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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR118+2 : 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 : n003.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 09:43:44 AM UTC 2026

% Result   : Theorem 4.63s 1.99s
% Output   : Refutation 4.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   49 (   0 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   54 (  26   ~;  21   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   4 con; 0-0 aty)
%            Number of variables   :   27 (  27   !;   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(f32702,axiom,
    s__subclass(s__Human,s__Mammal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_15954) ).

fof(f37982,axiom,
    s__instance(s__AbrahamLincoln,s__Human),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abe_human) ).

fof(f37983,conjecture,
    s__instance(s__AbrahamLincoln,s__Mammal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',abe_mammal) ).

fof(f37984,negated_conjecture,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(negated_conjecture,[status(cth)],[f37983]) ).

fof(f37985,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(flattening,[],[f37984]) ).

fof(f37989,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(f37990,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,[],[f37989]) ).

fof(f37991,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f37993,plain,
    ~ s__instance(s__AbrahamLincoln,s__Mammal),
    inference(cnf_transformation,[],[f37985]) ).

fof(f37995,plain,
    s__subclass(s__Human,s__Mammal),
    inference(cnf_transformation,[],[f32702]) ).

fof(f38009,plain,
    s__instance(s__AbrahamLincoln,s__Human),
    inference(cnf_transformation,[],[f37982]) ).

fof(f38123,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,[],[f37990]) ).

fof(f38124,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f37991]) ).

fof(f38125,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f37991]) ).

fof(f38126,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,[],[f38123,f38124]) ).

fof(f38127,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f38126,f38125]) ).

fof(f38128,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Mammal)
      | ~ s__instance(s__AbrahamLincoln,X0) ),
    inference(resolution,[],[f38127,f37993]) ).

fof(f38133,plain,
    ~ s__instance(s__AbrahamLincoln,s__Human),
    inference(resolution,[],[f38128,f37995]) ).

fof(f38136,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f38133,f38009]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR118+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.17  % Computer : n003.cluster.edu
% 0.07/0.17  % Model    : x86_64 x86_64
% 0.07/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17  % Memory   : 8046.5625MB
% 0.07/0.17  % OS       : Linux 6.8.0-71-generic
% 0.07/0.17  % CPULimit : 300
% 0.07/0.17  % WCLimit  : 300
% 0.07/0.17  % DateTime : Mon Sep 28 23:35:13 UTC 2026
% 0.07/0.17  % CPUTime  : 
% 0.07/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21  Running first-order theorem proving
% 0.07/0.21  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
% 4.63/1.99  % (2129035)Detected formulas, will run a generic FOF schedule.
% 4.63/1.99  % (2129046)dis-21_1_sil=8000:lcm=predicate:random_seed=4027051474:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2993 on theBenchmark for (2993ds/129Mi)
% 4.63/1.99  % (2129040)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=2550150430:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 4.63/1.99  % (2129044)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3952691247:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 4.63/1.99  % (2129043)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1190452027:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 4.63/1.99  % (2129041)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=1768784415:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 4.63/1.99  % (2129042)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=1340876318:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 4.63/1.99  % (2129046)Instruction limit reached! 
% 4.63/1.99  % (2129046)------------------------------
% 4.63/1.99  % (2129046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.99  % (2129046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.99  % (2129046)CaDiCaL version: 2.1.3
% 4.63/1.99  % (2129046)Termination reason: Instruction limit
% 4.63/1.99  % (2129046)Termination phase: Unused predicate definition removal
% 4.63/1.99  % (2129046)Time elapsed: 0.048 s
% 4.63/1.99  % (2129046)Peak memory usage: 106 MB
% 4.63/1.99  % (2129046)Instructions burned: 130 (million)
% 4.63/1.99  % (2129045)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1072740236:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 4.63/1.99  % (2129043)Refutation not found, incomplete strategy
% 4.63/1.99  % (2129043)------------------------------
% 4.63/1.99  % (2129043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.99  % (2129043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.99  % (2129043)CaDiCaL version: 2.1.3
% 4.63/1.99  % (2129043)Termination reason: Refutation not found, incomplete strategy
% 4.63/1.99  % (2129043)Time elapsed: 0.060 s
% 4.63/1.99  % (2129043)Peak memory usage: 108 MB
% 4.63/1.99  % (2129043)Instructions burned: 97 (million)
% 4.63/1.99  % (2129044)First to succeed.
% 4.63/1.99  % (2129044)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2129035"
% 4.63/1.99  % (2129045)Instruction limit reached! 
% 4.63/1.99  % (2129045)------------------------------
% 4.63/1.99  % (2129045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.99  % (2129045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.99  % (2129045)CaDiCaL version: 2.1.3
% 4.63/1.99  % (2129045)Termination reason: Instruction limit
% 4.63/1.99  % (2129045)Termination phase: Property scanning
% 4.63/1.99  % (2129045)Time elapsed: 0.062 s
% 4.63/1.99  % (2129045)Peak memory usage: 104 MB
% 4.63/1.99  % (2129045)Instructions burned: 140 (million)
% 4.63/1.99  % (2129053)lrs+10_1_sil=8000:sp=occurrence:random_seed=3921918699:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 4.63/1.99  % (2129053)Also succeeded, but the first one will report.
% 4.63/1.99  % (2129055)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1995787558:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 4.63/1.99  % (2129055)Instruction limit reached! 
% 4.63/1.99  % (2129055)------------------------------
% 4.63/1.99  % (2129055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.99  % (2129055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.99  % (2129055)CaDiCaL version: 2.1.3
% 4.63/1.99  % (2129055)Termination reason: Instruction limit
% 4.63/1.99  % (2129055)Termination phase: SInE selection
% 4.63/1.99  % (2129055)Time elapsed: 0.070 s
% 4.63/1.99  % (2129055)Peak memory usage: 105 MB
% 4.63/1.99  % (2129055)Instructions burned: 157 (million)
% 4.63/1.99  % (2129043)------------------------------
% 4.63/1.99  % (2129043)------------------------------
% 4.63/1.99  % (2129044)Refutation found. Thanks to Tanya!
% 4.63/1.99  % SZS status Theorem for theBenchmark
% 4.63/1.99  % SZS output start Proof for theBenchmark
% See solution above
% 4.63/1.99  % (2129044)------------------------------
% 4.63/1.99  % (2129044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.63/1.99  % (2129044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.63/1.99  % (2129044)CaDiCaL version: 2.1.3
% 4.63/1.99  % (2129044)Termination reason: Refutation
% 4.63/1.99  % (2129044)Time elapsed: 0.064 s
% 4.63/1.99  % (2129044)Peak memory usage: 108 MB
% 4.63/1.99  % (2129044)Instructions burned: 101 (million)
% 4.63/1.99  % (2129044)------------------------------
% 4.63/1.99  % (2129044)------------------------------
% 4.63/1.99  % (2129035)Success in time 1.145 s
% 4.63/2.00  % Vampire exiting
%------------------------------------------------------------------------------