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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR079+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 09:42:43 AM UTC 2026

% Result   : Theorem 1.54s 1.57s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   64 (  49 unt;   0 def)
%            Number of atoms       :   96 (  26 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   70 (  38   ~;  25   |;   4   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;  17 con; 0-0 aty)
%            Number of variables   :   31 (  31   !;   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(f7117,axiom,
    s__subclass(s__Vertebrate,s__Animal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_7191) ).

fof(f7146,axiom,
    s__subclass(s__ColdBloodedVertebrate,s__Vertebrate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_7220) ).

fof(f7220,axiom,
    s__subclass(s__Reptile,s__ColdBloodedVertebrate),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',kb_SUMO_7294) ).

fof(f16750,axiom,
    s__instance(s__Organism5_1,s__Lizard5_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_2) ).

fof(f16771,axiom,
    s__Class5_1 = s__Class5_2,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_23) ).

fof(f16772,axiom,
    s__Class5_2 = s__Class5_3,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_24) ).

fof(f16773,axiom,
    s__Class5_3 = s__Class5_4,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_25) ).

fof(f16774,axiom,
    s__Class5_4 = s__Class5_5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_26) ).

fof(f16775,axiom,
    s__Class5_5 = s__Class5_6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_27) ).

fof(f16776,axiom,
    s__Class5_6 = s__Class5_7,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_28) ).

fof(f16777,axiom,
    s__Class5_7 = s__Class5_8,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_29) ).

fof(f16778,axiom,
    s__Class5_8 = s__Class5_9,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_30) ).

fof(f16779,axiom,
    s__Class5_9 = s__Class5_10,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_31) ).

fof(f16780,axiom,
    s__subclass(s__Lizard5_1,s__Class5_1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_32) ).

fof(f16781,axiom,
    s__subclass(s__Class5_10,s__Reptile),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',local_33) ).

fof(f16782,conjecture,
    s__instance(s__Organism5_1,s__Animal),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f16783,negated_conjecture,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(negated_conjecture,[status(cth)],[f16782]) ).

fof(f16784,plain,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(flattening,[],[f16783]) ).

fof(f16788,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(f16789,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,[],[f16788]) ).

fof(f16790,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f16801,plain,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(cnf_transformation,[],[f16784]) ).

fof(f16803,plain,
    s__instance(s__Organism5_1,s__Lizard5_1),
    inference(cnf_transformation,[],[f16750]) ).

fof(f16806,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,[],[f16789]) ).

fof(f16807,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f16790]) ).

fof(f16808,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f16790]) ).

fof(f16810,plain,
    s__subclass(s__Lizard5_1,s__Class5_1),
    inference(cnf_transformation,[],[f16780]) ).

fof(f16813,plain,
    s__Class5_1 = s__Class5_2,
    inference(cnf_transformation,[],[f16771]) ).

fof(f16825,plain,
    s__Class5_2 = s__Class5_3,
    inference(cnf_transformation,[],[f16772]) ).

fof(f16828,plain,
    s__Class5_3 = s__Class5_4,
    inference(cnf_transformation,[],[f16773]) ).

fof(f16831,plain,
    s__Class5_4 = s__Class5_5,
    inference(cnf_transformation,[],[f16774]) ).

fof(f16834,plain,
    s__Class5_5 = s__Class5_6,
    inference(cnf_transformation,[],[f16775]) ).

fof(f16837,plain,
    s__Class5_6 = s__Class5_7,
    inference(cnf_transformation,[],[f16776]) ).

fof(f16840,plain,
    s__Class5_7 = s__Class5_8,
    inference(cnf_transformation,[],[f16777]) ).

fof(f16843,plain,
    s__Class5_8 = s__Class5_9,
    inference(cnf_transformation,[],[f16778]) ).

fof(f16846,plain,
    s__Class5_9 = s__Class5_10,
    inference(cnf_transformation,[],[f16779]) ).

fof(f16849,plain,
    s__subclass(s__Class5_10,s__Reptile),
    inference(cnf_transformation,[],[f16781]) ).

fof(f16852,plain,
    s__subclass(s__Reptile,s__ColdBloodedVertebrate),
    inference(cnf_transformation,[],[f7220]) ).

fof(f16853,plain,
    s__subclass(s__ColdBloodedVertebrate,s__Vertebrate),
    inference(cnf_transformation,[],[f7146]) ).

fof(f16854,plain,
    s__subclass(s__Vertebrate,s__Animal),
    inference(cnf_transformation,[],[f7117]) ).

fof(f16855,plain,
    s__Class5_8 = s__Class5_10,
    inference(definition_unfolding,[],[f16843,f16846]) ).

fof(f16856,plain,
    s__Class5_7 = s__Class5_10,
    inference(definition_unfolding,[],[f16840,f16855]) ).

fof(f16857,plain,
    s__Class5_6 = s__Class5_10,
    inference(definition_unfolding,[],[f16837,f16856]) ).

fof(f16858,plain,
    s__Class5_5 = s__Class5_10,
    inference(definition_unfolding,[],[f16834,f16857]) ).

fof(f16859,plain,
    s__Class5_4 = s__Class5_10,
    inference(definition_unfolding,[],[f16831,f16858]) ).

fof(f16860,plain,
    s__Class5_3 = s__Class5_10,
    inference(definition_unfolding,[],[f16828,f16859]) ).

fof(f16861,plain,
    s__Class5_2 = s__Class5_10,
    inference(definition_unfolding,[],[f16825,f16860]) ).

fof(f16862,plain,
    s__Class5_1 = s__Class5_10,
    inference(definition_unfolding,[],[f16813,f16861]) ).

fof(f16863,plain,
    s__subclass(s__Lizard5_1,s__Class5_10),
    inference(definition_unfolding,[],[f16810,f16862]) ).

fof(f16891,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,[],[f16806,f16807]) ).

fof(f16892,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f16891,f16808]) ).

fof(f16893,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Animal)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f16892,f16801]) ).

fof(f16895,plain,
    ~ s__instance(s__Organism5_1,s__Vertebrate),
    inference(resolution,[],[f16893,f16854]) ).

fof(f16898,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Vertebrate)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f16895,f16892]) ).

fof(f16900,plain,
    ~ s__instance(s__Organism5_1,s__ColdBloodedVertebrate),
    inference(resolution,[],[f16898,f16853]) ).

fof(f16913,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__ColdBloodedVertebrate)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f16900,f16892]) ).

fof(f16918,plain,
    ~ s__instance(s__Organism5_1,s__Reptile),
    inference(resolution,[],[f16913,f16852]) ).

fof(f16919,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Reptile)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f16918,f16892]) ).

fof(f16926,plain,
    ~ s__instance(s__Organism5_1,s__Class5_10),
    inference(resolution,[],[f16919,f16849]) ).

fof(f16928,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Class5_10)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f16926,f16892]) ).

fof(f16931,plain,
    ~ s__instance(s__Organism5_1,s__Lizard5_1),
    inference(resolution,[],[f16928,f16863]) ).

fof(f16932,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f16931,f16803]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR079+5 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19  % Computer : n013.cluster.edu
% 0.10/0.19  % Model    : x86_64 x86_64
% 0.10/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19  % Memory   : 8046.5625MB
% 0.10/0.19  % OS       : Linux 6.8.0-71-generic
% 0.10/0.19  % CPULimit : 300
% 0.10/0.19  % WCLimit  : 300
% 0.10/0.19  % DateTime : Mon Sep 28 22:28:22 UTC 2026
% 0.10/0.19  % CPUTime  : 
% 0.10/0.19  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23  Running first-order theorem proving
% 0.10/0.23  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
% 1.54/1.57  % (1663018)Detected formulas, will run a generic FOF schedule.
% 1.54/1.57  % (1663023)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=257263661:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 1.54/1.57  % (1663026)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=370530620:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 1.54/1.57  % (1663025)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=1013969884:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 1.54/1.57  % (1663024)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=1305833776:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 1.54/1.57  % (1663027)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2152353425:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 1.54/1.57  % (1663028)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1125692960:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 1.54/1.57  % (1663029)dis-21_1_sil=8000:lcm=predicate:random_seed=3006471937: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)
% 1.54/1.57  % (1663026)Refutation not found, incomplete strategy
% 1.54/1.57  % (1663026)------------------------------
% 1.54/1.57  % (1663026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.54/1.57  % (1663026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/1.57  % (1663026)CaDiCaL version: 2.1.3
% 1.54/1.57  % (1663026)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.57  % (1663026)Time elapsed: 0.040 s
% 1.54/1.57  % (1663026)Peak memory usage: 102 MB
% 1.54/1.57  % (1663026)Instructions burned: 59 (million)
% 1.54/1.57  % (1663027)First to succeed.
% 1.54/1.57  % (1663027)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1663018"
% 1.54/1.57  % (1663028)Instruction limit reached! 
% 1.54/1.57  % (1663028)------------------------------
% 1.54/1.57  % (1663028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.54/1.57  % (1663028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/1.57  % (1663028)CaDiCaL version: 2.1.3
% 1.54/1.57  % (1663028)Termination reason: Instruction limit
% 1.54/1.57  % (1663028)Termination phase: SInE selection
% 1.54/1.57  % (1663028)Time elapsed: 0.074 s
% 1.54/1.57  % (1663028)Peak memory usage: 99 MB
% 1.54/1.57  % (1663028)Instructions burned: 139 (million)
% 1.54/1.57  % (1663029)Instruction limit reached! 
% 1.54/1.57  % (1663029)------------------------------
% 1.54/1.57  % (1663029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.54/1.57  % (1663029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/1.57  % (1663029)CaDiCaL version: 2.1.3
% 1.54/1.57  % (1663029)Termination reason: Instruction limit
% 1.54/1.57  % (1663029)Termination phase: Saturation
% 1.54/1.57  % (1663029)Time elapsed: 0.084 s
% 1.54/1.57  % (1663029)Peak memory usage: 101 MB
% 1.54/1.57  % (1663029)Instructions burned: 132 (million)
% 1.54/1.57  % (1663037)lrs+10_1_sil=8000:sp=occurrence:random_seed=3324871056:i=285:sd=3:ss=axioms:sgt=8_2993 on theBenchmark for (2993ds/285Mi)
% 1.54/1.57  % (1663038)lrs+10_1_sil=32000:urr=on:br=off:random_seed=4149594929:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 1.54/1.57  % (1663037)Refutation not found, incomplete strategy
% 1.54/1.57  % (1663037)------------------------------
% 1.54/1.57  % (1663037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.54/1.57  % (1663037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.54/1.57  % (1663037)CaDiCaL version: 2.1.3
% 1.54/1.57  % (1663037)Termination reason: Refutation not found, incomplete strategy
% 1.54/1.57  % (1663037)Time elapsed: 0.042 s
% 1.54/1.57  % (1663037)Peak memory usage: 102 MB
% 1.54/1.57  % (1663037)Instructions burned: 50 (million)
% 1.54/1.57  % (1663026)------------------------------
% 1.54/1.57  % (1663026)------------------------------
% 1.54/1.57  % (1663027)Refutation found. Thanks to Tanya!
% 1.54/1.57  % SZS status Theorem for theBenchmark
% 1.54/1.57  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.81  % (1663027)------------------------------
% 0.20/1.81  % (1663027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.81  % (1663027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.81  % (1663027)CaDiCaL version: 2.1.3
% 0.20/1.81  % (1663027)Termination reason: Refutation
% 0.20/1.81  % (1663027)Time elapsed: 0.044 s
% 0.20/1.81  % (1663027)Peak memory usage: 103 MB
% 0.20/1.81  % (1663027)Instructions burned: 64 (million)
% 0.20/1.81  % (1663027)------------------------------
% 0.20/1.81  % (1663027)------------------------------
% 0.20/1.81  % (1663018)Success in time 0.899 s
% 0.20/1.81  % Vampire exiting
%------------------------------------------------------------------------------