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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% 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 02:17:36 PM UTC 2026

% Result   : Unsatisfiable 0.47s 0.27s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   20 (  12 unt;   0 def)
%            Number of atoms       :   32 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   25 (  13   ~;  12   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   2 con; 0-1 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X0] : p2(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_1) ).

fof(f2,negated_conjecture,
    ! [X0] : p6(X0,X0),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_2) ).

fof(f4,negated_conjecture,
    p2(f4(c7),f4(c8)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_4) ).

fof(f5,negated_conjecture,
    ~ p6(f4(c7),f3(f4(c8))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p6_5) ).

fof(f7,negated_conjecture,
    ! [X0] : p5(f3(f3(X0)),f3(f4(X0))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_7) ).

fof(f9,negated_conjecture,
    ! [X0] :
      ( ~ p6(c7,X0)
      | p6(c7,f3(X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_9) ).

fof(f10,negated_conjecture,
    ! [X0,X1] :
      ( ~ p5(X0,X1)
      | p6(f4(X0),X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p6_10) ).

fof(f11,negated_conjecture,
    ! [X0,X1] :
      ( ~ p2(X0,X1)
      | p2(f3(X0),f3(X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p2_11) ).

fof(f15,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ p5(X2,X1)
      | p5(X0,X1)
      | ~ p6(X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_15) ).

fof(f17,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ~ p5(X3,X2)
      | ~ p2(X2,X1)
      | p5(X0,X1)
      | ~ p2(X3,X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p5_17) ).

fof(f21,plain,
    p6(c7,f3(c7)),
    inference(resolution,[],[f9,f2]) ).

fof(f22,plain,
    p6(c7,f3(f3(c7))),
    inference(resolution,[],[f21,f9]) ).

fof(f28,plain,
    p2(f3(f4(c7)),f3(f4(c8))),
    inference(resolution,[],[f11,f4]) ).

fof(f60,plain,
    ! [X2,X0,X1] :
      ( ~ p2(f3(f3(X0)),X2)
      | p5(X2,X1)
      | ~ p2(f3(f4(X0)),X1) ),
    inference(resolution,[],[f17,f7]) ).

fof(f114,plain,
    ! [X0,X1] :
      ( ~ p2(f3(f4(X0)),X1)
      | p5(f3(f3(X0)),X1) ),
    inference(resolution,[],[f60,f1]) ).

fof(f225,plain,
    p5(f3(f3(c7)),f3(f4(c8))),
    inference(resolution,[],[f114,f28]) ).

fof(f354,plain,
    ! [X0] :
      ( ~ p6(X0,f3(f3(c7)))
      | p5(X0,f3(f4(c8))) ),
    inference(resolution,[],[f225,f15]) ).

fof(f1194,plain,
    p5(c7,f3(f4(c8))),
    inference(resolution,[],[f354,f22]) ).

fof(f1197,plain,
    p6(f4(c7),f3(f4(c8))),
    inference(resolution,[],[f1194,f10]) ).

fof(f1199,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f1197,f5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18  % Computer : n006.cluster.edu
% 0.09/0.18  % Model    : x86_64 x86_64
% 0.09/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18  % Memory   : 8046.5625MB
% 0.09/0.18  % OS       : Linux 6.8.0-71-generic
% 0.09/0.18  % CPULimit : 300
% 0.09/0.18  % WCLimit  : 300
% 0.09/0.18  % DateTime : Mon Sep 28 16:28:55 UTC 2026
% 0.09/0.18  % CPUTime  : 
% 0.09/0.18  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21  Running first-order model finding
% 0.09/0.21  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.27  % (4097345)Will run a generic schedule for satisfiability detection.
% 0.47/0.27  % (4097359)dis+10_1_sil=32000:sp=arity:random_seed=3821714376:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.47/0.27  % (4097356)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=566577359_3000 on theBenchmark for (3000ds/0Mi)
% 0.47/0.27  % (4097358)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4242753194:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.47/0.27  % (4097360)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4158371662:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.47/0.27  % (4097361)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=431705827:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.47/0.27  % (4097362)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4061361996:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.47/0.27  % TRYING [1]
% 0.47/0.27  % (4097357)% WARNING: option uhcvi not known.
% 0.47/0.27  % TRYING [2]
% 0.47/0.27  % TRYING [3]
% 0.47/0.27  % TRYING [4]
% 0.47/0.27  % (4097357)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1907014433:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.47/0.27  % TRYING [5]
% 0.47/0.27  % TRYING [6]
% 0.47/0.27  % (4097361) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4097345-4097361"...
% 0.47/0.27  % (4097361)...printing done.
% 0.47/0.27  % (4097361)Refutation found. Thanks to Tanya!
% 0.47/0.27  % SZS status Unsatisfiable for theBenchmark
% 0.47/0.27  % SZS output start Proof for theBenchmark
% See solution above
% 0.47/0.27  % (4097361)------------------------------
% 0.47/0.27  % (4097361)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.47/0.27  % (4097361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.47/0.27  % (4097361)CaDiCaL version: 2.1.3
% 0.47/0.27  % (4097361)Termination reason: Refutation
% 0.47/0.27  % (4097361)Time elapsed: 0.018 s
% 0.47/0.27  % (4097361)Peak memory usage: 11 MB
% 0.47/0.27  % (4097361)Instructions burned: 28 (million)
% 0.47/0.27  % (4097345)Success in time 0.043 s
% 0.47/0.27  % Vampire exiting
%------------------------------------------------------------------------------