868390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.45  % (3868390)CaDiCaL version: 2.1.3
% 0.94/0.45  % (3868390)Termination reason: Instruction limit
% 0.94/0.45  % (3868390)Termination phase: Saturation
% 0.94/0.45  % (3868390)Time elapsed: 0.089 s
% 0.94/0.45  % (3868390)Peak memory usage: 17 MB
% 0.94/0.45  % (3868390)Instructions burned: 160 (million)
% 0.94/0.45  % (3868440)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3573863100:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.94/0.45  % (3868447)ott-21_1_sil=16000:fs=off:random_seed=969295313:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.94/0.45  % TRYING [6]
% 0.94/0.45  % (3868431)Instruction limit reached! 
% 0.94/0.45  % (3868431)------------------------------
% 0.94/0.45  % (3868431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.45  % (3868431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.45  % (3868431)CaDiCaL version: 2.1.3
% 0.94/0.45  % (3868431)Termination reason: Instruction limit
% 0.94/0.45  % (3868431)Termination phase: Saturation
% 0.94/0.45  % (3868431)Time elapsed: 0.071 s
% 0.94/0.45  % (3868431)Peak memory usage: 16 MB
% 0.94/0.45  % (3868431)Instructions burned: 131 (million)
% 0.94/0.45  % TRYING [6]
% 0.94/0.45  % (3868440) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3868368-3868440"...
% 0.94/0.45  % (3868440)...printing done.
% 0.94/0.45  % (3868440)Refutation found. Thanks to Tanya!
% 0.94/0.45  % SZS status Theorem for theBenchmark
% 0.94/0.45  % SZS output start Proof for theBenchmark
% See solution above
% 0.94/0.45  % (3868440)------------------------------
% 0.94/0.45  % (3868440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.94/0.45  % (3868440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.94/0.45  % (3868440)CaDiCaL version: 2.1.3
% 0.94/0.45  % (3868440)Termination reason: Refutation
% 0.94/0.45  % (3868440)Time elapsed: 0.063 s
% 0.94/0.45  % (3868440)Peak memory usage: 16 MB
% 0.94/0.45  % (3868440)Instructions burned: 85 (million)
% 0.94/0.45  % (3868368)Success in time 0.233 s
% 0.94/0.45  % Vampire exiting
%------------------------------------------------------------------------------