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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR104+4 : 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 : n017.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 2.88s 1.33s
% Output   : Refutation 4.08s
% 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(f74,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_74) ).

fof(f905,axiom,
    s__subclass(s__TimeInterval,s__TimePosition),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_908) ).

fof(f909,axiom,
    s__subclass(s__TimePoint,s__TimePosition),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_912) ).

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/sandbox2/benchmark/theBenchmark.p',kb_SUMO_1262) ).

fof(f7218,axiom,
    s__instance(s__TimePoint35_1,s__TimePoint),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_1) ).

fof(f7219,axiom,
    s__instance(s__TimeInterval35_1,s__TimeInterval),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).

fof(f7220,axiom,
    s__instance(s__TimeInterval35_2,s__TimeInterval),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_3) ).

fof(f7221,axiom,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_4) ).

fof(f7222,axiom,
    s__during(s__TimeInterval35_1,s__TimeInterval35_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_5) ).

fof(f7223,conjecture,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO) ).

fof(f7224,negated_conjecture,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(negated_conjecture,[status(cth)],[f7223]) ).

fof(f7226,plain,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    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(f7287,plain,
    ! [X0,X1] :
      ( s__temporalPart(X0,X1)
      | ~ s__during(X0,X1)
      | ~ s__instance(X1,s__TimeInterval)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(ennf_transformation,[],[f74]) ).

fof(f7288,plain,
    ! [X0,X1] :
      ( s__temporalPart(X0,X1)
      | ~ s__during(X0,X1)
      | ~ s__instance(X1,s__TimeInterval)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(flattening,[],[f7287]) ).

fof(f7292,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(f7293,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,[],[f7292]) ).

fof(f7294,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f7408,plain,
    ~ s__temporalPart(s__TimePoint35_1,s__TimeInterval35_2),
    inference(cnf_transformation,[],[f7226]) ).

fof(f7419,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(f7422,plain,
    s__temporalPart(s__TimePoint35_1,s__TimeInterval35_1),
    inference(cnf_transformation,[],[f7221]) ).

fof(f7423,plain,
    s__instance(s__TimePoint35_1,s__TimePoint),
    inference(cnf_transformation,[],[f7218]) ).

fof(f7424,plain,
    s__during(s__TimeInterval35_1,s__TimeInterval35_2),
    inference(cnf_transformation,[],[f7222]) ).

fof(f7425,plain,
    s__instance(s__TimeInterval35_2,s__TimeInterval),
    inference(cnf_transformation,[],[f7220]) ).

fof(f7432,plain,
    s__subclass(s__TimePoint,s__TimePosition),
    inference(cnf_transformation,[],[f909]) ).

fof(f7433,plain,
    s__subclass(s__TimeInterval,s__TimePosition),
    inference(cnf_transformation,[],[f905]) ).

fof(f7449,plain,
    s__instance(s__TimeInterval35_1,s__TimeInterval),
    inference(cnf_transformation,[],[f7219]) ).

fof(f7458,plain,
    ! [X0,X1] :
      ( s__temporalPart(X0,X1)
      | ~ s__during(X0,X1)
      | ~ s__instance(X1,s__TimeInterval)
      | ~ s__instance(X0,s__TimeInterval) ),
    inference(cnf_transformation,[],[f7288]) ).

fof(f7461,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,[],[f7293]) ).

fof(f7462,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7294]) ).

fof(f7463,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f7294]) ).

fof(f7643,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,[],[f7461,f7462]) ).

fof(f7644,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f7643,f7463]) ).

fof(f7757,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,[],[f7419,f7408]) ).

fof(f7766,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,[],[f7757,f7422]) ).

fof(f7783,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,[],[f7766,f7458]) ).

fof(f7785,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,[],[f7783,f7424]) ).

fof(f7786,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,[],[f7785,f7425]) ).

fof(f7787,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,[],[f7786,f7449]) ).

fof(f7796,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,[],[f7787,f7644]) ).

fof(f7803,plain,
    ( ~ s__instance(s__TimePoint35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_2,s__TimeInterval) ),
    inference(resolution,[],[f7796,f7433]) ).

fof(f7805,plain,
    ( ~ s__instance(s__TimeInterval35_1,s__TimePosition)
    | ~ s__instance(s__TimePoint35_1,s__TimePosition) ),
    inference(forward_subsumption_resolution,[],[f7803,f7425]) ).

fof(f7821,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__TimePoint35_1,s__TimePosition)
      | ~ s__instance(s__TimeInterval35_1,X0) ),
    inference(resolution,[],[f7805,f7644]) ).

fof(f7825,plain,
    ( ~ s__instance(s__TimePoint35_1,s__TimePosition)
    | ~ s__instance(s__TimeInterval35_1,s__TimeInterval) ),
    inference(resolution,[],[f7821,f7433]) ).

fof(f7828,plain,
    ~ s__instance(s__TimePoint35_1,s__TimePosition),
    inference(forward_subsumption_resolution,[],[f7825,f7449]) ).

fof(f7836,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__TimePosition)
      | ~ s__instance(s__TimePoint35_1,X0) ),
    inference(resolution,[],[f7828,f7644]) ).

fof(f7841,plain,
    ~ s__instance(s__TimePoint35_1,s__TimePoint),
    inference(resolution,[],[f7836,f7432]) ).

fof(f7845,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f7841,f7423]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : CSR104+4 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20  % Computer : n017.cluster.edu
% 0.08/0.20  % Model    : x86_64 x86_64
% 0.08/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20  % Memory   : 8046.5625MB
% 0.08/0.20  % OS       : Linux 6.8.0-71-generic
% 0.08/0.20  % CPULimit : 300
% 0.08/0.20  % WCLimit  : 300
% 0.08/0.20  % DateTime : Mon Sep 28 22:50:26 UTC 2026
% 0.08/0.20  % CPUTime  : 
% 0.08/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.24  Running first-order theorem proving
% 0.08/0.24  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
% 2.88/1.33  % (4118953)Detected formulas, will run a generic FOF schedule.
% 2.88/1.33  % (4118958)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=3173099783:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 2.88/1.33  % (4118959)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=140723043:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 2.88/1.33  % (4118960)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=3032839674:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 2.88/1.33  % (4118962)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1573619345:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 2.88/1.33  % (4118961)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3398795459:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 2.88/1.33  % (4118964)dis-21_1_sil=8000:lcm=predicate:random_seed=1530978877:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 2.88/1.33  % (4118963)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1173218015:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 2.88/1.33  % (4118961)Refutation not found, incomplete strategy
% 2.88/1.33  % (4118961)------------------------------
% 2.88/1.33  % (4118961)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.33  % (4118961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.33  % (4118961)CaDiCaL version: 2.1.3
% 2.88/1.33  % (4118961)Termination reason: Refutation not found, incomplete strategy
% 2.88/1.33  % (4118961)Time elapsed: 0.021 s
% 2.88/1.33  % (4118961)Peak memory usage: 94 MB
% 2.88/1.33  % (4118961)Instructions burned: 38 (million)
% 2.88/1.33  % (4118962)First to succeed.
% 2.88/1.33  % (4118962)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-4118953"
% 2.88/1.33  % (4118964)Instruction limit reached! 
% 2.88/1.33  % (4118964)------------------------------
% 2.88/1.33  % (4118964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.33  % (4118964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.33  % (4118964)CaDiCaL version: 2.1.3
% 2.88/1.33  % (4118964)Termination reason: Instruction limit
% 2.88/1.33  % (4118964)Termination phase: Property scanning
% 2.88/1.33  % (4118964)Time elapsed: 0.073 s
% 2.88/1.33  % (4118964)Peak memory usage: 94 MB
% 2.88/1.33  % (4118964)Instructions burned: 129 (million)
% 2.88/1.33  % (4118963)Instruction limit reached! 
% 2.88/1.33  % (4118963)------------------------------
% 2.88/1.33  % (4118963)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.33  % (4118963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.33  % (4118963)CaDiCaL version: 2.1.3
% 2.88/1.33  % (4118963)Termination reason: Instruction limit
% 2.88/1.33  % (4118963)Termination phase: Preprocessing 3
% 2.88/1.33  % (4118963)Time elapsed: 0.081 s
% 2.88/1.33  % (4118963)Peak memory usage: 95 MB
% 2.88/1.33  % (4118963)Instructions burned: 140 (million)
% 2.88/1.33  % (4118972)lrs+10_1_sil=8000:sp=occurrence:random_seed=1088605506:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 2.88/1.33  % (4118973)lrs+10_1_sil=32000:urr=on:br=off:random_seed=952352147:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.88/1.33  % (4118972)Also succeeded, but the first one will report.
% 2.88/1.33  % (4118973)Refutation not found, incomplete strategy
% 2.88/1.33  % (4118973)------------------------------
% 2.88/1.33  % (4118973)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.88/1.33  % (4118973)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.88/1.33  % (4118973)CaDiCaL version: 2.1.3
% 2.88/1.33  % (4118973)Termination reason: Refutation not found, incomplete strategy
% 2.88/1.33  % (4118973)Time elapsed: 0.042 s
% 2.88/1.33  % (4118973)Peak memory usage: 95 MB
% 2.88/1.33  % (4118973)Instructions burned: 82 (million)
% 2.88/1.33  % (4118961)------------------------------
% 2.88/1.33  % (4118961)------------------------------
% 2.88/1.33  % (4118962)Refutation found. Thanks to Tanya!
% 2.88/1.33  % SZS status Theorem for theBenchmark
% 2.88/1.33  % SZS output start Proof for theBenchmark
% See solution above
% 4.08/1.53  % (4118962)------------------------------
% 4.08/1.53  % (4118962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.08/1.53  % (4118962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.08/1.53  % (4118962)CaDiCaL version: 2.1.3
% 4.08/1.53  % (4118962)Termination reason: Refutation
% 4.08/1.53  % (4118962)Time elapsed: 0.035 s
% 4.08/1.53  % (4118962)Peak memory usage: 95 MB
% 4.08/1.53  % (4118962)Instructions burned: 59 (million)
% 4.08/1.53  % (4118962)------------------------------
% 4.08/1.53  % (4118962)------------------------------
% 4.08/1.53  % (4118953)Success in time 0.648 s
% 4.08/1.53  % Vampire exiting
%------------------------------------------------------------------------------