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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR104+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n013.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 09:43:04 AM UTC 2026

% Result   : Theorem 1.56s 1.58s
% Output   : Refutation 4.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   51 (  21 unt;   0 def)
%            Number of atoms       :  141 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  182 (  92   ~;  75   |;   8   &)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :   50 (  50   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f26,axiom,
    ! [X0,X1] :
      ( s__subclass(X0,X1)
     => ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) ) ),
    file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_27) ).

fof(f68,axiom,
    ! [X0,X1] :
      ( ( s__instance(X1,s__TimeInterval)
        & s__instance(X0,s__TimeInterval) )
     => ( s__during(X0,X1)
       => s__temporalPart(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_68) ).

fof(f1009,axiom,
    s__subclass(s__TimeInterval,s__TimePosition),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1012) ).

fof(f1013,axiom,
    s__subclass(s__TimePoint,s__TimePosition),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1016) ).

fof(f1499,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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1502) ).

fof(f16749,axiom,
    s__instance(s__TimePoint35_1,s__TimePoint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(f16750,axiom,
    s__instance(s__TimeInterval35_1,s__TimeInterval),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).

fof(f16751,axiom,
    s__instance(s__TimeInterval35_2,s__TimeInterval),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_3) ).

fof(f16752,axiom,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_4) ).

fof(f16753,axiom,
    s__during(s__TimeInterval35_1,s__TimeInterval35_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_5) ).

fof(f16754,conjecture,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f16755,negated_conjecture,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(negated_conjecture,[status(cth)],[f16754]) ).

fof(f16756,plain,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(flattening,[],[f16755]) ).

fof(f16771,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,[],[f1499]) ).

fof(f16772,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,[],[f16771]) ).

fof(f16829,plain,
    ! [X0,X1] :
      ( s__temporalPart(X0,X1)
      | ~ s__during(X0,X1)
      | ~ s__instance(X1,s__TimeInterval)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(ennf_transformation,[],[f68]) ).

fof(f16830,plain,
    ! [X0,X1] :
      ( s__temporalPart(X0,X1)
      | ~ s__during(X0,X1)
      | ~ s__instance(X1,s__TimeInterval)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(flattening,[],[f16829]) ).

fof(f16834,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(f16835,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,[],[f16834]) ).

fof(f16836,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f16913,plain,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(cnf_transformation,[],[f16756]) ).

fof(f16925,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,[],[f16772]) ).

fof(f16928,plain,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
    inference(cnf_transformation,[],[f16752]) ).

fof(f16929,plain,
    s__instance(s__TimePoint35_1,s__TimePoint),
    inference(cnf_transformation,[],[f16749]) ).

fof(f16930,plain,
    s__during(s__TimeInterval35_1,s__TimeInterval35_2),
    inference(cnf_transformation,[],[f16753]) ).

fof(f16931,plain,
    s__instance(s__TimeInterval35_2,s__TimeInterval),
    inference(cnf_transformation,[],[f16751]) ).

fof(f16938,plain,
    s__subclass(s__TimeInterval,s__TimePosition),
    inference(cnf_transformation,[],[f1009]) ).

fof(f16944,plain,
    s__subclass(s__TimePoint,s__TimePosition),
    inference(cnf_transformation,[],[f1013]) ).

fof(f16960,plain,
    s__instance(s__TimeInterval35_1,s__TimeInterval),
    inference(cnf_transformation,[],[f16750]) ).

fof(f16969,plain,
    ! [X0,X1] :
      ( s__temporalPart(X0,X1)
      | ~ s__during(X0,X1)
      | ~ s__instance(X1,s__TimeInterval)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(cnf_transformation,[],[f16830]) ).

fof(f16972,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,[],[f16835]) ).

fof(f16973,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f16836]) ).

fof(f16974,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f16836]) ).

fof(f17118,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,[],[f16972,f16973]) ).

fof(f17119,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f17118,f16974]) ).

fof(f17185,plain,
    ! [X0] :
      ( ~ s__temporalPart(s__TimePoint35_1,X0)
      | ~ s__temporalPart(X0,s__TimeInterval35_2)
      | ~ s__instance(s__TimeInterval35_2,s__TimePosition)
      | ~ s__instance(X0,s__TimePosition)
      | ~ s__instance(s__TimePoint35_1,s__TimePosition) ),
    inference(resolution,[],[f16925,f16913]) ).

fof(f17194,plain,
    ( ~ s__temporalPart(s__TimeInterval35_1,s__TimeInterval35_2)
    | ~ s__instance(s__TimeInterval35_2,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition) ),
    inference(resolution,[],[f17185,f16928]) ).

fof(f17211,plain,
    ( ~ s__instance(s__TimeInterval35_2,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition)
    | ~ s__during(s__TimeInterval35_1,s__TimeInterval35_2)
    | ~ s__instance(s__TimeInterval35_2,s__TimeInterval)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
    inference(resolution,[],[f17194,f16969]) ).

fof(f17213,plain,
    ( ~ s__instance(s__TimeInterval35_2,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_2,s__TimeInterval)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
    inference(forward_subsumption_resolution,[],[f17211,f16930]) ).

fof(f17214,plain,
    ( ~ s__instance(s__TimeInterval35_2,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
    inference(forward_subsumption_resolution,[],[f17213,f16931]) ).

fof(f17215,plain,
    ( ~ s__instance(s__TimeInterval35_2,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition) ),
    inference(forward_subsumption_resolution,[],[f17214,f16960]) ).

fof(f17224,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__TimePoint35_1,s__TimePosition)
      | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
      | ~ s__instance(s__TimeInterval35_2,X0) ),
    inference(resolution,[],[f17215,f17119]) ).

fof(f17230,plain,
    ( ~ s__instance(s__TimePoint35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_2,s__TimeInterval) ),
    inference(resolution,[],[f17224,f16938]) ).

fof(f17233,plain,
    ( ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition) ),
    inference(forward_subsumption_resolution,[],[f17230,f16931]) ).

fof(f17240,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__TimePoint35_1,s__TimePosition)
      | ~ s__instance(s__TimeInterval35_1,X0) ),
    inference(resolution,[],[f17233,f17119]) ).

fof(f17243,plain,
    ( ~ s__instance(s__TimePoint35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
    inference(resolution,[],[f17240,f16938]) ).

fof(f17247,plain,
    ~ s__instance(s__TimePoint35_1,s__TimePosition),
    inference(forward_subsumption_resolution,[],[f17243,f16960]) ).

fof(f17255,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__TimePoint35_1,X0) ),
    inference(resolution,[],[f17247,f17119]) ).

fof(f17261,plain,
    ~ s__instance(s__TimePoint35_1,s__TimePoint),
    inference(resolution,[],[f17255,f16944]) ).

fof(f17264,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f17261,f16929]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR104+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19  % Computer : n013.cluster.edu
% 0.08/0.19  % Model    : x86_64 x86_64
% 0.08/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19  % Memory   : 8046.5625MB
% 0.08/0.19  % OS       : Linux 6.8.0-71-generic
% 0.08/0.19  % CPULimit : 300
% 0.08/0.19  % WCLimit  : 300
% 0.08/0.19  % DateTime : Mon Sep 28 22:54:21 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23  Running first-order theorem proving
% 0.08/0.23  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
% 1.56/1.58  % (1671466)Detected formulas, will run a generic FOF schedule.
% 1.56/1.58  % (1671472)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=772195421:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 1.56/1.58  % (1671477)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2602695864:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 1.56/1.58  % (1671478)dis-21_1_sil=8000:lcm=predicate:random_seed=2648472826:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 1.56/1.58  % (1671476)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1302899685:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 1.56/1.58  % (1671475)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=822534518:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 1.56/1.58  % (1671473)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=425497265:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 1.56/1.58  % (1671474)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=2817683336:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 1.56/1.58  % (1671475)Refutation not found, incomplete strategy
% 1.56/1.58  % (1671475)------------------------------
% 1.56/1.58  % (1671475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.58  % (1671475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.58  % (1671475)CaDiCaL version: 2.1.3
% 1.56/1.58  % (1671475)Termination reason: Refutation not found, incomplete strategy
% 1.56/1.58  % (1671475)Time elapsed: 0.041 s
% 1.56/1.58  % (1671475)Peak memory usage: 103 MB
% 1.56/1.58  % (1671475)Instructions burned: 61 (million)
% 1.56/1.58  % (1671476)First to succeed.
% 1.56/1.58  % (1671476)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1671466"
% 1.56/1.58  % (1671477)Instruction limit reached! 
% 1.56/1.58  % (1671477)------------------------------
% 1.56/1.58  % (1671477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.58  % (1671477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.58  % (1671477)CaDiCaL version: 2.1.3
% 1.56/1.58  % (1671477)Termination reason: Instruction limit
% 1.56/1.58  % (1671477)Termination phase: SInE selection
% 1.56/1.58  % (1671477)Time elapsed: 0.073 s
% 1.56/1.58  % (1671477)Peak memory usage: 99 MB
% 1.56/1.58  % (1671477)Instructions burned: 139 (million)
% 1.56/1.58  % (1671478)Instruction limit reached! 
% 1.56/1.58  % (1671478)------------------------------
% 1.56/1.58  % (1671478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.56/1.58  % (1671478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.56/1.58  % (1671478)CaDiCaL version: 2.1.3
% 1.56/1.58  % (1671478)Termination reason: Instruction limit
% 1.56/1.58  % (1671478)Termination phase: Property scanning
% 1.56/1.58  % (1671478)Time elapsed: 0.086 s
% 1.56/1.58  % (1671478)Peak memory usage: 101 MB
% 1.56/1.58  % (1671478)Instructions burned: 129 (million)
% 1.56/1.58  % (1671486)lrs+10_1_sil=8000:sp=occurrence:random_seed=2513029965:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 1.56/1.58  % (1671487)lrs+10_1_sil=32000:urr=on:br=off:random_seed=861073041:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/157Mi)
% 1.56/1.58  % (1671475)------------------------------
% 1.56/1.58  % (1671475)------------------------------
% 1.56/1.58  % (1671486)Also succeeded, but the first one will report.
% 1.56/1.58  % (1671476)Refutation found. Thanks to Tanya!
% 1.56/1.58  % SZS status Theorem for theBenchmark
% 1.56/1.58  % SZS output start Proof for theBenchmark
% See solution above
% 4.58/1.82  % (1671476)------------------------------
% 4.58/1.82  % (1671476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.58/1.82  % (1671476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.58/1.82  % (1671476)CaDiCaL version: 2.1.3
% 4.58/1.82  % (1671476)Termination reason: Refutation
% 4.58/1.82  % (1671476)Time elapsed: 0.053 s
% 4.58/1.82  % (1671476)Peak memory usage: 103 MB
% 4.58/1.82  % (1671476)Instructions burned: 78 (million)
% 4.58/1.82  % (1671476)------------------------------
% 4.58/1.82  % (1671476)------------------------------
% 4.58/1.82  % (1671466)Success in time 0.911 s
% 4.58/1.82  % Vampire exiting
%------------------------------------------------------------------------------