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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWB015+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n026.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 01:00:05 PM UTC 2026

% Result   : Theorem 2.50s 1.35s
% Output   : Refutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    2
% Syntax   : Number of formulae    :    9 (   6 unt;   0 def)
%            Number of atoms       :   14 (   4 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   11 (   6   ~;   3   |;   1   &)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    1 (   1 usr;   1 con; 0-0 aty)
%            Number of variables   :    7 (   7   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
    <=> X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).

fof(f2,conjecture,
    iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_015_Reflective_Tautologies_I) ).

fof(f3,negated_conjecture,
    ~ iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs),
    inference(negated_conjecture,[status(cth)],[f2]) ).

fof(f4,plain,
    ~ iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ! [X0,X1] :
      ( ( iext(uri_owl_sameAs,X0,X1)
        | X0 != X1 )
      & ( X0 = X1
        | ~ iext(uri_owl_sameAs,X0,X1) ) ),
    inference(nnf_transformation,[],[f1]) ).

fof(f7,plain,
    ! [X0,X1] :
      ( iext(uri_owl_sameAs,X0,X1)
      | X0 != X1 ),
    inference(cnf_transformation,[],[f5]) ).

fof(f8,plain,
    ~ iext(uri_owl_sameAs,uri_owl_sameAs,uri_owl_sameAs),
    inference(cnf_transformation,[],[f4]) ).

fof(f9,plain,
    ! [X1] : iext(uri_owl_sameAs,X1,X1),
    inference(equality_resolution,[],[f7]) ).

fof(f14,plain,
    $false,
    inference(resolution,[],[f9,f8]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWB015+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41  % Computer : n026.cluster.edu
% 0.12/0.41  % Model    : x86_64 x86_64
% 0.12/0.41  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.41  % Memory   : 8046.5625MB
% 0.12/0.41  % OS       : Linux 6.8.0-71-generic
% 0.12/0.41  % CPULimit : 300
% 0.12/0.41  % WCLimit  : 300
% 0.12/0.41  % DateTime : Mon Sep 28 07:02:42 UTC 2026
% 0.12/0.41  % CPUTime  : 
% 0.12/0.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.44  Running first-order theorem proving
% 0.12/0.44  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
% 2.50/1.35  % (3663045)Detected formulas, will run a generic FOF schedule.
% 2.50/1.35  % (3663056)dis-21_1_sil=8000:lcm=predicate:random_seed=1147810180:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.50/1.35  % (3663056)First to succeed.
% 2.50/1.35  % (3663056)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3663045"
% 2.50/1.35  % (3663052)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=3293157559:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.50/1.35  % (3663050)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=1748027459:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.50/1.35  % (3663053)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1302148580:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.50/1.35  % (3663051)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=1393276802:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.50/1.35  % (3663053)Refutation not found, incomplete strategy
% 2.50/1.35  % (3663053)------------------------------
% 2.50/1.35  % (3663053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.35  % (3663053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.35  % (3663053)CaDiCaL version: 2.1.3
% 2.50/1.35  % (3663053)Termination reason: Refutation not found, incomplete strategy
% 2.50/1.35  % (3663053)Time elapsed: 0.001 s
% 2.50/1.35  % (3663053)Peak memory usage: 86 MB
% 2.50/1.35  % (3663054)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=20693555:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.50/1.35  % (3663055)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3979604365:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.50/1.35  % (3663054)Refutation not found, incomplete strategy
% 2.50/1.35  % (3663054)------------------------------
% 2.50/1.35  % (3663054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.35  % (3663054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.35  % (3663054)CaDiCaL version: 2.1.3
% 2.50/1.35  % (3663054)Termination reason: Refutation not found, incomplete strategy
% 2.50/1.35  % (3663054)Time elapsed: 0.001 s
% 2.50/1.35  % (3663054)Peak memory usage: 86 MB
% 2.50/1.35  % (3663055)Also succeeded, but the first one will report.
% 2.50/1.35  % (3663056)Refutation found. Thanks to Tanya!
% 2.50/1.35  % SZS status Theorem for theBenchmark
% 2.50/1.35  % SZS output start Proof for theBenchmark
% See solution above
% 2.50/1.35  % (3663056)------------------------------
% 2.50/1.35  % (3663056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.50/1.35  % (3663056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.50/1.35  % (3663056)CaDiCaL version: 2.1.3
% 2.50/1.35  % (3663056)Termination reason: Refutation
% 2.50/1.35  % (3663056)Time elapsed: 0.001 s
% 2.50/1.35  % (3663056)Peak memory usage: 88 MB
% 2.50/1.35  % (3663056)------------------------------
% 2.50/1.35  % (3663056)------------------------------
% 2.50/1.35  % (3663045)Success in time 0.266 s
% 2.50/1.35  % Vampire exiting
%------------------------------------------------------------------------------