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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR073+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n011.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 09:42:38 AM UTC 2026

% Result   : Theorem 7.26s 2.52s
% Output   : Refutation 7.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   23 (   8 unt;   0 def)
%            Number of atoms       :   38 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   26 (  11   ~;   8   |;   1   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   28 (  26   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2560,axiom,
    ! [X0,X1] :
      ( tptptypes_9_401(X0,X1)
     => tptptypes_8_400(X1,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_2560) ).

fof(f11372,axiom,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
     => tptptypes_5_387(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_11372) ).

fof(f16571,axiom,
    ! [X0,X1] :
      ( tptptypes_7_396(X0,X1)
     => tptptypes_6_388(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_16571) ).

fof(f26515,axiom,
    ! [X0,X1] :
      ( tptptypes_8_400(X0,X1)
     => tptptypes_7_396(X0,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_26515) ).

fof(f27254,axiom,
    tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3_27254) ).

fof(f44217,conjecture,
    ? [X0] :
      ( mtvisible(c_tptp_spindlecollectormt)
     => tptptypes_5_387(X0,c_pushingababycarriage) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query223) ).

fof(f44218,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_tptp_spindlecollectormt)
       => tptptypes_5_387(X0,c_pushingababycarriage) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44240,plain,
    ! [X0] :
      ( ~ tptptypes_5_387(X0,c_pushingababycarriage)
      & mtvisible(c_tptp_spindlecollectormt) ),
    inference(ennf_transformation,[],[f44218]) ).

fof(f44249,plain,
    ! [X0,X1] :
      ( tptptypes_5_387(X0,X1)
      | ~ tptptypes_6_388(X0,X1) ),
    inference(ennf_transformation,[],[f11372]) ).

fof(f44253,plain,
    ! [X0,X1] :
      ( tptptypes_8_400(X1,X0)
      | ~ tptptypes_9_401(X0,X1) ),
    inference(ennf_transformation,[],[f2560]) ).

fof(f44261,plain,
    ! [X0,X1] :
      ( tptptypes_6_388(X0,X1)
      | ~ tptptypes_7_396(X0,X1) ),
    inference(ennf_transformation,[],[f16571]) ).

fof(f44263,plain,
    ! [X0,X1] :
      ( tptptypes_7_396(X0,X1)
      | ~ tptptypes_8_400(X0,X1) ),
    inference(ennf_transformation,[],[f26515]) ).

fof(f44265,plain,
    ! [X0] : ~ tptptypes_5_387(X0,c_pushingababycarriage),
    inference(cnf_transformation,[],[f44240]) ).

fof(f44271,plain,
    tptptypes_9_401(c_pushingababycarriage,c_tptpcol_16_9612),
    inference(cnf_transformation,[],[f27254]) ).

fof(f44276,plain,
    ! [X0,X1] :
      ( ~ tptptypes_6_388(X0,X1)
      | tptptypes_5_387(X0,X1) ),
    inference(cnf_transformation,[],[f44249]) ).

fof(f44279,plain,
    ! [X0,X1] :
      ( ~ tptptypes_9_401(X0,X1)
      | tptptypes_8_400(X1,X0) ),
    inference(cnf_transformation,[],[f44253]) ).

fof(f44292,plain,
    ! [X0,X1] :
      ( ~ tptptypes_7_396(X0,X1)
      | tptptypes_6_388(X0,X1) ),
    inference(cnf_transformation,[],[f44261]) ).

fof(f44294,plain,
    ! [X0,X1] :
      ( ~ tptptypes_8_400(X0,X1)
      | tptptypes_7_396(X0,X1) ),
    inference(cnf_transformation,[],[f44263]) ).

fof(f44320,plain,
    tptptypes_8_400(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolution,[],[f44279,f44271]) ).

fof(f44321,plain,
    tptptypes_7_396(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolution,[],[f44294,f44320]) ).

fof(f44322,plain,
    tptptypes_6_388(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolution,[],[f44321,f44292]) ).

fof(f44354,plain,
    tptptypes_5_387(c_tptpcol_16_9612,c_pushingababycarriage),
    inference(resolution,[],[f44322,f44276]) ).

fof(f44355,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f44354,f44265]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR073+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19  % Computer : n011.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 22:25:16 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.26/2.52  % (3855622)Detected formulas, will run a generic FOF schedule.
% 7.26/2.52  % (3855627)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=942488100:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 7.26/2.52  % (3855632)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2877446187:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 7.26/2.52  % (3855628)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=895958941:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 7.26/2.52  % (3855629)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1422716215:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 7.26/2.52  % (3855631)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1798900827:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 7.26/2.52  % (3855633)dis-21_1_sil=8000:lcm=predicate:random_seed=1447955268:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2990 on theBenchmark for (2990ds/129Mi)
% 7.26/2.52  % (3855630)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=920785155:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 7.26/2.52  % (3855632)Instruction limit reached! 
% 7.26/2.52  % (3855632)------------------------------
% 7.26/2.52  % (3855632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855632)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855632)Termination reason: Instruction limit
% 7.26/2.52  % (3855632)Termination phase: Property scanning
% 7.26/2.52  % (3855632)Time elapsed: 0.064 s
% 7.26/2.52  % (3855632)Peak memory usage: 110 MB
% 7.26/2.52  % (3855632)Instructions burned: 141 (million)
% 7.26/2.52  % (3855633)Instruction limit reached! 
% 7.26/2.52  % (3855633)------------------------------
% 7.26/2.52  % (3855633)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855633)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855633)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855633)Termination reason: Instruction limit
% 7.26/2.52  % (3855633)Termination phase: SInE selection
% 7.26/2.52  % (3855633)Time elapsed: 0.076 s
% 7.26/2.52  % (3855633)Peak memory usage: 111 MB
% 7.26/2.52  % (3855633)Instructions burned: 133 (million)
% 7.26/2.52  % (3855630)Instruction limit reached! 
% 7.26/2.52  % (3855630)------------------------------
% 7.26/2.52  % (3855630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855630)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855630)Termination reason: Instruction limit
% 7.26/2.52  % (3855630)Termination phase: Saturation
% 7.26/2.52  % (3855630)Time elapsed: 0.079 s
% 7.26/2.52  % (3855630)Peak memory usage: 116 MB
% 7.26/2.52  % (3855630)Instructions burned: 110 (million)
% 7.26/2.52  % (3855631)Instruction limit reached! 
% 7.26/2.52  % (3855631)------------------------------
% 7.26/2.52  % (3855631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855631)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855631)Termination reason: Instruction limit
% 7.26/2.52  % (3855631)Termination phase: Saturation
% 7.26/2.52  % (3855631)Time elapsed: 0.082 s
% 7.26/2.52  % (3855631)Peak memory usage: 116 MB
% 7.26/2.52  % (3855631)Instructions burned: 121 (million)
% 7.26/2.52  % (3855641)lrs+10_1_sil=8000:sp=occurrence:random_seed=584275458:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 7.26/2.52  % (3855643)lrs+1011_1_sil=32000:sp=occurrence:random_seed=819681898:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 7.26/2.52  % (3855642)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2607913222:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 7.26/2.52  % (3855644)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=207302195:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 7.26/2.52  % (3855642)Instruction limit reached! 
% 7.26/2.52  % (3855642)------------------------------
% 7.26/2.52  % (3855642)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855642)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855642)Termination reason: Instruction limit
% 7.26/2.52  % (3855642)Termination phase: Property scanning
% 7.26/2.52  % (3855642)Time elapsed: 0.070 s
% 7.26/2.52  % (3855642)Peak memory usage: 110 MB
% 7.26/2.52  % (3855642)Instructions burned: 158 (million)
% 7.26/2.52  % (3855643)Refutation not found, incomplete strategy
% 7.26/2.52  % (3855643)------------------------------
% 7.26/2.52  % (3855643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855643)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855643)Termination reason: Refutation not found, incomplete strategy
% 7.26/2.52  % (3855643)Time elapsed: 0.082 s
% 7.26/2.52  % (3855643)Peak memory usage: 118 MB
% 7.26/2.52  % (3855643)Instructions burned: 114 (million)
% 7.26/2.52  % (3855641)First to succeed.
% 7.26/2.52  % (3855641)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3855622"
% 7.26/2.52  % (3855644)Instruction limit reached! 
% 7.26/2.52  % (3855644)------------------------------
% 7.26/2.52  % (3855644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855644)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855644)Termination reason: Instruction limit
% 7.26/2.52  % (3855644)Termination phase: SInE selection
% 7.26/2.52  % (3855644)Time elapsed: 0.119 s
% 7.26/2.52  % (3855644)Peak memory usage: 111 MB
% 7.26/2.52  % (3855644)Instructions burned: 249 (million)
% 7.26/2.52  % (3855649)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=4052844373:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2986 on theBenchmark for (2986ds/294Mi)
% 7.26/2.52  % (3855650)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1484368714:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 7.26/2.52  % (3855643)------------------------------
% 7.26/2.52  % (3855643)------------------------------
% 7.26/2.52  % (3855649)Refutation not found, incomplete strategy
% 7.26/2.52  % (3855649)------------------------------
% 7.26/2.52  % (3855649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855649)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855649)Termination reason: Refutation not found, incomplete strategy
% 7.26/2.52  % (3855649)Time elapsed: 0.115 s
% 7.26/2.52  % (3855649)Peak memory usage: 118 MB
% 7.26/2.52  % (3855649)Instructions burned: 180 (million)
% 7.26/2.52  % (3855641)Refutation found. Thanks to Tanya!
% 7.26/2.52  % SZS status Theorem for theBenchmark
% 7.26/2.52  % SZS output start Proof for theBenchmark
% See solution above
% 7.26/2.52  % (3855641)------------------------------
% 7.26/2.52  % (3855641)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.26/2.52  % (3855641)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.26/2.52  % (3855641)CaDiCaL version: 2.1.3
% 7.26/2.52  % (3855641)Termination reason: Refutation
% 7.26/2.52  % (3855641)Time elapsed: 0.118 s
% 7.26/2.52  % (3855641)Peak memory usage: 119 MB
% 7.26/2.52  % (3855641)Instructions burned: 114 (million)
% 7.26/2.52  % (3855641)------------------------------
% 7.26/2.52  % (3855641)------------------------------
% 7.26/2.52  % (3855622)Success in time 1.733 s
% 7.26/2.52  % Vampire exiting
%------------------------------------------------------------------------------