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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GEO080-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n008.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 09:51:28 AM UTC 2026

% Result   : Unsatisfiable 2.44s 1.19s
% Output   : Refutation 2.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    6 (   3 unt;   0 def)
%            Number of atoms       :    9 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    5 (   2   ~;   3   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    2 (   2 usr;   1 con; 0-2 aty)
%            Number of variables   :    6 (   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [X0,X1] :
      ( incident_c(ax0_sk1(X0,X1),X0)
      | part_of(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_2) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( ~ incident_c(ax0_sk1(X0,X1),X1)
      | part_of(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn_3) ).

fof(f66,negated_conjecture,
    ~ part_of(sk14,sk14),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_reflexivity) ).

fof(f71,plain,
    ! [X0] :
      ( part_of(X0,X0)
      | part_of(X0,X0) ),
    inference(resolution,[],[f3,f2]) ).

fof(f72,plain,
    ! [X0] : part_of(X0,X0),
    inference(duplicate_literal_removal,[],[f71]) ).

fof(f73,plain,
    $false,
    inference(resolution,[],[f72,f66]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GEO080-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38  % Computer : n008.cluster.edu
% 0.12/0.38  % Model    : x86_64 x86_64
% 0.12/0.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38  % Memory   : 8046.5625MB
% 0.12/0.38  % OS       : Linux 6.8.0-71-generic
% 0.12/0.38  % CPULimit : 300
% 0.12/0.38  % WCLimit  : 300
% 0.12/0.38  % DateTime : Sun Sep 27 06:53:40 UTC 2026
% 0.12/0.38  % CPUTime  : 
% 0.12/0.39  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42  Running first-order theorem proving
% 0.12/0.42  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
% 2.44/1.19  % (879334)Input is clausal, will run a generic CNF schedule.
% 2.44/1.19  % (879344)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=250540736:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.44/1.19  % (879344)First to succeed.
% 2.44/1.19  % (879344)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-879334"
% 2.44/1.19  % (879340)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3411091075:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.44/1.19  % (879341)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=238365027:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.44/1.19  % (879345)dis-21_1_sil=8000:lcm=predicate:random_seed=1819500616:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 2.44/1.19  % (879342)lrs+10_1_sil=8000:sp=occurrence:random_seed=3047390446:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.44/1.19  % (879343)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2144449913:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.44/1.19  % (879339)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=2324995236:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.44/1.19  % (879342)Refutation not found, incomplete strategy
% 2.44/1.19  % (879342)------------------------------
% 2.44/1.19  % (879342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.19  % (879343)Refutation not found, incomplete strategy
% 2.44/1.19  % (879343)------------------------------
% 2.44/1.19  % (879343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.19  % (879342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.19  % (879342)CaDiCaL version: 2.1.3
% 2.44/1.19  % (879343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.19  % (879342)Termination reason: Refutation not found, incomplete strategy
% 2.44/1.19  % (879342)Time elapsed: 0.001 s
% 2.44/1.19  % (879342)Peak memory usage: 86 MB
% 2.44/1.19  % (879343)CaDiCaL version: 2.1.3
% 2.44/1.19  % (879343)Termination reason: Refutation not found, incomplete strategy
% 2.44/1.19  % (879343)Time elapsed: 0.001 s
% 2.44/1.19  % (879343)Peak memory usage: 86 MB
% 2.44/1.19  % (879345)Instruction limit reached! 
% 2.44/1.19  % (879345)------------------------------
% 2.44/1.19  % (879345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.19  % (879345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.19  % (879345)CaDiCaL version: 2.1.3
% 2.44/1.19  % (879345)Termination reason: Instruction limit
% 2.44/1.19  % (879345)Termination phase: Saturation
% 2.44/1.19  % (879345)Time elapsed: 0.063 s
% 2.44/1.19  % (879345)Peak memory usage: 88 MB
% 2.44/1.19  % (879345)Instructions burned: 118 (million)
% 2.44/1.19  % (879344)Refutation found. Thanks to Tanya!
% 2.44/1.19  % SZS status Unsatisfiable for theBenchmark
% 2.44/1.19  % SZS output start Proof for theBenchmark
% See solution above
% 2.44/1.19  % (879344)------------------------------
% 2.44/1.19  % (879344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.44/1.19  % (879344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.44/1.19  % (879344)CaDiCaL version: 2.1.3
% 2.44/1.19  % (879344)Termination reason: Refutation
% 2.44/1.19  % (879344)Time elapsed: 0.001 s
% 2.44/1.19  % (879344)Peak memory usage: 88 MB
% 2.44/1.19  % (879344)Instructions burned: 1 (million)
% 2.44/1.19  % (879344)------------------------------
% 2.44/1.19  % (879344)------------------------------
% 2.44/1.19  % (879334)Success in time 0.281 s
% 2.44/1.19  % Vampire exiting
%------------------------------------------------------------------------------