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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : CSR079+2 : 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 : n019.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 09:42:42 AM UTC 2026

% Result   : Theorem 4.86s 1.96s
% Output   : Refutation 4.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   56 (  43 unt;   0 def)
%            Number of atoms       :   86 (  26 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   62 (  32   ~;  23   |;   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    :   15 (  15 usr;  15 con; 0-0 aty)
%            Number of variables   :   29 (  29   !;   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(f26088,axiom,
    s__subclass(s__Reptile,s__Animal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',kb_SUMO_9340) ).

fof(f37983,axiom,
    s__instance(s__Organism5_1,s__Lizard5_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_2) ).

fof(f38004,axiom,
    s__Class5_1 = s__Class5_2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_23) ).

fof(f38005,axiom,
    s__Class5_2 = s__Class5_3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_24) ).

fof(f38006,axiom,
    s__Class5_3 = s__Class5_4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_25) ).

fof(f38007,axiom,
    s__Class5_4 = s__Class5_5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_26) ).

fof(f38008,axiom,
    s__Class5_5 = s__Class5_6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_27) ).

fof(f38009,axiom,
    s__Class5_6 = s__Class5_7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_28) ).

fof(f38010,axiom,
    s__Class5_7 = s__Class5_8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_29) ).

fof(f38011,axiom,
    s__Class5_8 = s__Class5_9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_30) ).

fof(f38012,axiom,
    s__Class5_9 = s__Class5_10,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_31) ).

fof(f38013,axiom,
    s__subclass(s__Lizard5_1,s__Class5_1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_32) ).

fof(f38014,axiom,
    s__subclass(s__Class5_10,s__Reptile),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',local_33) ).

fof(f38015,conjecture,
    s__instance(s__Organism5_1,s__Animal),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_from_SUMO_MILO) ).

fof(f38016,negated_conjecture,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(negated_conjecture,[status(cth)],[f38015]) ).

fof(f38017,plain,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(flattening,[],[f38016]) ).

fof(f38021,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(f38022,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,[],[f38021]) ).

fof(f38023,plain,
    ! [X0,X1] :
      ( ( s__instance(X0,s__SetOrClass)
        & s__instance(X1,s__SetOrClass) )
      | ~ s__subclass(X0,X1) ),
    inference(ennf_transformation,[],[f26]) ).

fof(f38065,plain,
    ~ s__instance(s__Organism5_1,s__Animal),
    inference(cnf_transformation,[],[f38017]) ).

fof(f38076,plain,
    s__instance(s__Organism5_1,s__Lizard5_1),
    inference(cnf_transformation,[],[f37983]) ).

fof(f38122,plain,
    s__subclass(s__Lizard5_1,s__Class5_1),
    inference(cnf_transformation,[],[f38013]) ).

fof(f38126,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,[],[f38022]) ).

fof(f38127,plain,
    ! [X0,X1] :
      ( s__instance(X1,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f38023]) ).

fof(f38128,plain,
    ! [X0,X1] :
      ( s__instance(X0,s__SetOrClass)
      | ~ s__subclass(X0,X1) ),
    inference(cnf_transformation,[],[f38023]) ).

fof(f38129,plain,
    s__Class5_1 = s__Class5_2,
    inference(cnf_transformation,[],[f38004]) ).

fof(f38145,plain,
    s__Class5_2 = s__Class5_3,
    inference(cnf_transformation,[],[f38005]) ).

fof(f38150,plain,
    s__Class5_3 = s__Class5_4,
    inference(cnf_transformation,[],[f38006]) ).

fof(f38153,plain,
    s__Class5_4 = s__Class5_5,
    inference(cnf_transformation,[],[f38007]) ).

fof(f38156,plain,
    s__Class5_5 = s__Class5_6,
    inference(cnf_transformation,[],[f38008]) ).

fof(f38159,plain,
    s__Class5_6 = s__Class5_7,
    inference(cnf_transformation,[],[f38009]) ).

fof(f38162,plain,
    s__Class5_7 = s__Class5_8,
    inference(cnf_transformation,[],[f38010]) ).

fof(f38165,plain,
    s__Class5_8 = s__Class5_9,
    inference(cnf_transformation,[],[f38011]) ).

fof(f38168,plain,
    s__Class5_9 = s__Class5_10,
    inference(cnf_transformation,[],[f38012]) ).

fof(f38171,plain,
    s__subclass(s__Class5_10,s__Reptile),
    inference(cnf_transformation,[],[f38014]) ).

fof(f38179,plain,
    s__subclass(s__Reptile,s__Animal),
    inference(cnf_transformation,[],[f26088]) ).

fof(f38291,plain,
    s__Class5_8 = s__Class5_10,
    inference(definition_unfolding,[],[f38165,f38168]) ).

fof(f38292,plain,
    s__Class5_7 = s__Class5_10,
    inference(definition_unfolding,[],[f38162,f38291]) ).

fof(f38293,plain,
    s__Class5_6 = s__Class5_10,
    inference(definition_unfolding,[],[f38159,f38292]) ).

fof(f38294,plain,
    s__Class5_5 = s__Class5_10,
    inference(definition_unfolding,[],[f38156,f38293]) ).

fof(f38295,plain,
    s__Class5_4 = s__Class5_10,
    inference(definition_unfolding,[],[f38153,f38294]) ).

fof(f38296,plain,
    s__Class5_3 = s__Class5_10,
    inference(definition_unfolding,[],[f38150,f38295]) ).

fof(f38297,plain,
    s__Class5_2 = s__Class5_10,
    inference(definition_unfolding,[],[f38145,f38296]) ).

fof(f38298,plain,
    s__Class5_1 = s__Class5_10,
    inference(definition_unfolding,[],[f38129,f38297]) ).

fof(f38299,plain,
    s__subclass(s__Lizard5_1,s__Class5_10),
    inference(definition_unfolding,[],[f38122,f38298]) ).

fof(f38336,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,[],[f38126,f38127]) ).

fof(f38337,plain,
    ! [X2,X0,X1] :
      ( s__instance(X2,X1)
      | ~ s__subclass(X0,X1)
      | ~ s__instance(X2,X0) ),
    inference(forward_subsumption_resolution,[],[f38336,f38128]) ).

fof(f38338,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Animal)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f38337,f38065]) ).

fof(f38345,plain,
    ~ s__instance(s__Organism5_1,s__Reptile),
    inference(resolution,[],[f38338,f38179]) ).

fof(f38519,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Reptile)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f38345,f38337]) ).

fof(f38543,plain,
    ~ s__instance(s__Organism5_1,s__Class5_10),
    inference(resolution,[],[f38519,f38171]) ).

fof(f38544,plain,
    ! [X0] :
      ( ~ s__subclass(X0,s__Class5_10)
      | ~ s__instance(s__Organism5_1,X0) ),
    inference(resolution,[],[f38543,f38337]) ).

fof(f38552,plain,
    ~ s__instance(s__Organism5_1,s__Lizard5_1),
    inference(resolution,[],[f38544,f38299]) ).

fof(f38553,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f38552,f38076]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR079+2 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n019.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 22:28:48 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  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
% 4.86/1.96  % (351071)Detected formulas, will run a generic FOF schedule.
% 4.86/1.96  % (351077)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=3395999940:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2993 on theBenchmark for (2993ds/134677Mi)
% 4.86/1.96  % (351076)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=2546998153:i=141193_2993 on theBenchmark for (2993ds/141193Mi)
% 4.86/1.96  % (351078)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=2494217361:i=141695:sd=1:nm=32:gsp=on:ss=included_2993 on theBenchmark for (2993ds/141695Mi)
% 4.86/1.96  % (351079)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4185839406:i=109:sd=1:ins=1:gsp=on:ss=axioms_2993 on theBenchmark for (2993ds/109Mi)
% 4.86/1.96  % (351081)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3810239113:s2a=on:i=139:gtg=position_2993 on theBenchmark for (2993ds/139Mi)
% 4.86/1.96  % (351082)dis-21_1_sil=8000:lcm=predicate:random_seed=2550583178: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)
% 4.86/1.96  % (351080)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3092665967:i=119:av=off:ss=axioms_2993 on theBenchmark for (2993ds/119Mi)
% 4.86/1.96  % (351079)Refutation not found, incomplete strategy
% 4.86/1.96  % (351079)------------------------------
% 4.86/1.96  % (351079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.96  % (351079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.96  % (351079)CaDiCaL version: 2.1.3
% 4.86/1.96  % (351079)Termination reason: Refutation not found, incomplete strategy
% 4.86/1.96  % (351079)Time elapsed: 0.059 s
% 4.86/1.96  % (351079)Peak memory usage: 108 MB
% 4.86/1.96  % (351079)Instructions burned: 97 (million)
% 4.86/1.96  % (351081)Instruction limit reached! 
% 4.86/1.96  % (351081)------------------------------
% 4.86/1.96  % (351081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.96  % (351081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.96  % (351081)CaDiCaL version: 2.1.3
% 4.86/1.96  % (351081)Termination reason: Instruction limit
% 4.86/1.96  % (351081)Termination phase: Property scanning
% 4.86/1.96  % (351081)Time elapsed: 0.061 s
% 4.86/1.96  % (351081)Peak memory usage: 104 MB
% 4.86/1.96  % (351081)Instructions burned: 140 (million)
% 4.86/1.96  % (351080)First to succeed.
% 4.86/1.96  % (351080)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-351071"
% 4.86/1.96  % (351082)Instruction limit reached! 
% 4.86/1.96  % (351082)------------------------------
% 4.86/1.96  % (351082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.96  % (351082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.96  % (351082)CaDiCaL version: 2.1.3
% 4.86/1.96  % (351082)Termination reason: Instruction limit
% 4.86/1.96  % (351082)Termination phase: Preprocessing 1
% 4.86/1.96  % (351082)Time elapsed: 0.079 s
% 4.86/1.96  % (351082)Peak memory usage: 105 MB
% 4.86/1.96  % (351082)Instructions burned: 129 (million)
% 4.86/1.96  % (351090)lrs+10_1_sil=8000:sp=occurrence:random_seed=4251809653:i=285:sd=3:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/285Mi)
% 4.86/1.96  % (351091)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1879494721:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2990 on theBenchmark for (2990ds/157Mi)
% 4.86/1.96  % (351090)Refutation not found, incomplete strategy
% 4.86/1.96  % (351090)------------------------------
% 4.86/1.96  % (351090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.96  % (351090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.96  % (351090)CaDiCaL version: 2.1.3
% 4.86/1.96  % (351090)Termination reason: Refutation not found, incomplete strategy
% 4.86/1.96  % (351090)Time elapsed: 0.067 s
% 4.86/1.96  % (351090)Peak memory usage: 109 MB
% 4.86/1.96  % (351090)Instructions burned: 99 (million)
% 4.86/1.96  % (351079)------------------------------
% 4.86/1.96  % (351079)------------------------------
% 4.86/1.96  % (351091)Instruction limit reached! 
% 4.86/1.96  % (351091)------------------------------
% 4.86/1.96  % (351091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.96  % (351091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.96  % (351091)CaDiCaL version: 2.1.3
% 4.86/1.96  % (351091)Termination reason: Instruction limit
% 4.86/1.96  % (351091)Termination phase: SInE selection
% 4.86/1.96  % (351091)Time elapsed: 0.073 s
% 4.86/1.96  % (351091)Peak memory usage: 104 MB
% 4.86/1.96  % (351091)Instructions burned: 158 (million)
% 4.86/1.96  % (351080)Refutation found. Thanks to Tanya!
% 4.86/1.96  % SZS status Theorem for theBenchmark
% 4.86/1.96  % SZS output start Proof for theBenchmark
% See solution above
% 4.86/1.96  % (351080)------------------------------
% 4.86/1.96  % (351080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.86/1.96  % (351080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.86/1.96  % (351080)CaDiCaL version: 2.1.3
% 4.86/1.96  % (351080)Termination reason: Refutation
% 4.86/1.96  % (351080)Time elapsed: 0.071 s
% 4.86/1.96  % (351080)Peak memory usage: 109 MB
% 4.86/1.96  % (351080)Instructions burned: 114 (million)
% 4.86/1.96  % (351080)------------------------------
% 4.86/1.96  % (351080)------------------------------
% 4.86/1.96  % (351071)Success in time 1.188 s
% 4.86/1.96  % Vampire exiting
%------------------------------------------------------------------------------