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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : LAT280-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n006.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 11:46:30 AM UTC 2026

% Result   : Unsatisfiable 0.28s 1.60s
% Output   : Refutation 0.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :    7 (   6 unt;   0 def)
%            Number of atoms       :    8 (   1 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :    3 (   2   ~;   1   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-3 aty)
%            Number of variables   :    2 (   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ~ c_Relation_Otrans(v_r,t_a),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(X1,tc_Product__Type_Ounit))
      | c_Relation_Otrans(c_Tarski_Opotype_Oorder(X0,X1,tc_Product__Type_Ounit),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_OPartialOrder__iff_2) ).

fof(f3,axiom,
    c_in(v_cl,c_Tarski_OPartialOrder,tc_Tarski_Opotype_Opotype__ext__type(t_a,tc_Product__Type_Ounit)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Ocl_A_58_APartialOrder_0) ).

fof(f4,axiom,
    v_r = c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Tarski_Or_A_61_61_Aorder_Acl_0) ).

fof(f5,plain,
    c_Relation_Otrans(c_Tarski_Opotype_Oorder(v_cl,t_a,tc_Product__Type_Ounit),t_a),
    inference(resolution,[],[f2,f3]) ).

fof(f6,plain,
    c_Relation_Otrans(v_r,t_a),
    inference(forward_demodulation,[],[f5,f4]) ).

fof(f7,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f6,f1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04  % Problem  : LAT280-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.08  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.20/0.44  % Computer : n006.cluster.edu
% 0.20/0.44  % Model    : x86_64 x86_64
% 0.20/0.44  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.44  % Memory   : 8046.5625MB
% 0.20/0.44  % OS       : Linux 6.8.0-71-generic
% 0.20/0.45  % CPULimit : 300
% 0.20/0.45  % WCLimit  : 300
% 0.20/0.45  % DateTime : Sun Sep 27 14:09:41 UTC 2026
% 0.20/0.45  % CPUTime  : 
% 0.20/0.45  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.51  Running first-order theorem proving
% 0.24/0.51  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
% 0.28/1.60  % (3010654)Input is clausal, will run a generic CNF schedule.
% 0.28/1.60  % (3010663)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2869525664:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.28/1.60  % (3010663)Refutation not found, incomplete strategy
% 0.28/1.60  % (3010663)------------------------------
% 0.28/1.60  % (3010663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.60  % (3010663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.60  % (3010663)CaDiCaL version: 2.1.3
% 0.28/1.60  % (3010663)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.60  % (3010663)Time elapsed: 0.0000 s
% 0.28/1.60  % (3010663)Peak memory usage: 87 MB
% 0.28/1.60  % (3010659)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=2101415965:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.28/1.60  % (3010664)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1199204775:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.28/1.60  % (3010660)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2090089386:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.28/1.60  % (3010665)dis-21_1_sil=8000:lcm=predicate:random_seed=3125797348: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)
% 0.28/1.60  % (3010662)lrs+10_1_sil=8000:sp=occurrence:random_seed=2884739780:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.28/1.60  % (3010661)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=792777325:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.28/1.60  % (3010665)Refutation not found, incomplete strategy
% 0.28/1.60  % (3010665)------------------------------
% 0.28/1.60  % (3010665)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.60  % (3010665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.60  % (3010665)CaDiCaL version: 2.1.3
% 0.28/1.60  % (3010665)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.60  % (3010665)Time elapsed: 0.001 s
% 0.28/1.60  % (3010665)Peak memory usage: 87 MB
% 0.28/1.60  % (3010662)First to succeed.
% 0.28/1.60  % (3010664)Also succeeded, but the first one will report.
% 0.28/1.60  % (3010662)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3010654"
% 0.28/1.60  % (3010663)------------------------------
% 0.28/1.60  % (3010663)------------------------------
% 0.28/1.60  % (3010673)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2253258667:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.28/1.60  % (3010673)Refutation not found, incomplete strategy
% 0.28/1.60  % (3010673)------------------------------
% 0.28/1.60  % (3010673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.60  % (3010673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.60  % (3010673)CaDiCaL version: 2.1.3
% 0.28/1.60  % (3010673)Termination reason: Refutation not found, incomplete strategy
% 0.28/1.60  % (3010673)Time elapsed: 0.001 s
% 0.28/1.60  % (3010673)Peak memory usage: 87 MB
% 0.28/1.60  % (3010665)------------------------------
% 0.28/1.60  % (3010665)------------------------------
% 0.28/1.60  % (3010662)Refutation found. Thanks to Tanya!
% 0.28/1.60  % SZS status Unsatisfiable for theBenchmark
% 0.28/1.60  % SZS output start Proof for theBenchmark
% See solution above
% 0.28/1.60  % (3010662)------------------------------
% 0.28/1.60  % (3010662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/1.60  % (3010662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/1.60  % (3010662)CaDiCaL version: 2.1.3
% 0.28/1.60  % (3010662)Termination reason: Refutation
% 0.28/1.60  % (3010662)Time elapsed: 0.001 s
% 0.28/1.60  % (3010662)Peak memory usage: 88 MB
% 0.28/1.60  % (3010662)------------------------------
% 0.28/1.60  % (3010662)------------------------------
% 0.28/1.60  % (3010654)Success in time 0.435 s
% 0.28/1.60  % Vampire exiting
%------------------------------------------------------------------------------