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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : COL090-3 : TPTP v9.3.1. Released v2.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n002.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 09:37:55 AM UTC 2026

% Result   : Unsatisfiable 3.22s 1.09s
% Output   : Refutation 3.74s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   74 (  22 unt;   8 def)
%            Number of atoms       :  150 (  18 equ)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  138 (  62   ~;  68   |;   0   &)
%                                         (   8 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    6 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   9 prp; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   4 con; 0-3 aty)
%            Number of variables   :   33 (   0 sgn  33   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    combK != combS,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_s) ).

fof(f3,axiom,
    ! [X0,X1] : combS != comb_app(X0,X1),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_app) ).

fof(f4,axiom,
    ! [X2,X3,X0,X1] :
      ( comb_app(X0,X1) != comb_app(X2,X3)
      | X0 = X2 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',app_app1) ).

fof(f7,axiom,
    ! [X2,X0,X1] :
      ( ~ member(pair(comb_app(X0,X1),X2),contract)
      | ap_contractE_c1(X0,X1,X2)
      | ap_contractE_c2(X0,X1,X2)
      | ap_contractE_c3(X0,X1,X2)
      | ap_contractE_c4(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE1) ).

fof(f10,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_contractE_c1(X0,X1,X2)
      | X0 = comb_app(combK,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE4) ).

fof(f11,plain,
    ! [X2,X0,X1] :
      ( ~ ap_contractE_c1(X0,X1,X2)
      | comb_app(combK,X2) = X0 ),
    inference(reorient_equations,[],[f10]) ).

fof(f17,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_contractE_c2(X0,X1,X2)
      | X0 = comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE9) ).

fof(f18,plain,
    ! [X2,X0,X1] :
      ( ~ ap_contractE_c2(X0,X1,X2)
      | comb_app(comb_app(combS,ap_contractE_sk1p(X0,X1,X2)),ap_contractE_sk1q(X0,X1,X2)) = X0 ),
    inference(reorient_equations,[],[f17]) ).

fof(f19,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_contractE_c3(X0,X1,X2)
      | member(pair(X0,ap_contractE_sk2q(X0,X1,X2)),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE10) ).

fof(f23,axiom,
    ! [X2,X0,X1] :
      ( ~ ap_contractE_c4(X0,X1,X2)
      | member(pair(X1,ap_contractE_sk3q(X0,X1,X2)),contract) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ap_contractE13) ).

fof(f27,axiom,
    ! [X0] : ~ member(pair(combK,X0),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_contractE) ).

fof(f28,axiom,
    ! [X0] : ~ member(pair(combS,X0),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s_contractE) ).

fof(f29,negated_conjecture,
    member(pair(comb_app(comb_app(combS,combK),combK),r),contract),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',i_contract_E) ).

fof(f34,plain,
    ( ap_contractE_c1(comb_app(combS,combK),combK,r)
    | ap_contractE_c2(comb_app(combS,combK),combK,r)
    | ap_contractE_c3(comb_app(combS,combK),combK,r)
    | ap_contractE_c4(comb_app(combS,combK),combK,r) ),
    inference(resolution,[],[f7,f29]) ).

fof(f36,definition,
    ( spl0_1
  <=> ap_contractE_c4(comb_app(combS,combK),combK,r) ),
    introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).

fof(f38,plain,
    ( ap_contractE_c4(comb_app(combS,combK),combK,r)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f36]) ).

fof(f40,definition,
    ( spl0_2
  <=> ap_contractE_c3(comb_app(combS,combK),combK,r) ),
    introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).

fof(f42,plain,
    ( ap_contractE_c3(comb_app(combS,combK),combK,r)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f40]) ).

fof(f44,definition,
    ( spl0_3
  <=> ap_contractE_c2(comb_app(combS,combK),combK,r) ),
    introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).

fof(f46,plain,
    ( ap_contractE_c2(comb_app(combS,combK),combK,r)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f44]) ).

fof(f48,definition,
    ( spl0_4
  <=> ap_contractE_c1(comb_app(combS,combK),combK,r) ),
    introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).

fof(f50,plain,
    ( ap_contractE_c1(comb_app(combS,combK),combK,r)
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f48]) ).

fof(f51,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f34,f48,f44,f40,f36]) ).

fof(f63,definition,
    ( spl0_5
  <=> ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
    introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).

fof(f64,plain,
    ( ~ ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | spl0_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f65,plain,
    ( ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f63]) ).

fof(f67,definition,
    ( spl0_6
  <=> ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f69,plain,
    ( ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f67]) ).

fof(f71,definition,
    ( spl0_7
  <=> ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
    introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).

fof(f73,plain,
    ( ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f71]) ).

fof(f75,definition,
    ( spl0_8
  <=> ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)) ),
    introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).

fof(f77,plain,
    ( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ~ spl0_8 ),
    inference(avatar_component_clause,[],[f75]) ).

fof(f80,plain,
    ( member(pair(combK,ap_contractE_sk3q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
    | ~ spl0_5 ),
    inference(resolution,[],[f65,f23]) ).

fof(f81,plain,
    ( $false
    | ~ spl0_5 ),
    inference(forward_subsumption_resolution,[],[f80,f27]) ).

fof(f82,plain,
    ~ spl0_5,
    inference(avatar_contradiction_clause,[],[f81]) ).

fof(f84,plain,
    ( comb_app(combS,combK) = comb_app(comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)),ap_contractE_sk1q(comb_app(combS,combK),combK,r))
    | ~ spl0_3 ),
    inference(resolution,[],[f46,f18]) ).

fof(f94,plain,
    ( ! [X0,X1] :
        ( comb_app(X0,X1) != comb_app(combS,combK)
        | comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r)) = X0 )
    | ~ spl0_3 ),
    inference(superposition,[],[f4,f84]) ).

fof(f127,plain,
    ( combS = comb_app(combS,ap_contractE_sk1p(comb_app(combS,combK),combK,r))
    | ~ spl0_3 ),
    inference(equality_resolution,[],[f94]) ).

fof(f128,plain,
    ( $false
    | ~ spl0_3 ),
    inference(forward_subsumption_resolution,[],[f127,f3]) ).

fof(f129,plain,
    ~ spl0_3,
    inference(avatar_contradiction_clause,[],[f128]) ).

fof(f130,plain,
    ( comb_app(combS,combK) = comb_app(combK,r)
    | ~ spl0_4 ),
    inference(resolution,[],[f50,f11]) ).

fof(f139,plain,
    ( ! [X0,X1] :
        ( comb_app(X0,X1) != comb_app(combK,r)
        | combS = X0 )
    | ~ spl0_4 ),
    inference(superposition,[],[f4,f130]) ).

fof(f146,plain,
    ( combK = combS
    | ~ spl0_4 ),
    inference(equality_resolution,[],[f139]) ).

fof(f147,plain,
    ( $false
    | ~ spl0_4 ),
    inference(forward_subsumption_resolution,[],[f146,f1]) ).

fof(f148,plain,
    ~ spl0_4,
    inference(avatar_contradiction_clause,[],[f147]) ).

fof(f150,plain,
    ( member(pair(comb_app(combS,combK),ap_contractE_sk2q(comb_app(combS,combK),combK,r)),contract)
    | ~ spl0_2 ),
    inference(resolution,[],[f42,f19]) ).

fof(f152,plain,
    ( member(pair(combS,ap_contractE_sk2q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),contract)
    | ~ spl0_6 ),
    inference(resolution,[],[f69,f19]) ).

fof(f153,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f152,f28]) ).

fof(f154,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f153]) ).

fof(f162,plain,
    ( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ap_contractE_c4(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ~ spl0_2 ),
    inference(resolution,[],[f150,f7]) ).

fof(f163,plain,
    ( ap_contractE_c1(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ap_contractE_c2(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ap_contractE_c3(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ~ spl0_2
    | spl0_5 ),
    inference(forward_subsumption_resolution,[],[f162,f64]) ).

fof(f164,plain,
    ( spl0_6
    | spl0_7
    | spl0_8
    | ~ spl0_2
    | spl0_5 ),
    inference(avatar_split_clause,[],[f163,f63,f40,f75,f71,f67]) ).

fof(f166,plain,
    ( combS = comb_app(comb_app(combS,ap_contractE_sk1p(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))),ap_contractE_sk1q(combS,combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r)))
    | ~ spl0_7 ),
    inference(resolution,[],[f73,f18]) ).

fof(f167,plain,
    ( $false
    | ~ spl0_7 ),
    inference(forward_subsumption_resolution,[],[f166,f3]) ).

fof(f168,plain,
    ~ spl0_7,
    inference(avatar_contradiction_clause,[],[f167]) ).

fof(f169,plain,
    ( combS = comb_app(combK,ap_contractE_sk2q(comb_app(combS,combK),combK,r))
    | ~ spl0_8 ),
    inference(resolution,[],[f77,f11]) ).

fof(f170,plain,
    ( $false
    | ~ spl0_8 ),
    inference(forward_subsumption_resolution,[],[f169,f3]) ).

fof(f171,plain,
    ~ spl0_8,
    inference(avatar_contradiction_clause,[],[f170]) ).

fof(f173,plain,
    ( member(pair(combK,ap_contractE_sk3q(comb_app(combS,combK),combK,r)),contract)
    | ~ spl0_1 ),
    inference(resolution,[],[f38,f23]) ).

fof(f174,plain,
    ( $false
    | ~ spl0_1 ),
    inference(forward_subsumption_resolution,[],[f173,f27]) ).

fof(f175,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[],[f174]) ).

cnf(s1,plain,
    ( spl0_1
    | spl0_2
    | spl0_3
    | spl0_4 ),
    inference(sat_conversion,[],[f51]) ).

cnf(s3,plain,
    ~ spl0_5,
    inference(sat_conversion,[],[f82]) ).

cnf(s5,plain,
    ~ spl0_3,
    inference(sat_conversion,[],[f129]) ).

cnf(s6,plain,
    ~ spl0_4,
    inference(sat_conversion,[],[f148]) ).

cnf(s7,plain,
    ~ spl0_6,
    inference(sat_conversion,[],[f154]) ).

cnf(s8,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_6
    | spl0_7
    | spl0_8 ),
    inference(sat_conversion,[],[f164]) ).

cnf(s9,plain,
    ~ spl0_7,
    inference(sat_conversion,[],[f168]) ).

cnf(s10,plain,
    ~ spl0_8,
    inference(sat_conversion,[],[f171]) ).

cnf(s11,plain,
    ~ spl0_1,
    inference(sat_conversion,[],[f175]) ).

cnf(s12,plain,
    ( ~ spl0_2
    | spl0_5
    | spl0_6 ),
    inference(rat,[],[s8,s10,s9]) ).

cnf(s13,plain,
    ~ spl0_2,
    inference(rat,[],[s12,s7,s3]) ).

cnf(s14,plain,
    $false,
    inference(rat,[],[s1,s6,s5,s13,s11]) ).

fof(f176,plain,
    $false,
    inference(avatar_sat_refutation,[],[s14]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : COL090-3 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.17  % Computer : n002.cluster.edu
% 0.10/0.17  % Model    : x86_64 x86_64
% 0.10/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.17  % Memory   : 8046.5625MB
% 0.10/0.17  % OS       : Linux 6.8.0-71-generic
% 0.10/0.17  % CPULimit : 300
% 0.10/0.17  % WCLimit  : 300
% 0.10/0.17  % DateTime : Mon Sep 28 21:38:07 UTC 2026
% 0.10/0.17  % CPUTime  : 
% 0.10/0.17  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.20  Running first-order theorem proving
% 0.10/0.20  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
% 3.22/1.09  % (800293)Input is clausal, will run a generic CNF schedule.
% 3.22/1.09  % (800302)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3696693655:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.22/1.09  % (800302)Refutation not found, incomplete strategy
% 3.22/1.09  % (800302)------------------------------
% 3.22/1.09  % (800302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.09  % (800302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.09  % (800302)CaDiCaL version: 2.1.3
% 3.22/1.09  % (800302)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.09  % (800302)Time elapsed: 0.002 s
% 3.22/1.09  % (800302)Peak memory usage: 88 MB
% 3.22/1.09  % (800302)Instructions burned: 2 (million)
% 3.22/1.09  % (800298)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=469420683:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.22/1.09  % (800299)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1974333137:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.22/1.09  % (800301)lrs+10_1_sil=8000:sp=occurrence:random_seed=1785545656:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.22/1.09  % (800300)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1017605220:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.22/1.09  % (800303)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3153469446:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.22/1.09  % (800304)dis-21_1_sil=8000:lcm=predicate:random_seed=1460126967: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)
% 3.22/1.09  % (800303)First to succeed.
% 3.22/1.09  % (800303)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-800293"
% 3.22/1.09  % (800301)Also succeeded, but the first one will report.
% 3.22/1.09  % (800304)Instruction limit reached! 
% 3.22/1.09  % (800304)------------------------------
% 3.22/1.09  % (800304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.09  % (800304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.09  % (800304)CaDiCaL version: 2.1.3
% 3.22/1.09  % (800304)Termination reason: Instruction limit
% 3.22/1.09  % (800304)Termination phase: Saturation
% 3.22/1.09  % (800304)Time elapsed: 0.064 s
% 3.22/1.09  % (800304)Peak memory usage: 89 MB
% 3.22/1.09  % (800304)Instructions burned: 117 (million)
% 3.22/1.09  % (800302)------------------------------
% 3.22/1.09  % (800302)------------------------------
% 3.22/1.09  % (800313)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4284236030:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.22/1.09  % (800313)Refutation not found, incomplete strategy
% 3.22/1.09  % (800313)------------------------------
% 3.22/1.09  % (800313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.09  % (800313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.09  % (800313)CaDiCaL version: 2.1.3
% 3.22/1.09  % (800313)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.09  % (800313)Time elapsed: 0.001 s
% 3.22/1.09  % (800313)Peak memory usage: 88 MB
% 3.22/1.09  % (800313)Instructions burned: 1 (million)
% 3.22/1.09  % (800312)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=3324556925:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.22/1.09  % (800312)Refutation not found, incomplete strategy
% 3.22/1.09  % (800312)------------------------------
% 3.22/1.09  % (800312)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.22/1.09  % (800312)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.22/1.09  % (800312)CaDiCaL version: 2.1.3
% 3.22/1.09  % (800312)Termination reason: Refutation not found, incomplete strategy
% 3.22/1.09  % (800312)Time elapsed: 0.002 s
% 3.22/1.09  % (800312)Peak memory usage: 88 MB
% 3.22/1.09  % (800312)Instructions burned: 1 (million)
% 3.22/1.09  % (800303)Refutation found. Thanks to Tanya!
% 3.22/1.09  % SZS status Unsatisfiable for theBenchmark
% 3.22/1.09  % SZS output start Proof for theBenchmark
% See solution above
% 3.74/1.19  % (800303)------------------------------
% 3.74/1.19  % (800303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.74/1.19  % (800303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.74/1.19  % (800303)CaDiCaL version: 2.1.3
% 3.74/1.19  % (800303)Termination reason: Refutation
% 3.74/1.19  % (800303)Time elapsed: 0.008 s
% 3.74/1.19  % (800303)Peak memory usage: 89 MB
% 3.74/1.19  % (800303)Instructions burned: 9 (million)
% 3.74/1.19  % (800303)------------------------------
% 3.74/1.19  % (800303)------------------------------
% 3.74/1.19  % (800293)Success in time 0.455 s
% 3.74/1.19  % Vampire exiting
%------------------------------------------------------------------------------