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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR090+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 09:42:52 AM UTC 2026

% Result   : Theorem 3.48s 1.10s
% Output   : Refutation 3.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   42 (  19 unt;   0 def)
%            Number of atoms       :  108 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  134 (  68   ~;  54   |;   7   &)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :   42 (  42   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_26) ).

fof(f27,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X1,s__SetOrClass)
        & s__instance(X0,s__SetOrClass) )
     => ( ( s__subclass(X0,X1)
          & s__instance(X2,X0) )
       => s__instance(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_27) ).

fof(f905,axiom,
    s__subclass(s__TimeInterval,s__TimePosition),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_908) ).

fof(f1259,axiom,
    ! [X0,X1,X2] :
      ( ( s__instance(X2,s__TimePosition)
        & s__instance(X1,s__TimePosition)
        & s__instance(X0,s__TimePosition) )
     => ( ( s__temporalPart(X0,X1)
          & s__temporalPart(X1,X2) )
       => s__temporalPart(X0,X2) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_1262) ).

fof(f7218,axiom,
    s__instance(s__Time17_1,s__TimeInterval),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_1) ).

fof(f7219,axiom,
    s__instance(s__Time17_2,s__TimeInterval),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(f7220,axiom,
    s__instance(s__Time17_3,s__TimeInterval),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_3) ).

fof(f7221,axiom,
    s__temporalPart(s__Time17_1,s__Time17_2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_4) ).

fof(f7222,axiom,
    s__temporalPart(s__Time17_2,s__Time17_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_5) ).

fof(f7223,conjecture,
    s__temporalPart(s__Time17_1,s__Time17_3),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(f7224,negated_conjecture,
    ~ s__temporalPart(s__Time17_1,s__Time17_3),
    inference(negated_conjecture,[status(cth)],[f7223]) ).

fof(f7226,plain,
    ~ s__temporalPart(s__Time17_1,s__Time17_3),
    inference(flattening,[],[f7224]) ).

fof(f7239,plain,
    ! [X0,X1,X2] :
      ( s__temporalPart(X0,X2)
      | ~ s__temporalPart(X0,X1)
      | ~ s__temporalPart(X1,X2)
      | ~ s__instance(X2,s__TimePosition)
      | ~ s__instance(X1,s__TimePosition)
      | ~ s__instance(X0,s__TimePosition) ),
    inference(ennf_transformation,[],[f1259]) ).

fof(f7240,plain,
    ! [X0,X1,X2] :
      ( s__temporalPart(X0,X2)
      | ~ s__temporalPart(X0,X1)
      | ~ s__temporalPart(X1,X2)
      | ~ s__instance(X2,s__TimePosition)
      | ~ s__instance(X1,s__TimePosition)
      | ~ s__instance(X0,s__TimePosition) ),
    inference(flattening,[],[f7239]) ).

fof(f7277,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f7278,plain,
    ! [X0,X1,X2] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(flattening,[],[f7277]) ).

fof(f7279,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f7284,plain,
    ~ s__temporalPart(s__Time17_1,s__Time17_3),
    inference(cnf_transformation,[],[f7226]) ).

fof(f7295,plain,
    ! [X2,X0,X1] :
      ( s__temporalPart(X0,X2)
      | ~ s__temporalPart(X0,X1)
      | ~ s__temporalPart(X1,X2)
      | ~ s__instance(X2,s__TimePosition)
      | ~ s__instance(X1,s__TimePosition)
      | ~ s__instance(X0,s__TimePosition) ),
    inference(cnf_transformation,[],[f7240]) ).

fof(f7298,plain,
    s__temporalPart(s__Time17_1,s__Time17_2),
    inference(cnf_transformation,[],[f7221]) ).

fof(f7299,plain,
    s__instance(s__Time17_1,s__TimeInterval),
    inference(cnf_transformation,[],[f7218]) ).

fof(f7300,plain,
    s__temporalPart(s__Time17_2,s__Time17_3),
    inference(cnf_transformation,[],[f7222]) ).

fof(f7301,plain,
    s__instance(s__Time17_3,s__TimeInterval),
    inference(cnf_transformation,[],[f7220]) ).

fof(f7309,plain,
    s__subclass(s__TimeInterval,s__TimePosition),
    inference(cnf_transformation,[],[f905]) ).

fof(f7325,plain,
    s__instance(s__Time17_2,s__TimeInterval),
    inference(cnf_transformation,[],[f7219]) ).

fof(f7328,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X1,s__SetOrClass)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(cnf_transformation,[],[f7278]) ).

fof(f7329,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7279]) ).

fof(f7330,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7279]) ).

fof(f7375,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0)
      | ~ s__instance(X0,s__SetOrClass) ),
    inference(forward_subsumption_resolution,[],[f7328,f7329]) ).

fof(f7376,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f7375,f7330]) ).

fof(f7395,plain,
    ! [X0] :
      ( ~ s__temporalPart(s__Time17_1,X0)
      | ~ s__temporalPart(X0,s__Time17_3)
      | ~ s__instance(s__Time17_3,s__TimePosition)
      | ~ s__instance(X0,s__TimePosition)
      | ~ s__instance(s__Time17_1,s__TimePosition) ),
    inference(resolution,[],[f7295,f7284]) ).

fof(f7406,plain,
    ( ~ s__temporalPart(s__Time17_2,s__Time17_3)
    | ~ s__instance(s__Time17_3,s__TimePosition)
    | ~ s__instance(s__Time17_2,s__TimePosition)
    | ~ s__instance(s__Time17_1,s__TimePosition) ),
    inference(resolution,[],[f7395,f7298]) ).

fof(f7414,plain,
    ( ~ s__instance(s__Time17_3,s__TimePosition)
    | ~ s__instance(s__Time17_2,s__TimePosition)
    | ~ s__instance(s__Time17_1,s__TimePosition) ),
    inference(forward_subsumption_resolution,[],[f7406,f7300]) ).

fof(f7417,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__Time17_1,s__TimePosition)
      | ~ s__instance(s__Time17_2,s__TimePosition)
      | ~ s__instance(s__Time17_3,X0) ),
    inference(resolution,[],[f7414,f7376]) ).

fof(f7419,plain,
    ( ~ s__instance(s__Time17_1,s__TimePosition)
    | ~ s__instance(s__Time17_2,s__TimePosition)
    | ~ s__instance(s__Time17_3,s__TimeInterval) ),
    inference(resolution,[],[f7417,f7309]) ).

fof(f7421,plain,
    ( ~ s__instance(s__Time17_2,s__TimePosition)
    | ~ s__instance(s__Time17_1,s__TimePosition) ),
    inference(forward_subsumption_resolution,[],[f7419,f7301]) ).

fof(f7425,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__Time17_1,s__TimePosition)
      | ~ s__instance(s__Time17_2,X0) ),
    inference(resolution,[],[f7421,f7376]) ).

fof(f7431,plain,
    ( ~ s__instance(s__Time17_1,s__TimePosition)
    | ~ s__instance(s__Time17_2,s__TimeInterval) ),
    inference(resolution,[],[f7425,f7309]) ).

fof(f7434,plain,
    ~ s__instance(s__Time17_1,s__TimePosition),
    inference(forward_subsumption_resolution,[],[f7431,f7325]) ).

fof(f7443,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__Time17_1,X0) ),
    inference(resolution,[],[f7434,f7376]) ).

fof(f7450,plain,
    ~ s__instance(s__Time17_1,s__TimeInterval),
    inference(resolution,[],[f7443,f7309]) ).

fof(f7453,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f7450,f7299]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR090+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.16  % Computer : n007.cluster.edu
% 0.09/0.16  % Model    : x86_64 x86_64
% 0.09/0.16  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.16  % Memory   : 8046.5625MB
% 0.09/0.16  % OS       : Linux 6.8.0-71-generic
% 0.09/0.16  % CPULimit : 300
% 0.09/0.16  % WCLimit  : 300
% 0.09/0.16  % DateTime : Mon Sep 28 22:37:56 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  Running first-order theorem proving
% 0.09/0.20  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
% 3.48/1.10  % (2934417)Detected formulas, will run a generic FOF schedule.
% 3.48/1.10  % (2934427)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=463303975:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.48/1.10  % (2934426)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=670810445:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.48/1.10  % (2934422)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=2303405023:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.48/1.10  % (2934425)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3387627670:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.48/1.10  % (2934423)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=4244607049:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.48/1.10  % (2934424)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=3590979508:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.48/1.10  % (2934428)dis-21_1_sil=8000:lcm=predicate:random_seed=3324632941:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.48/1.10  % (2934425)Refutation not found, incomplete strategy
% 3.48/1.10  % (2934425)------------------------------
% 3.48/1.10  % (2934425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.10  % (2934425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.10  % (2934425)CaDiCaL version: 2.1.3
% 3.48/1.10  % (2934425)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.10  % (2934425)Time elapsed: 0.022 s
% 3.48/1.10  % (2934425)Peak memory usage: 94 MB
% 3.48/1.10  % (2934425)Instructions burned: 38 (million)
% 3.48/1.10  % (2934426)First to succeed.
% 3.48/1.10  % (2934426)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2934417"
% 3.48/1.10  % (2934427)Instruction limit reached! 
% 3.48/1.10  % (2934427)------------------------------
% 3.48/1.10  % (2934427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.10  % (2934427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.10  % (2934427)CaDiCaL version: 2.1.3
% 3.48/1.10  % (2934427)Termination reason: Instruction limit
% 3.48/1.10  % (2934427)Termination phase: Preprocessing 3
% 3.48/1.10  % (2934427)Time elapsed: 0.044 s
% 3.48/1.10  % (2934427)Peak memory usage: 94 MB
% 3.48/1.10  % (2934427)Instructions burned: 140 (million)
% 3.48/1.10  % (2934428)Instruction limit reached! 
% 3.48/1.10  % (2934428)------------------------------
% 3.48/1.10  % (2934428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.10  % (2934428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.10  % (2934428)CaDiCaL version: 2.1.3
% 3.48/1.10  % (2934428)Termination reason: Instruction limit
% 3.48/1.10  % (2934428)Termination phase: Property scanning
% 3.48/1.10  % (2934428)Time elapsed: 0.075 s
% 3.48/1.10  % (2934428)Peak memory usage: 94 MB
% 3.48/1.10  % (2934428)Instructions burned: 131 (million)
% 3.48/1.10  % (2934436)lrs+10_1_sil=8000:sp=occurrence:random_seed=1953979403:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.48/1.10  % (2934436)Also succeeded, but the first one will report.
% 3.48/1.10  % (2934437)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3526730217:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.48/1.10  % (2934437)Refutation not found, incomplete strategy
% 3.48/1.10  % (2934437)------------------------------
% 3.48/1.10  % (2934437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.10  % (2934437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.10  % (2934437)CaDiCaL version: 2.1.3
% 3.48/1.10  % (2934437)Termination reason: Refutation not found, incomplete strategy
% 3.48/1.10  % (2934437)Time elapsed: 0.041 s
% 3.48/1.10  % (2934437)Peak memory usage: 95 MB
% 3.48/1.10  % (2934437)Instructions burned: 83 (million)
% 3.48/1.10  % (2934425)------------------------------
% 3.48/1.10  % (2934425)------------------------------
% 3.48/1.10  % (2934426)Refutation found. Thanks to Tanya!
% 3.48/1.10  % SZS status Theorem for theBenchmark
% 3.48/1.10  % SZS output start Proof for theBenchmark
% See solution above
% 3.48/1.10  % (2934426)------------------------------
% 3.48/1.10  % (2934426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.48/1.10  % (2934426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.48/1.10  % (2934426)CaDiCaL version: 2.1.3
% 3.48/1.10  % (2934426)Termination reason: Refutation
% 3.48/1.10  % (2934426)Time elapsed: 0.026 s
% 3.48/1.10  % (2934426)Peak memory usage: 95 MB
% 3.48/1.10  % (2934426)Instructions burned: 45 (million)
% 3.48/1.10  % (2934426)------------------------------
% 3.48/1.10  % (2934426)------------------------------
% 3.48/1.10  % (2934417)Success in time 0.506 s
% 3.48/1.10  % Vampire exiting
%------------------------------------------------------------------------------