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

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n003.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 12:37:30 PM UTC 2026

% Result   : Unsatisfiable 0.88s 0.61s
% Output   : Refutation 0.88s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   19 (   8 unt;   2 def)
%            Number of atoms       :   30 (   3 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   25 (  14   ~;   9   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    6 (   4 usr;   4 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-3 aty)
%            Number of variables   :    5 (   0 sgn   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f791,axiom,
    ! [X0,X1] :
      ( c_List_Odistinct(c_List_Olist_OCons(X0,c_List_Olist_OCons(X1,c_List_Olist_OCons(v_sko__Arrow__Order__Mirabelle__Xthird__alt__1(X0,X1),c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
      | X0 = X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_third__alt_0) ).

fof(f794,axiom,
    ! [X0] :
      ( v_thesis____
      | ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).

fof(f807,axiom,
    v_c____ != v_d____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_02) ).

fof(f809,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f980,definition,
    ( spl0_1
  <=> ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f981,plain,
    ( ! [X0] : ~ c_List_Odistinct(c_List_Olist_OCons(v_c____,c_List_Olist_OCons(v_d____,c_List_Olist_OCons(X0,c_List_Olist_ONil(tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt),tc_Arrow__Order__Mirabelle_Oalt)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f980]) ).

fof(f983,definition,
    ( spl0_2
  <=> v_thesis____ ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f985,plain,
    ( v_thesis____
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f987,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f794,f983,f980]) ).

fof(f994,plain,
    ( v_c____ = v_d____
    | ~ spl0_1 ),
    inference(resolution,[],[f791,f981]) ).

fof(f996,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f994,f807]) ).

fof(f997,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f996]) ).

fof(f998,plain,
    ( $false
    | ~ spl0_2 ),
    inference(forward_subsumption_resolution,[],[f985,f809]) ).

fof(f999,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[],[f998]) ).

cnf(s2,plain,
    ( spl0_1
    | spl0_2 ),
    inference(sat_conversion,[],[f987]) ).

cnf(s3,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f997]) ).

cnf(s4,plain,
    ~ spl0_2,
    inference(sat_conversion,[],[f999]) ).

cnf(s5,plain,
    $false,
    inference(rat,[],[s2,s4,s3]) ).

fof(f1000,plain,
    $false,
    inference(avatar_sat_refutation,[],[s5]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SCT088-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.40  % Computer : n003.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.40  % CPULimit : 300
% 0.13/0.40  % WCLimit  : 300
% 0.13/0.40  % DateTime : Sun Sep 27 23:42:26 UTC 2026
% 0.13/0.40  % CPUTime  : 
% 0.13/0.40  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.43  Running first-order model finding
% 0.13/0.43  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.88/0.61  % (1051088)Will run a generic schedule for satisfiability detection.
% 0.88/0.61  % (1051095)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3318482239:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.88/0.61  % (1051094)% WARNING: option uhcvi not known.
% 0.88/0.61  % (1051093)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=84236229_2999 on theBenchmark for (2999ds/0Mi)
% 0.88/0.61  % (1051094)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=669075580:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.88/0.61  % (1051096)dis+10_1_sil=32000:sp=arity:random_seed=3104177744:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.88/0.61  % (1051097)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3136749090:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.88/0.61  % (1051098)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=395254550:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.88/0.61  % (1051099)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2707960940:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.88/0.61  % (1051096)Instruction limit reached! 
% 0.88/0.61  % (1051096)------------------------------
% 0.88/0.61  % (1051096)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.61  % (1051096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.61  % (1051096)CaDiCaL version: 2.1.3
% 0.88/0.61  % (1051096)Termination reason: Instruction limit
% 0.88/0.61  % (1051096)Termination phase: Saturation
% 0.88/0.61  % (1051096)Time elapsed: 0.067 s
% 0.88/0.61  % (1051096)Peak memory usage: 12 MB
% 0.88/0.61  % (1051096)Instructions burned: 104 (million)
% 0.88/0.61  % (1051097)Instruction limit reached! 
% 0.88/0.61  % (1051097)------------------------------
% 0.88/0.61  % (1051097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.61  % (1051097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.61  % (1051097)CaDiCaL version: 2.1.3
% 0.88/0.61  % (1051097)Termination reason: Instruction limit
% 0.88/0.61  % (1051097)Termination phase: Saturation
% 0.88/0.61  % (1051097)Time elapsed: 0.075 s
% 0.88/0.61  % (1051097)Peak memory usage: 13 MB
% 0.88/0.61  % (1051097)Instructions burned: 117 (million)
% 0.88/0.61  % (1051098)Instruction limit reached! 
% 0.88/0.61  % (1051098)------------------------------
% 0.88/0.61  % (1051098)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.61  % (1051098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.61  % (1051098)CaDiCaL version: 2.1.3
% 0.88/0.61  % (1051098)Termination reason: Instruction limit
% 0.88/0.61  % (1051098)Termination phase: Saturation
% 0.88/0.61  % (1051098)Time elapsed: 0.076 s
% 0.88/0.61  % (1051098)Peak memory usage: 13 MB
% 0.88/0.61  % (1051098)Instructions burned: 131 (million)
% 0.88/0.61  % (1051107)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=627741875:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.88/0.61  % (1051111)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1930181746:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.88/0.61  % (1051112)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2776664571:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.88/0.61  % TRYING [1]
% 0.88/0.61  % TRYING [2]
% 0.88/0.61  % (1051099)Instruction limit reached! 
% 0.88/0.61  % (1051099)------------------------------
% 0.88/0.61  % (1051099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.61  % (1051099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.61  % (1051099)CaDiCaL version: 2.1.3
% 0.88/0.61  % (1051099)Termination reason: Instruction limit
% 0.88/0.61  % (1051099)Termination phase: Saturation
% 0.88/0.61  % (1051099)Time elapsed: 0.109 s
% 0.88/0.61  % (1051099)Peak memory usage: 14 MB
% 0.88/0.61  % (1051099)Instructions burned: 160 (million)
% 0.88/0.61  % (1051112) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1051088-1051112"...
% 0.88/0.61  % (1051112)...printing done.
% 0.88/0.61  % (1051112)Refutation found. Thanks to Tanya!
% 0.88/0.61  % SZS status Unsatisfiable for theBenchmark
% 0.88/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 0.88/0.61  % (1051112)------------------------------
% 0.88/0.61  % (1051112)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.88/0.61  % (1051112)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.88/0.61  % (1051112)CaDiCaL version: 2.1.3
% 0.88/0.61  % (1051112)Termination reason: Refutation
% 0.88/0.61  % (1051112)Time elapsed: 0.013 s
% 0.88/0.61  % (1051112)Peak memory usage: 13 MB
% 0.88/0.61  % (1051112)Instructions burned: 24 (million)
% 0.88/0.61  % (1051088)Success in time 0.168 s
% 0.88/0.61  % Vampire exiting
%------------------------------------------------------------------------------