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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : CSR158+1 : TPTP v9.3.1. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n005.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 09:46:24 AM UTC 2026

% Result   : Theorem 27.19s 4.28s
% Output   : Refutation 27.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (  11 unt;   0 def)
%            Number of atoms       :  152 (   5 equ)
%            Maximal formula atoms :   40 (   5 avg)
%            Number of connectives :  141 (  16   ~;  10   |;  92   &)
%                                         (  21 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   19 (  17 usr;   1 prp; 0-7 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :  132 ( 128   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f5,axiom,
    ! [X0,X1] :
      ( p__d__disjoint(X0,X1)
    <=> ! [X2] :
          ( ~ p__d__instance(X2,X0)
          | ~ p__d__instance(X2,X1) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',predefinitionsA15) ).

fof(f6,axiom,
    ( ! [X0,X1,X2] :
        ( p__d__partition3(X0,X1,X2)
      <=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
          & p__d__disjointDecomposition3(X0,X1,X2) ) )
    & ! [X0,X1,X2,X3] :
        ( p__d__partition4(X0,X1,X2,X3)
      <=> ( p__d__exhaustiveDecomposition4(X0,X1,X2,X3)
          & p__d__disjointDecomposition4(X0,X1,X2,X3) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( p__d__partition5(X0,X1,X2,X3,X4)
      <=> ( p__d__exhaustiveDecomposition5(X0,X1,X2,X3,X4)
          & p__d__disjointDecomposition5(X0,X1,X2,X3,X4) ) )
    & ! [X0,X1,X2,X3,X4,X5] :
        ( p__d__partition6(X0,X1,X2,X3,X4,X5)
      <=> ( p__d__exhaustiveDecomposition6(X0,X1,X2,X3,X4,X5)
          & p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5) ) )
    & ! [X0,X1,X2,X3,X4,X5,X6] :
        ( p__d__partition7(X0,X1,X2,X3,X4,X5,X6)
      <=> ( p__d__exhaustiveDecomposition7(X0,X1,X2,X3,X4,X5,X6)
          & p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',predefinitionsA18) ).

fof(f8,axiom,
    ( ! [X0,X1,X2] :
        ( p__d__disjointDecomposition3(X0,X1,X2)
      <=> p__d__disjoint(X1,X2) )
    & ! [X0,X1,X2,X3] :
        ( p__d__disjointDecomposition4(X0,X1,X2,X3)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X2,X3) ) )
    & ! [X0,X1,X2,X3,X4] :
        ( p__d__disjointDecomposition5(X0,X1,X2,X3,X4)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X1,X4)
          & p__d__disjoint(X2,X3)
          & p__d__disjoint(X2,X4)
          & p__d__disjoint(X3,X4) ) )
    & ! [X0,X1,X2,X3,X4,X5] :
        ( p__d__disjointDecomposition6(X0,X1,X2,X3,X4,X5)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X1,X4)
          & p__d__disjoint(X1,X5)
          & p__d__disjoint(X2,X3)
          & p__d__disjoint(X2,X4)
          & p__d__disjoint(X2,X5)
          & p__d__disjoint(X3,X4)
          & p__d__disjoint(X3,X5)
          & p__d__disjoint(X4,X5) ) )
    & ! [X0,X1,X2,X3,X4,X5,X6] :
        ( p__d__disjointDecomposition7(X0,X1,X2,X3,X4,X5,X6)
      <=> ( p__d__disjoint(X1,X2)
          & p__d__disjoint(X1,X3)
          & p__d__disjoint(X1,X4)
          & p__d__disjoint(X1,X5)
          & p__d__disjoint(X1,X6)
          & p__d__disjoint(X2,X3)
          & p__d__disjoint(X2,X4)
          & p__d__disjoint(X2,X5)
          & p__d__disjoint(X2,X6)
          & p__d__disjoint(X3,X4)
          & p__d__disjoint(X3,X5)
          & p__d__disjoint(X3,X6)
          & p__d__disjoint(X4,X5)
          & p__d__disjoint(X4,X6)
          & p__d__disjoint(X5,X6) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',predefinitionsA24) ).

fof(f212,axiom,
    p__d__partition3(c__HumanLanguage,c__NaturalLanguage,c__ConstructedLanguage),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR006+0.ax',mergeA299) ).

fof(f7433,conjecture,
    ! [X0,X1] :
      ( ( p__d__instance(X0,c__ConstructedLanguage)
        & p__d__instance(X1,c__NaturalLanguage) )
     => X0 != X1 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',antonymPattern10010) ).

fof(f7434,negated_conjecture,
    ~ ! [X0,X1] :
        ( ( p__d__instance(X0,c__ConstructedLanguage)
          & p__d__instance(X1,c__NaturalLanguage) )
       => X0 != X1 ),
    inference(negated_conjecture,[status(cth)],[f7433]) ).

fof(f7435,plain,
    ( ! [X0,X1,X2] :
        ( p__d__partition3(X0,X1,X2)
      <=> ( p__d__exhaustiveDecomposition3(X0,X1,X2)
          & p__d__disjointDecomposition3(X0,X1,X2) ) )
    & ! [X3,X4,X5,X6] :
        ( p__d__partition4(X3,X4,X5,X6)
      <=> ( p__d__exhaustiveDecomposition4(X3,X4,X5,X6)
          & p__d__disjointDecomposition4(X3,X4,X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( p__d__partition5(X7,X8,X9,X10,X11)
      <=> ( p__d__exhaustiveDecomposition5(X7,X8,X9,X10,X11)
          & p__d__disjointDecomposition5(X7,X8,X9,X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( p__d__partition6(X12,X13,X14,X15,X16,X17)
      <=> ( p__d__exhaustiveDecomposition6(X12,X13,X14,X15,X16,X17)
          & p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( p__d__partition7(X18,X19,X20,X21,X22,X23,X24)
      <=> ( p__d__exhaustiveDecomposition7(X18,X19,X20,X21,X22,X23,X24)
          & p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24) ) ) ),
    inference(rectify,[],[f6]) ).

fof(f7437,plain,
    ( ! [X0,X1,X2] :
        ( p__d__disjointDecomposition3(X0,X1,X2)
      <=> p__d__disjoint(X1,X2) )
    & ! [X3,X4,X5,X6] :
        ( p__d__disjointDecomposition4(X3,X4,X5,X6)
      <=> ( p__d__disjoint(X4,X5)
          & p__d__disjoint(X4,X6)
          & p__d__disjoint(X5,X6) ) )
    & ! [X7,X8,X9,X10,X11] :
        ( p__d__disjointDecomposition5(X7,X8,X9,X10,X11)
      <=> ( p__d__disjoint(X8,X9)
          & p__d__disjoint(X8,X10)
          & p__d__disjoint(X8,X11)
          & p__d__disjoint(X9,X10)
          & p__d__disjoint(X9,X11)
          & p__d__disjoint(X10,X11) ) )
    & ! [X12,X13,X14,X15,X16,X17] :
        ( p__d__disjointDecomposition6(X12,X13,X14,X15,X16,X17)
      <=> ( p__d__disjoint(X13,X14)
          & p__d__disjoint(X13,X15)
          & p__d__disjoint(X13,X16)
          & p__d__disjoint(X13,X17)
          & p__d__disjoint(X14,X15)
          & p__d__disjoint(X14,X16)
          & p__d__disjoint(X14,X17)
          & p__d__disjoint(X15,X16)
          & p__d__disjoint(X15,X17)
          & p__d__disjoint(X16,X17) ) )
    & ! [X18,X19,X20,X21,X22,X23,X24] :
        ( p__d__disjointDecomposition7(X18,X19,X20,X21,X22,X23,X24)
      <=> ( p__d__disjoint(X19,X20)
          & p__d__disjoint(X19,X21)
          & p__d__disjoint(X19,X22)
          & p__d__disjoint(X19,X23)
          & p__d__disjoint(X19,X24)
          & p__d__disjoint(X20,X21)
          & p__d__disjoint(X20,X22)
          & p__d__disjoint(X20,X23)
          & p__d__disjoint(X20,X24)
          & p__d__disjoint(X21,X22)
          & p__d__disjoint(X21,X23)
          & p__d__disjoint(X21,X24)
          & p__d__disjoint(X22,X23)
          & p__d__disjoint(X22,X24)
          & p__d__disjoint(X23,X24) ) ) ),
    inference(rectify,[],[f8]) ).

fof(f11600,plain,
    ? [X0,X1] :
      ( X0 = X1
      & p__d__instance(X0,c__ConstructedLanguage)
      & p__d__instance(X1,c__NaturalLanguage) ),
    inference(ennf_transformation,[],[f7434]) ).

fof(f11601,plain,
    ? [X0,X1] :
      ( X0 = X1
      & p__d__instance(X0,c__ConstructedLanguage)
      & p__d__instance(X1,c__NaturalLanguage) ),
    inference(flattening,[],[f11600]) ).

fof(f11606,plain,
    ! [X2,X0,X1] :
      ( ~ p__d__instance(X2,X1)
      | ~ p__d__instance(X2,X0)
      | ~ p__d__disjoint(X0,X1) ),
    inference(cnf_transformation,[],[f5]) ).

fof(f11609,plain,
    ! [X2,X0,X1] :
      ( p__d__disjointDecomposition3(X0,X1,X2)
      | ~ p__d__partition3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f7435]) ).

fof(f11693,plain,
    ! [X2,X0,X1] :
      ( p__d__disjoint(X1,X2)
      | ~ p__d__disjointDecomposition3(X0,X1,X2) ),
    inference(cnf_transformation,[],[f7437]) ).

fof(f12023,plain,
    p__d__partition3(c__HumanLanguage,c__NaturalLanguage,c__ConstructedLanguage),
    inference(cnf_transformation,[],[f212]) ).

fof(f22367,plain,
    p__d__instance(sK1238,c__NaturalLanguage),
    inference(cnf_transformation,[],[f11601]) ).

fof(f22368,plain,
    p__d__instance(sK1237,c__ConstructedLanguage),
    inference(cnf_transformation,[],[f11601]) ).

fof(f22369,plain,
    sK1237 = sK1238,
    inference(cnf_transformation,[],[f11601]) ).

fof(f22370,plain,
    p__d__instance(sK1238,c__ConstructedLanguage),
    inference(definition_unfolding,[],[f22368,f22369]) ).

fof(f22558,plain,
    ! [X2,X0,X1] :
      ( ~ p__d__instance(X2,X0)
      | ~ p__d__instance(X2,X1)
      | p__d__disjoint(X0,X1) ),
    inference(consistent_polarity_flipping,[],[f11606]) ).

fof(f22572,plain,
    ! [X2,X0,X1] :
      ( ~ p__d__disjointDecomposition3(X0,X1,X2)
      | p__d__partition3(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f11609]) ).

fof(f22596,plain,
    ! [X2,X0,X1] :
      ( ~ p__d__disjoint(X1,X2)
      | p__d__disjointDecomposition3(X0,X1,X2) ),
    inference(consistent_polarity_flipping,[],[f11693]) ).

fof(f22796,plain,
    ~ p__d__partition3(c__HumanLanguage,c__NaturalLanguage,c__ConstructedLanguage),
    inference(consistent_polarity_flipping,[],[f12023]) ).

fof(f62614,plain,
    ! [X0] :
      ( ~ p__d__instance(sK1238,X0)
      | p__d__disjoint(c__NaturalLanguage,X0) ),
    inference(resolution,[],[f22558,f22367]) ).

fof(f62629,plain,
    p__d__disjoint(c__NaturalLanguage,c__ConstructedLanguage),
    inference(resolution,[],[f62614,f22370]) ).

fof(f62726,plain,
    ! [X0] : p__d__disjointDecomposition3(X0,c__NaturalLanguage,c__ConstructedLanguage),
    inference(resolution,[],[f62629,f22596]) ).

fof(f62792,plain,
    ! [X0] : p__d__partition3(X0,c__NaturalLanguage,c__ConstructedLanguage),
    inference(resolution,[],[f62726,f22572]) ).

fof(f62797,plain,
    $false,
    inference(backward_subsumption_resolution,[],[f22796,f62792]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR158+1 : TPTP v9.3.1. Released v7.3.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.20  % Computer : n005.cluster.edu
% 0.10/0.20  % Model    : x86_64 x86_64
% 0.10/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20  % Memory   : 8046.5625MB
% 0.10/0.20  % OS       : Linux 6.8.0-71-generic
% 0.10/0.20  % CPULimit : 300
% 0.10/0.20  % WCLimit  : 300
% 0.10/0.20  % DateTime : Mon Sep 28 23:38:31 UTC 2026
% 0.10/0.20  % CPUTime  : 
% 0.10/0.20  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23  Running first-order model finding
% 0.10/0.23  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
% 15.12/2.58  % (1289218)Will run a generic schedule for satisfiability detection.
% 15.12/2.58  % (1289226)dis+10_1_sil=32000:sp=arity:random_seed=636915683:i=103:fgj=on_2998 on theBenchmark for (2998ds/103Mi)
% 15.12/2.58  % (1289224)% WARNING: option uhcvi not known.
% 15.12/2.58  % (1289224)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4264717822:i=135531:add=off:rawr=on_2998 on theBenchmark for (2998ds/135531Mi)
% 15.12/2.58  % (1289223)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=793146070_2998 on theBenchmark for (2998ds/0Mi)
% 15.12/2.58  % (1289225)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=264204538:i=88024:add=on:rawr=on_2998 on theBenchmark for (2998ds/88024Mi)
% 15.12/2.58  % (1289227)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3600415589:i=116_2998 on theBenchmark for (2998ds/116Mi)
% 15.12/2.58  % (1289229)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=39375708:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2998 on theBenchmark for (2998ds/159Mi)
% 15.12/2.58  % (1289228)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3055531333:i=131_2998 on theBenchmark for (2998ds/131Mi)
% 15.12/2.58  % (1289226)Instruction limit reached! 
% 15.12/2.58  % (1289226)------------------------------
% 15.12/2.58  % (1289226)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.58  % (1289226)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.58  % (1289226)CaDiCaL version: 2.1.3
% 15.12/2.58  % (1289226)Termination reason: Instruction limit
% 15.12/2.58  % (1289226)Termination phase: Clausification
% 15.12/2.58  % (1289226)Time elapsed: 0.037 s
% 15.12/2.58  % (1289226)Peak memory usage: 23 MB
% 15.12/2.58  % (1289226)Instructions burned: 104 (million)
% 15.12/2.58  % (1289237)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3372710870:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 15.12/2.58  % (1289227)Instruction limit reached! 
% 15.12/2.58  % (1289227)------------------------------
% 15.12/2.58  % (1289227)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.58  % (1289227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.58  % (1289227)CaDiCaL version: 2.1.3
% 15.12/2.58  % (1289227)Termination reason: Instruction limit
% 15.12/2.58  % (1289227)Termination phase: NewCNF
% 15.12/2.58  % (1289227)Time elapsed: 0.067 s
% 15.12/2.58  % (1289227)Peak memory usage: 23 MB
% 15.12/2.58  % (1289227)Instructions burned: 118 (million)
% 15.12/2.58  % (1289239)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=219205559:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 15.12/2.58  % (1289229)Instruction limit reached! 
% 15.12/2.58  % (1289229)------------------------------
% 15.12/2.58  % (1289229)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.58  % (1289229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.58  % (1289229)CaDiCaL version: 2.1.3
% 15.12/2.58  % (1289229)Termination reason: Instruction limit
% 15.12/2.58  % (1289229)Termination phase: Property scanning
% 15.12/2.58  % (1289229)Time elapsed: 0.094 s
% 15.12/2.58  % (1289229)Peak memory usage: 24 MB
% 15.12/2.58  % (1289229)Instructions burned: 159 (million)
% 15.12/2.58  % (1289248)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=3684627227:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 15.12/2.58  % (1289228)Instruction limit reached! 
% 15.12/2.58  % (1289228)------------------------------
% 15.12/2.58  % (1289228)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.58  % (1289228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.12/2.58  % (1289228)CaDiCaL version: 2.1.3
% 15.12/2.58  % (1289228)Termination reason: Instruction limit
% 15.12/2.58  % (1289228)Termination phase: Property scanning
% 15.12/2.58  % (1289228)Time elapsed: 0.119 s
% 15.12/2.58  % (1289228)Peak memory usage: 23 MB
% 15.12/2.58  % (1289228)Instructions burned: 132 (million)
% 15.12/2.58  % (1289257)ott-21_1_sil=16000:fs=off:random_seed=706390117:i=180:av=off:fsr=off_2996 on theBenchmark for (2996ds/180Mi)
% 15.12/2.58  % (1289239)Instruction limit reached! 
% 15.12/2.58  % (1289239)------------------------------
% 15.12/2.58  % (1289239)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 15.12/2.58  % (1289239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289239)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289239)Termination reason: Instruction limit
% 27.19/4.27  % (1289239)Termination phase: Property scanning
% 27.19/4.27  % (1289239)Time elapsed: 0.080 s
% 27.19/4.27  % (1289239)Peak memory usage: 24 MB
% 27.19/4.27  % (1289239)Instructions burned: 131 (million)
% 27.19/4.27  % (1289276)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3135022210:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 27.19/4.27  % (1289237)Instruction limit reached! 
% 27.19/4.27  % (1289237)------------------------------
% 27.19/4.27  % (1289237)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289237)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289237)Termination reason: Instruction limit
% 27.19/4.27  % (1289237)Termination phase: Finite model building preprocessing
% 27.19/4.27  % (1289237)Time elapsed: 0.196 s
% 27.19/4.27  % (1289237)Peak memory usage: 36 MB
% 27.19/4.27  % (1289237)Instructions burned: 715 (million)
% 27.19/4.27  % (1289257)Instruction limit reached! 
% 27.19/4.27  % (1289257)------------------------------
% 27.19/4.27  % (1289257)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289257)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289257)Termination reason: Instruction limit
% 27.19/4.27  % (1289257)Termination phase: Equality resolution with deletion
% 27.19/4.27  % (1289257)Time elapsed: 0.102 s
% 27.19/4.27  % (1289257)Peak memory usage: 24 MB
% 27.19/4.27  % (1289257)Instructions burned: 182 (million)
% 27.19/4.27  % (1289310)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=592418955:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 27.19/4.27  % (1289313)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=2056067487:i=1179_2995 on theBenchmark for (2995ds/1179Mi)
% 27.19/4.27  % (1289276)Instruction limit reached! 
% 27.19/4.27  % (1289276)------------------------------
% 27.19/4.27  % (1289276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289276)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289276)Termination reason: Instruction limit
% 27.19/4.27  % (1289276)Termination phase: Saturation
% 27.19/4.27  % (1289276)Time elapsed: 0.265 s
% 27.19/4.27  % (1289276)Peak memory usage: 30 MB
% 27.19/4.27  % (1289276)Instructions burned: 479 (million)
% 27.19/4.27  % (1289248)Instruction limit reached! 
% 27.19/4.27  % (1289248)------------------------------
% 27.19/4.27  % (1289248)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289248)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289248)Termination reason: Instruction limit
% 27.19/4.27  % (1289248)Termination phase: Saturation
% 27.19/4.27  % (1289248)Time elapsed: 0.351 s
% 27.19/4.27  % (1289248)Peak memory usage: 31 MB
% 27.19/4.27  % (1289248)Instructions burned: 685 (million)
% 27.19/4.27  % (1289365)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=3537580600:i=889:ins=1_2993 on theBenchmark for (2993ds/889Mi)
% 27.19/4.27  % (1289370)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2594087307:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2993 on theBenchmark for (2993ds/692Mi)
% 27.19/4.27  % (1289310)Instruction limit reached! 
% 27.19/4.27  % (1289310)------------------------------
% 27.19/4.27  % (1289310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289310)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289310)Termination reason: Instruction limit
% 27.19/4.27  % (1289310)Termination phase: Finite model building preprocessing
% 27.19/4.27  % (1289310)Time elapsed: 0.256 s
% 27.19/4.27  % (1289310)Peak memory usage: 37 MB
% 27.19/4.27  % (1289310)Instructions burned: 868 (million)
% 27.19/4.27  % (1289378)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3455728099:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 27.19/4.27  % TRYING [1]
% 27.19/4.27  % TRYING [2]
% 27.19/4.27  % (1289378)Instruction limit reached! 
% 27.19/4.27  % (1289378)------------------------------
% 27.19/4.27  % (1289378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289378)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289378)Termination reason: Instruction limit
% 27.19/4.27  % (1289378)Termination phase: Saturation
% 27.19/4.27  % (1289378)Time elapsed: 0.238 s
% 27.19/4.27  % (1289378)Peak memory usage: 38 MB
% 27.19/4.27  % (1289378)Instructions burned: 884 (million)
% 27.19/4.27  % (1289441)fmb+10_1_sil=64000:random_seed=3125471788:i=22061:nm=2:gsp=on_2990 on theBenchmark for (2990ds/22061Mi)
% 27.19/4.27  % TRYING [3]
% 27.19/4.27  % (1289370)Instruction limit reached! 
% 27.19/4.27  % (1289370)------------------------------
% 27.19/4.27  % (1289370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289370)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289370)Termination reason: Instruction limit
% 27.19/4.27  % (1289370)Termination phase: Saturation
% 27.19/4.27  % (1289370)Time elapsed: 0.393 s
% 27.19/4.27  % (1289370)Peak memory usage: 35 MB
% 27.19/4.27  % (1289370)Instructions burned: 692 (million)
% 27.19/4.27  % (1289489)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=3033745396:i=9515:nm=5_2989 on theBenchmark for (2989ds/9515Mi)
% 27.19/4.27  % (1289313)Instruction limit reached! 
% 27.19/4.27  % (1289313)------------------------------
% 27.19/4.27  % (1289313)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289313)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289313)Termination reason: Instruction limit
% 27.19/4.27  % (1289313)Termination phase: Saturation
% 27.19/4.27  % (1289313)Time elapsed: 0.644 s
% 27.19/4.27  % (1289313)Peak memory usage: 35 MB
% 27.19/4.27  % (1289313)Instructions burned: 1180 (million)
% 27.19/4.27  % (1289365)Instruction limit reached! 
% 27.19/4.27  % (1289365)------------------------------
% 27.19/4.27  % (1289365)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289365)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289365)Termination reason: Instruction limit
% 27.19/4.27  % (1289365)Termination phase: Finite model building preprocessing
% 27.19/4.27  % (1289365)Time elapsed: 0.445 s
% 27.19/4.27  % (1289365)Peak memory usage: 38 MB
% 27.19/4.27  % (1289365)Instructions burned: 890 (million)
% 27.19/4.27  % (1289500)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=2231405969:fmbsr=1.7:i=920_2989 on theBenchmark for (2989ds/920Mi)
% 27.19/4.27  % (1289504)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=83840959:i=5131_2988 on theBenchmark for (2988ds/5131Mi)
% 27.19/4.27  % TRYING [1]
% 27.19/4.27  % TRYING [2]
% 27.19/4.27  % (1289500)Instruction limit reached! 
% 27.19/4.27  % (1289500)------------------------------
% 27.19/4.27  % (1289500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289500)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289500)Termination reason: Instruction limit
% 27.19/4.27  % (1289500)Termination phase: Finite model building preprocessing
% 27.19/4.27  % (1289500)Time elapsed: 0.448 s
% 27.19/4.27  % (1289500)Peak memory usage: 39 MB
% 27.19/4.27  % (1289500)Instructions burned: 920 (million)
% 27.19/4.27  % (1289562)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=57255430:i=1472:ins=7:fdi=8:gsp=on_2984 on theBenchmark for (2984ds/1472Mi)
% 27.19/4.27  % (1289489)Cannot represent all propositional literals internally
% 27.19/4.27  % (1289489)Refutation not found, incomplete strategy
% 27.19/4.27  % (1289489)------------------------------
% 27.19/4.27  % (1289489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.27  % (1289489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.27  % (1289489)CaDiCaL version: 2.1.3
% 27.19/4.27  % (1289489)Termination reason: Refutation not found, incomplete strategy
% 27.19/4.27  % (1289489)Time elapsed: 0.581 s
% 27.19/4.27  % (1289489)Peak memory usage: 43 MB
% 27.19/4.27  % (1289489)Instructions burned: 1176 (million)
% 27.19/4.27  % (1289489)------------------------------
% 27.19/4.27  % (1289489)------------------------------
% 27.19/4.27  % (1289564)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=993708969:i=6324_2983 on theBenchmark for (2983ds/6324Mi)
% 27.19/4.27  % TRYING [4]
% 27.19/4.27  % TRYING [3]
% 27.19/4.27  % (1289564)Cannot represent all propositional literals internally
% 27.19/4.27  % (1289564)Refutation not found, incomplete strategy
% 27.19/4.28  % (1289564)------------------------------
% 27.19/4.28  % (1289564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.28  % (1289564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.28  % (1289564)CaDiCaL version: 2.1.3
% 27.19/4.28  % (1289564)Termination reason: Refutation not found, incomplete strategy
% 27.19/4.28  % (1289564)Time elapsed: 0.619 s
% 27.19/4.28  % (1289564)Peak memory usage: 44 MB
% 27.19/4.28  % (1289564)Instructions burned: 1231 (million)
% 27.19/4.28  % (1289564)------------------------------
% 27.19/4.28  % (1289564)------------------------------
% 27.19/4.28  % (1289562)Instruction limit reached! 
% 27.19/4.28  % (1289562)------------------------------
% 27.19/4.28  % (1289562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.28  % (1289562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.28  % (1289562)CaDiCaL version: 2.1.3
% 27.19/4.28  % (1289562)Termination reason: Instruction limit
% 27.19/4.28  % (1289562)Termination phase: Saturation
% 27.19/4.28  % (1289562)Time elapsed: 0.765 s
% 27.19/4.28  % (1289562)Peak memory usage: 38 MB
% 27.19/4.28  % (1289562)Instructions burned: 1473 (million)
% 27.19/4.28  % (1289566)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2967132133:fmbsr=2.30978:i=2174_2976 on theBenchmark for (2976ds/2174Mi)
% 27.19/4.28  % (1289567)ott-2_1_sil=16000:newcnf=on:random_seed=3022880753:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2976 on theBenchmark for (2976ds/869Mi)
% 27.19/4.28  % (1289567)Instruction limit reached! 
% 27.19/4.28  % (1289567)------------------------------
% 27.19/4.28  % (1289567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.28  % (1289567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.28  % (1289567)CaDiCaL version: 2.1.3
% 27.19/4.28  % (1289567)Termination reason: Instruction limit
% 27.19/4.28  % (1289567)Termination phase: Saturation
% 27.19/4.28  % (1289567)Time elapsed: 0.451 s
% 27.19/4.28  % (1289567)Peak memory usage: 35 MB
% 27.19/4.28  % (1289567)Instructions burned: 869 (million)
% 27.19/4.28  % (1289570)ott+10_1_sil=32000:tgt=ground:random_seed=1766592409:i=5114:av=off_2971 on theBenchmark for (2971ds/5114Mi)
% 27.19/4.28  % (1289566)Instruction limit reached! 
% 27.19/4.28  % (1289566)------------------------------
% 27.19/4.28  % (1289566)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.28  % (1289566)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.28  % (1289566)CaDiCaL version: 2.1.3
% 27.19/4.28  % (1289566)Termination reason: Instruction limit
% 27.19/4.28  % (1289566)Termination phase: Finite model building preprocessing
% 27.19/4.28  % (1289566)Time elapsed: 1.051 s
% 27.19/4.28  % (1289566)Peak memory usage: 66 MB
% 27.19/4.28  % (1289566)Instructions burned: 2175 (million)
% 27.19/4.28  % (1289572)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=3233601985:i=54282_2965 on theBenchmark for (2965ds/54282Mi)
% 27.19/4.28  % (1289504)Instruction limit reached! 
% 27.19/4.28  % (1289504)------------------------------
% 27.19/4.28  % (1289504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.28  % (1289504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.28  % (1289504)CaDiCaL version: 2.1.3
% 27.19/4.28  % (1289504)Termination reason: Instruction limit
% 27.19/4.28  % (1289504)Termination phase: Saturation
% 27.19/4.28  % (1289504)Time elapsed: 2.489 s
% 27.19/4.28  % (1289504)Peak memory usage: 65 MB
% 27.19/4.28  % (1289504)Instructions burned: 5132 (million)
% 27.19/4.28  % (1289574)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=2631065184:i=3512:aac=none_2963 on theBenchmark for (2963ds/3512Mi)
% 27.19/4.28  % (1289224) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1289218-1289224"...
% 27.19/4.28  % (1289224)...printing done.
% 27.19/4.28  % (1289224)Refutation found. Thanks to Tanya!
% 27.19/4.28  % SZS status Theorem for theBenchmark
% 27.19/4.28  % SZS output start Proof for theBenchmark
% See solution above
% 27.19/4.28  % (1289224)------------------------------
% 27.19/4.28  % (1289224)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 27.19/4.28  % (1289224)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.19/4.28  % (1289224)CaDiCaL version: 2.1.3
% 27.19/4.28  % (1289224)Termination reason: Refutation
% 27.19/4.28  % (1289224)Time elapsed: 3.769 s
% 27.19/4.28  % (1289224)Peak memory usage: 46 MB
% 27.19/4.28  % (1289224)Instructions burned: 7627 (million)
% 27.19/4.28  % (1289218)Success in time 4.026 s
% 27.19/4.28  % Vampire exiting
%------------------------------------------------------------------------------