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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR066+4 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:42:32 AM UTC 2026

% Result   : Theorem 5.37s 2.35s
% Output   : Refutation 5.37s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   28 (   8 unt;   0 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   54 (  26   ~;  18   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-4 aty)
%            Number of variables   :   32 (  30   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1502,axiom,
    ! [X0] :
      ( shavingrazor_manual(X0)
     => tptp_8_271(f_relationexistsallfn(X0,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1502) ).

fof(f1503,axiom,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_1503) ).

fof(f3201,axiom,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_3201) ).

fof(f4485,axiom,
    ! [X0,X1,X2,X3] :
      ( ( isa(X0,X1)
        & relationexistsall(X2,X3,X1) )
     => isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_4485) ).

fof(f43030,axiom,
    ! [X0] :
      ( shavingrazor_manual(X0)
     => isa(X0,c_shavingrazor_manual) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_43030) ).

fof(f43031,axiom,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_25972)
     => tptpcol_16_25972(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3_43031) ).

fof(f44217,conjecture,
    ? [X0] :
      ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
     => ( tptp_8_271(X0,c_theprototypicalshavingrazor_manual)
        & tptpcol_16_25972(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query216) ).

fof(f44218,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21))
       => ( tptp_8_271(X0,c_theprototypicalshavingrazor_manual)
          & tptpcol_16_25972(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f44217]) ).

fof(f44225,plain,
    ! [X0] :
      ( ( ~ tptp_8_271(X0,c_theprototypicalshavingrazor_manual)
        | ~ tptpcol_16_25972(X0) )
      & mtvisible(f_contentmtofcdafromeventfn(f_urlreferentfn(f_urlfn(s_http_webnjiteducjohnsontreebiochhtm)),c_translation_21)) ),
    inference(ennf_transformation,[],[f44218]) ).

fof(f44229,plain,
    ! [X0] :
      ( tptpcol_16_25972(X0)
      | ~ isa(X0,c_tptpcol_16_25972) ),
    inference(ennf_transformation,[],[f43031]) ).

fof(f44233,plain,
    ! [X0] :
      ( tptp_8_271(f_relationexistsallfn(X0,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),X0)
      | ~ shavingrazor_manual(X0) ),
    inference(ennf_transformation,[],[f1502]) ).

fof(f44236,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ isa(X0,X1)
      | ~ relationexistsall(X2,X3,X1) ),
    inference(ennf_transformation,[],[f4485]) ).

fof(f44237,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ isa(X0,X1)
      | ~ relationexistsall(X2,X3,X1) ),
    inference(flattening,[],[f44236]) ).

fof(f44238,plain,
    ! [X0] :
      ( isa(X0,c_shavingrazor_manual)
      | ~ shavingrazor_manual(X0) ),
    inference(ennf_transformation,[],[f43030]) ).

fof(f44241,plain,
    ! [X0] :
      ( ~ tptp_8_271(X0,c_theprototypicalshavingrazor_manual)
      | ~ tptpcol_16_25972(X0) ),
    inference(cnf_transformation,[],[f44225]) ).

fof(f44302,plain,
    shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(cnf_transformation,[],[f3201]) ).

fof(f44304,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_25972)
      | tptpcol_16_25972(X0) ),
    inference(cnf_transformation,[],[f44229]) ).

fof(f44309,plain,
    relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),
    inference(cnf_transformation,[],[f1503]) ).

fof(f44310,plain,
    ! [X0] :
      ( tptp_8_271(f_relationexistsallfn(X0,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual),X0)
      | ~ shavingrazor_manual(X0) ),
    inference(cnf_transformation,[],[f44233]) ).

fof(f44312,plain,
    ! [X2,X3,X0,X1] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ isa(X0,X1)
      | ~ relationexistsall(X2,X3,X1) ),
    inference(cnf_transformation,[],[f44237]) ).

fof(f44313,plain,
    ! [X0] :
      ( isa(X0,c_shavingrazor_manual)
      | ~ shavingrazor_manual(X0) ),
    inference(cnf_transformation,[],[f44238]) ).

fof(f44550,plain,
    ( ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual)
    | ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)) ),
    inference(resolution,[],[f44310,f44241]) ).

fof(f44551,plain,
    ~ tptpcol_16_25972(f_relationexistsallfn(c_theprototypicalshavingrazor_manual,c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)),
    inference(forward_subsumption_resolution,[],[f44550,f44302]) ).

fof(f44552,plain,
    ! [X2,X0,X1] :
      ( tptpcol_16_25972(f_relationexistsallfn(X0,X2,c_tptpcol_16_25972,X1))
      | ~ relationexistsall(X2,c_tptpcol_16_25972,X1)
      | ~ isa(X0,X1) ),
    inference(resolution,[],[f44312,f44304]) ).

fof(f44554,plain,
    ( ~ relationexistsall(c_tptp_8_271,c_tptpcol_16_25972,c_shavingrazor_manual)
    | ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual) ),
    inference(resolution,[],[f44552,f44551]) ).

fof(f44555,plain,
    ~ isa(c_theprototypicalshavingrazor_manual,c_shavingrazor_manual),
    inference(forward_subsumption_resolution,[],[f44554,f44309]) ).

fof(f44556,plain,
    ~ shavingrazor_manual(c_theprototypicalshavingrazor_manual),
    inference(resolution,[],[f44555,f44313]) ).

fof(f44557,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f44556,f44302]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR066+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  % Computer : n002.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 22:26:07 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24  Running first-order theorem proving
% 0.10/0.24  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.37/2.35  % (850590)Detected formulas, will run a generic FOF schedule.
% 5.37/2.35  % (850599)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3779607239:i=119:av=off:ss=axioms_2990 on theBenchmark for (2990ds/119Mi)
% 5.37/2.35  % (850600)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2131131377:s2a=on:i=139:gtg=position_2990 on theBenchmark for (2990ds/139Mi)
% 5.37/2.35  % (850598)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2196578869:i=109:sd=1:ins=1:gsp=on:ss=axioms_2990 on theBenchmark for (2990ds/109Mi)
% 5.37/2.35  % (850597)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=1437091705:i=141695:sd=1:nm=32:gsp=on:ss=included_2990 on theBenchmark for (2990ds/141695Mi)
% 5.37/2.35  % (850595)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=2655455774:i=141193_2990 on theBenchmark for (2990ds/141193Mi)
% 5.37/2.35  % (850596)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=2532669065:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2990 on theBenchmark for (2990ds/134677Mi)
% 5.37/2.35  % (850599)Instruction limit reached! 
% 5.37/2.35  % (850599)------------------------------
% 5.37/2.35  % (850599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/2.35  % (850599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/2.35  % (850599)CaDiCaL version: 2.1.3
% 5.37/2.35  % (850599)Termination reason: Instruction limit
% 5.37/2.35  % (850599)Termination phase: Saturation
% 5.37/2.35  % (850599)Time elapsed: 0.051 s
% 5.37/2.35  % (850599)Peak memory usage: 116 MB
% 5.37/2.35  % (850599)Instructions burned: 124 (million)
% 5.37/2.35  % (850601)dis-21_1_sil=8000:lcm=predicate:random_seed=1237659738: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)
% 5.37/2.35  % (850600)Instruction limit reached! 
% 5.37/2.35  % (850600)------------------------------
% 5.37/2.35  % (850600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/2.35  % (850600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/2.35  % (850600)CaDiCaL version: 2.1.3
% 5.37/2.35  % (850600)Termination reason: Instruction limit
% 5.37/2.35  % (850600)Termination phase: Property scanning
% 5.37/2.35  % (850600)Time elapsed: 0.065 s
% 5.37/2.35  % (850600)Peak memory usage: 110 MB
% 5.37/2.35  % (850600)Instructions burned: 140 (million)
% 5.37/2.35  % (850598)Instruction limit reached! 
% 5.37/2.35  % (850598)------------------------------
% 5.37/2.35  % (850598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/2.35  % (850598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/2.35  % (850598)CaDiCaL version: 2.1.3
% 5.37/2.35  % (850598)Termination reason: Instruction limit
% 5.37/2.35  % (850598)Termination phase: Saturation
% 5.37/2.35  % (850598)Time elapsed: 0.081 s
% 5.37/2.35  % (850598)Peak memory usage: 116 MB
% 5.37/2.35  % (850598)Instructions burned: 111 (million)
% 5.37/2.35  % (850601)Instruction limit reached! 
% 5.37/2.35  % (850601)------------------------------
% 5.37/2.35  % (850601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/2.35  % (850601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/2.35  % (850601)CaDiCaL version: 2.1.3
% 5.37/2.35  % (850601)Termination reason: Instruction limit
% 5.37/2.35  % (850601)Termination phase: SInE selection
% 5.37/2.35  % (850601)Time elapsed: 0.079 s
% 5.37/2.35  % (850601)Peak memory usage: 111 MB
% 5.37/2.35  % (850601)Instructions burned: 130 (million)
% 5.37/2.35  % (850609)lrs+10_1_sil=8000:sp=occurrence:random_seed=2286575510:i=285:sd=3:ss=axioms:sgt=8_2989 on theBenchmark for (2989ds/285Mi)
% 5.37/2.35  % (850609)First to succeed.
% 5.37/2.35  % (850610)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1539344253:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/157Mi)
% 5.37/2.35  % (850609)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-850590"
% 5.37/2.35  % (850611)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1626528446:i=325:sd=1:ss=axioms:sgt=32_2988 on theBenchmark for (2988ds/325Mi)
% 5.37/2.35  % (850612)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=114419489:s2a=on:i=248:s2at=1.23:gtg=position_2988 on theBenchmark for (2988ds/248Mi)
% 5.37/2.35  % (850610)Instruction limit reached! 
% 5.37/2.35  % (850610)------------------------------
% 5.37/2.35  % (850610)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/2.35  % (850610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/2.35  % (850610)CaDiCaL version: 2.1.3
% 5.37/2.35  % (850610)Termination reason: Instruction limit
% 5.37/2.35  % (850610)Termination phase: Property scanning
% 5.37/2.35  % (850610)Time elapsed: 0.103 s
% 5.37/2.35  % (850610)Peak memory usage: 110 MB
% 5.37/2.35  % (850610)Instructions burned: 158 (million)
% 5.37/2.35  % (850611)Refutation not found, incomplete strategy
% 5.37/2.35  % (850611)------------------------------
% 5.37/2.35  % (850611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/2.35  % (850611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/2.35  % (850611)CaDiCaL version: 2.1.3
% 5.37/2.35  % (850611)Termination reason: Refutation not found, incomplete strategy
% 5.37/2.35  % (850611)Time elapsed: 0.090 s
% 5.37/2.35  % (850611)Peak memory usage: 119 MB
% 5.37/2.35  % (850611)Instructions burned: 117 (million)
% 5.37/2.35  % (850609)Refutation found. Thanks to Tanya!
% 5.37/2.35  % SZS status Theorem for theBenchmark
% 5.37/2.35  % SZS output start Proof for theBenchmark
% See solution above
% 5.37/2.35  % (850609)------------------------------
% 5.37/2.35  % (850609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.37/2.35  % (850609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.37/2.35  % (850609)CaDiCaL version: 2.1.3
% 5.37/2.35  % (850609)Termination reason: Refutation
% 5.37/2.35  % (850609)Time elapsed: 0.058 s
% 5.37/2.35  % (850609)Peak memory usage: 119 MB
% 5.37/2.35  % (850609)Instructions burned: 123 (million)
% 5.37/2.35  % (850609)------------------------------
% 5.37/2.35  % (850609)------------------------------
% 5.37/2.35  % (850590)Success in time 1.439 s
% 5.37/2.35  % Vampire exiting
%------------------------------------------------------------------------------